ARIMA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# SARIMA based month ahead forecasting of electricity cost\n",
    "#Import necessary dependencies\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "import pmdarima as pm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('price.csv', usecols=[2], engine='python').dropna() # Read data file\n",
    "original = data['cost'] # Get historical data\n",
    "original=original[:530].to_numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=212.850, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=409.394, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=62.096, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=225.473, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=407.636, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=271.123, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.20 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-79.517, Time=0.87 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=211.994, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-78.081, Time=2.01 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-78.072, Time=1.95 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=146.446, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-76.442, Time=2.46 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-72.399, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-79.151, Time=2.07 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-82.596, Time=1.18 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=54.496, Time=1.08 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-77.953, Time=2.72 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-79.995, Time=2.74 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=272.716, Time=0.19 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=147.202, Time=1.15 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-25.991, Time=1.96 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-79.482, Time=2.82 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-81.025, Time=0.99 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-80.167, Time=1.31 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-78.802, Time=1.37 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-80.968, Time=1.12 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-80.224, Time=1.51 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-84.650, Time=0.86 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=210.980, Time=0.15 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=52.839, Time=0.44 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-83.372, Time=1.75 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-83.347, Time=1.48 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=270.839, Time=0.07 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=145.311, Time=0.70 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-27.974, Time=0.74 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-82.051, Time=2.22 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-83.025, Time=0.60 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-81.516, Time=0.58 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-82.687, Time=1.01 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-82.680, Time=1.28 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-74.399, Time=0.51 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-82.976, Time=0.91 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-81.150, Time=0.79 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-85.104, Time=1.62 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=-15.481, Time=1.20 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=inf, Time=1.19 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-87.194, Time=2.61 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-27.602, Time=1.64 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-84.042, Time=3.04 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-87.166, Time=2.55 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-81.374, Time=2.24 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-81.375, Time=2.07 sec\n",
      " ARIMA(3,1,2)(2,0,1)[12]             : AIC=inf, Time=2.61 sec\n",
      " ARIMA(2,1,3)(2,0,1)[12]             : AIC=inf, Time=4.86 sec\n",
      " ARIMA(1,1,3)(2,0,1)[12]             : AIC=inf, Time=3.98 sec\n",
      " ARIMA(3,1,1)(2,0,1)[12]             : AIC=-80.338, Time=2.71 sec\n",
      " ARIMA(3,1,3)(2,0,1)[12]             : AIC=-81.087, Time=3.02 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12] intercept   : AIC=-61.991, Time=4.52 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(2,0,1)[12]          \n",
      "Total fit time: 87.510 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=189.183, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=402.997, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=26.531, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=204.369, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=401.125, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=257.984, Time=0.08 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.05 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-103.818, Time=0.98 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=188.759, Time=0.39 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-101.496, Time=2.18 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-101.818, Time=2.24 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=116.574, Time=0.55 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-100.196, Time=2.82 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-99.176, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-102.229, Time=1.10 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-101.941, Time=1.02 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-104.343, Time=0.93 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=26.403, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-102.343, Time=2.22 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-102.342, Time=2.08 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=297.010, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=119.941, Time=1.08 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-50.452, Time=0.88 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-100.724, Time=2.37 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-103.003, Time=1.05 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-80.851, Time=1.50 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-106.330, Time=0.54 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=202.401, Time=0.28 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=24.422, Time=0.17 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-104.330, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-104.330, Time=1.33 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=295.083, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=117.945, Time=0.59 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-52.441, Time=0.35 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-102.742, Time=1.64 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-101.165, Time=0.38 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-106.250, Time=0.79 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-104.991, Time=0.61 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-105.806, Time=0.55 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-104.325, Time=1.21 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.738 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=187.429, Time=0.44 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=402.092, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=13.933, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=202.442, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=400.259, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=257.796, Time=0.07 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.14 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-112.106, Time=1.06 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=187.224, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-110.237, Time=2.19 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-110.229, Time=2.52 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=111.033, Time=0.75 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-108.395, Time=1.96 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-105.233, Time=0.55 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-110.749, Time=1.09 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-108.597, Time=1.10 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-112.938, Time=0.81 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=13.647, Time=0.33 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-111.026, Time=2.01 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-111.062, Time=2.26 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=296.751, Time=0.08 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=113.828, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-61.741, Time=1.34 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-109.228, Time=2.42 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-111.732, Time=1.31 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-95.155, Time=1.41 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-114.935, Time=0.59 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=200.505, Time=0.22 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=11.647, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-113.074, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-113.065, Time=1.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=294.849, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=111.864, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-63.741, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-111.224, Time=1.20 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-107.230, Time=0.33 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-115.057, Time=0.61 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=185.465, Time=0.30 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=13.642, Time=0.47 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-113.090, Time=1.71 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-113.087, Time=1.81 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=257.551, Time=0.16 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=109.002, Time=0.86 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-64.854, Time=0.60 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-111.538, Time=1.88 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-114.103, Time=0.55 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-113.300, Time=1.04 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-113.244, Time=1.28 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-113.728, Time=0.59 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-112.745, Time=0.58 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-115.592, Time=1.31 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=inf, Time=1.12 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=4.745, Time=0.72 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-114.024, Time=3.07 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-114.452, Time=2.83 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-19.918, Time=0.59 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=2.29 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-63.362, Time=1.83 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-112.225, Time=3.09 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.96 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=1.94 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=3.43 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-112.453, Time=1.21 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-112.994, Time=1.94 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-88.470, Time=1.68 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 73.867 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=184.424, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=401.223, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=11.210, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=200.733, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=399.423, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=253.985, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.95 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-118.479, Time=1.06 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=184.493, Time=0.36 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-116.628, Time=2.58 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-116.408, Time=2.15 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=108.158, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-114.755, Time=2.61 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-111.036, Time=0.97 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-116.846, Time=1.21 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-117.215, Time=1.19 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-119.181, Time=0.87 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=10.978, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-117.336, Time=2.17 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-117.325, Time=2.41 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=295.453, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=111.296, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-66.066, Time=0.98 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-115.464, Time=2.56 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-117.834, Time=1.14 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-97.219, Time=1.27 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-121.180, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=198.821, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=8.980, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-119.335, Time=1.10 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-119.324, Time=1.11 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=293.580, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=109.360, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-68.060, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-117.471, Time=1.61 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-113.036, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-121.825, Time=0.67 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=182.489, Time=0.24 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=4.073, Time=0.50 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-119.869, Time=1.55 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-119.865, Time=1.71 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=253.911, Time=0.07 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=105.919, Time=0.77 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-70.252, Time=0.72 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-118.310, Time=2.55 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-120.478, Time=0.46 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-120.197, Time=1.04 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-120.102, Time=1.01 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-119.833, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-118.846, Time=0.60 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-123.810, Time=1.56 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=-60.719, Time=1.12 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=0.765, Time=0.55 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-123.615, Time=2.88 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-122.824, Time=3.15 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-33.719, Time=0.40 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=2.22 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-68.640, Time=1.65 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-121.075, Time=4.31 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.54 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=1.83 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=2.86 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-120.313, Time=1.51 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-121.483, Time=2.73 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-93.608, Time=1.63 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 76.269 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=184.601, Time=0.42 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=399.630, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=11.096, Time=0.57 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=200.764, Time=0.38 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=397.789, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=254.166, Time=0.15 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-118.062, Time=1.47 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=184.697, Time=0.43 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-116.220, Time=4.52 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-116.206, Time=2.19 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=107.200, Time=0.70 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-114.308, Time=2.72 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-110.975, Time=0.72 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-116.443, Time=1.15 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-118.016, Time=1.23 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-118.769, Time=1.11 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=10.941, Time=0.31 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-116.933, Time=2.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-116.902, Time=2.56 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=295.587, Time=0.12 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=110.111, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-65.557, Time=1.05 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-115.017, Time=2.49 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-117.508, Time=1.08 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-117.329, Time=1.58 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-120.768, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=198.854, Time=0.17 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=8.942, Time=0.13 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-118.932, Time=1.03 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-118.921, Time=1.04 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=293.720, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=108.147, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-67.555, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-117.016, Time=1.36 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-112.974, Time=0.38 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-121.763, Time=0.98 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=182.673, Time=0.47 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=4.074, Time=0.65 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-119.814, Time=1.75 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-119.810, Time=1.64 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=254.107, Time=0.08 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=104.839, Time=0.75 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-69.762, Time=0.63 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-118.169, Time=1.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-120.061, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-120.046, Time=0.96 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-119.973, Time=1.07 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-119.507, Time=0.55 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-118.455, Time=0.60 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-126.085, Time=1.37 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=-60.093, Time=1.06 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=0.743, Time=0.60 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-123.787, Time=2.70 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-123.702, Time=2.53 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-33.403, Time=0.41 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=2.27 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-68.048, Time=1.80 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-119.662, Time=3.33 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.24 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=2.05 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=1.21 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-120.263, Time=1.32 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-122.412, Time=2.04 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-117.904, Time=1.75 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 74.817 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=178.705, Time=0.54 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=394.174, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=10.956, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=195.792, Time=0.55 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=392.279, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=246.775, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-119.740, Time=1.12 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=179.041, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-115.812, Time=2.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-117.810, Time=2.16 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=103.541, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-116.000, Time=2.78 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-113.381, Time=0.71 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-118.009, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-119.324, Time=1.08 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-120.259, Time=0.81 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=10.901, Time=0.28 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-118.362, Time=2.11 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-118.357, Time=1.92 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=288.076, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=106.888, Time=0.67 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-65.688, Time=1.22 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-116.526, Time=2.94 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-118.406, Time=1.06 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-98.830, Time=1.40 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-122.256, Time=0.51 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=193.843, Time=0.22 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=8.902, Time=0.27 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-120.360, Time=1.32 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-120.354, Time=1.05 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=286.149, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=104.904, Time=0.52 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-67.688, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-118.523, Time=1.32 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-115.379, Time=0.36 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-122.795, Time=1.13 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=176.740, Time=0.25 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=4.065, Time=0.50 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-120.820, Time=1.49 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-120.818, Time=1.41 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=246.721, Time=0.05 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=100.876, Time=0.77 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-69.773, Time=0.68 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-119.216, Time=1.93 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-121.738, Time=0.48 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-121.142, Time=1.01 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-121.057, Time=1.11 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-120.744, Time=0.76 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-120.006, Time=0.57 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-127.283, Time=1.54 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=-64.125, Time=1.11 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=0.864, Time=0.96 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-125.832, Time=3.03 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-125.636, Time=2.88 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-37.544, Time=0.34 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=2.47 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-86.820, Time=2.75 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-124.185, Time=4.17 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.88 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=2.66 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=3.24 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-121.154, Time=1.27 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-124.179, Time=2.31 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-95.627, Time=2.16 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 78.623 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=178.685, Time=0.91 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=395.394, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=8.073, Time=0.51 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=195.925, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=393.529, Time=0.11 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=246.783, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.58 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-122.794, Time=1.38 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=179.105, Time=0.39 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-120.926, Time=3.16 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-120.917, Time=2.22 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=103.107, Time=0.73 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-119.011, Time=2.46 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-115.653, Time=0.65 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-121.536, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-123.900, Time=1.31 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=2.898, Time=1.04 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-116.812, Time=3.17 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-119.336, Time=2.81 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=248.724, Time=0.16 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=102.619, Time=1.16 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-72.862, Time=1.73 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-120.854, Time=3.14 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-123.726, Time=0.93 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-120.440, Time=1.27 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-101.043, Time=1.19 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-122.780, Time=1.31 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-99.344, Time=2.07 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-126.717, Time=0.68 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=176.719, Time=0.24 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=1.260, Time=0.53 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-124.770, Time=1.42 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-124.765, Time=2.11 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=246.770, Time=0.07 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=100.643, Time=0.82 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-74.833, Time=0.72 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-123.096, Time=2.74 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-125.725, Time=0.50 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-124.793, Time=0.43 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-124.929, Time=0.99 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-124.881, Time=1.14 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-117.652, Time=0.36 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-124.780, Time=0.69 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-123.540, Time=0.69 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-129.215, Time=1.71 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=-64.856, Time=1.11 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=-2.191, Time=0.63 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-128.605, Time=3.73 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-128.195, Time=2.96 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-37.720, Time=0.73 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=3.89 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-72.314, Time=1.72 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-123.870, Time=3.29 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.61 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=1.88 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=2.14 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-124.281, Time=1.16 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-126.599, Time=1.90 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 79.887 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=178.699, Time=0.46 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=394.850, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=5.007, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=195.899, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=393.015, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=245.712, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.06 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-125.574, Time=0.85 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=179.077, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-121.910, Time=2.79 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-121.218, Time=2.30 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=104.024, Time=1.63 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-121.820, Time=2.69 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-116.716, Time=0.68 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-121.531, Time=1.19 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-124.747, Time=1.36 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-126.674, Time=0.95 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=4.529, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-124.794, Time=2.19 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-124.788, Time=2.17 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=288.601, Time=0.13 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=106.991, Time=0.86 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-73.187, Time=1.06 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-122.914, Time=2.29 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-125.508, Time=1.12 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-105.848, Time=1.28 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-128.674, Time=0.71 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=193.966, Time=0.13 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=2.546, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-126.794, Time=1.25 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-126.788, Time=1.74 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=286.673, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=105.017, Time=0.59 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-75.174, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-124.914, Time=1.16 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-118.716, Time=0.37 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-128.927, Time=0.77 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=176.723, Time=0.21 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=4.537, Time=0.46 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-126.961, Time=1.83 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-126.959, Time=1.79 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12]             : AIC=245.636, Time=0.08 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=101.582, Time=0.89 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-76.515, Time=0.83 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-125.294, Time=2.61 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-127.573, Time=0.57 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-127.336, Time=1.11 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-127.243, Time=1.68 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-127.508, Time=0.94 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-126.366, Time=0.79 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-130.727, Time=1.79 sec\n",
      " ARIMA(2,1,2)(0,0,1)[12]             : AIC=inf, Time=1.15 sec\n",
      " ARIMA(2,1,2)(1,0,0)[12]             : AIC=-5.129, Time=0.98 sec\n",
      " ARIMA(2,1,2)(2,0,1)[12]             : AIC=-129.213, Time=3.11 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-129.197, Time=3.64 sec\n",
      " ARIMA(2,1,2)(0,0,0)[12]             : AIC=-38.236, Time=0.49 sec\n",
      " ARIMA(2,1,2)(0,0,2)[12]             : AIC=inf, Time=2.21 sec\n",
      " ARIMA(2,1,2)(2,0,0)[12]             : AIC=-72.996, Time=1.46 sec\n",
      " ARIMA(2,1,2)(2,0,2)[12]             : AIC=-124.929, Time=3.30 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.34 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=2.01 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=2.77 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-126.350, Time=1.18 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-125.718, Time=1.97 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12] intercept   : AIC=-106.496, Time=1.44 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,2)(1,0,1)[12]          \n",
      "Total fit time: 78.728 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=167.530, Time=0.42 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=384.462, Time=0.07 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-0.809, Time=0.55 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=184.702, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=382.773, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=234.891, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.06 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-136.709, Time=0.86 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=167.763, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-134.794, Time=2.03 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-131.243, Time=1.90 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=94.416, Time=0.71 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-132.829, Time=2.32 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-128.538, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-134.885, Time=1.06 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-136.167, Time=1.04 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-137.370, Time=0.89 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-0.918, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-135.510, Time=1.90 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-135.501, Time=2.59 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=276.775, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=97.869, Time=0.71 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-79.954, Time=1.12 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-133.499, Time=2.48 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-135.720, Time=1.49 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-114.721, Time=1.51 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-139.368, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=182.872, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-2.862, Time=0.24 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-137.508, Time=1.13 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-137.499, Time=1.22 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=274.964, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=95.969, Time=0.55 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-81.897, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-135.505, Time=2.11 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-130.537, Time=0.41 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-138.825, Time=0.75 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-137.718, Time=0.63 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-138.708, Time=0.45 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-137.346, Time=1.09 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.199 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=167.486, Time=0.37 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=383.993, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-1.463, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=184.627, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=382.324, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=234.967, Time=0.05 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.94 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-136.979, Time=1.02 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=167.720, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-135.107, Time=2.19 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-134.616, Time=2.18 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=94.495, Time=0.77 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-133.111, Time=2.45 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-128.600, Time=0.76 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-135.374, Time=1.11 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-136.097, Time=1.36 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-137.811, Time=1.08 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-1.681, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-135.946, Time=2.04 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-135.936, Time=2.09 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=276.745, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=97.961, Time=0.73 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-81.230, Time=1.72 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-133.947, Time=2.76 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-136.257, Time=1.41 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-114.978, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-139.809, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=182.806, Time=0.16 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-3.632, Time=0.17 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-137.944, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-137.936, Time=1.12 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=274.936, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=96.064, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-83.184, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-135.946, Time=1.26 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-130.598, Time=0.41 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-139.460, Time=0.62 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-138.322, Time=0.67 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-138.978, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-137.917, Time=1.06 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.248 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=167.886, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=383.366, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-1.779, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=185.383, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=381.719, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=233.315, Time=0.08 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.31 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-138.419, Time=0.91 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=168.076, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-136.577, Time=2.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-136.568, Time=2.34 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=94.399, Time=0.83 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-134.496, Time=3.00 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-129.156, Time=1.27 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-137.124, Time=1.28 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-137.159, Time=1.08 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-139.328, Time=0.86 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-1.979, Time=0.31 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-137.487, Time=2.26 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-137.482, Time=2.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=276.022, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=97.923, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-81.577, Time=1.13 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-135.404, Time=2.69 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-137.758, Time=1.21 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-115.187, Time=1.25 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-141.327, Time=0.50 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=183.542, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-3.948, Time=0.17 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-139.489, Time=1.15 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-139.482, Time=1.24 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=274.235, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=96.028, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-83.534, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-137.410, Time=1.19 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-131.155, Time=0.40 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-140.615, Time=0.73 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-139.758, Time=0.69 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-140.418, Time=0.48 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-139.196, Time=1.13 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.420 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=168.186, Time=0.37 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=383.324, Time=0.08 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-1.206, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=185.442, Time=0.34 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=381.663, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=233.434, Time=0.07 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-140.836, Time=0.96 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=168.355, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-138.847, Time=2.29 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-138.792, Time=2.12 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=94.562, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-137.000, Time=2.40 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-131.578, Time=0.68 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-138.887, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-139.055, Time=1.14 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-141.098, Time=1.16 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-1.413, Time=0.33 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-139.108, Time=2.21 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-139.108, Time=1.99 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=275.886, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=98.107, Time=0.74 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-81.157, Time=0.79 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-137.278, Time=3.12 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-139.134, Time=1.34 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-133.599, Time=1.48 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-143.098, Time=0.50 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=183.634, Time=0.13 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-3.363, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-141.108, Time=1.00 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-141.108, Time=1.30 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=274.125, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=96.229, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-83.110, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-139.278, Time=1.30 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-133.577, Time=0.36 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-141.613, Time=0.76 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-141.134, Time=0.72 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-142.836, Time=0.82 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-140.604, Time=1.24 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.509 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=167.454, Time=0.58 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=383.674, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-1.702, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=185.198, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=381.966, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=231.377, Time=0.08 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.12 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-140.824, Time=0.96 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=167.430, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-138.840, Time=1.92 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-138.640, Time=1.92 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=94.888, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-136.987, Time=2.84 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-131.745, Time=0.63 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-138.892, Time=1.07 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-132.624, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-141.088, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-1.849, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-139.101, Time=2.23 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-139.097, Time=2.12 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=274.217, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=98.459, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-81.606, Time=0.90 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-137.268, Time=2.48 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-139.121, Time=1.19 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-118.107, Time=1.70 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-143.087, Time=0.65 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=183.318, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-3.792, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-141.101, Time=2.23 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-141.100, Time=1.27 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=272.358, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=96.558, Time=0.68 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-83.555, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-139.267, Time=1.53 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-133.745, Time=0.33 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-141.600, Time=0.76 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-141.122, Time=0.82 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-142.824, Time=0.55 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-140.586, Time=1.04 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.471 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=157.282, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=379.560, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-12.513, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=176.492, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=377.991, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=220.928, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.19 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-156.504, Time=0.89 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=157.217, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-154.477, Time=2.20 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-154.504, Time=2.25 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=83.290, Time=0.80 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-152.736, Time=2.69 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-149.626, Time=0.79 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-150.619, Time=1.06 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-155.127, Time=1.04 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-156.741, Time=1.03 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-12.559, Time=0.36 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-154.741, Time=2.35 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-154.741, Time=2.74 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=265.776, Time=0.16 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=87.822, Time=0.77 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-95.512, Time=1.01 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-153.021, Time=2.21 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-154.794, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-130.364, Time=1.27 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-158.733, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=174.767, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-14.393, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-156.733, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-156.733, Time=1.12 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=264.084, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=86.087, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-97.358, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-155.012, Time=1.23 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-151.617, Time=0.36 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-157.226, Time=0.71 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-156.786, Time=0.78 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-158.496, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-155.949, Time=1.21 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.335 seconds\n",
      "Performing stepwise search to minimize aic\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=156.077, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=378.094, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-14.406, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=175.115, Time=0.22 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=376.430, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=219.353, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.00 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-161.002, Time=0.91 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=155.858, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-159.027, Time=2.07 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-158.686, Time=2.07 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=80.843, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-157.478, Time=3.09 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-154.176, Time=0.66 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-159.028, Time=1.18 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-158.823, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-161.214, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-14.513, Time=0.36 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-159.181, Time=2.12 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-159.215, Time=2.15 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=264.100, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=85.486, Time=0.83 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-100.513, Time=0.92 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-157.696, Time=2.22 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-159.275, Time=1.16 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-157.081, Time=1.30 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-163.211, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=173.302, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-16.408, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-161.234, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-161.233, Time=1.01 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=262.305, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=83.650, Time=0.58 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-102.428, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-159.704, Time=1.85 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-156.174, Time=0.30 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-162.063, Time=0.75 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-161.272, Time=0.62 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-163.001, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-159.299, Time=0.81 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 34.818 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=155.779, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=378.110, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-14.335, Time=0.41 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=175.096, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=376.421, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=218.862, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.36 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-160.413, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=155.630, Time=0.35 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-158.429, Time=2.17 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-158.429, Time=2.08 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=80.924, Time=0.91 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-156.860, Time=2.74 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-153.653, Time=0.64 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-158.462, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-159.522, Time=1.19 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-160.615, Time=0.96 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-14.453, Time=0.33 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-158.632, Time=1.79 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-158.371, Time=2.26 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=264.099, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=85.584, Time=0.97 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-100.261, Time=1.13 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-157.072, Time=2.28 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-158.519, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-145.762, Time=1.32 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-162.612, Time=0.41 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=173.289, Time=0.13 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-16.353, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-160.630, Time=1.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-160.629, Time=1.25 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=262.306, Time=0.12 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=83.733, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-102.182, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-159.080, Time=1.82 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-155.651, Time=0.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-161.520, Time=0.69 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-160.670, Time=0.63 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-162.411, Time=0.51 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-160.211, Time=1.32 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.565 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=156.586, Time=0.53 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=376.926, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-13.788, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=174.949, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=375.211, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=220.356, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.34 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-160.112, Time=0.86 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=156.430, Time=0.28 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-157.309, Time=2.31 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-158.135, Time=2.21 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=83.003, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-156.574, Time=2.22 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-153.360, Time=0.64 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-155.897, Time=1.03 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-158.028, Time=1.15 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-160.316, Time=0.96 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-13.965, Time=0.25 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-158.340, Time=1.86 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-158.339, Time=1.97 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=264.730, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=87.538, Time=0.66 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-99.390, Time=1.64 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-156.789, Time=4.01 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-158.372, Time=1.61 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-134.693, Time=1.81 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-162.313, Time=0.85 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=173.140, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-15.856, Time=0.23 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-160.337, Time=1.89 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-160.335, Time=2.02 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=262.955, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=85.729, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-101.288, Time=0.56 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-158.784, Time=1.64 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-155.356, Time=0.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-161.153, Time=0.74 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-160.370, Time=0.72 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-162.108, Time=0.56 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-159.841, Time=1.70 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 41.280 seconds\n",
      "Performing stepwise search to minimize aic\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=153.231, Time=0.57 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=371.614, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-14.570, Time=0.55 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=171.459, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=369.820, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=216.459, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.38 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-163.238, Time=1.47 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=153.130, Time=0.59 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-161.312, Time=2.44 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-160.581, Time=2.30 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=80.214, Time=0.89 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-159.781, Time=3.03 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-156.082, Time=0.82 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-161.327, Time=1.25 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-162.196, Time=1.36 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-163.487, Time=1.24 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-14.655, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-161.543, Time=2.40 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-161.587, Time=2.45 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=259.730, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=84.711, Time=1.28 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-101.593, Time=1.26 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-160.042, Time=3.38 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-161.547, Time=2.04 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-156.294, Time=1.55 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-165.486, Time=0.67 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=169.590, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-16.564, Time=0.27 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-163.591, Time=0.95 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-163.586, Time=1.14 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=257.879, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=82.855, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-103.519, Time=0.54 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-162.092, Time=2.09 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-158.081, Time=0.35 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-164.201, Time=0.69 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-163.546, Time=0.76 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-165.237, Time=0.65 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-161.613, Time=0.77 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 43.950 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=151.654, Time=0.44 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=369.862, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-13.681, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=170.491, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=368.027, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=214.122, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.34 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-160.290, Time=1.01 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=151.746, Time=0.35 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-158.369, Time=2.66 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-158.369, Time=2.73 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=78.664, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-156.671, Time=2.71 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-153.285, Time=1.10 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-158.382, Time=2.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-159.011, Time=1.63 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-160.519, Time=0.82 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-13.784, Time=0.34 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-158.599, Time=2.08 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-158.597, Time=2.08 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=258.449, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=83.351, Time=0.73 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-98.859, Time=1.03 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-156.904, Time=2.39 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-153.571, Time=1.17 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-158.058, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-162.519, Time=0.60 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=168.594, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-15.721, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-160.600, Time=1.22 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-160.597, Time=0.97 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=256.566, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=81.436, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-100.826, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-158.981, Time=2.16 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-155.285, Time=0.32 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-161.153, Time=0.75 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-160.561, Time=0.75 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-162.290, Time=0.51 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-160.064, Time=1.05 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 39.376 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=151.103, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=370.108, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-13.549, Time=0.53 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=170.646, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=368.287, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=211.877, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.35 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-160.546, Time=0.82 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=151.305, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-158.639, Time=2.81 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-158.629, Time=2.13 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=79.598, Time=0.75 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-156.976, Time=2.00 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-153.668, Time=0.95 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-158.154, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-159.178, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-160.728, Time=0.90 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-13.719, Time=0.33 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-158.673, Time=2.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-158.801, Time=2.13 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=257.788, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=84.423, Time=0.69 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-99.266, Time=1.10 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-157.168, Time=2.46 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-158.755, Time=1.35 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-136.433, Time=1.42 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-162.727, Time=0.69 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=168.753, Time=0.33 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-15.631, Time=0.27 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-160.821, Time=1.04 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-160.818, Time=0.98 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=255.891, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=82.538, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-101.223, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-159.217, Time=2.23 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-155.668, Time=0.35 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-161.387, Time=0.81 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-160.755, Time=0.65 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-162.546, Time=0.61 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-159.007, Time=0.89 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.101 seconds\n",
      "Performing stepwise search to minimize aic\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=150.188, Time=0.51 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=366.422, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-14.925, Time=0.35 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=168.716, Time=0.27 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=364.676, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=211.281, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.09 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-162.506, Time=1.25 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=150.289, Time=0.28 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-160.547, Time=2.42 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-160.557, Time=2.17 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=77.445, Time=0.64 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-159.001, Time=2.37 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-155.108, Time=0.81 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-160.524, Time=1.23 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-160.740, Time=1.44 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-162.699, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-15.085, Time=0.35 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-160.754, Time=2.23 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-160.751, Time=2.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=255.241, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=81.702, Time=0.82 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-101.198, Time=0.98 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-159.211, Time=2.50 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-160.699, Time=1.13 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-137.002, Time=1.34 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-164.699, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=166.858, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-16.964, Time=0.17 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-162.754, Time=0.81 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-162.751, Time=1.12 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=253.382, Time=0.03 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=79.856, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-103.130, Time=0.54 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-161.250, Time=1.95 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-157.108, Time=0.36 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-162.873, Time=0.77 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-162.712, Time=0.61 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-164.506, Time=0.48 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-160.774, Time=1.08 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.752 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=148.706, Time=0.50 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.948, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.739, Time=0.51 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=167.170, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.301, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=210.187, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.91 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-163.650, Time=1.27 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=148.997, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-161.697, Time=2.22 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-160.678, Time=2.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.587, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-159.728, Time=2.26 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-156.289, Time=0.85 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-161.651, Time=1.46 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-160.201, Time=1.56 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-163.546, Time=0.77 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-159.650, Time=1.24 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-165.647, Time=0.42 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=147.113, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-17.576, Time=0.19 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-163.695, Time=1.17 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-163.694, Time=0.89 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=208.253, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=73.785, Time=0.47 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.45 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-162.122, Time=1.99 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-158.286, Time=0.35 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-163.648, Time=0.60 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-163.648, Time=0.90 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-165.543, Time=0.40 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-161.648, Time=0.70 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.819 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=144.805, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=360.971, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.289, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=164.006, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=359.367, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=206.154, Time=0.08 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-163.669, Time=0.95 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=145.089, Time=0.55 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-161.715, Time=2.35 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-161.554, Time=2.42 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=74.731, Time=0.85 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-160.106, Time=2.87 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-156.398, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-161.443, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-161.668, Time=1.40 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-163.575, Time=0.98 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-159.642, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-165.666, Time=0.48 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=143.246, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-17.141, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-163.715, Time=1.24 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-163.714, Time=1.12 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=204.252, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=72.936, Time=0.37 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.55 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-162.134, Time=2.23 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-158.395, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-163.666, Time=0.67 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-163.666, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-165.573, Time=0.57 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-161.667, Time=0.84 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.723 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=146.349, Time=0.42 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.918, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.560, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=165.786, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.210, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.138, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-172.374, Time=0.89 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=146.545, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-170.456, Time=1.84 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-170.455, Time=2.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.180, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-168.779, Time=2.54 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-163.777, Time=0.67 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-170.398, Time=1.11 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-170.200, Time=1.60 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-172.455, Time=1.01 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-15.624, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-170.541, Time=2.16 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-170.539, Time=2.63 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=252.086, Time=0.18 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=79.794, Time=0.99 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-104.066, Time=1.23 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-168.881, Time=2.72 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-170.454, Time=1.27 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-160.031, Time=1.41 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-174.455, Time=0.52 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=163.920, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-17.592, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-172.540, Time=1.02 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-172.538, Time=1.37 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=250.263, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=77.916, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-106.054, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-170.968, Time=2.19 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-165.777, Time=0.29 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-172.404, Time=0.57 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-172.455, Time=0.57 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-174.374, Time=0.49 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-170.498, Time=0.84 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.182 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=146.686, Time=0.44 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.927, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.541, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=165.858, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.183, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.369, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.03 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-173.598, Time=0.81 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=146.861, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-171.148, Time=1.99 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-171.508, Time=2.28 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.178, Time=0.75 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-170.147, Time=2.57 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-164.861, Time=0.74 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-171.584, Time=1.31 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-167.101, Time=1.46 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-173.717, Time=1.22 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-15.569, Time=0.34 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-171.854, Time=2.28 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-171.875, Time=2.20 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=251.978, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=79.705, Time=0.82 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-104.712, Time=1.11 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-170.289, Time=2.97 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-171.681, Time=1.18 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-145.466, Time=1.58 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-175.716, Time=0.57 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=164.001, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-17.539, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-173.883, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-173.879, Time=1.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=250.144, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=77.822, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-106.708, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-172.400, Time=2.23 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-166.861, Time=0.31 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-173.742, Time=0.81 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-173.717, Time=0.55 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-175.597, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-172.099, Time=1.22 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.141 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=146.788, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.934, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.012, Time=0.41 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=166.201, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.164, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.377, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.14 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-173.586, Time=1.03 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=147.027, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-171.758, Time=2.89 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-171.752, Time=2.11 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.419, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-170.129, Time=2.36 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-164.790, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-171.607, Time=1.11 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-171.640, Time=1.08 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-173.673, Time=0.77 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-14.850, Time=0.35 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-171.852, Time=1.95 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-171.848, Time=2.06 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=252.077, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=80.026, Time=0.68 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-104.421, Time=0.98 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-170.235, Time=2.57 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-171.673, Time=1.11 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-146.426, Time=1.21 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-175.671, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=164.324, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-16.833, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-173.850, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-173.846, Time=0.99 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=250.224, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=78.128, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-106.419, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-172.361, Time=2.01 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-166.789, Time=0.32 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-173.643, Time=0.72 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-173.671, Time=0.53 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-175.584, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-171.693, Time=1.09 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.263 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=147.259, Time=0.48 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.950, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.966, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=166.395, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.181, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.825, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.09 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-173.072, Time=1.03 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=147.429, Time=0.30 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-171.233, Time=2.23 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-171.220, Time=2.20 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.242, Time=0.62 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-169.597, Time=2.28 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-164.230, Time=0.64 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-171.093, Time=1.17 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-164.641, Time=1.19 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-173.143, Time=1.21 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-15.767, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-171.314, Time=2.30 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-171.145, Time=2.36 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=252.348, Time=0.13 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=79.660, Time=0.81 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-104.390, Time=0.98 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-169.693, Time=2.69 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-171.143, Time=1.09 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-146.017, Time=1.37 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-175.142, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=164.522, Time=0.16 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-17.755, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-173.312, Time=1.28 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-173.309, Time=1.41 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=250.505, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=77.757, Time=0.63 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-106.388, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-171.813, Time=2.39 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-166.229, Time=0.38 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-173.277, Time=0.79 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-173.142, Time=0.77 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-175.071, Time=0.59 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-171.152, Time=1.20 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.356 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=147.270, Time=0.56 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=362.792, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.587, Time=0.59 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=166.310, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=361.006, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.725, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.16 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-173.257, Time=0.88 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=147.450, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-171.361, Time=2.06 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-171.402, Time=3.30 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.270, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-169.781, Time=2.34 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-164.264, Time=0.90 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-171.270, Time=1.15 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-170.359, Time=1.46 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-173.285, Time=0.87 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-15.397, Time=0.28 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-171.269, Time=1.90 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-171.438, Time=2.36 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=252.347, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=79.718, Time=0.92 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-104.031, Time=0.95 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-169.836, Time=2.31 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-170.981, Time=1.11 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-147.330, Time=1.21 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-175.284, Time=0.53 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=164.423, Time=0.18 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-17.377, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-173.443, Time=0.92 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-173.440, Time=1.02 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=250.488, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=77.821, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-106.026, Time=0.76 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-171.947, Time=1.99 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-166.264, Time=0.35 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-173.306, Time=0.67 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-173.285, Time=0.61 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-175.257, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-171.290, Time=1.34 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.350 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=147.237, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=361.307, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-15.844, Time=0.38 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=166.332, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=359.485, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=207.978, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-173.679, Time=0.92 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=147.446, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-171.812, Time=2.14 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-171.812, Time=2.02 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=75.258, Time=0.59 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-170.156, Time=2.15 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-165.097, Time=0.56 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-171.684, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-171.513, Time=1.61 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-173.673, Time=1.30 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-169.687, Time=1.78 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-175.678, Time=0.46 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=145.542, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-17.819, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-173.812, Time=1.39 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-173.811, Time=1.17 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=206.077, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=73.349, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.53 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-172.268, Time=1.99 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-167.097, Time=0.30 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-173.686, Time=0.98 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-173.629, Time=0.85 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-175.673, Time=0.53 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-173.364, Time=1.08 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.937 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=144.133, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=356.574, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-20.393, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=162.641, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=354.698, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=204.982, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.06 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-177.244, Time=0.94 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=144.452, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-175.380, Time=2.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-175.378, Time=1.93 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.244, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-173.768, Time=2.22 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-168.024, Time=0.62 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-175.305, Time=1.20 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-175.425, Time=1.15 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-177.405, Time=0.83 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-20.072, Time=0.65 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-175.556, Time=2.05 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-175.477, Time=2.10 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=248.223, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=76.478, Time=0.75 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-109.082, Time=0.92 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-173.941, Time=2.53 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-175.408, Time=1.12 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-151.068, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-179.402, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=160.719, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-22.067, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-177.552, Time=0.92 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-177.549, Time=0.98 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=246.318, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=74.542, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-111.082, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-176.044, Time=2.33 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-170.022, Time=0.33 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-177.440, Time=0.84 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-177.405, Time=0.77 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-179.241, Time=0.45 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-175.458, Time=1.20 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.780 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=142.781, Time=0.55 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=356.117, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-20.140, Time=0.41 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=162.137, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=354.234, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=203.838, Time=0.15 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-178.717, Time=0.80 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=143.416, Time=0.35 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-176.835, Time=2.03 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-176.835, Time=1.98 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.710, Time=0.65 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-175.370, Time=3.09 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-168.926, Time=0.69 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-176.771, Time=1.20 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-175.648, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-178.837, Time=0.95 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-19.707, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-176.976, Time=2.00 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-176.974, Time=2.02 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=248.076, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=77.326, Time=0.68 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-109.524, Time=0.94 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-175.513, Time=2.28 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-170.734, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-154.661, Time=1.23 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-180.831, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=160.210, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-21.701, Time=0.14 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-178.969, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-178.968, Time=1.10 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=246.169, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=75.396, Time=0.80 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-111.524, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-177.507, Time=1.39 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-170.923, Time=0.53 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-178.832, Time=0.90 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-178.831, Time=0.66 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-180.712, Time=0.56 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-176.832, Time=1.09 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.552 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=141.832, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=356.025, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-20.203, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=161.740, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=354.138, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=201.565, Time=0.15 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-180.513, Time=0.82 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=142.548, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-178.768, Time=1.99 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-178.769, Time=2.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.566, Time=0.79 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-176.970, Time=2.34 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.005, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.246, Time=1.14 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-176.900, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.508, Time=0.81 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-176.465, Time=1.24 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-182.505, Time=0.44 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=140.575, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-22.195, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-180.759, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-180.758, Time=1.19 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=199.584, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=70.619, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.52 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-179.111, Time=2.25 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-172.999, Time=0.31 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-180.519, Time=0.56 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.535, Time=0.94 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.499, Time=0.45 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-180.144, Time=1.22 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.579 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=141.699, Time=0.39 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=354.111, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-20.599, Time=0.86 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=160.439, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=352.252, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=202.246, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-180.552, Time=0.98 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=142.199, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-176.289, Time=2.03 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-178.745, Time=2.14 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.363, Time=1.13 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-176.961, Time=2.77 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-170.827, Time=0.66 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.564, Time=1.05 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.406, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.527, Time=1.13 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-175.197, Time=1.27 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-182.544, Time=0.42 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=140.230, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-22.589, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-180.734, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-180.735, Time=1.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=200.261, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=70.419, Time=0.38 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.48 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-179.057, Time=1.96 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-172.820, Time=0.35 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-180.556, Time=0.78 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.569, Time=0.79 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.519, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-180.107, Time=1.08 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.039 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=141.081, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=352.329, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-18.718, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=159.354, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=350.499, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=201.641, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.02 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-181.970, Time=0.82 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=141.440, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-180.282, Time=2.36 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-180.291, Time=1.89 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.501, Time=0.57 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-178.374, Time=2.40 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.549, Time=0.63 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-179.982, Time=1.10 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.271, Time=1.10 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-181.929, Time=0.98 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-174.937, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-183.964, Time=0.40 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=139.478, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-20.714, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-182.275, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-182.283, Time=1.13 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=199.662, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=70.555, Time=0.61 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-180.524, Time=2.03 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.545, Time=0.46 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-181.976, Time=0.63 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-181.986, Time=0.80 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-183.923, Time=0.42 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-181.366, Time=1.13 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.197 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=140.909, Time=0.39 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=350.075, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-17.987, Time=0.31 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=158.924, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=348.305, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=201.138, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-179.451, Time=0.85 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=141.342, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-177.775, Time=2.05 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-177.787, Time=2.11 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=73.474, Time=0.58 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-175.773, Time=1.73 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-169.850, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-177.493, Time=1.19 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-175.626, Time=1.03 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-179.524, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-17.783, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-177.847, Time=2.40 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-177.884, Time=2.39 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=243.839, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=77.805, Time=0.69 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-107.278, Time=1.07 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-175.875, Time=1.93 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-177.412, Time=1.05 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-155.067, Time=1.16 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-181.520, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=157.038, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-19.776, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-179.874, Time=1.48 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-179.878, Time=1.08 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=241.968, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=75.907, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-109.273, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-178.069, Time=2.17 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-171.848, Time=0.35 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-179.530, Time=0.83 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-179.524, Time=0.60 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.447, Time=0.47 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-178.667, Time=1.40 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 34.834 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=139.338, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=350.379, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-17.935, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=158.115, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=348.604, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=199.945, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.57 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-178.092, Time=0.93 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=139.978, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-176.258, Time=2.03 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-176.273, Time=2.12 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=74.427, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-174.322, Time=1.97 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-168.010, Time=0.84 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-175.590, Time=1.08 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-173.747, Time=1.54 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-178.119, Time=0.94 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-17.688, Time=0.28 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-176.195, Time=2.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-176.320, Time=2.38 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=243.986, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=78.958, Time=1.05 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-105.345, Time=1.03 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-174.369, Time=2.15 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-176.114, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-154.205, Time=1.23 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-180.112, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=156.238, Time=0.11 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-19.682, Time=0.12 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-178.309, Time=0.97 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-178.312, Time=1.15 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=242.113, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=77.048, Time=0.61 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-107.334, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-176.369, Time=1.19 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-170.006, Time=0.45 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-178.146, Time=0.84 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-178.127, Time=0.80 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-180.087, Time=0.53 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-176.139, Time=0.98 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.446 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=138.568, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=350.274, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-21.718, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=157.353, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=348.460, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=200.171, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-181.446, Time=0.97 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=139.313, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-179.484, Time=2.18 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-179.587, Time=2.53 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=73.159, Time=0.64 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-177.606, Time=2.59 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-170.794, Time=0.74 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-179.454, Time=1.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.061, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-181.344, Time=1.05 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-177.470, Time=1.44 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-183.435, Time=0.52 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=137.374, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-23.718, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-181.570, Time=1.06 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-181.575, Time=1.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=198.226, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=71.208, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.49 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-179.594, Time=1.31 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-172.787, Time=0.33 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-181.443, Time=0.55 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-181.448, Time=0.87 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-183.333, Time=0.51 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-180.832, Time=1.24 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.229 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=138.045, Time=0.37 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=350.162, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-21.712, Time=0.41 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=156.946, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=348.319, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=199.413, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.08 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-181.492, Time=0.91 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=138.706, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-179.631, Time=2.23 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-179.636, Time=1.88 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=72.867, Time=0.98 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-177.647, Time=2.60 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.071, Time=0.84 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-177.204, Time=1.06 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-176.529, Time=1.59 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-181.368, Time=0.97 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-177.496, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-183.480, Time=0.64 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=136.749, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-23.712, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-181.617, Time=1.22 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-181.622, Time=1.21 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=197.448, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=70.897, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.53 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-179.636, Time=1.56 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-173.062, Time=0.33 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-181.483, Time=0.67 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-181.486, Time=0.78 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-183.356, Time=0.39 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-180.411, Time=1.08 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.057 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=136.817, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=349.894, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-23.287, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=156.371, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=348.077, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=198.594, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.22 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-183.710, Time=0.93 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=137.750, Time=0.35 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-178.926, Time=2.25 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.810, Time=2.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=71.449, Time=0.63 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-179.858, Time=2.13 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.152, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.735, Time=1.04 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-178.114, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.492, Time=1.46 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-179.548, Time=1.32 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-185.726, Time=0.48 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=135.815, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-25.287, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-183.816, Time=1.04 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-183.818, Time=1.14 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=196.656, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=69.504, Time=0.86 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-181.851, Time=1.41 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.147, Time=0.42 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-183.728, Time=0.74 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.728, Time=1.00 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.484, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-181.727, Time=0.78 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.972 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=136.592, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=349.719, Time=0.05 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-23.639, Time=0.34 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=156.447, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=347.892, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=197.669, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-183.658, Time=0.89 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=137.534, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-181.740, Time=2.60 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.742, Time=2.44 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=71.530, Time=0.63 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-179.769, Time=2.46 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.130, Time=0.86 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-180.129, Time=1.09 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.236, Time=1.19 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.417, Time=0.82 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-179.507, Time=1.29 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-185.651, Time=0.48 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=135.621, Time=0.13 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-25.639, Time=0.16 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-183.732, Time=1.31 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-183.734, Time=1.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=195.763, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=69.598, Time=0.53 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.54 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-181.773, Time=1.25 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.126, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-183.652, Time=0.56 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.653, Time=0.83 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.409, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-181.651, Time=0.76 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.328 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=133.488, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=345.188, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-27.068, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=152.833, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=343.313, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=195.279, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-184.320, Time=1.06 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=134.430, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-182.368, Time=2.12 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-182.366, Time=2.53 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=66.716, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-180.417, Time=2.14 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.935, Time=0.85 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-182.329, Time=1.16 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-176.214, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-184.036, Time=0.97 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-179.721, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-186.312, Time=0.47 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=132.493, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-29.067, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-184.359, Time=1.19 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-184.359, Time=1.11 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=193.352, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=64.753, Time=0.34 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.58 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-182.518, Time=2.88 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.931, Time=0.35 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-184.322, Time=0.70 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-184.330, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-186.027, Time=0.44 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-182.356, Time=1.14 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.175 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.102, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=343.167, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-27.119, Time=0.34 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=151.256, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=341.255, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=193.623, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.09 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-183.355, Time=0.95 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=132.995, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-181.411, Time=2.04 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.412, Time=1.82 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=65.309, Time=0.71 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-179.467, Time=1.90 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.626, Time=0.78 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.345, Time=1.14 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-179.681, Time=1.43 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.070, Time=1.11 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-179.376, Time=1.25 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-185.350, Time=0.49 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=131.023, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-29.113, Time=0.19 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-183.400, Time=1.01 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-183.401, Time=1.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=191.659, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=63.321, Time=0.33 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.52 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-181.565, Time=2.31 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.618, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-183.360, Time=0.72 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.367, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.059, Time=0.50 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-183.829, Time=1.23 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.411 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.240, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=343.459, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-26.986, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=151.460, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=341.553, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=194.106, Time=0.15 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.32 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-182.665, Time=1.83 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.228, Time=0.46 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-180.443, Time=2.98 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-180.734, Time=2.58 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=65.527, Time=0.63 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-178.839, Time=2.75 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.695, Time=0.72 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-180.670, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.527, Time=1.29 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-182.436, Time=1.40 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-178.668, Time=1.25 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-184.653, Time=0.65 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=131.263, Time=0.17 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-28.979, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-182.722, Time=1.22 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-182.722, Time=1.48 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=192.150, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=63.551, Time=0.39 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.57 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-180.946, Time=2.08 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.687, Time=0.37 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-182.659, Time=0.61 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-182.665, Time=1.02 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-184.423, Time=0.67 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-180.693, Time=1.78 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 31.004 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.314, Time=0.46 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=343.176, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.364, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=151.038, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=341.254, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=192.346, Time=0.16 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.39 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-185.997, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=132.392, Time=0.30 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-182.635, Time=2.51 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-184.594, Time=3.27 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=64.232, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.227, Time=2.97 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.352, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.432, Time=1.10 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-181.975, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.045, Time=0.92 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-28.644, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-184.190, Time=2.12 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-184.184, Time=2.12 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=238.235, Time=0.13 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=68.609, Time=0.63 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-119.737, Time=1.06 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-182.848, Time=2.20 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-184.281, Time=1.10 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-162.419, Time=1.39 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.019, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=149.066, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-30.607, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-186.162, Time=0.97 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-186.158, Time=1.13 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=236.275, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=66.612, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-121.614, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-184.881, Time=2.26 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.335, Time=0.33 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.548, Time=0.86 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-186.258, Time=0.65 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.462, Time=0.56 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=130.408, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.332, Time=0.16 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-186.570, Time=1.20 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-186.567, Time=1.24 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=190.358, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=62.236, Time=0.48 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.56 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-185.248, Time=2.09 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.518, Time=0.59 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-184.567, Time=1.03 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 44.537 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.352, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=341.932, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-30.005, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=150.835, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=340.031, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=192.357, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.481, Time=0.96 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=132.363, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-184.533, Time=2.22 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-184.585, Time=2.28 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=64.229, Time=1.53 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.214, Time=2.49 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.382, Time=0.70 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-173.232, Time=1.35 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-182.103, Time=1.69 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.031, Time=1.10 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-182.532, Time=1.26 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.455, Time=0.46 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=130.380, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.963, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-186.560, Time=1.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-186.557, Time=1.07 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=190.369, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=62.234, Time=0.49 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.46 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-185.231, Time=1.84 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.364, Time=0.32 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.515, Time=0.61 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.546, Time=0.77 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.005, Time=0.43 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-184.564, Time=1.12 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.380 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.345, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=340.077, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.792, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=150.390, Time=0.22 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=338.221, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=192.414, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.08 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.879, Time=0.82 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=132.328, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-184.939, Time=2.13 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.116, Time=2.06 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=64.422, Time=0.59 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.738, Time=2.26 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.225, Time=0.71 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.893, Time=1.06 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.701, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.515, Time=1.01 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-180.949, Time=1.33 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.864, Time=0.52 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=130.359, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.775, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-187.130, Time=1.35 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.124, Time=1.28 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=190.432, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=62.434, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-185.783, Time=2.04 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.215, Time=0.29 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.892, Time=0.64 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.913, Time=0.89 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.499, Time=0.62 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-184.942, Time=1.00 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.055 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=130.717, Time=0.39 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=335.861, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.636, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=149.369, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=334.062, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=190.181, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.749, Time=0.74 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=131.609, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-187.052, Time=2.25 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-187.005, Time=2.56 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=62.681, Time=1.17 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.814, Time=2.68 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.122, Time=0.56 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.736, Time=1.15 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.215, Time=1.53 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.451, Time=1.41 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.504, Time=1.31 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.739, Time=0.53 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=129.645, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.619, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-189.040, Time=1.27 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-189.028, Time=1.51 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=188.212, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=60.700, Time=0.51 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.44 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.870, Time=1.91 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.116, Time=0.35 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.751, Time=0.79 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.761, Time=1.01 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.440, Time=0.58 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.747, Time=0.92 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 28.294 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.905, Time=0.77 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=334.841, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.935, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=148.537, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=333.064, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=189.331, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.31 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.794, Time=0.81 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.842, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-187.091, Time=2.21 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-187.085, Time=2.26 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.918, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.847, Time=1.90 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.089, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-186.432, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.112, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.460, Time=1.43 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.812, Time=1.48 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.785, Time=0.41 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.892, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.929, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-189.087, Time=1.35 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-189.075, Time=1.36 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=187.372, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=59.961, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.894, Time=2.86 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.084, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.803, Time=0.89 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.817, Time=0.93 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.451, Time=0.53 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.844, Time=1.29 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 28.872 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.918, Time=0.49 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=334.142, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.118, Time=0.52 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.575, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=332.412, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.305, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.03 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.568, Time=1.05 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.839, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.884, Time=2.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.873, Time=2.33 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=60.677, Time=0.65 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.604, Time=2.48 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.157, Time=1.01 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-186.593, Time=1.00 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.477, Time=1.41 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.209, Time=1.04 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.582, Time=1.34 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.564, Time=0.49 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=127.933, Time=0.17 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.118, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.880, Time=1.34 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.868, Time=1.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.394, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=58.753, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.51 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.672, Time=2.60 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.156, Time=0.36 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.589, Time=0.69 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.606, Time=0.96 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.205, Time=0.38 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.628, Time=1.05 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 28.017 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.905, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=334.029, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.868, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.547, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=332.282, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.294, Time=0.08 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.96 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.623, Time=1.12 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.823, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.964, Time=2.09 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.962, Time=3.32 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=60.660, Time=0.61 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.727, Time=2.27 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.301, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.540, Time=1.07 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.440, Time=1.19 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.238, Time=1.02 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.660, Time=1.22 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.619, Time=0.46 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=127.910, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.867, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.969, Time=1.39 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.957, Time=1.44 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.375, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=58.735, Time=0.46 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.52 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.780, Time=2.09 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.300, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.652, Time=0.69 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.671, Time=0.99 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.233, Time=0.43 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.692, Time=1.10 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.377 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.909, Time=0.42 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=333.881, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.880, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.513, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=332.117, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.271, Time=0.08 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.99 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.708, Time=0.91 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.815, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-187.129, Time=2.24 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-187.116, Time=2.32 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=60.744, Time=0.64 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.855, Time=3.14 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.454, Time=0.57 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-186.769, Time=1.14 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.632, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.432, Time=1.01 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.618, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.738, Time=0.48 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=127.901, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.879, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-189.123, Time=1.48 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-189.110, Time=1.18 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.350, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=58.814, Time=0.42 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.73 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.918, Time=1.74 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.451, Time=0.50 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.780, Time=0.74 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.802, Time=0.89 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.325, Time=0.45 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.821, Time=1.08 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.012 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.484, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=333.913, Time=0.18 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-27.924, Time=0.69 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.995, Time=0.33 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=332.108, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.534, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.99 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.527, Time=1.05 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.377, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.014, Time=2.18 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.311, Time=2.08 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.091, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-184.697, Time=2.29 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-177.083, Time=0.62 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-182.233, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-183.301, Time=1.22 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.169, Time=1.10 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.554, Time=1.44 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.521, Time=0.61 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.442, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-29.922, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.006, Time=1.19 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.996, Time=1.24 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.605, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=59.126, Time=0.65 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.52 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.753, Time=2.20 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-179.079, Time=0.37 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.546, Time=0.71 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-187.562, Time=0.86 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.163, Time=0.41 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-185.586, Time=0.98 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.940 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=130.104, Time=0.42 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=333.044, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-27.920, Time=0.38 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.987, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=331.223, Time=0.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=190.049, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.653, Time=1.27 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=131.024, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-187.139, Time=2.09 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-187.192, Time=2.08 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=62.363, Time=0.65 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.790, Time=2.60 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-177.638, Time=0.70 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-186.678, Time=1.11 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.897, Time=1.16 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.261, Time=0.91 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-184.646, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-190.650, Time=0.42 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=129.099, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-29.918, Time=0.18 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-189.200, Time=1.13 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-189.192, Time=1.07 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=188.140, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=60.420, Time=0.44 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.46 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.893, Time=1.96 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-179.637, Time=0.45 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-188.677, Time=0.81 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.693, Time=1.07 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.258, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.715, Time=0.96 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.901 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.226, Time=0.38 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=331.448, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-28.833, Time=0.53 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=146.837, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=329.581, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=189.864, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.93 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.399, Time=0.93 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.242, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.977, Time=2.60 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.976, Time=3.24 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.005, Time=0.76 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-184.451, Time=2.73 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.214, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.453, Time=1.16 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-183.476, Time=1.15 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.925, Time=0.94 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.450, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.395, Time=0.53 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.289, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-30.824, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-187.971, Time=1.02 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.970, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=187.922, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=59.034, Time=0.44 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.542, Time=1.89 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.211, Time=0.36 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.449, Time=0.59 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.176, Time=0.71 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.920, Time=0.42 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-185.502, Time=0.97 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.766 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.316, Time=0.48 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=331.191, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.465, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=147.853, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=329.321, Time=0.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.497, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.710, Time=0.77 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.650, Time=0.29 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.234, Time=2.09 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.272, Time=2.29 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=59.313, Time=0.64 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-184.952, Time=2.61 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.494, Time=0.71 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.329, Time=1.07 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-183.785, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.167, Time=1.04 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.807, Time=1.17 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.704, Time=0.49 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.701, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.451, Time=0.16 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.269, Time=1.03 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.264, Time=1.15 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.545, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=57.330, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.51 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.023, Time=2.02 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.490, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.784, Time=0.57 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.230, Time=0.76 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.160, Time=0.52 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-185.838, Time=1.10 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.691 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.952, Time=0.38 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=332.005, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-26.931, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=148.274, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=330.190, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=187.921, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.12 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-185.758, Time=0.85 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.396, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-184.390, Time=2.45 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-184.384, Time=2.16 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.113, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.176, Time=2.48 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-174.750, Time=0.77 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-183.789, Time=1.08 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.321, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-185.323, Time=1.42 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-181.558, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-187.755, Time=0.52 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.443, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-28.926, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-186.386, Time=1.83 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-186.380, Time=1.35 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=185.959, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=59.145, Time=0.53 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.79 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-185.203, Time=1.87 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.748, Time=0.39 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-185.794, Time=0.62 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-184.633, Time=0.79 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-187.319, Time=0.64 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-183.830, Time=1.13 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 28.025 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=127.448, Time=0.38 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=327.506, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.755, Time=0.58 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.882, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=325.770, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=186.661, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-190.519, Time=1.30 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=128.437, Time=0.41 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-189.081, Time=3.05 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-188.472, Time=1.99 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.550, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-187.768, Time=2.50 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.568, Time=0.80 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-188.521, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-187.638, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-190.217, Time=0.98 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-186.520, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-192.518, Time=0.54 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=126.502, Time=0.15 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.755, Time=0.20 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-191.081, Time=1.25 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-191.071, Time=1.10 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=184.710, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=56.605, Time=0.42 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.36 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-189.805, Time=1.96 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.568, Time=0.37 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-190.521, Time=0.66 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-189.762, Time=0.79 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-192.237, Time=0.46 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-190.824, Time=1.10 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.646 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.652, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=327.090, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.375, Time=0.38 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=146.441, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=325.362, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=187.849, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.92 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-191.611, Time=0.90 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.328, Time=0.28 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-190.314, Time=2.04 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-190.288, Time=2.06 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.845, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-189.135, Time=2.17 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-178.809, Time=0.80 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-187.110, Time=1.03 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-186.936, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-191.440, Time=0.85 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-186.814, Time=1.19 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-193.611, Time=0.53 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.372, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-31.375, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-192.320, Time=1.40 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-192.288, Time=1.46 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=185.881, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=56.899, Time=1.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.41 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-191.227, Time=1.70 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-180.809, Time=0.36 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-191.615, Time=0.74 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-190.902, Time=1.09 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-193.440, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-192.192, Time=1.36 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.558 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.084, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.706, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.648, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=143.737, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=321.134, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=186.591, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.00 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.927, Time=0.92 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=128.861, Time=0.33 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.534, Time=2.31 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.498, Time=1.95 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=55.087, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.321, Time=2.52 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-174.178, Time=0.79 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.024, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.475, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.704, Time=0.99 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.913, Time=1.44 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.926, Time=0.45 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=127.018, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-33.620, Time=0.15 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.534, Time=0.97 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.497, Time=1.13 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=184.708, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=53.244, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.47 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.427, Time=2.00 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.175, Time=0.39 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.935, Time=0.63 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.784, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.702, Time=0.49 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-188.570, Time=1.15 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 25.917 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.519, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.347, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.998, Time=0.51 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.426, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=320.786, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=187.400, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.14 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.816, Time=0.93 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.658, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.450, Time=2.16 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.415, Time=2.92 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.457, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.233, Time=2.57 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-174.176, Time=0.97 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.830, Time=1.21 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.267, Time=1.09 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.642, Time=1.06 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.840, Time=1.27 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.814, Time=0.44 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=127.806, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-33.960, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.449, Time=1.07 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.414, Time=0.97 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=185.508, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=52.626, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.57 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-187.342, Time=2.38 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.173, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.828, Time=0.57 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-187.825, Time=1.04 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.640, Time=0.52 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-188.463, Time=1.43 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.813 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.722, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.350, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.109, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.657, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=320.824, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.039, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.90 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.614, Time=0.98 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.951, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.208, Time=2.23 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.174, Time=2.26 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.721, Time=0.62 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.927, Time=2.26 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.866, Time=0.62 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.614, Time=1.21 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-182.818, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.257, Time=0.99 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-182.557, Time=1.77 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.611, Time=0.49 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.138, Time=0.17 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-34.076, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-187.206, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.176, Time=1.09 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.202, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=52.915, Time=0.41 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.55 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.034, Time=2.06 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.862, Time=0.39 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.611, Time=0.63 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.611, Time=1.02 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.255, Time=0.77 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.991, Time=1.56 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.189 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.650, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.227, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.473, Time=0.65 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.516, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=320.683, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.020, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.736, Time=1.04 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.867, Time=0.28 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.330, Time=1.99 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.301, Time=2.07 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.733, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.990, Time=3.60 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.048, Time=0.92 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.738, Time=1.12 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-182.266, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.288, Time=0.84 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-182.649, Time=1.19 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.734, Time=0.45 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.043, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-34.446, Time=0.19 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-187.328, Time=0.98 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.300, Time=1.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.177, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=52.931, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.110, Time=1.74 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.045, Time=0.44 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.735, Time=0.60 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.736, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.286, Time=0.45 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-186.399, Time=1.16 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 26.863 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.151, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.318, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.273, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.825, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=320.709, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=188.337, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.08 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-185.895, Time=0.96 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.288, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-184.498, Time=2.78 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-184.466, Time=2.30 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.269, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.271, Time=2.65 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.271, Time=0.72 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-183.895, Time=1.25 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-181.937, Time=1.32 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-185.520, Time=0.84 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-181.846, Time=1.44 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-187.894, Time=0.54 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.417, Time=0.20 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-34.265, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-186.498, Time=1.13 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-186.467, Time=1.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=186.450, Time=0.07 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=52.401, Time=0.50 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.61 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-185.375, Time=2.31 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.270, Time=0.32 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-185.895, Time=0.64 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-185.895, Time=1.01 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-187.519, Time=0.44 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-183.904, Time=0.72 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 27.783 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.378, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.305, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.996, Time=0.38 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=145.112, Time=0.38 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=320.692, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=187.659, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.97 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.299, Time=0.92 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.540, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.042, Time=2.15 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.009, Time=2.24 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.352, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-184.679, Time=1.94 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.466, Time=0.68 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.313, Time=1.23 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.093, Time=1.39 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.099, Time=0.89 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-183.334, Time=1.51 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.297, Time=0.62 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.703, Time=0.17 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-33.983, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-188.041, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-188.008, Time=1.57 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=185.821, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=52.519, Time=0.44 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.837, Time=2.43 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.463, Time=0.48 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-187.311, Time=0.83 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-187.316, Time=1.38 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.097, Time=0.50 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-187.870, Time=1.62 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 28.333 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.880, Time=0.49 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.920, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.032, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=145.082, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=319.281, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=187.628, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.411, Time=1.06 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.819, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.172, Time=2.78 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.140, Time=3.46 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=52.708, Time=0.79 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.944, Time=2.89 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.274, Time=0.79 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-184.457, Time=1.40 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-183.997, Time=1.38 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-186.360, Time=1.25 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-182.505, Time=1.92 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.406, Time=0.72 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=128.987, Time=0.20 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-33.006, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-187.168, Time=1.17 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-187.136, Time=1.12 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=185.790, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=50.852, Time=0.48 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.90 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-186.023, Time=2.24 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.268, Time=0.38 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-186.453, Time=0.69 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-186.476, Time=1.07 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-188.355, Time=0.53 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-187.090, Time=1.13 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(1,0,1)[12]          \n",
      "Total fit time: 31.451 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.110, Time=0.33 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.811, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.599, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=146.794, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=319.075, Time=0.07 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=190.661, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.18 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-182.945, Time=0.86 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.192, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-182.092, Time=2.32 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-182.050, Time=1.94 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.214, Time=0.63 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-181.030, Time=2.25 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-167.365, Time=0.62 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.185, Time=1.22 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-181.087, Time=0.96 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.335, Time=0.87 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-29.562, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-182.597, Time=2.03 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-182.544, Time=2.22 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=228.265, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=56.741, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-128.005, Time=1.02 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-181.452, Time=1.51 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-181.333, Time=1.11 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-167.085, Time=1.39 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.332, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=144.933, Time=0.25 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-31.549, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-184.595, Time=0.92 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-184.546, Time=0.78 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=226.434, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=54.852, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-130.005, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-183.555, Time=1.55 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-169.363, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.329, Time=1.05 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-183.333, Time=0.63 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-184.942, Time=0.56 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-182.724, Time=1.37 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 33.778 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.076, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=322.764, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-29.564, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=146.641, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=321.066, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=193.024, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.12 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-183.019, Time=1.47 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=132.897, Time=0.50 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-182.242, Time=2.05 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.409, Time=2.22 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.613, Time=0.60 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-181.381, Time=2.47 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-166.279, Time=0.63 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.274, Time=1.11 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.429, Time=1.09 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.439, Time=0.80 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-29.367, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-182.793, Time=1.92 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-182.743, Time=1.73 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.342, Time=0.12 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=60.179, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-127.030, Time=1.24 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-181.864, Time=2.58 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-181.438, Time=1.17 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-164.699, Time=1.31 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.433, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=144.777, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-31.353, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-184.788, Time=1.11 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-184.739, Time=1.17 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.555, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.336, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-129.026, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-183.912, Time=1.95 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-168.275, Time=0.31 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.435, Time=0.85 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-183.434, Time=0.64 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-185.014, Time=0.48 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-182.857, Time=1.34 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.995 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.063, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.746, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-34.790, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=143.421, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=319.143, Time=0.07 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=193.149, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.06 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-187.643, Time=0.96 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.953, Time=0.22 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-186.673, Time=2.27 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.671, Time=2.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=56.966, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.036, Time=2.68 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-169.757, Time=0.68 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.708, Time=1.05 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-184.484, Time=1.25 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-187.984, Time=1.22 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-34.850, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-187.148, Time=2.28 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-187.138, Time=2.28 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=231.965, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.401, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-129.819, Time=1.05 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-185.444, Time=2.47 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-186.002, Time=1.28 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-169.865, Time=2.18 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-189.974, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=141.605, Time=0.13 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-36.813, Time=0.17 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-189.139, Time=0.88 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-189.128, Time=0.81 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.190, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.583, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-131.804, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-187.585, Time=2.13 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-171.748, Time=0.41 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.008, Time=1.05 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-187.992, Time=0.78 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-189.633, Time=0.61 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-187.757, Time=1.55 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.131 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.844, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=321.239, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-30.583, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=145.253, Time=0.32 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=319.627, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=195.562, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.26 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-182.689, Time=1.18 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.330, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-181.759, Time=2.13 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.772, Time=2.70 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=60.248, Time=0.67 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-180.031, Time=2.31 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-165.560, Time=0.66 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-180.991, Time=1.21 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.030, Time=1.24 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.024, Time=0.95 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-30.708, Time=0.33 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-182.260, Time=2.29 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-182.246, Time=2.38 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.037, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=62.379, Time=0.71 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-125.293, Time=0.90 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-180.470, Time=2.22 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-180.731, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-172.630, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.018, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.412, Time=0.18 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-32.689, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-184.255, Time=1.00 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-184.241, Time=1.05 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.259, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=60.526, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-127.289, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-182.668, Time=2.19 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-167.555, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.070, Time=1.00 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-183.053, Time=0.57 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-184.683, Time=0.62 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-183.041, Time=1.34 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.564 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.824, Time=0.53 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.969, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.744, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.742, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=319.373, Time=0.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=195.906, Time=0.05 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.12 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-182.722, Time=1.17 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.293, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-181.868, Time=2.36 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.677, Time=2.27 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.579, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-180.101, Time=3.46 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-165.246, Time=0.72 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.069, Time=1.27 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-179.423, Time=1.37 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.079, Time=1.47 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-31.842, Time=0.74 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-182.377, Time=2.63 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-182.367, Time=2.50 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=231.944, Time=0.14 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=60.600, Time=0.76 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-125.586, Time=1.15 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-180.549, Time=2.49 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-181.113, Time=1.15 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-171.804, Time=1.31 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.074, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=142.965, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-33.799, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-184.372, Time=0.87 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-184.362, Time=0.94 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.195, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.806, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-127.580, Time=0.32 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-182.757, Time=1.92 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-167.239, Time=0.40 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.123, Time=0.93 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-183.107, Time=0.57 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-184.716, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-183.050, Time=0.85 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 39.208 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=131.805, Time=0.46 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.080, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.617, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.571, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.592, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=196.151, Time=0.05 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.90 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-179.406, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.204, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-178.352, Time=2.04 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-178.397, Time=3.25 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=59.088, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-176.520, Time=2.76 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-161.912, Time=0.63 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.142, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.101, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.344, Time=0.81 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-32.898, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-179.469, Time=2.16 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-178.248, Time=2.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=231.429, Time=0.13 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=61.052, Time=0.68 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-126.752, Time=1.59 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-177.537, Time=2.37 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-178.352, Time=1.17 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-160.934, Time=1.35 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.337, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=142.819, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-34.870, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-181.463, Time=0.93 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-181.463, Time=1.00 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=229.753, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=59.303, Time=0.56 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-128.749, Time=0.65 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-179.670, Time=2.36 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-163.902, Time=0.62 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.350, Time=0.90 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-180.345, Time=0.84 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.399, Time=0.45 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-180.393, Time=1.03 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.354 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.493, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.412, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.598, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.992, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.913, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=198.094, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.91 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-180.004, Time=0.91 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.948, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-179.100, Time=2.40 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-179.098, Time=2.35 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=60.928, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-177.215, Time=2.54 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-162.517, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.739, Time=1.18 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-178.940, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.947, Time=0.92 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-32.931, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-180.188, Time=2.48 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-180.182, Time=3.34 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.808, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=62.787, Time=0.72 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-128.053, Time=1.18 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-178.246, Time=2.52 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-178.555, Time=1.13 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-174.649, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.942, Time=0.57 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.228, Time=0.18 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-34.911, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-182.184, Time=1.13 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-182.178, Time=1.15 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=231.099, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=60.982, Time=0.52 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-130.053, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-180.422, Time=1.73 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-164.511, Time=0.42 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.959, Time=1.53 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-180.952, Time=0.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.998, Time=0.74 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-180.863, Time=1.48 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 39.544 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.331, Time=0.49 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.297, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.542, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.921, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.806, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=197.726, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.35 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-179.976, Time=1.11 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.785, Time=0.39 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-179.068, Time=2.10 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-179.062, Time=2.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.267, Time=0.85 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-177.138, Time=2.51 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-162.614, Time=0.69 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.776, Time=1.28 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-178.261, Time=1.62 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-181.010, Time=0.89 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-31.896, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-180.253, Time=2.23 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-180.253, Time=2.37 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.486, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=63.211, Time=0.75 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-127.061, Time=1.49 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-178.241, Time=3.11 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-179.033, Time=1.34 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-175.919, Time=1.40 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-183.004, Time=0.61 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.161, Time=0.17 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-33.887, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-182.248, Time=0.97 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-182.248, Time=0.92 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.816, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=61.386, Time=0.52 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-129.060, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-180.439, Time=1.83 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-164.607, Time=0.44 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-181.042, Time=0.76 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-181.027, Time=0.67 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.970, Time=0.58 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-180.937, Time=0.95 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.733 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.688, Time=0.39 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.414, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.529, Time=0.61 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=145.104, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.943, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=198.118, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-179.414, Time=1.11 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=134.098, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-178.489, Time=2.36 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-178.489, Time=2.12 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.404, Time=0.73 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-176.580, Time=2.48 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-161.944, Time=0.64 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.234, Time=0.96 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.609, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.436, Time=1.00 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-31.887, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-179.648, Time=1.87 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-179.645, Time=2.37 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.602, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=63.307, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-127.231, Time=1.03 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-177.678, Time=2.52 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-178.452, Time=1.20 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-174.408, Time=1.50 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.429, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.375, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-33.876, Time=0.19 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-181.643, Time=0.85 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-181.639, Time=0.95 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.949, Time=0.08 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=61.490, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-129.230, Time=0.30 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-179.856, Time=2.07 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-163.935, Time=0.47 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.453, Time=1.10 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-180.444, Time=1.05 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.407, Time=0.57 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-180.537, Time=1.63 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.852 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.675, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.421, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.302, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.973, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.946, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=198.192, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.66 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-179.637, Time=1.43 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=134.032, Time=0.68 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-178.772, Time=3.53 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-178.749, Time=3.12 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.384, Time=1.29 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-176.908, Time=2.67 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-162.011, Time=0.53 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-178.441, Time=1.86 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-177.062, Time=1.43 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-180.661, Time=1.43 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-31.792, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-179.945, Time=2.00 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-179.942, Time=2.14 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.632, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=63.272, Time=0.69 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-127.128, Time=1.12 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-177.938, Time=2.02 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-178.678, Time=1.04 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-177.188, Time=1.92 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-182.651, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.230, Time=0.12 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-33.781, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-181.937, Time=0.81 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-181.934, Time=0.93 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.957, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=61.453, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-129.127, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-180.145, Time=2.05 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-164.001, Time=0.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-180.679, Time=0.71 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-180.668, Time=0.61 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-181.627, Time=0.41 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-180.753, Time=1.12 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 41.003 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=132.304, Time=0.34 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=320.444, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-31.512, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=144.970, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=318.939, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=197.110, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-180.884, Time=0.76 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=133.650, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-180.178, Time=2.30 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-180.182, Time=2.16 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=61.015, Time=0.66 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-178.316, Time=2.69 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-163.363, Time=0.98 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-179.882, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-179.778, Time=1.23 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-182.203, Time=1.08 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-32.131, Time=0.53 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-181.655, Time=2.81 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-181.659, Time=2.20 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=232.417, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=62.977, Time=0.73 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-128.467, Time=1.15 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-179.806, Time=2.86 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-180.296, Time=1.42 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-177.085, Time=1.83 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-184.191, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=143.226, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-34.117, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-183.644, Time=0.90 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-183.648, Time=0.94 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.760, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=61.176, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-130.467, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-181.859, Time=1.75 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-165.351, Time=0.27 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-182.373, Time=0.91 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-182.283, Time=0.62 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-182.872, Time=0.54 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-182.482, Time=0.84 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.799 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.920, Time=0.32 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=317.747, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-32.603, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=142.634, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=316.195, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=197.290, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-180.049, Time=1.04 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=131.577, Time=0.30 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-179.235, Time=2.37 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-179.239, Time=2.12 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.632, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-177.373, Time=2.32 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-162.553, Time=0.60 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-179.020, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-179.400, Time=1.44 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-181.328, Time=1.25 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-32.859, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-180.713, Time=2.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-180.711, Time=2.70 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=231.870, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.312, Time=0.73 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-128.027, Time=1.69 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-178.730, Time=2.33 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-179.408, Time=1.47 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-178.929, Time=1.61 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-183.312, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=140.860, Time=0.18 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-34.850, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-182.698, Time=0.93 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-182.703, Time=0.96 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=230.207, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.466, Time=0.52 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-130.025, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-180.877, Time=2.43 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-164.539, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-181.462, Time=0.81 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-181.391, Time=0.63 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-182.035, Time=0.64 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-181.602, Time=2.57 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 39.953 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=128.803, Time=0.48 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=316.096, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-34.141, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=141.526, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=314.444, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=196.554, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.38 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-182.559, Time=0.97 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.401, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-181.783, Time=2.53 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-181.829, Time=2.09 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.572, Time=0.59 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-179.719, Time=2.75 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-162.682, Time=0.65 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-181.333, Time=1.51 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-180.682, Time=1.38 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-183.947, Time=1.43 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-34.331, Time=0.40 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-183.451, Time=3.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-183.499, Time=2.66 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=230.442, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.265, Time=0.83 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-130.518, Time=1.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-181.254, Time=3.27 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-181.986, Time=2.07 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-180.330, Time=2.03 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-185.928, Time=0.50 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=139.696, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-36.297, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-185.432, Time=1.15 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-185.490, Time=1.68 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=228.650, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.410, Time=0.95 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-132.508, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-183.396, Time=2.60 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-164.667, Time=0.49 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-183.992, Time=0.99 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-183.966, Time=0.60 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-184.542, Time=0.45 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-184.452, Time=0.97 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 44.287 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=129.061, Time=0.37 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=318.388, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-37.173, Time=0.35 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=141.337, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=316.821, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=200.321, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.18 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.697, Time=0.84 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=130.708, Time=0.39 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.901, Time=1.98 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-186.015, Time=2.55 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.549, Time=0.77 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.347, Time=2.42 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-167.078, Time=0.56 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.847, Time=1.19 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-183.160, Time=2.03 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.108, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-37.436, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-187.565, Time=1.79 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-187.704, Time=2.24 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=234.650, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=60.198, Time=0.91 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-131.847, Time=1.15 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-184.854, Time=2.74 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-186.139, Time=1.15 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-182.369, Time=1.57 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.076, Time=0.51 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=139.626, Time=0.16 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-39.360, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-189.533, Time=0.89 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-189.672, Time=1.06 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=232.972, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.376, Time=0.56 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-133.822, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-187.685, Time=2.11 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-169.050, Time=0.41 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.121, Time=0.79 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-188.107, Time=0.56 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.668, Time=0.46 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-188.798, Time=1.44 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.971 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=127.716, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=319.021, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-38.283, Time=0.34 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=140.173, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=317.505, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=199.541, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.35 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.569, Time=1.04 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=129.331, Time=0.42 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.635, Time=2.48 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.742, Time=2.10 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.710, Time=0.73 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-183.040, Time=2.49 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-167.431, Time=0.61 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-186.057, Time=1.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-185.465, Time=1.23 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.279, Time=0.94 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.750, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-187.551, Time=2.49 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-187.679, Time=2.34 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=234.006, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=60.383, Time=0.75 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-131.678, Time=1.12 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-184.816, Time=2.52 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-186.371, Time=1.46 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-184.965, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.248, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=138.434, Time=0.14 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.687, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-189.520, Time=1.14 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-189.649, Time=0.79 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=232.288, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.574, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-133.650, Time=0.67 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-187.135, Time=1.73 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-169.405, Time=0.47 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.377, Time=0.86 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-188.339, Time=1.14 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.540, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-188.808, Time=1.29 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 38.280 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=126.324, Time=0.44 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=318.129, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-37.871, Time=0.33 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=137.859, Time=0.24 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=316.637, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=199.086, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=0.95 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-186.441, Time=0.77 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=127.469, Time=0.23 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-185.413, Time=2.13 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-185.511, Time=2.58 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.129, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-182.898, Time=2.43 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-167.644, Time=0.64 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-185.980, Time=1.14 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-185.899, Time=1.21 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-188.194, Time=0.91 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.226, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-187.373, Time=2.10 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-187.496, Time=2.10 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=231.440, Time=0.12 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.809, Time=0.66 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-131.925, Time=1.07 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-184.690, Time=2.37 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-186.297, Time=1.00 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-184.842, Time=1.32 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-190.164, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=136.168, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.137, Time=0.14 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-189.344, Time=0.93 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-189.467, Time=0.87 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=229.762, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.020, Time=0.54 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-133.904, Time=0.63 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-187.821, Time=2.28 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-169.616, Time=0.34 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-188.310, Time=0.73 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-188.266, Time=0.56 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-188.413, Time=0.50 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-188.780, Time=1.01 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 35.358 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=126.489, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=319.121, Time=0.06 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-38.055, Time=0.39 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=138.583, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=317.537, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=196.823, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-190.241, Time=1.06 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=127.476, Time=0.32 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-189.573, Time=2.26 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-189.683, Time=2.14 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=58.187, Time=0.71 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-186.985, Time=2.55 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.460, Time=0.56 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-189.867, Time=1.08 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-188.539, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-192.011, Time=0.99 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.695, Time=0.36 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-191.548, Time=1.86 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-191.671, Time=2.41 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=230.698, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.966, Time=1.86 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-135.948, Time=1.64 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-188.799, Time=2.47 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-190.146, Time=1.14 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-164.180, Time=1.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-193.997, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=136.785, Time=0.26 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.653, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-193.534, Time=1.03 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-193.670, Time=1.06 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=228.930, Time=0.04 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=58.117, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-137.945, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-191.897, Time=2.28 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.449, Time=0.37 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-192.177, Time=0.85 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-192.131, Time=0.60 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-192.228, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-192.474, Time=1.16 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 37.976 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=124.281, Time=0.57 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=314.944, Time=0.20 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-37.992, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.838, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=313.529, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=195.359, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.50 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-190.720, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=125.255, Time=0.45 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-190.197, Time=2.73 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-190.002, Time=2.01 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.474, Time=0.70 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-187.491, Time=1.94 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.609, Time=0.62 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-190.476, Time=1.04 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-188.456, Time=1.09 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-192.646, Time=0.71 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.612, Time=0.34 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-192.346, Time=2.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-192.438, Time=2.05 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=227.806, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.300, Time=0.62 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-135.860, Time=1.50 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-189.482, Time=2.91 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-190.821, Time=0.91 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-187.358, Time=1.55 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-194.623, Time=0.44 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=134.157, Time=0.14 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.571, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-194.332, Time=0.95 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-194.513, Time=0.97 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=226.168, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.479, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-137.857, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-192.840, Time=1.96 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.587, Time=0.28 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-192.858, Time=0.68 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-192.796, Time=0.50 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-192.698, Time=0.57 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-193.185, Time=0.84 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 36.024 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=123.719, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=313.326, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-38.020, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.478, Time=0.29 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=311.973, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=194.471, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.17 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-189.791, Time=1.38 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=124.800, Time=0.25 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-189.279, Time=2.70 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-189.331, Time=3.23 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.186, Time=0.61 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-186.584, Time=1.99 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-172.139, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-189.664, Time=1.37 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-185.690, Time=1.75 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-191.771, Time=0.86 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.756, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-191.473, Time=2.46 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-191.653, Time=2.08 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=227.116, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.049, Time=0.74 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-135.572, Time=1.32 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-188.577, Time=3.46 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-189.985, Time=1.09 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-135.874, Time=1.29 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-193.742, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=133.813, Time=0.17 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.719, Time=0.20 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-193.453, Time=1.02 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-193.625, Time=1.11 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=225.499, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.255, Time=0.55 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-137.568, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-191.884, Time=2.44 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-174.113, Time=0.32 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-192.040, Time=0.90 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-191.959, Time=0.62 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-191.765, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-192.274, Time=0.75 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 39.867 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=123.995, Time=0.43 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=313.104, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-36.806, Time=0.31 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.747, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=311.821, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=194.483, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.849, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=125.036, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-188.628, Time=2.20 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-188.792, Time=2.80 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.197, Time=0.58 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.786, Time=2.58 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.653, Time=0.86 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-188.673, Time=1.20 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-187.733, Time=1.31 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-190.800, Time=0.96 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-37.553, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-190.843, Time=2.48 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-135.270, Time=1.76 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-187.769, Time=4.19 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-191.046, Time=3.81 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=59.104, Time=0.92 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12] intercept   : AIC=-173.026, Time=2.14 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-189.301, Time=2.82 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12] intercept   : AIC=-188.395, Time=2.68 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12] intercept   : AIC=-137.788, Time=2.78 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-193.006, Time=0.89 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.370, Time=0.38 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-192.760, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-191.283, Time=2.18 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=134.156, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-192.803, Time=1.00 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12]             : AIC=-174.989, Time=0.85 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-191.973, Time=1.28 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12]             : AIC=-191.596, Time=1.10 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-190.755, Time=0.79 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-191.680, Time=2.38 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,2)[12]          \n",
      "Total fit time: 51.615 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=124.048, Time=0.52 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=313.172, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-36.854, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.772, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=311.855, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=194.494, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.46 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-188.713, Time=1.19 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=125.049, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-188.492, Time=2.34 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-188.659, Time=2.33 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=57.044, Time=0.73 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-185.652, Time=3.37 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.462, Time=0.87 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-188.578, Time=1.37 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-188.889, Time=1.61 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-35.651, Time=0.86 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-187.493, Time=3.20 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-188.928, Time=3.36 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=56.706, Time=1.24 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-186.122, Time=2.75 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-190.974, Time=2.52 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=58.927, Time=0.79 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-190.712, Time=1.15 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-187.688, Time=2.60 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-190.765, Time=3.93 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,0)(1,0,2)[12] intercept   : AIC=-172.788, Time=1.91 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12] intercept   : AIC=-189.488, Time=2.81 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12] intercept   : AIC=-128.659, Time=3.71 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-192.935, Time=1.15 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=57.126, Time=0.39 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-192.674, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-191.223, Time=1.82 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=134.102, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-192.726, Time=1.00 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12]             : AIC=-174.756, Time=0.72 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-191.939, Time=1.77 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12]             : AIC=-191.545, Time=1.07 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-190.623, Time=0.78 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=inf, Time=1.55 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,2)[12]          \n",
      "Total fit time: 58.731 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=122.923, Time=0.54 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=312.922, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-37.533, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.079, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=311.626, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=193.002, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-191.214, Time=0.92 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=124.046, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-191.054, Time=2.54 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-191.234, Time=2.40 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=55.732, Time=0.90 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-188.186, Time=2.17 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12] intercept   : AIC=-175.378, Time=1.82 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-191.854, Time=2.43 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=51.921, Time=1.24 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-191.365, Time=1.13 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-188.533, Time=2.73 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=118.605, Time=0.34 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-191.421, Time=2.61 sec\n",
      " ARIMA(3,1,0)(1,0,2)[12] intercept   : AIC=-189.564, Time=3.25 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12] intercept   : AIC=-189.736, Time=2.91 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-192.709, Time=2.95 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=55.369, Time=1.13 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-191.268, Time=1.05 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-189.110, Time=3.72 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-191.936, Time=2.87 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-193.731, Time=2.34 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=57.679, Time=0.98 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-193.416, Time=1.09 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-190.428, Time=3.55 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-193.500, Time=2.21 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12] intercept   : AIC=-188.503, Time=2.83 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12] intercept   : AIC=-117.506, Time=4.83 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-195.683, Time=1.20 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=55.917, Time=0.42 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-195.370, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-193.295, Time=1.95 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=133.440, Time=0.16 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-195.465, Time=0.84 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12]             : AIC=-177.337, Time=0.80 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-194.958, Time=1.68 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12]             : AIC=-194.421, Time=1.56 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-193.190, Time=1.17 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-184.694, Time=1.82 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,2)[12]          \n",
      "Total fit time: 72.002 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=124.523, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=312.638, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-35.602, Time=0.40 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=136.261, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=311.329, Time=0.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=194.144, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.29 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-189.073, Time=0.90 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=125.504, Time=0.27 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-188.847, Time=2.16 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-189.005, Time=2.46 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=55.357, Time=0.74 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-186.090, Time=2.52 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.768, Time=0.86 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-189.326, Time=1.52 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=120.390, Time=0.40 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-34.468, Time=0.63 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-189.519, Time=2.68 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.33 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-186.543, Time=3.19 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-189.708, Time=2.56 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=52.226, Time=1.71 sec\n",
      " ARIMA(3,1,0)(1,0,2)[12] intercept   : AIC=-187.694, Time=2.57 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12] intercept   : AIC=-187.989, Time=2.66 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-189.700, Time=2.88 sec\n",
      " ARIMA(3,1,1)(1,0,2)[12] intercept   : AIC=-184.820, Time=3.15 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12]             : AIC=-191.686, Time=1.21 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12]             : AIC=50.408, Time=0.59 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-191.270, Time=0.51 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12]             : AIC=-189.529, Time=2.07 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12]             : AIC=118.663, Time=0.21 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12]             : AIC=-191.488, Time=1.29 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-190.948, Time=1.10 sec\n",
      " ARIMA(3,1,0)(1,0,2)[12]             : AIC=-189.740, Time=1.37 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-193.037, Time=2.01 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=52.294, Time=0.74 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-192.957, Time=0.97 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-190.321, Time=2.60 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=118.456, Time=0.29 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-192.869, Time=2.06 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-192.531, Time=1.40 sec\n",
      " ARIMA(3,1,1)(1,0,2)[12]             : AIC=-191.195, Time=2.06 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-190.319, Time=2.47 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-192.033, Time=1.45 sec\n",
      " ARIMA(3,1,2)(1,0,2)[12]             : AIC=-193.858, Time=2.41 sec\n",
      " ARIMA(3,1,2)(0,0,2)[12]             : AIC=inf, Time=2.99 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=-193.359, Time=1.57 sec\n",
      " ARIMA(3,1,2)(2,0,2)[12]             : AIC=-190.715, Time=3.44 sec\n",
      " ARIMA(3,1,2)(0,0,1)[12]             : AIC=-135.059, Time=1.16 sec\n",
      " ARIMA(3,1,2)(2,0,1)[12]             : AIC=-193.670, Time=2.69 sec\n",
      " ARIMA(4,1,2)(1,0,2)[12]             : AIC=inf, Time=3.85 sec\n",
      " ARIMA(3,1,3)(1,0,2)[12]             : AIC=-185.356, Time=3.25 sec\n",
      " ARIMA(2,1,3)(1,0,2)[12]             : AIC=inf, Time=4.03 sec\n",
      " ARIMA(4,1,1)(1,0,2)[12]             : AIC=-190.365, Time=2.05 sec\n",
      " ARIMA(4,1,3)(1,0,2)[12]             : AIC=-210.768, Time=3.65 sec\n",
      " ARIMA(4,1,3)(0,0,2)[12]             : AIC=-149.788, Time=2.82 sec\n",
      " ARIMA(4,1,3)(1,0,1)[12]             : AIC=-212.591, Time=2.24 sec\n",
      " ARIMA(4,1,3)(0,0,1)[12]             : AIC=-131.069, Time=1.71 sec\n",
      " ARIMA(4,1,3)(1,0,0)[12]             : AIC=-145.860, Time=1.82 sec\n",
      " ARIMA(4,1,3)(2,0,1)[12]             : AIC=-210.475, Time=4.33 sec\n",
      " ARIMA(4,1,3)(0,0,0)[12]             : AIC=-108.334, Time=0.96 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(4,1,3)(2,0,0)[12]             : AIC=-172.756, Time=3.27 sec\n",
      " ARIMA(4,1,3)(2,0,2)[12]             : AIC=-208.373, Time=5.43 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=-188.278, Time=1.69 sec\n",
      " ARIMA(4,1,2)(1,0,1)[12]             : AIC=inf, Time=2.12 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12]             : AIC=-215.106, Time=2.33 sec\n",
      " ARIMA(5,1,3)(0,0,1)[12]             : AIC=-136.694, Time=1.53 sec\n",
      " ARIMA(5,1,3)(1,0,0)[12]             : AIC=inf, Time=1.64 sec\n",
      " ARIMA(5,1,3)(2,0,1)[12]             : AIC=-213.838, Time=4.77 sec\n",
      " ARIMA(5,1,3)(1,0,2)[12]             : AIC=-213.331, Time=4.22 sec\n",
      " ARIMA(5,1,3)(0,0,0)[12]             : AIC=-119.935, Time=0.86 sec\n",
      " ARIMA(5,1,3)(0,0,2)[12]             : AIC=-154.125, Time=3.30 sec\n",
      " ARIMA(5,1,3)(2,0,0)[12]             : AIC=inf, Time=3.82 sec\n",
      " ARIMA(5,1,3)(2,0,2)[12]             : AIC=-199.547, Time=5.66 sec\n",
      " ARIMA(5,1,2)(1,0,1)[12]             : AIC=-190.124, Time=2.23 sec\n",
      " ARIMA(5,1,4)(1,0,1)[12]             : AIC=inf, Time=3.04 sec\n",
      " ARIMA(4,1,4)(1,0,1)[12]             : AIC=-190.343, Time=2.83 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12] intercept   : AIC=-178.534, Time=2.99 sec\n",
      "\n",
      "Best model:  ARIMA(5,1,3)(1,0,1)[12]          \n",
      "Total fit time: 159.018 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=124.379, Time=0.60 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=310.333, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-36.271, Time=0.36 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=135.562, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=308.942, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=193.915, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.11 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-189.041, Time=0.94 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=125.294, Time=0.40 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-188.848, Time=2.33 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-188.975, Time=2.40 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=54.931, Time=0.69 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-186.257, Time=2.41 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.535, Time=0.58 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-189.175, Time=1.04 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=120.344, Time=0.34 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-34.942, Time=0.50 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-189.440, Time=2.63 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.71 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-186.600, Time=2.98 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-189.598, Time=2.27 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=51.547, Time=0.85 sec\n",
      " ARIMA(3,1,0)(1,0,2)[12] intercept   : AIC=-187.411, Time=2.61 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12] intercept   : AIC=-186.903, Time=2.67 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-188.930, Time=2.36 sec\n",
      " ARIMA(3,1,1)(1,0,2)[12] intercept   : AIC=-185.674, Time=3.11 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12]             : AIC=-191.554, Time=0.88 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12]             : AIC=49.750, Time=0.54 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-191.230, Time=0.55 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12]             : AIC=-189.743, Time=2.28 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12]             : AIC=118.603, Time=0.22 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12]             : AIC=-191.393, Time=1.04 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-190.919, Time=0.82 sec\n",
      " ARIMA(3,1,0)(1,0,2)[12]             : AIC=-189.619, Time=1.24 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-193.414, Time=1.90 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=51.610, Time=1.18 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-193.464, Time=1.52 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=118.453, Time=0.48 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-51.665, Time=0.64 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-192.943, Time=2.31 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=193.701, Time=0.15 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-143.629, Time=1.34 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-190.856, Time=2.69 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-191.708, Time=1.20 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-191.529, Time=1.20 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-190.425, Time=1.22 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-191.096, Time=0.79 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-193.328, Time=1.04 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-189.268, Time=0.72 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=-194.613, Time=1.30 sec\n",
      " ARIMA(3,1,2)(0,0,1)[12]             : AIC=-135.149, Time=1.19 sec\n",
      " ARIMA(3,1,2)(1,0,0)[12]             : AIC=-61.031, Time=1.09 sec\n",
      " ARIMA(3,1,2)(2,0,1)[12]             : AIC=-194.324, Time=2.49 sec\n",
      " ARIMA(3,1,2)(1,0,2)[12]             : AIC=-194.374, Time=2.17 sec\n",
      " ARIMA(3,1,2)(0,0,0)[12]             : AIC=-106.696, Time=0.64 sec\n",
      " ARIMA(3,1,2)(0,0,2)[12]             : AIC=inf, Time=2.98 sec\n",
      " ARIMA(3,1,2)(2,0,0)[12]             : AIC=-152.849, Time=1.92 sec\n",
      " ARIMA(3,1,2)(2,0,2)[12]             : AIC=-191.573, Time=2.80 sec\n",
      " ARIMA(4,1,2)(1,0,1)[12]             : AIC=-187.577, Time=1.79 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=inf, Time=1.69 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=1.81 sec\n",
      " ARIMA(4,1,1)(1,0,1)[12]             : AIC=-190.681, Time=1.40 sec\n",
      " ARIMA(4,1,3)(1,0,1)[12]             : AIC=-213.006, Time=1.80 sec\n",
      " ARIMA(4,1,3)(0,0,1)[12]             : AIC=-131.249, Time=1.52 sec\n",
      " ARIMA(4,1,3)(1,0,0)[12]             : AIC=-147.277, Time=1.52 sec\n",
      " ARIMA(4,1,3)(2,0,1)[12]             : AIC=-210.993, Time=4.02 sec\n",
      " ARIMA(4,1,3)(1,0,2)[12]             : AIC=-211.878, Time=4.14 sec\n",
      " ARIMA(4,1,3)(0,0,0)[12]             : AIC=-108.186, Time=0.87 sec\n",
      " ARIMA(4,1,3)(0,0,2)[12]             : AIC=-150.740, Time=2.99 sec\n",
      " ARIMA(4,1,3)(2,0,0)[12]             : AIC=inf, Time=3.06 sec\n",
      " ARIMA(4,1,3)(2,0,2)[12]             : AIC=-210.788, Time=5.44 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12]             : AIC=-215.838, Time=2.08 sec\n",
      " ARIMA(5,1,3)(0,0,1)[12]             : AIC=-136.988, Time=1.64 sec\n",
      " ARIMA(5,1,3)(1,0,0)[12]             : AIC=-146.829, Time=1.74 sec\n",
      " ARIMA(5,1,3)(2,0,1)[12]             : AIC=-214.590, Time=4.33 sec\n",
      " ARIMA(5,1,3)(1,0,2)[12]             : AIC=-214.673, Time=3.98 sec\n",
      " ARIMA(5,1,3)(0,0,0)[12]             : AIC=-119.352, Time=0.85 sec\n",
      " ARIMA(5,1,3)(0,0,2)[12]             : AIC=-156.451, Time=2.66 sec\n",
      " ARIMA(5,1,3)(2,0,0)[12]             : AIC=-140.923, Time=2.51 sec\n",
      " ARIMA(5,1,3)(2,0,2)[12]             : AIC=inf, Time=5.74 sec\n",
      " ARIMA(5,1,2)(1,0,1)[12]             : AIC=-190.218, Time=2.17 sec\n",
      " ARIMA(5,1,4)(1,0,1)[12]             : AIC=inf, Time=2.63 sec\n",
      " ARIMA(4,1,4)(1,0,1)[12]             : AIC=-185.588, Time=2.03 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12] intercept   : AIC=-167.684, Time=2.44 sec\n",
      "\n",
      "Best model:  ARIMA(5,1,3)(1,0,1)[12]          \n",
      "Total fit time: 144.902 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=122.357, Time=0.45 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=304.881, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-38.305, Time=0.37 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=133.716, Time=0.25 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=303.317, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=191.396, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.01 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-189.719, Time=0.79 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=123.661, Time=0.29 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-189.260, Time=2.43 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-189.365, Time=2.13 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=51.338, Time=0.64 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-186.787, Time=2.46 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-171.929, Time=0.65 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-189.707, Time=1.19 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-189.449, Time=1.37 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-191.805, Time=0.90 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-38.704, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-191.650, Time=2.72 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-191.790, Time=3.24 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=222.690, Time=0.13 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=53.080, Time=0.82 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-137.140, Time=1.17 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-188.942, Time=4.58 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-190.049, Time=1.66 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-181.569, Time=1.71 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-193.757, Time=0.78 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=131.979, Time=0.25 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-40.655, Time=0.20 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-193.601, Time=1.07 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-193.738, Time=1.75 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=220.999, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=51.246, Time=0.62 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-139.103, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-191.957, Time=2.74 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-173.890, Time=0.59 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-192.082, Time=1.45 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-192.000, Time=0.77 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-191.676, Time=0.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-192.484, Time=0.85 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 43.860 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=111.044, Time=0.59 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=303.513, Time=0.12 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-42.032, Time=0.71 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=123.720, Time=0.50 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=301.923, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=186.481, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.56 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-190.387, Time=1.04 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=112.821, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-189.619, Time=2.66 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-189.718, Time=2.13 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=47.832, Time=0.96 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-187.130, Time=2.29 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-173.392, Time=0.56 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-190.283, Time=1.26 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-189.202, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-192.345, Time=1.03 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-42.389, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-191.152, Time=2.54 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-192.021, Time=1.95 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=220.027, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=49.808, Time=0.67 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-137.173, Time=1.24 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-189.215, Time=2.58 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-190.577, Time=1.35 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-185.257, Time=2.04 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-194.303, Time=0.63 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=121.885, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-44.368, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-193.842, Time=0.90 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-193.974, Time=1.05 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=218.302, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=47.927, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-139.135, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-192.149, Time=2.80 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-175.360, Time=0.79 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-192.610, Time=1.08 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-192.535, Time=0.74 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-192.350, Time=0.59 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-192.926, Time=1.15 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 41.040 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=107.415, Time=0.47 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=301.958, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-50.100, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=119.025, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=300.441, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=186.972, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-192.683, Time=1.19 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=109.241, Time=0.26 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-191.471, Time=2.58 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-191.533, Time=2.34 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=44.162, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-189.068, Time=3.25 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-175.012, Time=0.79 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-192.267, Time=1.29 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-192.820, Time=1.60 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-48.336, Time=0.89 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-192.103, Time=3.36 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-192.800, Time=3.83 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=188.511, Time=0.18 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=43.558, Time=1.11 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-140.566, Time=2.60 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-189.549, Time=3.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-193.981, Time=0.93 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-50.219, Time=0.36 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-193.584, Time=2.04 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-193.724, Time=2.33 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=219.983, Time=0.15 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=45.824, Time=0.65 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-138.393, Time=1.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-190.997, Time=4.18 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-191.186, Time=1.18 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-188.992, Time=1.99 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-196.473, Time=0.48 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=117.251, Time=0.13 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-52.169, Time=0.15 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-195.545, Time=0.94 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-195.672, Time=1.11 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=218.261, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=44.001, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-140.348, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-194.099, Time=2.39 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.976, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-194.818, Time=1.13 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-194.679, Time=1.01 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-194.640, Time=0.74 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-195.356, Time=0.99 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 57.492 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=107.216, Time=0.28 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=300.600, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-50.403, Time=0.34 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=118.632, Time=0.26 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=299.131, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=185.926, Time=0.09 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.23 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-192.753, Time=1.01 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=108.827, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-191.569, Time=2.15 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-190.573, Time=2.04 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=43.616, Time=0.68 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-189.138, Time=2.03 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-175.224, Time=1.01 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-187.811, Time=1.23 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-193.453, Time=1.01 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-48.646, Time=0.82 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-193.322, Time=2.40 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-193.108, Time=3.21 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=187.623, Time=0.17 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=43.115, Time=1.24 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-140.071, Time=2.60 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-190.040, Time=3.62 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-194.644, Time=1.00 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-50.500, Time=0.34 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-193.757, Time=2.52 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-193.825, Time=2.53 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=218.008, Time=0.09 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=45.338, Time=0.63 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-137.580, Time=1.03 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-191.124, Time=2.71 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-192.811, Time=1.26 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-190.000, Time=1.88 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-196.592, Time=0.46 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=116.874, Time=0.18 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-52.459, Time=0.18 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-195.700, Time=1.11 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-195.834, Time=0.98 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=216.342, Time=0.07 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=43.556, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-139.523, Time=0.37 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-193.070, Time=1.38 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-177.180, Time=0.40 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-195.398, Time=0.82 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-194.846, Time=0.57 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-194.706, Time=0.40 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-195.239, Time=0.87 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 50.099 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=107.348, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=300.349, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-49.721, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=118.798, Time=0.23 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=298.902, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=185.620, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.92 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-192.197, Time=0.90 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=108.979, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-191.058, Time=3.21 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-191.151, Time=2.80 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=43.142, Time=0.81 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-188.698, Time=2.68 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-175.352, Time=1.06 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-191.855, Time=1.42 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-192.940, Time=1.28 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-47.949, Time=0.73 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-192.261, Time=2.97 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-192.117, Time=2.75 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=187.288, Time=0.16 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=42.483, Time=1.44 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-139.735, Time=2.99 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-189.546, Time=4.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-194.031, Time=1.26 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-49.803, Time=0.47 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-193.145, Time=3.01 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-193.311, Time=3.55 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=218.018, Time=0.14 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=44.973, Time=0.82 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-137.320, Time=1.27 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-190.619, Time=3.46 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-192.300, Time=1.82 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-189.331, Time=2.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-195.975, Time=0.57 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=117.064, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-51.754, Time=0.22 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-195.119, Time=1.18 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-195.250, Time=1.35 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=216.349, Time=0.08 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=43.169, Time=0.62 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-139.261, Time=0.54 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-193.703, Time=3.49 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-177.309, Time=0.50 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-194.833, Time=0.92 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-194.240, Time=0.89 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-194.148, Time=0.62 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-194.655, Time=1.96 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 63.850 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=108.869, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=297.082, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-47.059, Time=0.55 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=120.081, Time=0.33 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=295.716, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=185.392, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.74 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-192.642, Time=2.36 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=110.522, Time=0.56 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-191.522, Time=4.22 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-191.585, Time=3.27 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=43.868, Time=0.93 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-189.273, Time=2.82 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-174.471, Time=0.85 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-192.643, Time=1.37 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=103.226, Time=0.42 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-45.338, Time=0.73 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-191.933, Time=3.13 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-177.600, Time=2.72 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=186.595, Time=0.17 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=38.637, Time=1.27 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.85 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-189.523, Time=3.40 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-190.719, Time=1.70 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-190.455, Time=1.62 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-189.706, Time=1.36 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12] intercept   : AIC=-189.408, Time=1.89 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-194.586, Time=0.78 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12]             : AIC=101.332, Time=0.27 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12]             : AIC=-47.304, Time=0.30 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12]             : AIC=-193.934, Time=1.64 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12]             : AIC=-194.028, Time=1.41 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12]             : AIC=184.718, Time=0.08 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12]             : AIC=36.749, Time=0.77 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12]             : AIC=inf, Time=0.71 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12]             : AIC=-191.867, Time=3.05 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-194.591, Time=0.57 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12]             : AIC=108.694, Time=0.19 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12]             : AIC=-49.026, Time=0.24 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12]             : AIC=-193.466, Time=1.21 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-193.530, Time=1.35 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12]             : AIC=183.533, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12]             : AIC=42.041, Time=0.50 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12]             : AIC=inf, Time=0.57 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12]             : AIC=-191.318, Time=2.64 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.430, Time=0.44 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-195.817, Time=0.91 sec\n",
      " ARIMA(1,1,1)(0,0,1)[12]             : AIC=107.004, Time=0.32 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12]             : AIC=-47.399, Time=0.37 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12]             : AIC=-196.166, Time=2.11 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12]             : AIC=-141.070, Time=1.01 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12]             : AIC=-193.271, Time=3.57 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-196.311, Time=2.13 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12]             : AIC=41.519, Time=1.12 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-196.115, Time=1.31 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-197.371, Time=3.01 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=38.529, Time=1.17 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-198.066, Time=1.93 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=101.117, Time=0.41 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-62.438, Time=0.78 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-197.298, Time=2.88 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=183.910, Time=0.22 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-144.353, Time=1.63 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-194.935, Time=3.76 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-196.066, Time=1.58 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-194.692, Time=1.50 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-195.680, Time=1.43 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-192.665, Time=0.88 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=3.35 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 94.222 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=105.300, Time=0.54 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=292.553, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-50.466, Time=0.49 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=116.231, Time=0.34 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=291.355, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=181.007, Time=0.11 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.43 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-194.550, Time=1.17 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=106.870, Time=0.28 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-193.178, Time=2.48 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-193.214, Time=2.48 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=39.545, Time=0.79 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-191.153, Time=3.39 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-174.899, Time=0.81 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-194.881, Time=2.22 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=99.791, Time=0.43 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-48.858, Time=0.62 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-193.957, Time=3.18 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-193.785, Time=3.06 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=182.262, Time=0.14 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=34.563, Time=1.02 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.84 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-191.767, Time=4.44 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-192.776, Time=1.64 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-193.351, Time=1.57 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-196.219, Time=1.62 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-48.997, Time=0.84 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-193.155, Time=2.95 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-194.277, Time=3.36 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=182.644, Time=0.21 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=39.161, Time=1.64 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-143.094, Time=2.88 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-193.262, Time=3.67 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-197.163, Time=1.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-50.933, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-196.068, Time=2.79 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-196.181, Time=2.99 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=212.276, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=41.017, Time=0.87 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-140.020, Time=1.43 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-193.900, Time=2.86 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-195.600, Time=1.42 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-186.403, Time=1.58 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-199.077, Time=0.61 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=114.602, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-52.854, Time=0.22 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-198.033, Time=1.30 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-198.087, Time=1.32 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=210.791, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=39.334, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-141.906, Time=0.52 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-195.920, Time=2.58 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-176.832, Time=0.38 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-198.087, Time=0.97 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-197.506, Time=0.73 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-196.475, Time=0.84 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-200.075, Time=1.45 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=98.886, Time=0.61 sec\n",
      " ARIMA(1,1,2)(1,0,0)[12]             : AIC=-64.958, Time=0.75 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-197.141, Time=2.54 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-199.190, Time=2.71 sec\n",
      " ARIMA(1,1,2)(0,0,0)[12]             : AIC=198.940, Time=0.27 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=22.085, Time=1.21 sec\n",
      " ARIMA(1,1,2)(2,0,0)[12]             : AIC=-148.070, Time=1.62 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-196.923, Time=4.37 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-198.104, Time=1.60 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=-198.587, Time=1.61 sec\n",
      " ARIMA(0,1,3)(1,0,1)[12]             : AIC=-196.081, Time=0.98 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-200.361, Time=1.24 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=97.782, Time=0.32 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-66.288, Time=0.75 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-199.291, Time=2.78 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-199.351, Time=2.50 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=179.771, Time=0.21 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=34.583, Time=1.15 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-147.479, Time=1.60 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-197.136, Time=3.30 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-196.798, Time=0.69 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-198.365, Time=1.53 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-194.906, Time=1.03 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=3.08 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 117.739 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=104.980, Time=0.60 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=292.247, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-51.741, Time=0.97 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=115.941, Time=0.32 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=291.095, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=180.924, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.35 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-195.738, Time=1.00 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=106.622, Time=0.50 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-194.196, Time=2.50 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-194.361, Time=3.03 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=39.223, Time=0.79 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-192.270, Time=2.67 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-175.577, Time=0.98 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-196.342, Time=1.45 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=99.387, Time=0.40 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-50.114, Time=0.64 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-195.401, Time=3.16 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-195.459, Time=2.93 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=182.175, Time=0.14 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=34.177, Time=1.14 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.06 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-193.155, Time=4.15 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-194.079, Time=2.40 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-194.838, Time=1.52 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-197.479, Time=1.42 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-50.237, Time=0.83 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-195.042, Time=2.90 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-189.459, Time=3.03 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=182.558, Time=0.19 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=38.820, Time=1.50 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-143.998, Time=2.92 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-194.561, Time=3.64 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-198.600, Time=1.16 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.132, Time=0.55 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-197.523, Time=2.73 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-197.593, Time=3.62 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=212.172, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=40.669, Time=0.86 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-141.395, Time=1.34 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-195.261, Time=2.99 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-195.941, Time=1.52 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-187.646, Time=1.85 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-200.496, Time=0.52 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=114.330, Time=0.17 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-54.034, Time=0.26 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-199.420, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-199.480, Time=1.18 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=210.703, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=39.015, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-143.248, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-197.264, Time=2.85 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-177.500, Time=0.45 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-199.316, Time=0.95 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-198.947, Time=0.86 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-197.648, Time=0.68 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-201.045, Time=1.52 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=99.007, Time=0.62 sec\n",
      " ARIMA(1,1,2)(1,0,0)[12]             : AIC=-66.040, Time=0.61 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-197.678, Time=2.48 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-198.707, Time=3.15 sec\n",
      " ARIMA(1,1,2)(0,0,0)[12]             : AIC=198.960, Time=0.46 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=22.010, Time=1.74 sec\n",
      " ARIMA(1,1,2)(2,0,0)[12]             : AIC=-149.213, Time=1.97 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-198.130, Time=4.33 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-198.004, Time=1.45 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=3.37 sec\n",
      " ARIMA(0,1,3)(1,0,1)[12]             : AIC=-197.412, Time=0.91 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-201.610, Time=1.21 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=97.440, Time=0.42 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-67.483, Time=0.85 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-200.519, Time=3.15 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-200.562, Time=2.62 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=179.717, Time=0.18 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=34.236, Time=1.08 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-148.623, Time=1.49 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-198.274, Time=3.33 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-198.244, Time=0.60 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-199.631, Time=1.74 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-196.362, Time=1.00 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=2.91 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 121.342 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=104.605, Time=0.64 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=291.933, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-52.307, Time=0.65 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=115.762, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=290.860, Time=0.16 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=180.424, Time=0.14 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.16 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-197.501, Time=0.99 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=106.355, Time=0.34 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-196.241, Time=2.90 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-196.274, Time=2.76 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=38.821, Time=0.83 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-194.086, Time=3.12 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.938, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-198.031, Time=1.30 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=98.856, Time=0.59 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-50.644, Time=0.62 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-197.321, Time=3.56 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-197.082, Time=3.16 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=181.614, Time=0.15 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=33.711, Time=1.08 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.03 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-194.944, Time=4.67 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-196.098, Time=1.82 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-196.361, Time=1.90 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-198.681, Time=1.60 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-50.761, Time=0.82 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-196.425, Time=4.85 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-195.370, Time=3.12 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=182.025, Time=0.22 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=38.356, Time=1.56 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-145.930, Time=3.00 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-195.892, Time=3.85 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-200.242, Time=1.93 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.643, Time=0.61 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-199.384, Time=3.10 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-199.469, Time=2.94 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=211.778, Time=0.13 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=40.315, Time=0.95 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-143.119, Time=1.60 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-196.989, Time=2.61 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-198.586, Time=1.48 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-191.366, Time=1.70 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-202.116, Time=0.64 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=114.238, Time=0.15 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-54.497, Time=0.24 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-201.247, Time=1.31 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-201.329, Time=1.37 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=210.385, Time=0.05 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=38.741, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-144.922, Time=0.54 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-199.517, Time=2.77 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.841, Time=0.44 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-200.640, Time=1.04 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-200.451, Time=0.82 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-199.388, Time=0.57 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-200.643, Time=1.45 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 84.862 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=104.499, Time=0.46 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=291.936, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-52.136, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=115.760, Time=0.31 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=290.839, Time=0.08 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=180.374, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.41 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-197.638, Time=1.11 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=106.323, Time=0.42 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-196.416, Time=3.75 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-196.463, Time=2.79 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=38.759, Time=0.90 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-194.251, Time=2.18 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-177.108, Time=0.76 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-198.041, Time=1.48 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=98.613, Time=0.45 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-50.481, Time=0.70 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-197.344, Time=3.64 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-197.232, Time=3.26 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=181.445, Time=0.21 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=33.739, Time=1.14 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.25 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-194.970, Time=3.86 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-195.437, Time=1.94 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-195.787, Time=1.58 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-198.647, Time=1.61 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-50.601, Time=0.80 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-197.164, Time=3.78 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-197.383, Time=3.19 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=181.921, Time=0.20 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=38.350, Time=1.65 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-145.925, Time=3.44 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-195.871, Time=3.82 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-200.248, Time=1.37 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.493, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-199.418, Time=2.65 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-199.503, Time=2.54 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=211.842, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=40.224, Time=0.84 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-143.065, Time=1.59 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-197.035, Time=4.04 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-198.557, Time=1.29 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-188.877, Time=1.55 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-202.116, Time=0.57 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=114.237, Time=0.23 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-54.340, Time=0.20 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-201.273, Time=1.51 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-201.359, Time=1.32 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=210.423, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=38.618, Time=0.48 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-144.864, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-199.049, Time=2.56 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-179.005, Time=0.41 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-200.588, Time=1.21 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-200.418, Time=0.80 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-199.519, Time=0.62 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-200.417, Time=1.24 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 81.914 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=104.379, Time=0.49 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=291.289, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-52.269, Time=0.50 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=115.152, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=290.148, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=180.284, Time=0.21 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.15 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-197.568, Time=1.33 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=106.158, Time=0.35 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-196.235, Time=2.65 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-196.284, Time=3.05 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=38.782, Time=0.85 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-194.055, Time=3.29 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-176.825, Time=0.72 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-197.961, Time=1.41 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=98.552, Time=0.44 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-50.632, Time=0.57 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-196.912, Time=3.36 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-197.157, Time=2.82 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=181.277, Time=0.18 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=33.696, Time=1.08 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.62 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-194.760, Time=3.24 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-194.931, Time=1.51 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-196.228, Time=1.52 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-198.233, Time=1.35 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-50.731, Time=0.77 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-196.483, Time=4.34 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-195.789, Time=3.22 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=181.794, Time=0.48 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=38.349, Time=2.07 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-145.718, Time=3.03 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-195.423, Time=3.55 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-200.174, Time=1.10 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.604, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-199.216, Time=2.61 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-199.297, Time=2.56 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=212.131, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=40.259, Time=0.86 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-142.896, Time=1.21 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-196.805, Time=2.48 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-198.433, Time=1.66 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-191.190, Time=2.57 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-202.040, Time=0.68 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=113.580, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-54.470, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-201.069, Time=1.50 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-201.148, Time=1.32 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=210.743, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=38.666, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-144.683, Time=0.57 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-198.940, Time=2.75 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-178.716, Time=0.43 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-200.409, Time=0.99 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-200.292, Time=0.70 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-199.447, Time=0.66 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-202.032, Time=1.60 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 79.495 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=103.096, Time=0.57 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=283.582, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-52.114, Time=0.59 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=114.334, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=282.293, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=176.659, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.51 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-202.728, Time=1.16 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=105.129, Time=0.46 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-201.620, Time=2.65 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-202.345, Time=2.68 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=35.220, Time=0.84 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-200.111, Time=2.64 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-181.345, Time=1.22 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-202.266, Time=1.38 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-202.022, Time=1.46 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-204.635, Time=0.99 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.018, Time=0.38 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-204.752, Time=3.04 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-147.564, Time=3.00 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-202.276, Time=2.32 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-204.690, Time=2.50 sec\n",
      " ARIMA(0,1,0)(2,0,1)[12] intercept   : AIC=-181.997, Time=1.57 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-203.232, Time=4.26 sec\n",
      " ARIMA(0,1,2)(2,0,1)[12] intercept   : AIC=-202.847, Time=2.97 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12] intercept   : AIC=-192.763, Time=3.45 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-206.625, Time=1.05 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-206.518, Time=0.56 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-149.394, Time=0.58 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-204.415, Time=2.48 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-53.869, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-206.741, Time=1.02 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=35.222, Time=0.47 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=112.753, Time=0.17 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12]             : AIC=-183.866, Time=0.91 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-205.408, Time=1.99 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12]             : AIC=-205.118, Time=1.59 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-204.229, Time=1.28 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-207.007, Time=3.26 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=18.294, Time=1.85 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-206.759, Time=1.89 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-204.501, Time=3.12 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=96.727, Time=0.64 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-206.925, Time=2.61 sec\n",
      " ARIMA(2,1,2)(1,0,2)[12]             : AIC=-203.617, Time=2.88 sec\n",
      " ARIMA(1,1,3)(1,0,2)[12]             : AIC=-203.725, Time=2.95 sec\n",
      " ARIMA(0,1,3)(1,0,2)[12]             : AIC=-203.682, Time=2.19 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-207.292, Time=2.63 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=28.743, Time=1.05 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-207.314, Time=1.17 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=94.076, Time=0.33 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-67.571, Time=0.86 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-207.216, Time=3.35 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=174.253, Time=0.19 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-155.078, Time=1.74 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-204.891, Time=3.64 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-204.635, Time=0.79 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-204.155, Time=0.64 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-205.322, Time=1.63 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-204.491, Time=1.72 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-204.625, Time=0.64 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-202.293, Time=0.97 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=3.53 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-199.957, Time=1.56 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 102.375 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=98.070, Time=0.60 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=278.806, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-52.237, Time=0.74 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=109.010, Time=0.32 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=277.306, Time=0.11 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=171.869, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.52 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-201.608, Time=1.65 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=99.658, Time=0.33 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-201.317, Time=2.64 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-201.427, Time=2.88 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=33.509, Time=0.93 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-198.960, Time=3.04 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-180.500, Time=1.88 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-198.668, Time=2.52 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-201.595, Time=2.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-203.675, Time=1.69 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-52.037, Time=0.64 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-203.528, Time=3.41 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-204.135, Time=3.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=35.264, Time=1.21 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-201.693, Time=3.97 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12] intercept   : AIC=-181.397, Time=2.48 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-202.189, Time=5.12 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12] intercept   : AIC=-202.495, Time=4.09 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12] intercept   : AIC=-172.008, Time=4.13 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-206.024, Time=2.42 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=33.486, Time=0.75 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-205.567, Time=0.62 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-204.060, Time=3.79 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=107.246, Time=0.23 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-205.865, Time=1.77 sec\n",
      " ARIMA(0,1,0)(1,0,2)[12]             : AIC=-183.310, Time=1.66 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12]             : AIC=-204.889, Time=2.21 sec\n",
      " ARIMA(0,1,2)(1,0,2)[12]             : AIC=-204.491, Time=1.78 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12]             : AIC=-203.321, Time=2.16 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-205.701, Time=2.80 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,2)[12]          \n",
      "Total fit time: 71.823 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=94.796, Time=0.64 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=280.031, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-64.760, Time=0.55 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=105.086, Time=0.40 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=278.604, Time=0.11 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=174.184, Time=0.17 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.49 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-205.222, Time=1.63 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=96.037, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-204.309, Time=2.92 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-204.390, Time=2.77 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=28.917, Time=0.88 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-202.134, Time=2.55 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-186.936, Time=1.13 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-203.144, Time=2.06 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-207.122, Time=1.92 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-76.617, Time=1.22 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-205.617, Time=3.39 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-206.593, Time=3.81 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=175.640, Time=0.68 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=28.687, Time=1.90 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-158.959, Time=2.87 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-204.786, Time=4.86 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-207.810, Time=1.55 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-65.549, Time=0.70 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-206.597, Time=3.85 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-207.429, Time=3.84 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=203.890, Time=0.15 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=30.648, Time=1.04 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-154.444, Time=1.45 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-204.875, Time=2.94 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-206.369, Time=1.87 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-201.944, Time=1.80 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-209.685, Time=0.56 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=103.496, Time=0.19 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-67.279, Time=0.20 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-209.169, Time=1.34 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-209.291, Time=1.73 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=202.315, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=29.033, Time=0.51 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-156.210, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-207.487, Time=2.69 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-188.838, Time=0.43 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-209.419, Time=0.81 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-208.284, Time=0.72 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-207.113, Time=0.58 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-210.357, Time=1.47 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=87.118, Time=0.82 sec\n",
      " ARIMA(1,1,2)(1,0,0)[12]             : AIC=-78.600, Time=0.98 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-210.343, Time=2.71 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-209.523, Time=2.97 sec\n",
      " ARIMA(1,1,2)(0,0,0)[12]             : AIC=188.746, Time=0.38 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=11.752, Time=1.83 sec\n",
      " ARIMA(1,1,2)(2,0,0)[12]             : AIC=-162.000, Time=2.34 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-207.913, Time=4.82 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-208.994, Time=2.14 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=-209.199, Time=2.93 sec\n",
      " ARIMA(0,1,3)(1,0,1)[12]             : AIC=-207.115, Time=1.58 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-211.026, Time=1.45 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=88.208, Time=0.38 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-79.591, Time=0.73 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-210.473, Time=2.50 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-210.567, Time=2.85 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=172.500, Time=0.20 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=24.606, Time=0.96 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-161.753, Time=1.50 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-208.073, Time=3.16 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-207.339, Time=0.67 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-209.027, Time=1.54 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-205.639, Time=0.84 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=-211.027, Time=1.75 sec\n",
      " ARIMA(3,1,2)(0,0,1)[12]             : AIC=-152.781, Time=1.42 sec\n",
      " ARIMA(3,1,2)(1,0,0)[12]             : AIC=inf, Time=1.43 sec\n",
      " ARIMA(3,1,2)(2,0,1)[12]             : AIC=-210.629, Time=3.26 sec\n",
      " ARIMA(3,1,2)(1,0,2)[12]             : AIC=-210.769, Time=3.20 sec\n",
      " ARIMA(3,1,2)(0,0,0)[12]             : AIC=-122.138, Time=0.74 sec\n",
      " ARIMA(3,1,2)(0,0,2)[12]             : AIC=inf, Time=3.02 sec\n",
      " ARIMA(3,1,2)(2,0,0)[12]             : AIC=-164.294, Time=2.29 sec\n",
      " ARIMA(3,1,2)(2,0,2)[12]             : AIC=-208.400, Time=4.27 sec\n",
      " ARIMA(4,1,2)(1,0,1)[12]             : AIC=-207.951, Time=2.58 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=inf, Time=2.83 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=1.73 sec\n",
      " ARIMA(4,1,1)(1,0,1)[12]             : AIC=-208.075, Time=1.92 sec\n",
      " ARIMA(4,1,3)(1,0,1)[12]             : AIC=-225.728, Time=2.46 sec\n",
      " ARIMA(4,1,3)(0,0,1)[12]             : AIC=-148.304, Time=1.81 sec\n",
      " ARIMA(4,1,3)(1,0,0)[12]             : AIC=-167.103, Time=2.20 sec\n",
      " ARIMA(4,1,3)(2,0,1)[12]             : AIC=-224.083, Time=6.35 sec\n",
      " ARIMA(4,1,3)(1,0,2)[12]             : AIC=-224.217, Time=4.56 sec\n",
      " ARIMA(4,1,3)(0,0,0)[12]             : AIC=-120.773, Time=1.14 sec\n",
      " ARIMA(4,1,3)(0,0,2)[12]             : AIC=-167.681, Time=3.41 sec\n",
      " ARIMA(4,1,3)(2,0,0)[12]             : AIC=-164.879, Time=3.30 sec\n",
      " ARIMA(4,1,3)(2,0,2)[12]             : AIC=-223.576, Time=5.34 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12]             : AIC=-226.963, Time=2.85 sec\n",
      " ARIMA(5,1,3)(0,0,1)[12]             : AIC=-148.684, Time=1.96 sec\n",
      " ARIMA(5,1,3)(1,0,0)[12]             : AIC=-166.199, Time=2.06 sec\n",
      " ARIMA(5,1,3)(2,0,1)[12]             : AIC=-223.421, Time=5.79 sec\n",
      " ARIMA(5,1,3)(1,0,2)[12]             : AIC=-225.779, Time=5.24 sec\n",
      " ARIMA(5,1,3)(0,0,0)[12]             : AIC=-130.740, Time=1.00 sec\n",
      " ARIMA(5,1,3)(0,0,2)[12]             : AIC=-170.517, Time=3.73 sec\n",
      " ARIMA(5,1,3)(2,0,0)[12]             : AIC=-159.656, Time=3.04 sec\n",
      "\n",
      "Best model:  ARIMA(5,1,3)(1,0,1)[12]          \n",
      "Total fit time: 196.377 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=86.579, Time=0.53 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=279.134, Time=0.14 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-75.619, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=98.114, Time=0.32 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=277.616, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=170.207, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.29 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-211.237, Time=0.97 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=88.276, Time=0.38 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-209.632, Time=2.58 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-209.646, Time=2.58 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=21.696, Time=0.98 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-207.465, Time=4.28 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-195.322, Time=0.74 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-210.913, Time=1.77 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-212.659, Time=1.78 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-74.183, Time=0.87 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-211.702, Time=2.90 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-211.982, Time=2.81 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=171.523, Time=0.16 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=21.004, Time=1.28 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-164.411, Time=2.49 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-208.439, Time=3.48 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-213.069, Time=1.11 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-76.179, Time=0.56 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-211.685, Time=2.58 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-211.740, Time=2.67 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=201.613, Time=0.14 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=23.799, Time=0.94 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-159.203, Time=1.32 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-209.364, Time=2.73 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-211.138, Time=1.42 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-209.139, Time=2.34 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-214.990, Time=0.73 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=96.363, Time=0.26 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-78.050, Time=0.25 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-213.603, Time=1.88 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-213.656, Time=1.29 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=199.885, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=22.014, Time=0.60 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-161.082, Time=0.44 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-211.871, Time=2.58 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-197.269, Time=0.41 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-214.653, Time=1.19 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-213.333, Time=0.74 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-213.170, Time=0.48 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-216.553, Time=1.40 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=80.224, Time=0.53 sec\n",
      " ARIMA(1,1,2)(1,0,0)[12]             : AIC=-90.840, Time=0.73 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-215.160, Time=2.66 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-214.181, Time=3.46 sec\n",
      " ARIMA(1,1,2)(0,0,0)[12]             : AIC=186.422, Time=0.37 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=4.878, Time=3.01 sec\n",
      " ARIMA(1,1,2)(2,0,0)[12]             : AIC=-168.159, Time=2.84 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-212.858, Time=5.13 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-213.206, Time=1.73 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=4.78 sec\n",
      " ARIMA(0,1,3)(1,0,1)[12]             : AIC=-211.830, Time=1.55 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-216.842, Time=1.48 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=79.988, Time=0.46 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-91.737, Time=0.93 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-215.367, Time=2.99 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-215.404, Time=2.89 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=168.071, Time=0.22 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=16.768, Time=1.18 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-167.967, Time=1.76 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-213.113, Time=4.11 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-212.839, Time=0.91 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-214.431, Time=1.56 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-210.913, Time=0.93 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=-217.237, Time=1.82 sec\n",
      " ARIMA(3,1,2)(0,0,1)[12]             : AIC=-155.818, Time=1.55 sec\n",
      " ARIMA(3,1,2)(1,0,0)[12]             : AIC=-102.252, Time=1.21 sec\n",
      " ARIMA(3,1,2)(2,0,1)[12]             : AIC=-215.716, Time=3.91 sec\n",
      " ARIMA(3,1,2)(1,0,2)[12]             : AIC=-215.483, Time=3.75 sec\n",
      " ARIMA(3,1,2)(0,0,0)[12]             : AIC=-123.938, Time=0.80 sec\n",
      " ARIMA(3,1,2)(0,0,2)[12]             : AIC=inf, Time=4.03 sec\n",
      " ARIMA(3,1,2)(2,0,0)[12]             : AIC=-174.499, Time=2.40 sec\n",
      " ARIMA(3,1,2)(2,0,2)[12]             : AIC=-213.496, Time=4.63 sec\n",
      " ARIMA(4,1,2)(1,0,1)[12]             : AIC=-212.555, Time=3.28 sec\n",
      " ARIMA(3,1,3)(1,0,1)[12]             : AIC=inf, Time=2.99 sec\n",
      " ARIMA(2,1,3)(1,0,1)[12]             : AIC=inf, Time=2.05 sec\n",
      " ARIMA(4,1,1)(1,0,1)[12]             : AIC=-214.348, Time=1.95 sec\n",
      " ARIMA(4,1,3)(1,0,1)[12]             : AIC=-231.493, Time=3.01 sec\n",
      " ARIMA(4,1,3)(0,0,1)[12]             : AIC=-151.187, Time=2.39 sec\n",
      " ARIMA(4,1,3)(1,0,0)[12]             : AIC=-171.541, Time=2.87 sec\n",
      " ARIMA(4,1,3)(2,0,1)[12]             : AIC=-229.491, Time=6.24 sec\n",
      " ARIMA(4,1,3)(1,0,2)[12]             : AIC=-228.146, Time=5.31 sec\n",
      " ARIMA(4,1,3)(0,0,0)[12]             : AIC=-121.426, Time=1.32 sec\n",
      " ARIMA(4,1,3)(0,0,2)[12]             : AIC=-171.017, Time=4.20 sec\n",
      " ARIMA(4,1,3)(2,0,0)[12]             : AIC=inf, Time=6.69 sec\n",
      " ARIMA(4,1,3)(2,0,2)[12]             : AIC=-226.894, Time=6.84 sec\n",
      " ARIMA(5,1,3)(1,0,1)[12]             : AIC=-217.629, Time=4.64 sec\n",
      " ARIMA(4,1,4)(1,0,1)[12]             : AIC=inf, Time=5.47 sec\n",
      " ARIMA(3,1,4)(1,0,1)[12]             : AIC=-239.356, Time=4.05 sec\n",
      " ARIMA(3,1,4)(0,0,1)[12]             : AIC=-157.015, Time=1.74 sec\n",
      " ARIMA(3,1,4)(1,0,0)[12]             : AIC=inf, Time=1.69 sec\n",
      " ARIMA(3,1,4)(2,0,1)[12]             : AIC=inf, Time=4.61 sec\n",
      " ARIMA(3,1,4)(1,0,2)[12]             : AIC=inf, Time=6.55 sec\n",
      " ARIMA(3,1,4)(0,0,0)[12]             : AIC=-127.030, Time=1.05 sec\n",
      "\n",
      "Best model:  ARIMA(3,1,4)(1,0,1)[12]          \n",
      "Total fit time: 210.411 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=83.391, Time=0.55 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=275.271, Time=0.13 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-78.996, Time=0.52 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=93.811, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=273.887, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=167.998, Time=0.12 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.28 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-215.465, Time=1.10 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=84.613, Time=0.49 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-213.703, Time=2.66 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-213.203, Time=2.43 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=17.115, Time=0.77 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-211.708, Time=3.72 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-198.389, Time=0.75 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-215.185, Time=1.50 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-217.558, Time=1.39 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-91.698, Time=1.15 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-214.688, Time=3.04 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-214.974, Time=2.99 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=169.447, Time=0.31 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=16.932, Time=1.90 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-166.820, Time=2.53 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-213.972, Time=3.33 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-218.007, Time=2.77 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-80.089, Time=0.50 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-216.553, Time=4.15 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-216.606, Time=3.90 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=198.219, Time=0.15 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=18.879, Time=1.16 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-162.722, Time=1.38 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-214.318, Time=4.14 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-216.702, Time=1.87 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-211.358, Time=2.56 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-219.887, Time=0.60 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=92.180, Time=0.24 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-81.860, Time=0.23 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-218.426, Time=1.31 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-218.477, Time=1.43 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=196.606, Time=0.14 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=17.200, Time=0.63 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-164.510, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-216.196, Time=1.90 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-200.299, Time=0.64 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-219.569, Time=1.50 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-218.567, Time=0.74 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-217.361, Time=0.69 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-219.712, Time=2.09 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 68.334 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=85.042, Time=0.66 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=274.190, Time=0.21 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-78.418, Time=0.54 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=95.351, Time=0.36 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=272.844, Time=0.03 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=168.722, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.62 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-216.483, Time=1.33 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=86.218, Time=0.31 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-214.898, Time=2.62 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-214.933, Time=3.31 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=17.843, Time=0.98 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-212.754, Time=3.09 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-198.519, Time=1.42 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-216.936, Time=1.45 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=80.620, Time=0.77 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-77.343, Time=0.96 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-215.454, Time=4.42 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-215.510, Time=3.81 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=169.597, Time=0.22 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=14.176, Time=1.34 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.49 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-213.371, Time=5.39 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-215.053, Time=2.21 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-215.362, Time=2.04 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-217.805, Time=1.83 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-77.550, Time=0.65 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-215.350, Time=3.54 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-216.596, Time=3.73 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=170.171, Time=0.25 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=17.673, Time=1.51 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-167.149, Time=3.49 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-214.787, Time=3.68 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-219.085, Time=1.52 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-79.568, Time=0.42 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-217.749, Time=3.21 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-217.810, Time=4.13 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=198.592, Time=0.20 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=19.562, Time=1.46 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-163.973, Time=1.45 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-215.428, Time=3.43 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-217.677, Time=2.17 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-209.825, Time=2.47 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-220.954, Time=0.81 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=93.673, Time=0.22 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-81.349, Time=0.21 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-219.608, Time=2.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-219.666, Time=1.35 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=196.969, Time=0.10 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=17.859, Time=0.59 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-165.727, Time=0.46 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-217.940, Time=3.38 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-200.428, Time=0.48 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-220.114, Time=1.01 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-219.532, Time=1.31 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-218.369, Time=1.38 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-218.447, Time=1.73 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 96.078 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=79.874, Time=0.64 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=270.558, Time=0.11 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-86.550, Time=0.58 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=89.998, Time=0.41 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=269.315, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=166.180, Time=0.13 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.85 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-218.435, Time=1.75 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=81.203, Time=0.37 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-213.626, Time=3.06 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-216.497, Time=2.77 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=10.898, Time=0.98 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-214.565, Time=2.98 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-200.760, Time=0.97 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-218.981, Time=1.52 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=75.084, Time=0.50 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-85.345, Time=0.73 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-214.245, Time=3.32 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-217.236, Time=3.63 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=166.920, Time=0.19 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=6.895, Time=1.35 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.06 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-215.177, Time=4.22 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-216.918, Time=2.54 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-217.390, Time=3.16 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-218.393, Time=1.49 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12] intercept   : AIC=-215.097, Time=1.67 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-220.848, Time=0.57 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12]             : AIC=73.322, Time=0.23 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12]             : AIC=-87.013, Time=0.37 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12]             : AIC=-219.085, Time=1.96 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12]             : AIC=-219.097, Time=1.47 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12]             : AIC=165.102, Time=0.07 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12]             : AIC=5.206, Time=0.69 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12]             : AIC=inf, Time=0.57 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12]             : AIC=-217.110, Time=1.77 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-220.311, Time=0.53 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-218.943, Time=0.84 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-222.568, Time=1.29 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=73.525, Time=0.53 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-98.601, Time=0.79 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-220.739, Time=3.83 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-220.740, Time=2.51 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=164.182, Time=0.20 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=7.041, Time=0.88 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-172.575, Time=1.75 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-218.725, Time=3.00 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-221.883, Time=0.84 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-220.625, Time=1.29 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-220.553, Time=1.42 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-222.484, Time=1.65 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=2.27 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 74.424 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=78.332, Time=0.57 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=268.871, Time=0.10 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-85.972, Time=0.42 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=88.348, Time=0.35 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=267.781, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=164.544, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.30 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-215.221, Time=1.16 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=79.600, Time=0.33 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-213.094, Time=2.57 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-213.290, Time=2.42 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=10.247, Time=0.92 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-211.359, Time=3.05 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-196.750, Time=0.70 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-216.057, Time=1.34 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=73.694, Time=0.40 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-84.829, Time=1.00 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-200.466, Time=3.02 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-213.530, Time=2.76 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=165.328, Time=0.18 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=6.395, Time=1.12 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.90 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-212.366, Time=3.37 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-214.109, Time=1.89 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-214.453, Time=1.52 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-216.717, Time=1.31 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-85.129, Time=0.84 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-213.246, Time=2.79 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-214.127, Time=2.92 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=165.951, Time=0.20 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=10.087, Time=1.99 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-169.166, Time=2.62 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-213.507, Time=2.86 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-218.083, Time=1.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-87.061, Time=0.36 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-216.289, Time=2.14 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-216.301, Time=2.23 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=193.935, Time=0.26 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=11.804, Time=0.96 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-166.907, Time=1.05 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-214.306, Time=2.98 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-216.731, Time=1.37 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-208.307, Time=1.71 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-219.915, Time=0.45 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=86.936, Time=0.21 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-88.670, Time=0.20 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-218.116, Time=1.25 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-218.127, Time=1.28 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=192.538, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=10.334, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-168.599, Time=0.39 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-216.136, Time=1.14 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-198.617, Time=0.56 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-218.938, Time=0.89 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-218.546, Time=0.70 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-217.072, Time=0.44 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-219.783, Time=1.38 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 71.794 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=78.324, Time=0.52 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=268.914, Time=0.08 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-86.098, Time=0.53 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=88.315, Time=0.34 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=267.797, Time=0.04 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=164.722, Time=0.10 sec\n",
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.37 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-215.320, Time=1.07 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=79.608, Time=0.30 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-213.387, Time=2.78 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-213.390, Time=2.40 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=10.571, Time=0.82 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-211.481, Time=2.67 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-196.831, Time=0.82 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-216.131, Time=1.42 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=73.666, Time=0.40 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-84.957, Time=0.71 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-213.831, Time=3.18 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-214.413, Time=2.73 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=165.453, Time=0.14 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=6.664, Time=0.95 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.75 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-212.435, Time=3.36 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-213.834, Time=2.37 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-214.502, Time=1.88 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-217.382, Time=1.51 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-85.260, Time=0.88 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-214.175, Time=3.18 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-214.908, Time=2.62 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=166.102, Time=0.18 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=10.391, Time=1.57 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-169.363, Time=2.85 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-213.747, Time=4.21 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-218.163, Time=1.37 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-87.186, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-215.289, Time=2.83 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-216.381, Time=2.92 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=194.137, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=12.127, Time=1.13 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-166.804, Time=1.63 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-214.388, Time=3.28 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-216.833, Time=1.99 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-209.316, Time=1.75 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-219.997, Time=0.52 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=86.867, Time=0.21 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-88.821, Time=0.35 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-218.198, Time=1.88 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-218.210, Time=1.29 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=192.702, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=10.599, Time=0.61 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-168.512, Time=0.45 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-216.221, Time=1.32 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-198.707, Time=0.43 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-219.161, Time=0.85 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-218.651, Time=0.66 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-217.173, Time=0.45 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-220.237, Time=1.27 sec\n",
      " ARIMA(1,1,2)(0,0,1)[12]             : AIC=72.966, Time=0.49 sec\n",
      " ARIMA(1,1,2)(1,0,0)[12]             : AIC=-98.582, Time=0.75 sec\n",
      " ARIMA(1,1,2)(2,0,1)[12]             : AIC=-218.468, Time=3.02 sec\n",
      " ARIMA(1,1,2)(1,0,2)[12]             : AIC=-218.443, Time=3.38 sec\n",
      " ARIMA(1,1,2)(0,0,0)[12]             : AIC=181.359, Time=0.28 sec\n",
      " ARIMA(1,1,2)(0,0,2)[12]             : AIC=-4.088, Time=2.18 sec\n",
      " ARIMA(1,1,2)(2,0,0)[12]             : AIC=-173.142, Time=1.91 sec\n",
      " ARIMA(1,1,2)(2,0,2)[12]             : AIC=-216.474, Time=4.30 sec\n",
      " ARIMA(2,1,2)(1,0,1)[12]             : AIC=-217.047, Time=1.45 sec\n",
      " ARIMA(1,1,3)(1,0,1)[12]             : AIC=inf, Time=2.25 sec\n",
      " ARIMA(0,1,3)(1,0,1)[12]             : AIC=-216.969, Time=0.85 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12]             : AIC=-220.376, Time=1.14 sec\n",
      " ARIMA(2,1,1)(0,0,1)[12]             : AIC=72.302, Time=0.38 sec\n",
      " ARIMA(2,1,1)(1,0,0)[12]             : AIC=-99.367, Time=0.65 sec\n",
      " ARIMA(2,1,1)(2,0,1)[12]             : AIC=-218.558, Time=2.37 sec\n",
      " ARIMA(2,1,1)(1,0,2)[12]             : AIC=-218.566, Time=2.31 sec\n",
      " ARIMA(2,1,1)(0,0,0)[12]             : AIC=162.930, Time=0.17 sec\n",
      " ARIMA(2,1,1)(0,0,2)[12]             : AIC=6.853, Time=1.10 sec\n",
      " ARIMA(2,1,1)(2,0,0)[12]             : AIC=-172.843, Time=1.27 sec\n",
      " ARIMA(2,1,1)(2,0,2)[12]             : AIC=-216.580, Time=3.05 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12]             : AIC=-217.971, Time=0.79 sec\n",
      " ARIMA(3,1,1)(1,0,1)[12]             : AIC=-218.416, Time=1.46 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12]             : AIC=-216.019, Time=0.91 sec\n",
      " ARIMA(3,1,2)(1,0,1)[12]             : AIC=inf, Time=1.23 sec\n",
      "\n",
      "Best model:  ARIMA(2,1,1)(1,0,1)[12]          \n",
      "Total fit time: 115.341 seconds\n",
      "Performing stepwise search to minimize aic\n",
      " ARIMA(1,1,1)(0,0,1)[12] intercept   : AIC=78.326, Time=0.46 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12] intercept   : AIC=268.973, Time=0.09 sec\n",
      " ARIMA(1,1,0)(1,0,0)[12] intercept   : AIC=-86.247, Time=0.43 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12] intercept   : AIC=88.321, Time=0.30 sec\n",
      " ARIMA(0,1,0)(0,0,0)[12]             : AIC=267.873, Time=0.05 sec\n",
      " ARIMA(1,1,0)(0,0,0)[12] intercept   : AIC=164.881, Time=0.10 sec\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " ARIMA(1,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=1.40 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12] intercept   : AIC=-215.295, Time=0.92 sec\n",
      " ARIMA(1,1,0)(0,0,1)[12] intercept   : AIC=79.622, Time=0.29 sec\n",
      " ARIMA(1,1,0)(2,0,1)[12] intercept   : AIC=-213.338, Time=2.35 sec\n",
      " ARIMA(1,1,0)(1,0,2)[12] intercept   : AIC=-213.368, Time=2.44 sec\n",
      " ARIMA(1,1,0)(0,0,2)[12] intercept   : AIC=10.658, Time=0.84 sec\n",
      " ARIMA(1,1,0)(2,0,2)[12] intercept   : AIC=-211.455, Time=2.87 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12] intercept   : AIC=-196.662, Time=0.73 sec\n",
      " ARIMA(2,1,0)(1,0,1)[12] intercept   : AIC=-215.984, Time=1.30 sec\n",
      " ARIMA(2,1,0)(0,0,1)[12] intercept   : AIC=73.664, Time=0.37 sec\n",
      " ARIMA(2,1,0)(1,0,0)[12] intercept   : AIC=-85.152, Time=0.63 sec\n",
      " ARIMA(2,1,0)(2,0,1)[12] intercept   : AIC=-210.391, Time=2.86 sec\n",
      " ARIMA(2,1,0)(1,0,2)[12] intercept   : AIC=-213.513, Time=2.89 sec\n",
      " ARIMA(2,1,0)(0,0,0)[12] intercept   : AIC=165.593, Time=0.13 sec\n",
      " ARIMA(2,1,0)(0,0,2)[12] intercept   : AIC=6.707, Time=1.13 sec\n",
      " ARIMA(2,1,0)(2,0,0)[12] intercept   : AIC=inf, Time=2.62 sec\n",
      " ARIMA(2,1,0)(2,0,2)[12] intercept   : AIC=-212.300, Time=3.01 sec\n",
      " ARIMA(3,1,0)(1,0,1)[12] intercept   : AIC=-211.921, Time=1.53 sec\n",
      " ARIMA(2,1,1)(1,0,1)[12] intercept   : AIC=-214.292, Time=1.75 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12] intercept   : AIC=-217.031, Time=1.59 sec\n",
      " ARIMA(1,1,1)(1,0,0)[12] intercept   : AIC=-85.392, Time=1.19 sec\n",
      " ARIMA(1,1,1)(2,0,1)[12] intercept   : AIC=-213.987, Time=3.79 sec\n",
      " ARIMA(1,1,1)(1,0,2)[12] intercept   : AIC=-213.784, Time=3.24 sec\n",
      " ARIMA(1,1,1)(0,0,0)[12] intercept   : AIC=166.254, Time=0.21 sec\n",
      " ARIMA(1,1,1)(0,0,2)[12] intercept   : AIC=10.453, Time=1.49 sec\n",
      " ARIMA(1,1,1)(2,0,0)[12] intercept   : AIC=-169.278, Time=2.54 sec\n",
      " ARIMA(1,1,1)(2,0,2)[12] intercept   : AIC=-213.446, Time=5.17 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12] intercept   : AIC=-218.051, Time=1.17 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12] intercept   : AIC=-87.340, Time=0.43 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12] intercept   : AIC=-216.264, Time=2.75 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12] intercept   : AIC=-216.277, Time=2.68 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12] intercept   : AIC=194.329, Time=0.11 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12] intercept   : AIC=12.193, Time=0.78 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12] intercept   : AIC=-167.096, Time=1.22 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12] intercept   : AIC=-214.273, Time=2.68 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12] intercept   : AIC=-216.624, Time=1.21 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12] intercept   : AIC=-214.449, Time=2.64 sec\n",
      " ARIMA(0,1,1)(1,0,1)[12]             : AIC=-219.873, Time=0.50 sec\n",
      " ARIMA(0,1,1)(0,0,1)[12]             : AIC=86.886, Time=0.20 sec\n",
      " ARIMA(0,1,1)(1,0,0)[12]             : AIC=-88.953, Time=0.23 sec\n",
      " ARIMA(0,1,1)(2,0,1)[12]             : AIC=-218.080, Time=1.06 sec\n",
      " ARIMA(0,1,1)(1,0,2)[12]             : AIC=-218.092, Time=1.42 sec\n",
      " ARIMA(0,1,1)(0,0,0)[12]             : AIC=192.924, Time=0.05 sec\n",
      " ARIMA(0,1,1)(0,0,2)[12]             : AIC=10.710, Time=0.49 sec\n",
      " ARIMA(0,1,1)(2,0,0)[12]             : AIC=-168.765, Time=0.41 sec\n",
      " ARIMA(0,1,1)(2,0,2)[12]             : AIC=-216.093, Time=1.31 sec\n",
      " ARIMA(0,1,0)(1,0,1)[12]             : AIC=-198.530, Time=0.39 sec\n",
      " ARIMA(1,1,1)(1,0,1)[12]             : AIC=-218.878, Time=0.91 sec\n",
      " ARIMA(0,1,2)(1,0,1)[12]             : AIC=-218.431, Time=0.71 sec\n",
      " ARIMA(1,1,0)(1,0,1)[12]             : AIC=-217.137, Time=0.50 sec\n",
      " ARIMA(1,1,2)(1,0,1)[12]             : AIC=-216.747, Time=1.20 sec\n",
      "\n",
      "Best model:  ARIMA(0,1,1)(1,0,1)[12]          \n",
      "Total fit time: 75.803 seconds\n"
     ]
    }
   ],
   "source": [
    "train=original[:420] # Training data\n",
    "test=original[420:] # Test data\n",
    "p =np.zeros(110)\n",
    "# Train model and predict\n",
    "for i in range(len(original)-len(train)):\n",
    "    model = pm.auto_arima(original[i:420+i], start_p=1, start_q=1,\n",
    "                      test='adf',       # use adf test to find optimal 'd'\n",
    "                      max_p=5, max_q=5, # maximum p and q\n",
    "                      m=12,              # frequency of series\n",
    "                      d=1,           # let model determine 'd'\n",
    "                      seasonal=True,   # Seasonality\n",
    "                      start_P=0, \n",
    "                      D=0, \n",
    "                      alpha=0.05,\n",
    "                      trace=True,\n",
    "                      error_action='ignore',  \n",
    "                      suppress_warnings=True, \n",
    "                      stepwise=True)\n",
    "    p[i]=model.predict(n_periods = 1, return_conf_int=True)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "index_of_fc = range(420,530)\n",
    "\n",
    "# make series for plotting purpose\n",
    "fc_series = pd.Series(p, index=index_of_fc)\n",
    "\n",
    "# Plot\n",
    "\n",
    "plt.plot(original,'r',lw =2)\n",
    "plt.plot(fc_series, color='b',lw=2)\n",
    "plt.xlim([0,525])\n",
    "plt.xlabel('data points', fontsize =15)\n",
    "plt.ylabel('cost',fontsize =15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.legend(['real','predicted'],prop={'size': 15})\n",
    "plt.grid()\n",
    "plt.savefig('arima', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(420,530),original[420:530],'r',lw=2)\n",
    "plt.plot(range(420,530),p, color='b',lw=2)\n",
    "plt.xlim([420,530])\n",
    "plt.xlabel('data points', fontsize =15)\n",
    "plt.ylabel('cost', fontsize =15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.legend(['real','predicted'],prop={'size': 15})\n",
    "plt.grid()\n",
    "plt.savefig('zoomedarima', dpi=300)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.16805390011893048"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rmse = (np.sum((original[420:530]-p)**2)/len(p))**(1/2)\n",
    "rmse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}