demo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "\n",
    "from engine import Tensor, draw_dot\n",
    "import nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 0\n",
      "(100, 2) (100, 1)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_moons(n_samples=100, noise=0.1)\n",
    "\n",
    "# y = 2.0 * y - 1.0\n",
    "\n",
    "print(y.max(), y.min())\n",
    "\n",
    "# visualize in 2D\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=20)\n",
    "y = np.expand_dims(y, 1)\n",
    "print(X.shape, y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Label: Loss data 2.653699303892113, grad 1.0 op *\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 11.0.0 (0)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"7192pt\" height=\"223pt\"\n",
       " viewBox=\"0.00 0.00 7191.98 223.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 219)\">\n",
       "<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-219 7187.98,-219 7187.98,4 -4,4\"/>\n",
       "<!-- 2640908574720 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>2640908574720</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"3721.5,-94.5 3721.5,-130.5 3973.5,-130.5 3973.5,-94.5 3721.5,-94.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3731.38\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3741.25,-95 3741.25,-130.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3771\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3800.75,-95 3800.75,-130.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3887.12\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.05130720130460143</text>\n",
       "</g>\n",
       "<!-- 2640908573904sigmoid -->\n",
       "<g id=\"node29\" class=\"node\">\n",
       "<title>2640908573904sigmoid</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4050.62\" cy=\"-112.5\" rx=\"41.12\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"4050.62\" y=\"-107.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">sigmoid</text>\n",
       "</g>\n",
       "<!-- 2640908574720&#45;&gt;2640908573904sigmoid -->\n",
       "<g id=\"edge60\" class=\"edge\">\n",
       "<title>2640908574720&#45;&gt;2640908573904sigmoid</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3973.87,-112.5C3982.13,-112.5 3990.15,-112.5 3997.69,-112.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3997.59,-116 4007.59,-112.5 3997.59,-109 3997.59,-116\"/>\n",
       "</g>\n",
       "<!-- 2640908574720+ -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>2640908574720+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"3658.5\" cy=\"-112.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"3658.5\" y=\"-107.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908574720+&#45;&gt;2640908574720 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>2640908574720+&#45;&gt;2640908574720</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3685.9,-112.5C3692.9,-112.5 3700.98,-112.5 3709.69,-112.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3709.53,-116 3719.53,-112.5 3709.53,-109 3709.53,-116\"/>\n",
       "</g>\n",
       "<!-- 2640908568576 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>2640908568576</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4508.73,-109.5 4508.73,-145.5 4741.23,-145.5 4741.23,-109.5 4508.73,-109.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4518.61\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4528.48,-110 4528.48,-145.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4551.86\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">0.001</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4575.23,-110 4575.23,-145.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4658.23\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.5095793395951332</text>\n",
       "</g>\n",
       "<!-- 2640908569920+ -->\n",
       "<g id=\"node33\" class=\"node\">\n",
       "<title>2640908569920+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4813.98\" cy=\"-182.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"4813.98\" y=\"-177.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908568576&#45;&gt;2640908569920+ -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>2640908568576&#45;&gt;2640908569920+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4717.67,-145.92C4728.98,-148.81 4740.3,-152.01 4750.98,-155.5 4761.04,-158.78 4771.69,-163.1 4781.28,-167.31\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4779.63,-170.41 4790.19,-171.35 4782.52,-164.03 4779.63,-170.41\"/>\n",
       "</g>\n",
       "<!-- 2640908570688 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>2640908570688</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"6949.98,-109.5 6949.98,-145.5 7183.98,-145.5 7183.98,-109.5 6949.98,-109.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6970.73\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Loss</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6991.48,-110 6991.48,-145.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"7055.36\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">2.653699303892113</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"7119.23,-110 7119.23,-145.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"7151.61\" y=\"-122.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 1.0</text>\n",
       "</g>\n",
       "<!-- 2640908570688* -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>2640908570688*</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"6886.98\" cy=\"-127.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"6886.98\" y=\"-122.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">*</text>\n",
       "</g>\n",
       "<!-- 2640908570688*&#45;&gt;2640908570688 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>2640908570688*&#45;&gt;2640908570688</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6914.25,-127.5C6921.32,-127.5 6929.46,-127.5 6938.23,-127.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6938.13,-131 6948.13,-127.5 6938.13,-124 6938.13,-131\"/>\n",
       "</g>\n",
       "<!-- 2640908566608 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>2640908566608</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4502.36,-5.5 4502.36,-41.5 4747.61,-41.5 4747.61,-5.5 4502.36,-5.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4512.23\" y=\"-18.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4522.11,-6 4522.11,-41.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4551.86\" y=\"-18.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4581.61,-6 4581.61,-41.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4664.61\" y=\"-18.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 30.999477997385068</text>\n",
       "</g>\n",
       "<!-- 2640908868096log -->\n",
       "<g id=\"node20\" class=\"node\">\n",
       "<title>2640908868096log</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4813.98\" cy=\"-20.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"4813.98\" y=\"-15.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">log</text>\n",
       "</g>\n",
       "<!-- 2640908566608&#45;&gt;2640908868096log -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>2640908566608&#45;&gt;2640908868096log</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4748.1,-21.54C4757.79,-21.39 4767.02,-21.24 4775.32,-21.1\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4775.31,-24.6 4785.26,-20.94 4775.2,-17.61 4775.31,-24.6\"/>\n",
       "</g>\n",
       "<!-- 2640908566608+ -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>2640908566608+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4435.98\" cy=\"-30.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"4435.98\" y=\"-25.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908566608+&#45;&gt;2640908566608 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>2640908566608+&#45;&gt;2640908566608</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4463.38,-29.51C4471.36,-29.21 4480.73,-28.86 4490.85,-28.48\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4490.73,-31.99 4500.6,-28.12 4490.47,-25 4490.73,-31.99\"/>\n",
       "</g>\n",
       "<!-- 2640908568672 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>2640908568672</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"5254.98,-110.5 5254.98,-146.5 5520.48,-146.5 5520.48,-110.5 5254.98,-110.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5264.86\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5274.73,-111 5274.73,-146.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5304.48\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5334.23,-111 5334.23,-146.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5427.36\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.0018397379180403533</text>\n",
       "</g>\n",
       "<!-- 2640908570736* -->\n",
       "<g id=\"node13\" class=\"node\">\n",
       "<title>2640908570736*</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"5682.48\" cy=\"-128.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"5682.48\" y=\"-123.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">*</text>\n",
       "</g>\n",
       "<!-- 2640908568672&#45;&gt;2640908570736* -->\n",
       "<g id=\"edge53\" class=\"edge\">\n",
       "<title>2640908568672&#45;&gt;2640908570736*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5520.97,-128.5C5565.85,-128.5 5612.51,-128.5 5643.88,-128.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5643.61,-132 5653.61,-128.5 5643.61,-125 5643.61,-132\"/>\n",
       "</g>\n",
       "<!-- 2640908568672+ -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>2640908568672+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"5191.98\" cy=\"-128.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"5191.98\" y=\"-123.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908568672+&#45;&gt;2640908568672 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>2640908568672+&#45;&gt;2640908568672</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5219.11,-128.5C5226.16,-128.5 5234.3,-128.5 5243.12,-128.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5243.11,-132 5253.11,-128.5 5243.11,-125 5243.11,-132\"/>\n",
       "</g>\n",
       "<!-- 2640908576880 -->\n",
       "<g id=\"node10\" class=\"node\">\n",
       "<title>2640908576880</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1692,-151.5 1692,-187.5 1930.5,-187.5 1930.5,-151.5 1692,-151.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1701.88\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1711.75,-152 1711.75,-187.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1741.5\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1771.25,-152 1771.25,-187.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1850.88\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 2.537709222465828</text>\n",
       "</g>\n",
       "<!-- 2640908570448@ -->\n",
       "<g id=\"node53\" class=\"node\">\n",
       "<title>2640908570448@</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2000.25\" cy=\"-141.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"2000.25\" y=\"-136.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">@</text>\n",
       "</g>\n",
       "<!-- 2640908576880&#45;&gt;2640908570448@ -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>2640908576880&#45;&gt;2640908570448@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1930.94,-151.73C1942.12,-150.05 1952.78,-148.46 1962.21,-147.05\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1962.58,-150.53 1971.96,-145.59 1961.55,-143.61 1962.58,-150.53\"/>\n",
       "</g>\n",
       "<!-- 2640908576880T -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title>2640908576880T</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1622.25\" cy=\"-169.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"1622.25\" y=\"-164.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">T</text>\n",
       "</g>\n",
       "<!-- 2640908576880T&#45;&gt;2640908576880 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>2640908576880T&#45;&gt;2640908576880</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1649.65,-169.5C1658.5,-169.5 1669.04,-169.5 1680.44,-169.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1680.09,-173 1690.09,-169.5 1680.09,-166 1680.09,-173\"/>\n",
       "</g>\n",
       "<!-- 2640908570736 -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title>2640908570736</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"5844.48,-108.5 5844.48,-144.5 6096.48,-144.5 6096.48,-108.5 5844.48,-108.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5854.36\" y=\"-121.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5864.23,-109 5864.23,-144.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5893.98\" y=\"-121.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5923.73,-109 5923.73,-144.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6010.11\" y=\"-121.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.09999999999999998</text>\n",
       "</g>\n",
       "<!-- 2640908569440+ -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>2640908569440+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"6159.48\" cy=\"-100.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"6159.48\" y=\"-95.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908570736&#45;&gt;2640908569440+ -->\n",
       "<g id=\"edge44\" class=\"edge\">\n",
       "<title>2640908570736&#45;&gt;2640908569440+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6096.73,-109.09C6105.55,-107.86 6113.94,-106.69 6121.54,-105.64\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6121.84,-109.13 6131.26,-104.28 6120.88,-102.19 6121.84,-109.13\"/>\n",
       "</g>\n",
       "<!-- 2640908570736*&#45;&gt;2640908570736 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>2640908570736*&#45;&gt;2640908570736</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5709.87,-128.32C5738.42,-128.12 5786.16,-127.78 5832.96,-127.45\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5832.7,-130.96 5842.68,-127.39 5832.66,-123.96 5832.7,-130.96\"/>\n",
       "</g>\n",
       "<!-- 2640908572896 -->\n",
       "<g id=\"node14\" class=\"node\">\n",
       "<title>2640908572896</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"839.25,-124.5 839.25,-160.5 1098,-160.5 1098,-124.5 839.25,-124.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"849.12\" y=\"-137.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"859,-125 859,-160.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"892.12\" y=\"-137.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"925.25,-125 925.25,-160.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1011.62\" y=\"-137.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.27055736591972984</text>\n",
       "</g>\n",
       "<!-- 2640908580768+ -->\n",
       "<g id=\"node55\" class=\"node\">\n",
       "<title>2640908580768+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1177.5\" cy=\"-114.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"1177.5\" y=\"-109.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908572896&#45;&gt;2640908580768+ -->\n",
       "<g id=\"edge31\" class=\"edge\">\n",
       "<title>2640908572896&#45;&gt;2640908580768+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1098.29,-125.09C1113.2,-123.07 1127.37,-121.15 1139.45,-119.51\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1139.84,-122.99 1149.28,-118.18 1138.9,-116.06 1139.84,-122.99\"/>\n",
       "</g>\n",
       "<!-- 2640908572896@ -->\n",
       "<g id=\"node15\" class=\"node\">\n",
       "<title>2640908572896@</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"759.75\" cy=\"-142.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"759.75\" y=\"-137.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">@</text>\n",
       "</g>\n",
       "<!-- 2640908572896@&#45;&gt;2640908572896 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>2640908572896@&#45;&gt;2640908572896</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M786.95,-142.5C798.24,-142.5 812.37,-142.5 827.74,-142.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"827.61,-146 837.61,-142.5 827.61,-139 827.61,-146\"/>\n",
       "</g>\n",
       "<!-- 2640908570928 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>2640908570928</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"6600.48,-82.5 6600.48,-118.5 6823.98,-118.5 6823.98,-82.5 6600.48,-82.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6610.36\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6620.23,-83 6620.23,-118.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6686.36\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">&#45;265.3699303892113</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6752.48,-83 6752.48,-118.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6788.23\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.01</text>\n",
       "</g>\n",
       "<!-- 2640908570928&#45;&gt;2640908570688* -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>2640908570928&#45;&gt;2640908570688*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6824.1,-117.83C6832.9,-119.2 6841.33,-120.52 6848.97,-121.72\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6848.38,-125.17 6858.8,-123.25 6849.46,-118.25 6848.38,-125.17\"/>\n",
       "</g>\n",
       "<!-- 2640908570928sum -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>2640908570928sum</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"6537.48\" cy=\"-100.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"6537.48\" y=\"-95.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">sum</text>\n",
       "</g>\n",
       "<!-- 2640908570928sum&#45;&gt;2640908570928 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>2640908570928sum&#45;&gt;2640908570928</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6564.72,-100.5C6571.82,-100.5 6580,-100.5 6588.78,-100.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6588.68,-104 6598.68,-100.5 6588.68,-97 6588.68,-104\"/>\n",
       "</g>\n",
       "<!-- 2640908566944 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>2640908566944</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4140.86,-163.5 4140.86,-199.5 4359.86,-199.5 4359.86,-163.5 4140.86,-163.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4150.73\" y=\"-176.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4160.61,-164 4160.61,-199.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4177.23\" y=\"-176.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">1.0</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4193.86,-164 4193.86,-199.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4276.86\" y=\"-176.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.5095793395951332</text>\n",
       "</g>\n",
       "<!-- 2640908568336+ -->\n",
       "<g id=\"node49\" class=\"node\">\n",
       "<title>2640908568336+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4435.98\" cy=\"-181.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"4435.98\" y=\"-176.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908566944&#45;&gt;2640908568336+ -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>2640908566944&#45;&gt;2640908568336+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4360.29,-181.5C4373.56,-181.5 4386.34,-181.5 4397.46,-181.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4397.3,-185 4407.3,-181.5 4397.3,-178 4397.3,-185\"/>\n",
       "</g>\n",
       "<!-- 2640908868096 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>2640908868096</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4876.98,-0.5 4876.98,-36.5 5128.98,-36.5 5128.98,-0.5 4876.98,-0.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4886.86\" y=\"-13.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4896.73,-1 4896.73,-36.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4926.48\" y=\"-13.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4956.23,-1 4956.23,-36.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5042.61\" y=\"-13.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.07071067811865475</text>\n",
       "</g>\n",
       "<!-- 2640908567904* -->\n",
       "<g id=\"node35\" class=\"node\">\n",
       "<title>2640908567904*</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"5191.98\" cy=\"-73.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"5191.98\" y=\"-68.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">*</text>\n",
       "</g>\n",
       "<!-- 2640908868096&#45;&gt;2640908567904* -->\n",
       "<g id=\"edge57\" class=\"edge\">\n",
       "<title>2640908868096&#45;&gt;2640908567904*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5095.67,-36.92C5106.98,-39.81 5118.3,-43.01 5128.98,-46.5 5139.04,-49.78 5149.69,-54.1 5159.28,-58.31\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5157.63,-61.41 5168.19,-62.35 5160.52,-55.03 5157.63,-61.41\"/>\n",
       "</g>\n",
       "<!-- 2640908868096log&#45;&gt;2640908868096 -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>2640908868096log&#45;&gt;2640908868096</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4841.38,-20.22C4848.38,-20.14 4856.46,-20.06 4865.17,-19.96\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4865.05,-23.46 4875.01,-19.86 4864.97,-16.47 4865.05,-23.46\"/>\n",
       "</g>\n",
       "<!-- 2640906959424 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>2640906959424</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"822.75,-69.5 822.75,-105.5 1114.5,-105.5 1114.5,-69.5 822.75,-69.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"864.5\" y=\"-82.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 1 bias</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"906.25,-70 906.25,-105.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"927.38\" y=\"-82.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64,)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"948.5,-70 948.5,-105.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1031.5\" y=\"-82.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 3.8935483617070483</text>\n",
       "</g>\n",
       "<!-- 2640906959424&#45;&gt;2640908580768+ -->\n",
       "<g id=\"edge32\" class=\"edge\">\n",
       "<title>2640906959424&#45;&gt;2640908580768+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1111.33,-105.99C1121.43,-107.31 1130.96,-108.56 1139.46,-109.67\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1138.87,-113.12 1149.24,-110.94 1139.77,-106.18 1138.87,-113.12\"/>\n",
       "</g>\n",
       "<!-- 2640908567136 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>2640908567136</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4886.73,-110.5 4886.73,-146.5 5119.23,-146.5 5119.23,-110.5 4886.73,-110.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4896.61\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4906.48,-111 4906.48,-146.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4923.11\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">1.0</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4939.73,-111 4939.73,-146.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5029.48\" y=\"-123.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.012528280144175426</text>\n",
       "</g>\n",
       "<!-- 2640908567136&#45;&gt;2640908568672+ -->\n",
       "<g id=\"edge47\" class=\"edge\">\n",
       "<title>2640908567136&#45;&gt;2640908568672+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5119.48,-128.5C5131.55,-128.5 5143.1,-128.5 5153.26,-128.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5152.98,-132 5162.98,-128.5 5152.98,-125 5152.98,-132\"/>\n",
       "</g>\n",
       "<!-- 2640908864304 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>2640908864304</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1240.5,-151.5 1240.5,-187.5 1559.25,-187.5 1559.25,-151.5 1240.5,-151.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1290.5\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 2 Weight</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1340.5,-152 1340.5,-187.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1370.25\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1400,-152 1400,-187.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1479.62\" y=\"-164.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 2.537709222465828</text>\n",
       "</g>\n",
       "<!-- 2640908864304&#45;&gt;2640908576880T -->\n",
       "<g id=\"edge50\" class=\"edge\">\n",
       "<title>2640908864304&#45;&gt;2640908576880T</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1559.57,-169.5C1568.23,-169.5 1576.39,-169.5 1583.77,-169.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1583.52,-173 1593.52,-169.5 1583.52,-166 1583.52,-173\"/>\n",
       "</g>\n",
       "<!-- 2640908579664 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>2640908579664</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4134.11,-12.5 4134.11,-48.5 4366.61,-48.5 4366.61,-12.5 4134.11,-12.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4143.98\" y=\"-25.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4153.86,-13 4153.86,-48.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4177.23\" y=\"-25.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">0.001</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4200.61,-13 4200.61,-48.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4283.61\" y=\"-25.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 163.62729526679865</text>\n",
       "</g>\n",
       "<!-- 2640908579664&#45;&gt;2640908566608+ -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>2640908579664&#45;&gt;2640908566608+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4366.87,-30.5C4377.66,-30.5 4387.98,-30.5 4397.17,-30.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4397.05,-34 4407.05,-30.5 4397.05,-27 4397.05,-34\"/>\n",
       "</g>\n",
       "<!-- 2640908569440 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>2640908569440</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"6222.48,-82.5 6222.48,-118.5 6474.48,-118.5 6474.48,-82.5 6222.48,-82.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6232.36\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6242.23,-83 6242.23,-118.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6271.98\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6301.73,-83 6301.73,-118.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6388.11\" y=\"-95.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.09999999999999998</text>\n",
       "</g>\n",
       "<!-- 2640908569440&#45;&gt;2640908570928sum -->\n",
       "<g id=\"edge58\" class=\"edge\">\n",
       "<title>2640908569440&#45;&gt;2640908570928sum</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6474.73,-100.5C6483.27,-100.5 6491.41,-100.5 6498.82,-100.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6498.64,-104 6508.64,-100.5 6498.64,-97 6498.64,-104\"/>\n",
       "</g>\n",
       "<!-- 2640908569440+&#45;&gt;2640908569440 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>2640908569440+&#45;&gt;2640908569440</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6186.88,-100.5C6193.88,-100.5 6201.96,-100.5 6210.67,-100.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6210.51,-104 6220.51,-100.5 6210.51,-97 6210.51,-104\"/>\n",
       "</g>\n",
       "<!-- 2640908864496 -->\n",
       "<g id=\"node27\" class=\"node\">\n",
       "<title>2640908864496</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2063.25,-178.5 2063.25,-214.5 2355,-214.5 2355,-178.5 2063.25,-178.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2105\" y=\"-191.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 2 bias</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2146.75,-179 2146.75,-214.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2167.88\" y=\"-191.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64,)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2189,-179 2189,-214.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2272\" y=\"-191.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.7086818549452869</text>\n",
       "</g>\n",
       "<!-- 2640908580336+ -->\n",
       "<g id=\"node39\" class=\"node\">\n",
       "<title>2640908580336+</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2418\" cy=\"-168.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"2418\" y=\"-163.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">+</text>\n",
       "</g>\n",
       "<!-- 2640908864496&#45;&gt;2640908580336+ -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>2640908864496&#45;&gt;2640908580336+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2346.67,-178.02C2358.68,-176.39 2370.02,-174.86 2379.95,-173.51\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2380.37,-176.99 2389.81,-172.18 2379.43,-170.05 2380.37,-176.99\"/>\n",
       "</g>\n",
       "<!-- 2640908573904 -->\n",
       "<g id=\"node28\" class=\"node\">\n",
       "<title>2640908573904</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4127.73,-94.5 4127.73,-130.5 4372.98,-130.5 4372.98,-94.5 4127.73,-94.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4137.61\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4147.48,-95 4147.48,-130.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4177.23\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4206.98,-95 4206.98,-130.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4289.98\" y=\"-107.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 30.999561783663342</text>\n",
       "</g>\n",
       "<!-- 2640908573904&#45;&gt;2640908566608+ -->\n",
       "<g id=\"edge46\" class=\"edge\">\n",
       "<title>2640908573904&#45;&gt;2640908566608+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4293.04,-94.07C4316.53,-83.66 4346.41,-70.4 4372.98,-58.5 4382.61,-54.19 4393.08,-49.47 4402.62,-45.16\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4403.85,-48.45 4411.52,-41.14 4400.97,-42.07 4403.85,-48.45\"/>\n",
       "</g>\n",
       "<!-- 2640908573904&#45;&gt;2640908568336+ -->\n",
       "<g id=\"edge34\" class=\"edge\">\n",
       "<title>2640908573904&#45;&gt;2640908568336+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4307.7,-130.93C4328.36,-137.96 4351.85,-146.27 4372.98,-154.5 4382.76,-158.31 4393.26,-162.75 4402.8,-166.92\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4401.11,-170 4411.68,-170.84 4403.95,-163.6 4401.11,-170\"/>\n",
       "</g>\n",
       "<!-- 2640908573904sigmoid&#45;&gt;2640908573904 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>2640908573904sigmoid&#45;&gt;2640908573904</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4092.11,-112.5C4099.49,-112.5 4107.56,-112.5 4116,-112.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4115.79,-116 4125.79,-112.5 4115.79,-109 4115.79,-116\"/>\n",
       "</g>\n",
       "<!-- 2640908580096 -->\n",
       "<g id=\"node30\" class=\"node\">\n",
       "<title>2640908580096</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"3323.62,-122.5 3323.62,-158.5 3575.62,-158.5 3575.62,-122.5 3323.62,-122.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3333.5\" y=\"-135.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3343.38,-123 3343.38,-158.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3373.12\" y=\"-135.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3402.88,-123 3402.88,-158.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3489.25\" y=\"-135.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.05130720130460143</text>\n",
       "</g>\n",
       "<!-- 2640908580096&#45;&gt;2640908574720+ -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>2640908580096&#45;&gt;2640908574720+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3576.03,-123.53C3592.15,-121.35 3607.51,-119.27 3620.47,-117.51\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3620.7,-121.01 3630.14,-116.2 3619.76,-114.08 3620.7,-121.01\"/>\n",
       "</g>\n",
       "<!-- 2640908580096@ -->\n",
       "<g id=\"node31\" class=\"node\">\n",
       "<title>2640908580096@</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"3240.75\" cy=\"-140.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"3240.75\" y=\"-135.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">@</text>\n",
       "</g>\n",
       "<!-- 2640908580096@&#45;&gt;2640908580096 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>2640908580096@&#45;&gt;2640908580096</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3267.95,-140.5C3280.08,-140.5 3295.5,-140.5 3312.21,-140.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3311.83,-144 3321.83,-140.5 3311.83,-137 3311.83,-144\"/>\n",
       "</g>\n",
       "<!-- 2640908569920 -->\n",
       "<g id=\"node32\" class=\"node\">\n",
       "<title>2640908569920</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4876.98,-165.5 4876.98,-201.5 5128.98,-201.5 5128.98,-165.5 4876.98,-165.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4886.86\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4896.73,-166 4896.73,-201.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4926.48\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4956.23,-166 4956.23,-201.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5042.61\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.07207405080763146</text>\n",
       "</g>\n",
       "<!-- 2640908570400log -->\n",
       "<g id=\"node51\" class=\"node\">\n",
       "<title>2640908570400log</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"5191.98\" cy=\"-183.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"5191.98\" y=\"-178.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">log</text>\n",
       "</g>\n",
       "<!-- 2640908569920&#45;&gt;2640908570400log -->\n",
       "<g id=\"edge26\" class=\"edge\">\n",
       "<title>2640908569920&#45;&gt;2640908570400log</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5129.23,-183.5C5137.77,-183.5 5145.91,-183.5 5153.32,-183.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5153.14,-187 5163.14,-183.5 5153.14,-180 5153.14,-187\"/>\n",
       "</g>\n",
       "<!-- 2640908569920+&#45;&gt;2640908569920 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>2640908569920+&#45;&gt;2640908569920</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4841.38,-182.64C4848.38,-182.68 4856.46,-182.72 4865.17,-182.77\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4864.99,-186.27 4875.01,-182.82 4865.03,-179.27 4864.99,-186.27\"/>\n",
       "</g>\n",
       "<!-- 2640908567904 -->\n",
       "<g id=\"node34\" class=\"node\">\n",
       "<title>2640908567904</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"5556.48,-55.5 5556.48,-91.5 5808.48,-91.5 5808.48,-55.5 5556.48,-55.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5566.36\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5576.23,-56 5576.23,-91.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5605.98\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5635.73,-56 5635.73,-91.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5722.11\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.09999999999999998</text>\n",
       "</g>\n",
       "<!-- 2640908567904&#45;&gt;2640908569440+ -->\n",
       "<g id=\"edge59\" class=\"edge\">\n",
       "<title>2640908567904&#45;&gt;2640908569440+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5808.9,-80.63C5913.14,-86.55 6054.75,-94.6 6121.18,-98.38\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6120.61,-101.85 6130.8,-98.93 6121.01,-94.86 6120.61,-101.85\"/>\n",
       "</g>\n",
       "<!-- 2640908567904*&#45;&gt;2640908567904 -->\n",
       "<g id=\"edge14\" class=\"edge\">\n",
       "<title>2640908567904*&#45;&gt;2640908567904</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5219.24,-73.5C5279.56,-73.5 5431.51,-73.5 5544.84,-73.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5544.51,-77 5554.51,-73.5 5544.51,-70 5544.51,-77\"/>\n",
       "</g>\n",
       "<!-- 2640908568000 -->\n",
       "<g id=\"node36\" class=\"node\">\n",
       "<title>2640908568000</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"444.75,-152.5 444.75,-188.5 696.75,-188.5 696.75,-152.5 444.75,-152.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"454.62\" y=\"-165.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"464.5,-153 464.5,-188.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"494.25\" y=\"-165.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 2)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"524,-153 524,-188.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"610.38\" y=\"-165.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.14987601573945936</text>\n",
       "</g>\n",
       "<!-- 2640908568000&#45;&gt;2640908572896@ -->\n",
       "<g id=\"edge41\" class=\"edge\">\n",
       "<title>2640908568000&#45;&gt;2640908572896@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M695.18,-152.02C704.7,-150.59 713.76,-149.24 721.91,-148.02\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"722.25,-151.5 731.63,-146.56 721.22,-144.58 722.25,-151.5\"/>\n",
       "</g>\n",
       "<!-- 2640904113616 -->\n",
       "<g id=\"node37\" class=\"node\">\n",
       "<title>2640904113616</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"3303.75,-67.5 3303.75,-103.5 3595.5,-103.5 3595.5,-67.5 3303.75,-67.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3345.5\" y=\"-80.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 3 bias</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3387.25,-68 3387.25,-103.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3405\" y=\"-80.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(1,)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3422.75,-68 3422.75,-103.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3509.12\" y=\"-80.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.32335791140817083</text>\n",
       "</g>\n",
       "<!-- 2640904113616&#45;&gt;2640908574720+ -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>2640904113616&#45;&gt;2640908574720+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3592.33,-103.99C3602.43,-105.31 3611.96,-106.56 3620.46,-107.67\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3619.87,-111.12 3630.24,-108.94 3620.77,-104.18 3619.87,-111.12\"/>\n",
       "</g>\n",
       "<!-- 2640908580336 -->\n",
       "<g id=\"node38\" class=\"node\">\n",
       "<title>2640908580336</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2511,-150.5 2511,-186.5 2769.75,-186.5 2769.75,-150.5 2511,-150.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2520.88\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2530.75,-151 2530.75,-186.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2563.88\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2597,-151 2597,-186.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2683.38\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.10005291327329163</text>\n",
       "</g>\n",
       "<!-- 2640908580480tanh -->\n",
       "<g id=\"node45\" class=\"node\">\n",
       "<title>2640908580480tanh</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2862.75\" cy=\"-168.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"2862.75\" y=\"-163.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">tanh</text>\n",
       "</g>\n",
       "<!-- 2640908580336&#45;&gt;2640908580480tanh -->\n",
       "<g id=\"edge52\" class=\"edge\">\n",
       "<title>2640908580336&#45;&gt;2640908580480tanh</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2770.21,-168.5C2790.02,-168.5 2809.01,-168.5 2824.5,-168.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2824.11,-172 2834.11,-168.5 2824.11,-165 2824.11,-172\"/>\n",
       "</g>\n",
       "<!-- 2640908580336+&#45;&gt;2640908580336 -->\n",
       "<g id=\"edge15\" class=\"edge\">\n",
       "<title>2640908580336+&#45;&gt;2640908580336</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2445.15,-168.5C2459.55,-168.5 2478.66,-168.5 2499.29,-168.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2499.02,-172 2509.02,-168.5 2499.02,-165 2499.02,-172\"/>\n",
       "</g>\n",
       "<!-- 2640908580432 -->\n",
       "<g id=\"node40\" class=\"node\">\n",
       "<title>2640908580432</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"451.5,-97.5 451.5,-133.5 690,-133.5 690,-97.5 451.5,-97.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"461.38\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"471.25,-98 471.25,-133.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"497.62\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(2, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"524,-98 524,-133.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"607\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 1.7706274043246175</text>\n",
       "</g>\n",
       "<!-- 2640908580432&#45;&gt;2640908572896@ -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>2640908580432&#45;&gt;2640908572896@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M690.44,-132.64C701.62,-134.25 712.28,-135.79 721.71,-137.15\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"721.06,-140.59 731.45,-138.56 722.06,-133.67 721.06,-140.59\"/>\n",
       "</g>\n",
       "<!-- 2640908580432T -->\n",
       "<g id=\"node41\" class=\"node\">\n",
       "<title>2640908580432T</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"381.75\" cy=\"-115.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"381.75\" y=\"-110.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">T</text>\n",
       "</g>\n",
       "<!-- 2640908580432T&#45;&gt;2640908580432 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>2640908580432T&#45;&gt;2640908580432</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M409.15,-115.5C418,-115.5 428.54,-115.5 439.94,-115.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"439.59,-119 449.59,-115.5 439.59,-112 439.59,-119\"/>\n",
       "</g>\n",
       "<!-- 2640908863056 -->\n",
       "<g id=\"node42\" class=\"node\">\n",
       "<title>2640908863056</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2481,-95.5 2481,-131.5 2799.75,-131.5 2799.75,-95.5 2481,-95.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2531\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 3 Weight</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2581,-96 2581,-131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2607.38\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(1, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2633.75,-96 2633.75,-131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2716.75\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 2.1148331421346516</text>\n",
       "</g>\n",
       "<!-- 2640908572656T -->\n",
       "<g id=\"node59\" class=\"node\">\n",
       "<title>2640908572656T</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2862.75\" cy=\"-113.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"2862.75\" y=\"-108.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">T</text>\n",
       "</g>\n",
       "<!-- 2640908863056&#45;&gt;2640908572656T -->\n",
       "<g id=\"edge51\" class=\"edge\">\n",
       "<title>2640908863056&#45;&gt;2640908572656T</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2800.07,-113.5C2808.73,-113.5 2816.89,-113.5 2824.27,-113.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2824.02,-117 2834.02,-113.5 2824.02,-110 2824.02,-117\"/>\n",
       "</g>\n",
       "<!-- 2640908572272 -->\n",
       "<g id=\"node43\" class=\"node\">\n",
       "<title>2640908572272</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4880.36,-55.5 4880.36,-91.5 5125.61,-91.5 5125.61,-55.5 4880.36,-55.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4890.23\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4900.11,-56 4900.11,-91.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4929.86\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4959.61,-56 4959.61,-91.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5042.61\" y=\"-68.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.4826938264993457</text>\n",
       "</g>\n",
       "<!-- 2640908572272&#45;&gt;2640908568672+ -->\n",
       "<g id=\"edge56\" class=\"edge\">\n",
       "<title>2640908572272&#45;&gt;2640908568672+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5095.67,-91.92C5106.98,-94.81 5118.3,-98.01 5128.98,-101.5 5139.04,-104.78 5149.69,-109.1 5159.28,-113.31\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5157.63,-116.41 5168.19,-117.35 5160.52,-110.03 5157.63,-116.41\"/>\n",
       "</g>\n",
       "<!-- 2640908572272&#45;&gt;2640908567904* -->\n",
       "<g id=\"edge39\" class=\"edge\">\n",
       "<title>2640908572272&#45;&gt;2640908567904*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5126.1,-73.5C5135.79,-73.5 5145.02,-73.5 5153.32,-73.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5153.26,-77 5163.26,-73.5 5153.26,-70 5153.26,-77\"/>\n",
       "</g>\n",
       "<!-- 2640908580480 -->\n",
       "<g id=\"node44\" class=\"node\">\n",
       "<title>2640908580480</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2925.75,-150.5 2925.75,-186.5 3177.75,-186.5 3177.75,-150.5 2925.75,-150.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2935.62\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2945.5,-151 2945.5,-186.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2978.62\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3011.75,-151 3011.75,-186.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3094.75\" y=\"-163.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.2519994586159125</text>\n",
       "</g>\n",
       "<!-- 2640908580480&#45;&gt;2640908580096@ -->\n",
       "<g id=\"edge42\" class=\"edge\">\n",
       "<title>2640908580480&#45;&gt;2640908580096@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3176.18,-150.02C3185.7,-148.59 3194.76,-147.24 3202.91,-146.02\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3203.25,-149.5 3212.63,-144.56 3202.22,-142.58 3203.25,-149.5\"/>\n",
       "</g>\n",
       "<!-- 2640908580480tanh&#45;&gt;2640908580480 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>2640908580480tanh&#45;&gt;2640908580480</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2890.15,-168.5C2897.15,-168.5 2905.23,-168.5 2913.94,-168.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2913.78,-172 2923.78,-168.5 2913.78,-165 2913.78,-172\"/>\n",
       "</g>\n",
       "<!-- 2640902821488 -->\n",
       "<g id=\"node46\" class=\"node\">\n",
       "<title>2640902821488</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1685.25,-96.5 1685.25,-132.5 1937.25,-132.5 1937.25,-96.5 1685.25,-96.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1695.12\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1705,-97 1705,-132.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1738.12\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1771.25,-97 1771.25,-132.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1854.25\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.4073753333857306</text>\n",
       "</g>\n",
       "<!-- 2640902821488&#45;&gt;2640908570448@ -->\n",
       "<g id=\"edge33\" class=\"edge\">\n",
       "<title>2640902821488&#45;&gt;2640908570448@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1937.5,-132.58C1946.32,-133.86 1954.71,-135.07 1962.31,-136.17\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1961.64,-139.61 1972.03,-137.57 1962.64,-132.68 1961.64,-139.61\"/>\n",
       "</g>\n",
       "<!-- 2640902821488tanh -->\n",
       "<g id=\"node47\" class=\"node\">\n",
       "<title>2640902821488tanh</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1622.25\" cy=\"-114.5\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"1622.25\" y=\"-109.45\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">tanh</text>\n",
       "</g>\n",
       "<!-- 2640902821488tanh&#45;&gt;2640902821488 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>2640902821488tanh&#45;&gt;2640902821488</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1649.65,-114.5C1656.65,-114.5 1664.73,-114.5 1673.44,-114.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1673.28,-118 1683.28,-114.5 1673.28,-111 1673.28,-118\"/>\n",
       "</g>\n",
       "<!-- 2640908568336 -->\n",
       "<g id=\"node48\" class=\"node\">\n",
       "<title>2640908568336</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"4498.98,-164.5 4498.98,-200.5 4750.98,-200.5 4750.98,-164.5 4498.98,-164.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4508.86\" y=\"-177.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4518.73,-165 4518.73,-200.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4548.48\" y=\"-177.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"4578.23,-165 4578.23,-200.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"4664.61\" y=\"-177.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.07207405080763146</text>\n",
       "</g>\n",
       "<!-- 2640908568336&#45;&gt;2640908569920+ -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>2640908568336&#45;&gt;2640908569920+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4751.23,-182.5C4759.77,-182.5 4767.91,-182.5 4775.32,-182.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4775.14,-186 4785.14,-182.5 4775.14,-179 4775.14,-186\"/>\n",
       "</g>\n",
       "<!-- 2640908568336+&#45;&gt;2640908568336 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>2640908568336+&#45;&gt;2640908568336</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4463.38,-181.64C4470.38,-181.68 4478.46,-181.72 4487.17,-181.77\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"4486.99,-185.27 4497.01,-181.82 4487.03,-178.27 4486.99,-185.27\"/>\n",
       "</g>\n",
       "<!-- 2640908570400 -->\n",
       "<g id=\"node50\" class=\"node\">\n",
       "<title>2640908570400</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"5261.73,-165.5 5261.73,-201.5 5513.73,-201.5 5513.73,-165.5 5261.73,-165.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5271.61\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5281.48,-166 5281.48,-201.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5311.23\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"5340.98,-166 5340.98,-201.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"5427.36\" y=\"-178.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.07071067811865475</text>\n",
       "</g>\n",
       "<!-- 2640908570400&#45;&gt;2640908570736* -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>2640908570400&#45;&gt;2640908570736*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5487.03,-165.03C5541.34,-154.83 5605.58,-142.76 5644.92,-135.37\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5645.38,-138.84 5654.57,-133.56 5644.09,-131.96 5645.38,-138.84\"/>\n",
       "</g>\n",
       "<!-- 2640908570400log&#45;&gt;2640908570400 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>2640908570400log&#45;&gt;2640908570400</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M5219.11,-183.5C5227.96,-183.5 5238.53,-183.5 5250.01,-183.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"5249.75,-187 5259.75,-183.5 5249.75,-180 5249.75,-187\"/>\n",
       "</g>\n",
       "<!-- 2640908570448 -->\n",
       "<g id=\"node52\" class=\"node\">\n",
       "<title>2640908570448</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2079.75,-123.5 2079.75,-159.5 2338.5,-159.5 2338.5,-123.5 2079.75,-123.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2089.62\" y=\"-136.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2099.5,-124 2099.5,-159.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2132.62\" y=\"-136.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2165.75,-124 2165.75,-159.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2252.12\" y=\"-136.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.10005291327329163</text>\n",
       "</g>\n",
       "<!-- 2640908570448&#45;&gt;2640908580336+ -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>2640908570448&#45;&gt;2640908580336+</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2338.79,-158.29C2353.7,-160.24 2367.87,-162.09 2379.95,-163.66\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2379.41,-167.12 2389.78,-164.95 2380.32,-160.18 2379.41,-167.12\"/>\n",
       "</g>\n",
       "<!-- 2640908570448@&#45;&gt;2640908570448 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>2640908570448@&#45;&gt;2640908570448</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2027.45,-141.5C2038.74,-141.5 2052.87,-141.5 2068.24,-141.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2068.11,-145 2078.11,-141.5 2068.11,-138 2068.11,-145\"/>\n",
       "</g>\n",
       "<!-- 2640908580768 -->\n",
       "<g id=\"node54\" class=\"node\">\n",
       "<title>2640908580768</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1270.5,-96.5 1270.5,-132.5 1529.25,-132.5 1529.25,-96.5 1270.5,-96.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1280.38\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1290.25,-97 1290.25,-132.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1323.38\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(100, 64)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"1356.5,-97 1356.5,-132.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1442.88\" y=\"-109.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 0.27055736591972984</text>\n",
       "</g>\n",
       "<!-- 2640908580768&#45;&gt;2640902821488tanh -->\n",
       "<g id=\"edge48\" class=\"edge\">\n",
       "<title>2640908580768&#45;&gt;2640902821488tanh</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1529.71,-114.5C1549.52,-114.5 1568.51,-114.5 1584,-114.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1583.61,-118 1593.61,-114.5 1583.61,-111 1583.61,-118\"/>\n",
       "</g>\n",
       "<!-- 2640908580768+&#45;&gt;2640908580768 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>2640908580768+&#45;&gt;2640908580768</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1204.65,-114.5C1219.05,-114.5 1238.16,-114.5 1258.79,-114.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1258.52,-118 1268.52,-114.5 1258.52,-111 1258.52,-118\"/>\n",
       "</g>\n",
       "<!-- 2640906954672 -->\n",
       "<g id=\"node56\" class=\"node\">\n",
       "<title>2640906954672</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"0,-97.5 0,-133.5 318.75,-133.5 318.75,-97.5 0,-97.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"50\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Layer 1 Weight</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"100,-98 100,-133.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"126.38\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64, 2)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"152.75,-98 152.75,-133.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"235.75\" y=\"-110.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 1.7706274043246175</text>\n",
       "</g>\n",
       "<!-- 2640906954672&#45;&gt;2640908580432T -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>2640906954672&#45;&gt;2640908580432T</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M319.07,-115.5C327.73,-115.5 335.89,-115.5 343.27,-115.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"343.02,-119 353.02,-115.5 343.02,-112 343.02,-119\"/>\n",
       "</g>\n",
       "<!-- 2640908580816 -->\n",
       "<g id=\"node57\" class=\"node\">\n",
       "<title>2640908580816</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"6600.48,-137.5 6600.48,-173.5 6823.98,-173.5 6823.98,-137.5 6600.48,-137.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6610.36\" y=\"-150.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6620.23,-138 6620.23,-173.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6642.48\" y=\"-150.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">&#45;0.01</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"6664.73,-138 6664.73,-173.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"6744.36\" y=\"-150.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 265.3699303892113</text>\n",
       "</g>\n",
       "<!-- 2640908580816&#45;&gt;2640908570688* -->\n",
       "<g id=\"edge54\" class=\"edge\">\n",
       "<title>2640908580816&#45;&gt;2640908570688*</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M6824.1,-137.53C6832.9,-136.1 6841.33,-134.74 6848.97,-133.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"6849.49,-136.96 6858.8,-131.91 6848.37,-130.05 6849.49,-136.96\"/>\n",
       "</g>\n",
       "<!-- 2640908572656 -->\n",
       "<g id=\"node58\" class=\"node\">\n",
       "<title>2640908572656</title>\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"2932.5,-95.5 2932.5,-131.5 3171,-131.5 3171,-95.5 2932.5,-95.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2942.38\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"2952.25,-96 2952.25,-131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"2978.62\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">(64, 1)</text>\n",
       "<polyline fill=\"none\" stroke=\"black\" points=\"3005,-96 3005,-131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"3088\" y=\"-108.7\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">grad: 2.1148331421346516</text>\n",
       "</g>\n",
       "<!-- 2640908572656&#45;&gt;2640908580096@ -->\n",
       "<g id=\"edge55\" class=\"edge\">\n",
       "<title>2640908572656&#45;&gt;2640908580096@</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3171.44,-130.64C3182.62,-132.25 3193.28,-133.79 3202.71,-135.15\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"3202.06,-138.59 3212.45,-136.56 3203.06,-131.67 3202.06,-138.59\"/>\n",
       "</g>\n",
       "<!-- 2640908572656T&#45;&gt;2640908572656 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>2640908572656T&#45;&gt;2640908572656</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2890.15,-113.5C2899,-113.5 2909.54,-113.5 2920.94,-113.5\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"2920.59,-117 2930.59,-113.5 2920.59,-110 2920.59,-117\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.graphs.Digraph at 0x266e26ad640>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "model = nn.Sequential(\n",
    "    nn.Linear(2, 64, name=\"Layer 1\"),\n",
    "    nn.Tanh(),\n",
    "    # nn.ReLU(),\n",
    "    nn.Linear(64, 64, name=\"Layer 2\"),\n",
    "    nn.Tanh(),\n",
    "    # nn.ReLU(),\n",
    "    nn.Linear(64, 1, name=\"Layer 3\"),\n",
    "    nn.Sigmoid()\n",
    "    # nn.Tanh()\n",
    "    # nn.ReLU()\n",
    ")\n",
    "\n",
    "mse_loss_func = lambda y_true, y_pred: ((y_true - y_pred)**2).sum()\n",
    "\n",
    "def bce_loss_func(y_true, y_pred):\n",
    "    m = y_true.shape[0]\n",
    "    t1 = y_true*((y_pred + 1.e-3).log())\n",
    "    t2 = (1 - y_true)*((1 - y_pred + 1e-3).log())\n",
    "    return (-1.0 / m) * (t1 + t2).sum()\n",
    "\n",
    "def max_margin_loss_func(y_true, y_pred):\n",
    "    m = y_true.shape[0]\n",
    "    v = (1.0 - (y_pred * y_true)).relu()\n",
    "    return (1.0 / m) * v.sum()\n",
    "\n",
    "# print(X.shape)\n",
    "loss = bce_loss_func(Tensor(y), model(Tensor(X)))\n",
    "# loss = mse_loss_func(Tensor(y), model(Tensor(X)))\n",
    "# loss = max_margin_loss_func(Tensor(y), model(Tensor(X)))\n",
    "loss.label = \"Loss\"\n",
    "loss.backward()\n",
    "print(loss)\n",
    "draw_dot(loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000 loss: 2.7904114425381237, acc: 46.875\n",
      "001 loss: 3.3076176352836697, acc: 37.5\n",
      "002 loss: 3.0457328128517647, acc: 40.625\n",
      "003 loss: 2.310972721392795, acc: 56.25\n",
      "004 loss: 2.5839203491304104, acc: 50.0\n",
      "005 loss: 2.982978799775985, acc: 40.625\n",
      "006 loss: 2.7501127420658227, acc: 43.75\n",
      "007 loss: 2.4896232372872245, acc: 53.125\n",
      "008 loss: 2.317799587040494, acc: 56.25\n",
      "009 loss: 2.7766296042751604, acc: 46.875\n",
      "010 loss: 2.8152676668561893, acc: 40.625\n",
      "011 loss: 2.395214207299816, acc: 53.125\n",
      "012 loss: 2.617496464493491, acc: 46.875\n",
      "013 loss: 3.1484177260884962, acc: 37.5\n",
      "014 loss: 2.3830660494961604, acc: 53.125\n",
      "015 loss: 1.7581343385385375, acc: 68.75\n",
      "016 loss: 2.6259555794073712, acc: 46.875\n",
      "017 loss: 2.400498664608796, acc: 53.125\n",
      "018 loss: 2.914652165458151, acc: 43.75\n",
      "019 loss: 1.8429424034223985, acc: 56.25\n",
      "020 loss: 2.4020427640372777, acc: 50.0\n",
      "021 loss: 2.470707450501811, acc: 46.875\n",
      "022 loss: 2.7993820957047078, acc: 43.75\n",
      "023 loss: 2.75723670663961, acc: 50.0\n",
      "024 loss: 2.2338529456594594, acc: 56.25\n",
      "025 loss: 2.344437584419448, acc: 50.0\n",
      "026 loss: 2.5842046672792973, acc: 43.75\n",
      "027 loss: 2.183647660151186, acc: 50.0\n",
      "028 loss: 1.9629069050744832, acc: 56.25\n",
      "029 loss: 1.8954323393698072, acc: 53.125\n",
      "030 loss: 2.569921764547744, acc: 40.625\n",
      "031 loss: 1.5378266740082553, acc: 65.625\n",
      "032 loss: 2.736975414608771, acc: 37.5\n",
      "033 loss: 1.821864081176361, acc: 59.375\n",
      "034 loss: 2.2096094634671264, acc: 43.75\n",
      "035 loss: 2.5737176892557594, acc: 40.625\n",
      "036 loss: 2.105152369461231, acc: 50.0\n",
      "037 loss: 1.9206021038109986, acc: 50.0\n",
      "038 loss: 2.0022138445813757, acc: 46.875\n",
      "039 loss: 2.5514821643088856, acc: 46.875\n",
      "040 loss: 1.7870147073711826, acc: 53.125\n",
      "041 loss: 2.1967744025229194, acc: 40.625\n",
      "042 loss: 2.3900784800061476, acc: 46.875\n",
      "043 loss: 1.6150468764251527, acc: 53.125\n",
      "044 loss: 2.112911151044865, acc: 46.875\n",
      "045 loss: 1.7505482446312552, acc: 46.875\n",
      "046 loss: 2.0010091627969175, acc: 50.0\n",
      "047 loss: 1.4380213176877787, acc: 56.25\n",
      "048 loss: 1.9788644647464322, acc: 46.875\n",
      "049 loss: 1.3419333212244333, acc: 59.375\n",
      "050 loss: 1.598939808370377, acc: 59.375\n",
      "051 loss: 1.5267083556151766, acc: 62.5\n",
      "052 loss: 1.6317681112423232, acc: 62.5\n",
      "053 loss: 1.2125533462398095, acc: 59.375\n",
      "054 loss: 1.4737499294490652, acc: 53.125\n",
      "055 loss: 1.6843980638418, acc: 50.0\n",
      "056 loss: 2.017542107271715, acc: 53.125\n",
      "057 loss: 1.5457829832983003, acc: 46.875\n",
      "058 loss: 1.9137249742499385, acc: 43.75\n",
      "059 loss: 1.8672985051838928, acc: 43.75\n",
      "060 loss: 1.3357949822285131, acc: 53.125\n",
      "061 loss: 1.7823659566643184, acc: 50.0\n",
      "062 loss: 1.574853398809375, acc: 59.375\n",
      "063 loss: 1.7202421530888068, acc: 53.125\n",
      "064 loss: 2.15649753865778, acc: 46.875\n",
      "065 loss: 2.1816271737955693, acc: 40.625\n",
      "066 loss: 1.7257139960280483, acc: 56.25\n",
      "067 loss: 1.3107290648666303, acc: 50.0\n",
      "068 loss: 1.6393426733773075, acc: 50.0\n",
      "069 loss: 1.6110460561996915, acc: 56.25\n",
      "070 loss: 1.6565404615810322, acc: 46.875\n",
      "071 loss: 1.242811173389176, acc: 56.25\n",
      "072 loss: 1.5294026980131792, acc: 50.0\n",
      "073 loss: 1.3500034877375349, acc: 40.625\n",
      "074 loss: 2.056544924464158, acc: 43.75\n",
      "075 loss: 1.6207646425558981, acc: 46.875\n",
      "076 loss: 1.2572047645094853, acc: 53.125\n",
      "077 loss: 1.7190885278141042, acc: 40.625\n",
      "078 loss: 1.3741420715510602, acc: 53.125\n",
      "079 loss: 1.6003787611626232, acc: 50.0\n",
      "080 loss: 1.1221206103595485, acc: 62.5\n",
      "081 loss: 1.9723770869448014, acc: 40.625\n",
      "082 loss: 1.4881524467284075, acc: 43.75\n",
      "083 loss: 2.391064595175297, acc: 31.25\n",
      "084 loss: 1.347054693969979, acc: 50.0\n",
      "085 loss: 1.675235614481039, acc: 50.0\n",
      "086 loss: 1.324573486843157, acc: 56.25\n",
      "087 loss: 1.6661826321785163, acc: 46.875\n",
      "088 loss: 1.5564895009537498, acc: 53.125\n",
      "089 loss: 1.7519483617081182, acc: 53.125\n",
      "090 loss: 1.0717700816574975, acc: 62.5\n",
      "091 loss: 1.1825818577074845, acc: 59.375\n",
      "092 loss: 1.3492544866271965, acc: 53.125\n",
      "093 loss: 0.9144767331896022, acc: 65.625\n",
      "094 loss: 0.9690728295336909, acc: 75.0\n",
      "095 loss: 1.6960176853150437, acc: 53.125\n",
      "096 loss: 1.2608944611762123, acc: 62.5\n",
      "097 loss: 1.1139420735810734, acc: 53.125\n",
      "098 loss: 1.3056590825112542, acc: 65.625\n",
      "099 loss: 1.2198580178831786, acc: 59.375\n",
      "100 loss: 1.8087612485399949, acc: 56.25\n",
      "101 loss: 1.0870797073748584, acc: 65.625\n",
      "102 loss: 1.4306676281447297, acc: 53.125\n",
      "103 loss: 0.7606117251836526, acc: 71.875\n",
      "104 loss: 1.1772345728305122, acc: 59.375\n",
      "105 loss: 1.429496216207, acc: 53.125\n",
      "106 loss: 1.1364427123469405, acc: 65.625\n",
      "107 loss: 1.208078322771911, acc: 65.625\n",
      "108 loss: 0.8326740416297181, acc: 68.75\n",
      "109 loss: 1.6810429138527536, acc: 46.875\n",
      "110 loss: 1.1141291697518882, acc: 68.75\n",
      "111 loss: 0.9639270241014096, acc: 65.625\n",
      "112 loss: 1.5260282795616162, acc: 53.125\n",
      "113 loss: 1.151852171463346, acc: 59.375\n",
      "114 loss: 1.503640035520023, acc: 53.125\n",
      "115 loss: 1.3773836521698306, acc: 53.125\n",
      "116 loss: 1.0412457803960058, acc: 68.75\n",
      "117 loss: 1.5451087834426818, acc: 53.125\n",
      "118 loss: 0.8816168993093829, acc: 81.25\n",
      "119 loss: 1.28805380900179, acc: 46.875\n",
      "120 loss: 0.84484756150937, acc: 65.625\n",
      "121 loss: 1.450024897904406, acc: 50.0\n",
      "122 loss: 1.3061021342455517, acc: 59.375\n",
      "123 loss: 1.3516890943301059, acc: 62.5\n",
      "124 loss: 0.9693778611983217, acc: 65.625\n",
      "125 loss: 0.8572478392242858, acc: 68.75\n",
      "126 loss: 0.9878661185568125, acc: 68.75\n",
      "127 loss: 0.7262790683851786, acc: 84.375\n",
      "128 loss: 1.0483571686369841, acc: 68.75\n",
      "129 loss: 0.9941212545015139, acc: 68.75\n",
      "130 loss: 0.7375703150287163, acc: 75.0\n",
      "131 loss: 1.4834579718346523, acc: 53.125\n",
      "132 loss: 0.7489682051692008, acc: 71.875\n",
      "133 loss: 0.8333571764252409, acc: 71.875\n",
      "134 loss: 0.9527793992685056, acc: 71.875\n",
      "135 loss: 0.8633503002792493, acc: 62.5\n",
      "136 loss: 1.0407349333341402, acc: 65.625\n",
      "137 loss: 1.11094647552646, acc: 62.5\n",
      "138 loss: 1.1729161731374291, acc: 59.375\n",
      "139 loss: 0.8940041488772628, acc: 65.625\n",
      "140 loss: 1.0087328257282895, acc: 59.375\n",
      "141 loss: 1.0608107866355068, acc: 68.75\n",
      "142 loss: 1.3284502192003669, acc: 59.375\n",
      "143 loss: 0.7459700006063023, acc: 75.0\n",
      "144 loss: 0.8889684720357542, acc: 65.625\n",
      "145 loss: 0.8492053976237954, acc: 68.75\n",
      "146 loss: 0.8080458821610941, acc: 68.75\n",
      "147 loss: 1.0315051355542395, acc: 65.625\n",
      "148 loss: 0.7465071054540067, acc: 75.0\n",
      "149 loss: 0.8079849580676592, acc: 68.75\n",
      "150 loss: 0.4947658962501477, acc: 84.375\n",
      "151 loss: 0.8316067821415922, acc: 71.875\n",
      "152 loss: 0.7182815846685663, acc: 75.0\n",
      "153 loss: 0.9560231789553032, acc: 62.5\n",
      "154 loss: 1.262001292693148, acc: 56.25\n",
      "155 loss: 0.7965078695086674, acc: 71.875\n",
      "156 loss: 0.758901898818482, acc: 75.0\n",
      "157 loss: 1.043102153394444, acc: 59.375\n",
      "158 loss: 1.0145932679402871, acc: 62.5\n",
      "159 loss: 1.115107964703718, acc: 53.125\n",
      "160 loss: 0.6515454524993709, acc: 75.0\n",
      "161 loss: 0.6237288726613045, acc: 71.875\n",
      "162 loss: 0.6927292174770461, acc: 71.875\n",
      "163 loss: 1.062861445704654, acc: 59.375\n",
      "164 loss: 0.6242207657588005, acc: 75.0\n",
      "165 loss: 0.7750314114860257, acc: 75.0\n",
      "166 loss: 0.9648328500711527, acc: 65.625\n",
      "167 loss: 0.7148370052258639, acc: 75.0\n",
      "168 loss: 0.6379904522723032, acc: 78.125\n",
      "169 loss: 0.811117236677383, acc: 65.625\n",
      "170 loss: 1.0262831239255887, acc: 56.25\n",
      "171 loss: 0.8740606353744649, acc: 65.625\n",
      "172 loss: 0.9487263378801072, acc: 65.625\n",
      "173 loss: 0.8074344989097213, acc: 75.0\n",
      "174 loss: 0.860920277724424, acc: 62.5\n",
      "175 loss: 0.7003865187345022, acc: 75.0\n",
      "176 loss: 0.8196736698947646, acc: 78.125\n",
      "177 loss: 0.8843199390148273, acc: 62.5\n",
      "178 loss: 0.9691579446558503, acc: 62.5\n",
      "179 loss: 0.8646259245201863, acc: 62.5\n",
      "180 loss: 1.0110477288727904, acc: 56.25\n",
      "181 loss: 0.7118724212333696, acc: 75.0\n",
      "182 loss: 1.0356118932752623, acc: 59.375\n",
      "183 loss: 0.5837493469509738, acc: 75.0\n",
      "184 loss: 0.7884418907065427, acc: 68.75\n",
      "185 loss: 0.9119274499536141, acc: 62.5\n",
      "186 loss: 0.8302088444176884, acc: 65.625\n",
      "187 loss: 0.8010699875251377, acc: 62.5\n",
      "188 loss: 0.8748654852235224, acc: 62.5\n",
      "189 loss: 0.7421712434640062, acc: 62.5\n",
      "190 loss: 0.6777880131370011, acc: 68.75\n",
      "191 loss: 0.7196578358901264, acc: 62.5\n",
      "192 loss: 0.5999880424201244, acc: 68.75\n",
      "193 loss: 0.5558545585770308, acc: 65.625\n",
      "194 loss: 0.9041182383082997, acc: 59.375\n",
      "195 loss: 0.6967724663466284, acc: 65.625\n",
      "196 loss: 0.5331895424732723, acc: 68.75\n",
      "197 loss: 0.7815108597681648, acc: 65.625\n",
      "198 loss: 0.8696409500248274, acc: 56.25\n",
      "199 loss: 0.900006550672062, acc: 62.5\n",
      "200 loss: 0.6206671797239254, acc: 78.125\n",
      "201 loss: 0.5984697207283088, acc: 71.875\n",
      "202 loss: 0.9229511352556027, acc: 59.375\n",
      "203 loss: 0.6081243341163145, acc: 71.875\n",
      "204 loss: 0.6788478617851231, acc: 68.75\n",
      "205 loss: 0.6785964995538538, acc: 65.625\n",
      "206 loss: 0.7598191638053688, acc: 68.75\n",
      "207 loss: 0.6864885717984339, acc: 65.625\n",
      "208 loss: 0.6203551872331987, acc: 81.25\n",
      "209 loss: 0.7391001659794019, acc: 62.5\n",
      "210 loss: 0.8292107821132814, acc: 53.125\n",
      "211 loss: 0.8437846584591407, acc: 56.25\n",
      "212 loss: 0.7919617152321383, acc: 65.625\n",
      "213 loss: 0.6924186663501972, acc: 65.625\n",
      "214 loss: 0.6477413867528476, acc: 68.75\n",
      "215 loss: 0.7818174976756205, acc: 59.375\n",
      "216 loss: 0.7176446129706099, acc: 59.375\n",
      "217 loss: 0.7076369050691548, acc: 65.625\n",
      "218 loss: 0.48088839308274905, acc: 75.0\n",
      "219 loss: 0.6957771392942381, acc: 68.75\n",
      "220 loss: 0.777918590155468, acc: 59.375\n",
      "221 loss: 0.7653116332713726, acc: 68.75\n",
      "222 loss: 0.819424786623111, acc: 56.25\n",
      "223 loss: 0.7272099786572314, acc: 68.75\n",
      "224 loss: 0.9206994431481581, acc: 46.875\n",
      "225 loss: 0.5812313995760138, acc: 65.625\n",
      "226 loss: 0.9727946413328413, acc: 46.875\n",
      "227 loss: 0.7270510100181617, acc: 68.75\n",
      "228 loss: 0.5708626517312606, acc: 75.0\n",
      "229 loss: 0.5850872654186341, acc: 65.625\n",
      "230 loss: 0.6442097204893323, acc: 65.625\n",
      "231 loss: 0.6224932838762616, acc: 75.0\n",
      "232 loss: 0.6592885844992399, acc: 65.625\n",
      "233 loss: 0.7456023777036682, acc: 65.625\n",
      "234 loss: 0.6292750781997924, acc: 71.875\n",
      "235 loss: 0.48685901490701855, acc: 78.125\n",
      "236 loss: 0.5810939183168933, acc: 75.0\n",
      "237 loss: 0.5497245454230635, acc: 71.875\n",
      "238 loss: 0.49013586648821394, acc: 75.0\n",
      "239 loss: 0.5781943630641191, acc: 75.0\n",
      "240 loss: 0.5807067374161897, acc: 68.75\n",
      "241 loss: 0.6171062646435349, acc: 78.125\n",
      "242 loss: 0.8053330909648293, acc: 59.375\n",
      "243 loss: 0.5621501898617511, acc: 75.0\n",
      "244 loss: 0.76631748616634, acc: 59.375\n",
      "245 loss: 0.6156825312001065, acc: 75.0\n",
      "246 loss: 0.5718485282160852, acc: 75.0\n",
      "247 loss: 0.6025845778300124, acc: 68.75\n",
      "248 loss: 0.613219011127088, acc: 71.875\n",
      "249 loss: 0.6964161854256914, acc: 59.375\n",
      "250 loss: 0.5324528825539534, acc: 78.125\n",
      "251 loss: 0.599241256217336, acc: 68.75\n",
      "252 loss: 0.4847768381857222, acc: 71.875\n",
      "253 loss: 0.6894394520971321, acc: 62.5\n",
      "254 loss: 0.6218213855121059, acc: 68.75\n",
      "255 loss: 0.5322071857367157, acc: 78.125\n",
      "256 loss: 0.6996769482029027, acc: 65.625\n",
      "257 loss: 0.5604693755024708, acc: 71.875\n",
      "258 loss: 0.5065171684869407, acc: 71.875\n",
      "259 loss: 0.6956911779618551, acc: 65.625\n",
      "260 loss: 0.5817998947603111, acc: 71.875\n",
      "261 loss: 0.44474125288038197, acc: 78.125\n",
      "262 loss: 0.5355409563821694, acc: 75.0\n",
      "263 loss: 0.608461487338857, acc: 68.75\n",
      "264 loss: 0.7156019178703369, acc: 62.5\n",
      "265 loss: 0.48155617441935294, acc: 75.0\n",
      "266 loss: 0.6017242312397525, acc: 68.75\n",
      "267 loss: 0.7273092614542023, acc: 62.5\n",
      "268 loss: 0.5533201873537097, acc: 71.875\n",
      "269 loss: 0.5859409969481545, acc: 71.875\n",
      "270 loss: 0.5281856175310105, acc: 68.75\n",
      "271 loss: 0.6717498563740696, acc: 68.75\n",
      "272 loss: 0.4395673175219987, acc: 81.25\n",
      "273 loss: 0.4593183689243494, acc: 78.125\n",
      "274 loss: 0.5259406849612991, acc: 71.875\n",
      "275 loss: 0.5578469098497231, acc: 75.0\n",
      "276 loss: 0.3743720583800005, acc: 84.375\n",
      "277 loss: 0.5602373698560246, acc: 68.75\n",
      "278 loss: 0.8212944187712665, acc: 56.25\n",
      "279 loss: 0.6103331428674958, acc: 68.75\n",
      "280 loss: 0.5279644349516757, acc: 71.875\n",
      "281 loss: 0.2911380413957917, acc: 90.625\n",
      "282 loss: 0.6002591187368763, acc: 71.875\n",
      "283 loss: 0.5367667024376714, acc: 78.125\n",
      "284 loss: 0.7095517459171559, acc: 65.625\n",
      "285 loss: 0.6548879101946523, acc: 68.75\n",
      "286 loss: 0.5716649184279186, acc: 68.75\n",
      "287 loss: 0.6136234594563679, acc: 62.5\n",
      "288 loss: 0.3914561354444086, acc: 81.25\n",
      "289 loss: 0.42621278538536644, acc: 81.25\n",
      "290 loss: 0.5428802287166706, acc: 68.75\n",
      "291 loss: 0.6023122486085318, acc: 65.625\n",
      "292 loss: 0.5410024556955337, acc: 68.75\n",
      "293 loss: 0.50258927104923, acc: 68.75\n",
      "294 loss: 0.46894028380863106, acc: 75.0\n",
      "295 loss: 0.6030611157950726, acc: 68.75\n",
      "296 loss: 0.5173582149279243, acc: 71.875\n",
      "297 loss: 0.6074281914778376, acc: 71.875\n",
      "298 loss: 0.6024216841686869, acc: 71.875\n",
      "299 loss: 0.48874128287866436, acc: 71.875\n",
      "300 loss: 0.515371227766604, acc: 71.875\n",
      "301 loss: 0.5240271618731384, acc: 78.125\n",
      "302 loss: 0.570600631563063, acc: 75.0\n",
      "303 loss: 0.5750939659102483, acc: 75.0\n",
      "304 loss: 0.691314662795015, acc: 62.5\n",
      "305 loss: 0.7447221078792761, acc: 62.5\n",
      "306 loss: 0.5392824344142867, acc: 75.0\n",
      "307 loss: 0.4703514409540849, acc: 78.125\n",
      "308 loss: 0.6968325584731592, acc: 62.5\n",
      "309 loss: 0.6388157311257023, acc: 71.875\n",
      "310 loss: 0.4784488343086093, acc: 81.25\n",
      "311 loss: 0.43013934926582753, acc: 81.25\n",
      "312 loss: 0.4172184114597214, acc: 84.375\n",
      "313 loss: 0.5418893282463633, acc: 71.875\n",
      "314 loss: 0.5859200725210443, acc: 62.5\n",
      "315 loss: 0.5392406776909953, acc: 68.75\n",
      "316 loss: 0.3787444782526698, acc: 78.125\n",
      "317 loss: 0.5055530438900975, acc: 75.0\n",
      "318 loss: 0.5339077942096966, acc: 68.75\n",
      "319 loss: 0.42076484636608225, acc: 78.125\n",
      "320 loss: 0.47501516677967226, acc: 68.75\n",
      "321 loss: 0.6256376812371687, acc: 68.75\n",
      "322 loss: 0.3140626322522242, acc: 84.375\n",
      "323 loss: 0.3883627569252087, acc: 78.125\n",
      "324 loss: 0.5305676344538426, acc: 71.875\n",
      "325 loss: 0.5709353830189546, acc: 68.75\n",
      "326 loss: 0.46773739920219426, acc: 68.75\n",
      "327 loss: 0.579590408792298, acc: 71.875\n",
      "328 loss: 0.47815648603504823, acc: 68.75\n",
      "329 loss: 0.5014163234274605, acc: 65.625\n",
      "330 loss: 0.496173015988314, acc: 65.625\n",
      "331 loss: 0.5335735309702236, acc: 71.875\n",
      "332 loss: 0.5298540181365295, acc: 75.0\n",
      "333 loss: 0.5166622381553186, acc: 75.0\n",
      "334 loss: 0.4048099298080827, acc: 78.125\n",
      "335 loss: 0.5490402109004151, acc: 68.75\n",
      "336 loss: 0.4584891793240328, acc: 71.875\n",
      "337 loss: 0.5298237188738536, acc: 68.75\n",
      "338 loss: 0.43741687482703184, acc: 75.0\n",
      "339 loss: 0.39151732293105435, acc: 78.125\n",
      "340 loss: 0.40292378155165187, acc: 81.25\n",
      "341 loss: 0.6461234113493644, acc: 62.5\n",
      "342 loss: 0.47823362676404163, acc: 71.875\n",
      "343 loss: 0.4986113882484564, acc: 75.0\n",
      "344 loss: 0.6427307716777072, acc: 65.625\n",
      "345 loss: 0.5543563308380016, acc: 71.875\n",
      "346 loss: 0.46255726808203257, acc: 78.125\n",
      "347 loss: 0.5457119124862199, acc: 71.875\n",
      "348 loss: 0.4257447634640843, acc: 81.25\n",
      "349 loss: 0.5642333395630722, acc: 68.75\n",
      "350 loss: 0.4873116939702016, acc: 68.75\n",
      "351 loss: 0.7503816071564304, acc: 59.375\n",
      "352 loss: 0.5305739406534156, acc: 75.0\n",
      "353 loss: 0.5917923500154948, acc: 71.875\n",
      "354 loss: 0.6223818380326056, acc: 68.75\n",
      "355 loss: 0.4777066121834528, acc: 75.0\n",
      "356 loss: 0.34156834210973375, acc: 84.375\n",
      "357 loss: 0.5181646577704304, acc: 71.875\n",
      "358 loss: 0.2953488633822626, acc: 87.5\n",
      "359 loss: 0.4100457301437834, acc: 84.375\n",
      "360 loss: 0.574923342101499, acc: 71.875\n",
      "361 loss: 0.49130949828916237, acc: 81.25\n",
      "362 loss: 0.355508600986268, acc: 84.375\n",
      "363 loss: 0.4532142249766629, acc: 81.25\n",
      "364 loss: 0.3881256236344324, acc: 78.125\n",
      "365 loss: 0.5211007547493097, acc: 71.875\n",
      "366 loss: 0.43227468232332356, acc: 84.375\n",
      "367 loss: 0.49522658414344445, acc: 75.0\n",
      "368 loss: 0.4525390350503685, acc: 75.0\n",
      "369 loss: 0.47612548783076314, acc: 75.0\n",
      "370 loss: 0.5816470731548693, acc: 71.875\n",
      "371 loss: 0.5136618552267604, acc: 75.0\n",
      "372 loss: 0.35742239578422397, acc: 87.5\n",
      "373 loss: 0.47284874540601546, acc: 84.375\n",
      "374 loss: 0.558101592246939, acc: 75.0\n",
      "375 loss: 0.45239947161476024, acc: 87.5\n",
      "376 loss: 0.48527776948146195, acc: 78.125\n",
      "377 loss: 0.4412400025040486, acc: 78.125\n",
      "378 loss: 0.534810842829129, acc: 68.75\n",
      "379 loss: 0.3723040652734091, acc: 87.5\n",
      "380 loss: 0.5932509266275618, acc: 71.875\n",
      "381 loss: 0.36977191667907594, acc: 87.5\n",
      "382 loss: 0.552356650796317, acc: 78.125\n",
      "383 loss: 0.6064222498673073, acc: 68.75\n",
      "384 loss: 0.45635161165439747, acc: 81.25\n",
      "385 loss: 0.40748081757990784, acc: 78.125\n",
      "386 loss: 0.5373223205203451, acc: 71.875\n",
      "387 loss: 0.477984271835069, acc: 75.0\n",
      "388 loss: 0.5864776907817573, acc: 68.75\n",
      "389 loss: 0.474353619458446, acc: 81.25\n",
      "390 loss: 0.5364379564209045, acc: 71.875\n",
      "391 loss: 0.5561535458933115, acc: 71.875\n",
      "392 loss: 0.46129075433408473, acc: 81.25\n",
      "393 loss: 0.39720623917218106, acc: 84.375\n",
      "394 loss: 0.451765548265773, acc: 75.0\n",
      "395 loss: 0.3726282750945531, acc: 84.375\n",
      "396 loss: 0.47179374033622085, acc: 75.0\n",
      "397 loss: 0.447929645497154, acc: 84.375\n",
      "398 loss: 0.5443915925974909, acc: 75.0\n",
      "399 loss: 0.41465682404621407, acc: 84.375\n",
      "400 loss: 0.48214085618778363, acc: 78.125\n",
      "401 loss: 0.5282241442107796, acc: 78.125\n",
      "402 loss: 0.6010958881497692, acc: 75.0\n",
      "403 loss: 0.4099467435357564, acc: 87.5\n",
      "404 loss: 0.3996717233736538, acc: 81.25\n",
      "405 loss: 0.4332259475468292, acc: 84.375\n",
      "406 loss: 0.5128085905604779, acc: 81.25\n",
      "407 loss: 0.233481041507245, acc: 96.875\n",
      "408 loss: 0.4768375796560427, acc: 84.375\n",
      "409 loss: 0.32774128793392443, acc: 87.5\n",
      "410 loss: 0.512840121348934, acc: 75.0\n",
      "411 loss: 0.5981828990966533, acc: 75.0\n",
      "412 loss: 0.43041443380750855, acc: 81.25\n",
      "413 loss: 0.4082742034077135, acc: 81.25\n",
      "414 loss: 0.35782952054429334, acc: 84.375\n",
      "415 loss: 0.4303372483551663, acc: 81.25\n",
      "416 loss: 0.44449238578796524, acc: 81.25\n",
      "417 loss: 0.4070586811637839, acc: 84.375\n",
      "418 loss: 0.36063331959977696, acc: 84.375\n",
      "419 loss: 0.48915029610485683, acc: 78.125\n",
      "420 loss: 0.4324362605163613, acc: 84.375\n",
      "421 loss: 0.35508226071211174, acc: 84.375\n",
      "422 loss: 0.3873199726387107, acc: 84.375\n",
      "423 loss: 0.4357434778011371, acc: 78.125\n",
      "424 loss: 0.4481882723801914, acc: 84.375\n",
      "425 loss: 0.5010467419960583, acc: 75.0\n",
      "426 loss: 0.38006699035022895, acc: 87.5\n",
      "427 loss: 0.518849169701405, acc: 71.875\n",
      "428 loss: 0.36339982003757426, acc: 87.5\n",
      "429 loss: 0.4242193255894309, acc: 78.125\n",
      "430 loss: 0.43883665864327365, acc: 78.125\n",
      "431 loss: 0.4712709178950566, acc: 78.125\n",
      "432 loss: 0.2786478577806759, acc: 87.5\n",
      "433 loss: 0.5289605862838613, acc: 71.875\n",
      "434 loss: 0.4373454152537412, acc: 78.125\n",
      "435 loss: 0.3903951249113827, acc: 84.375\n",
      "436 loss: 0.5459528239266531, acc: 75.0\n",
      "437 loss: 0.3417269278254277, acc: 84.375\n",
      "438 loss: 0.49716165939803125, acc: 78.125\n",
      "439 loss: 0.2726170239152892, acc: 90.625\n",
      "440 loss: 0.32355192342499695, acc: 87.5\n",
      "441 loss: 0.5401782861630932, acc: 71.875\n",
      "442 loss: 0.44844185861735314, acc: 78.125\n",
      "443 loss: 0.4728962084381292, acc: 75.0\n",
      "444 loss: 0.29314158807219487, acc: 90.625\n",
      "445 loss: 0.4054840020966275, acc: 81.25\n",
      "446 loss: 0.34062573455642486, acc: 84.375\n",
      "447 loss: 0.3932550886942006, acc: 78.125\n",
      "448 loss: 0.4599415224953214, acc: 81.25\n",
      "449 loss: 0.2602819062159625, acc: 90.625\n",
      "450 loss: 0.41281114437187144, acc: 84.375\n",
      "451 loss: 0.44033640479530045, acc: 78.125\n",
      "452 loss: 0.4093611861984988, acc: 81.25\n",
      "453 loss: 0.34449882988932745, acc: 87.5\n",
      "454 loss: 0.45565312646060674, acc: 75.0\n",
      "455 loss: 0.4507853785981985, acc: 75.0\n",
      "456 loss: 0.505883716351744, acc: 75.0\n",
      "457 loss: 0.49820388278922256, acc: 75.0\n",
      "458 loss: 0.3909090960150012, acc: 84.375\n",
      "459 loss: 0.4535349968550093, acc: 78.125\n",
      "460 loss: 0.3843055186213601, acc: 81.25\n",
      "461 loss: 0.35151799086295754, acc: 81.25\n",
      "462 loss: 0.3703662063210019, acc: 81.25\n",
      "463 loss: 0.47254907165629845, acc: 78.125\n",
      "464 loss: 0.3924688283580381, acc: 78.125\n",
      "465 loss: 0.3590874632448724, acc: 84.375\n",
      "466 loss: 0.5196808935912596, acc: 75.0\n",
      "467 loss: 0.35963751882796713, acc: 87.5\n",
      "468 loss: 0.3064433958060192, acc: 87.5\n",
      "469 loss: 0.32444482153163207, acc: 84.375\n",
      "470 loss: 0.44280491627564705, acc: 71.875\n",
      "471 loss: 0.34419447608665077, acc: 84.375\n",
      "472 loss: 0.5168260250992162, acc: 71.875\n",
      "473 loss: 0.4595546592454327, acc: 75.0\n",
      "474 loss: 0.4228220837359048, acc: 81.25\n",
      "475 loss: 0.45434991961203236, acc: 81.25\n",
      "476 loss: 0.4885698019303646, acc: 71.875\n",
      "477 loss: 0.39782536972934385, acc: 81.25\n",
      "478 loss: 0.5347501096486972, acc: 71.875\n",
      "479 loss: 0.4659664707728183, acc: 81.25\n",
      "480 loss: 0.4571789381303087, acc: 81.25\n",
      "481 loss: 0.32799526735356366, acc: 87.5\n",
      "482 loss: 0.459593889358622, acc: 75.0\n",
      "483 loss: 0.3681166274550809, acc: 81.25\n",
      "484 loss: 0.39701486443720374, acc: 81.25\n",
      "485 loss: 0.41697225958316053, acc: 81.25\n",
      "486 loss: 0.4595402024781004, acc: 78.125\n",
      "487 loss: 0.4451528454451673, acc: 75.0\n",
      "488 loss: 0.4925044093118027, acc: 68.75\n",
      "489 loss: 0.2834113058871698, acc: 93.75\n",
      "490 loss: 0.424394176453902, acc: 78.125\n",
      "491 loss: 0.36801086444228603, acc: 81.25\n",
      "492 loss: 0.4625897720660751, acc: 75.0\n",
      "493 loss: 0.4124571124799078, acc: 81.25\n",
      "494 loss: 0.4115702389960575, acc: 81.25\n",
      "495 loss: 0.30723806295754064, acc: 87.5\n",
      "496 loss: 0.4166491803966138, acc: 75.0\n",
      "497 loss: 0.3476455880421042, acc: 84.375\n",
      "498 loss: 0.3861780850625949, acc: 81.25\n",
      "499 loss: 0.3289367870649538, acc: 87.5\n",
      "500 loss: 0.3364788347483465, acc: 84.375\n",
      "501 loss: 0.35708793663079264, acc: 81.25\n",
      "502 loss: 0.3745585844578909, acc: 81.25\n",
      "503 loss: 0.4027209785408552, acc: 78.125\n",
      "504 loss: 0.36269963573093755, acc: 84.375\n",
      "505 loss: 0.3915820611054698, acc: 84.375\n",
      "506 loss: 0.5155925458985835, acc: 68.75\n",
      "507 loss: 0.397316402589625, acc: 78.125\n",
      "508 loss: 0.3712812932413513, acc: 84.375\n",
      "509 loss: 0.48916356420073437, acc: 75.0\n",
      "510 loss: 0.32302440154833, acc: 90.625\n",
      "511 loss: 0.3163054547014682, acc: 87.5\n",
      "512 loss: 0.43913254487326425, acc: 78.125\n",
      "513 loss: 0.392184867122598, acc: 81.25\n",
      "514 loss: 0.4631936060864596, acc: 81.25\n",
      "515 loss: 0.40787487686333135, acc: 81.25\n",
      "516 loss: 0.24131507107417244, acc: 96.875\n",
      "517 loss: 0.5352864945666969, acc: 78.125\n",
      "518 loss: 0.334181965338352, acc: 87.5\n",
      "519 loss: 0.22708963888977113, acc: 93.75\n",
      "520 loss: 0.44084407068828, acc: 78.125\n",
      "521 loss: 0.27894063109903844, acc: 87.5\n",
      "522 loss: 0.348507423514978, acc: 84.375\n",
      "523 loss: 0.38340112416902333, acc: 81.25\n",
      "524 loss: 0.42188724592922033, acc: 81.25\n",
      "525 loss: 0.4069486970325019, acc: 84.375\n",
      "526 loss: 0.5110604193975508, acc: 71.875\n",
      "527 loss: 0.4287680647090403, acc: 84.375\n",
      "528 loss: 0.42084704753890834, acc: 84.375\n",
      "529 loss: 0.2697234677995607, acc: 90.625\n",
      "530 loss: 0.2984525987456587, acc: 87.5\n",
      "531 loss: 0.44566249532505386, acc: 81.25\n",
      "532 loss: 0.2575724696897758, acc: 90.625\n",
      "533 loss: 0.4152810055002568, acc: 78.125\n",
      "534 loss: 0.34045133088671153, acc: 84.375\n",
      "535 loss: 0.34252007298355835, acc: 84.375\n",
      "536 loss: 0.5230113507184757, acc: 71.875\n",
      "537 loss: 0.39601290393406907, acc: 81.25\n",
      "538 loss: 0.35608314603312474, acc: 87.5\n",
      "539 loss: 0.39623133765408647, acc: 84.375\n",
      "540 loss: 0.3249097211065229, acc: 87.5\n",
      "541 loss: 0.41786675157286923, acc: 87.5\n",
      "542 loss: 0.4135885953640007, acc: 84.375\n",
      "543 loss: 0.41117756658106736, acc: 84.375\n",
      "544 loss: 0.37997601699072076, acc: 78.125\n",
      "545 loss: 0.38070771493454136, acc: 84.375\n",
      "546 loss: 0.2412788987865624, acc: 93.75\n",
      "547 loss: 0.3689457494533084, acc: 81.25\n",
      "548 loss: 0.3643224013997579, acc: 87.5\n",
      "549 loss: 0.3557301238736983, acc: 90.625\n",
      "550 loss: 0.39803811358067515, acc: 81.25\n",
      "551 loss: 0.4209741767872781, acc: 81.25\n",
      "552 loss: 0.3967909882038343, acc: 81.25\n",
      "553 loss: 0.33479187431349683, acc: 90.625\n",
      "554 loss: 0.2996533521376568, acc: 87.5\n",
      "555 loss: 0.3255462371662346, acc: 90.625\n",
      "556 loss: 0.35623768963194813, acc: 84.375\n",
      "557 loss: 0.3851329155328349, acc: 84.375\n",
      "558 loss: 0.3913855619373082, acc: 81.25\n",
      "559 loss: 0.36950091165385546, acc: 87.5\n",
      "560 loss: 0.38456068731960225, acc: 84.375\n",
      "561 loss: 0.4019440936536916, acc: 81.25\n",
      "562 loss: 0.2837072338890392, acc: 90.625\n",
      "563 loss: 0.26954975827287336, acc: 90.625\n",
      "564 loss: 0.3898301327117494, acc: 87.5\n",
      "565 loss: 0.2249424271104611, acc: 96.875\n",
      "566 loss: 0.29919940958317826, acc: 90.625\n",
      "567 loss: 0.37527228199216445, acc: 84.375\n",
      "568 loss: 0.3499097157031703, acc: 87.5\n",
      "569 loss: 0.42092236708021236, acc: 78.125\n",
      "570 loss: 0.3627620629630109, acc: 84.375\n",
      "571 loss: 0.27157720249648265, acc: 93.75\n",
      "572 loss: 0.2975727029650514, acc: 87.5\n",
      "573 loss: 0.27597240248720545, acc: 90.625\n",
      "574 loss: 0.3822648925968518, acc: 84.375\n",
      "575 loss: 0.41154151494714186, acc: 81.25\n",
      "576 loss: 0.3452675039591523, acc: 87.5\n",
      "577 loss: 0.2986434038135931, acc: 84.375\n",
      "578 loss: 0.33884117708527506, acc: 84.375\n",
      "579 loss: 0.3211342020459401, acc: 84.375\n",
      "580 loss: 0.4335841310405778, acc: 78.125\n",
      "581 loss: 0.27056002329355433, acc: 93.75\n",
      "582 loss: 0.36566938492562595, acc: 84.375\n",
      "583 loss: 0.2548814943134628, acc: 93.75\n",
      "584 loss: 0.25216820863796224, acc: 90.625\n",
      "585 loss: 0.33518288121390716, acc: 81.25\n",
      "586 loss: 0.3612609043448033, acc: 84.375\n",
      "587 loss: 0.19942132622424757, acc: 96.875\n",
      "588 loss: 0.359266151204059, acc: 84.375\n",
      "589 loss: 0.2577188491925291, acc: 93.75\n",
      "590 loss: 0.40351851428318375, acc: 84.375\n",
      "591 loss: 0.3561846746948421, acc: 81.25\n",
      "592 loss: 0.35293587441378305, acc: 81.25\n",
      "593 loss: 0.29390587497621007, acc: 90.625\n",
      "594 loss: 0.2806495924013736, acc: 87.5\n",
      "595 loss: 0.342817300733793, acc: 84.375\n",
      "596 loss: 0.26992764533767155, acc: 90.625\n",
      "597 loss: 0.4577215770549484, acc: 75.0\n",
      "598 loss: 0.49195085655230336, acc: 71.875\n",
      "599 loss: 0.4269272360674295, acc: 81.25\n",
      "600 loss: 0.30046741874892857, acc: 90.625\n",
      "601 loss: 0.3548727258182259, acc: 84.375\n",
      "602 loss: 0.2569974272974128, acc: 96.875\n",
      "603 loss: 0.37564605035440424, acc: 81.25\n",
      "604 loss: 0.3126325953240132, acc: 87.5\n",
      "605 loss: 0.29935691578740853, acc: 84.375\n",
      "606 loss: 0.38695812059822143, acc: 78.125\n",
      "607 loss: 0.3122399387384897, acc: 84.375\n",
      "608 loss: 0.22125045580173797, acc: 93.75\n",
      "609 loss: 0.21842695145044577, acc: 96.875\n",
      "610 loss: 0.3094190774153352, acc: 87.5\n",
      "611 loss: 0.40031262625453895, acc: 78.125\n",
      "612 loss: 0.2852861824042139, acc: 87.5\n",
      "613 loss: 0.32748234326627695, acc: 87.5\n",
      "614 loss: 0.247860360334146, acc: 93.75\n",
      "615 loss: 0.4061480788083957, acc: 75.0\n",
      "616 loss: 0.2889622360619123, acc: 87.5\n",
      "617 loss: 0.3501901724616936, acc: 84.375\n",
      "618 loss: 0.5118408297877273, acc: 68.75\n",
      "619 loss: 0.32172120055623593, acc: 87.5\n",
      "620 loss: 0.4205630333760809, acc: 78.125\n",
      "621 loss: 0.32642678226483424, acc: 84.375\n",
      "622 loss: 0.2684717066506192, acc: 93.75\n",
      "623 loss: 0.39405053104140353, acc: 81.25\n",
      "624 loss: 0.3149245202229416, acc: 87.5\n",
      "625 loss: 0.2875465553456006, acc: 87.5\n",
      "626 loss: 0.4320041251204845, acc: 81.25\n",
      "627 loss: 0.2454133009147715, acc: 90.625\n",
      "628 loss: 0.3449010970096385, acc: 87.5\n",
      "629 loss: 0.265917381182096, acc: 90.625\n",
      "630 loss: 0.2830132361310363, acc: 90.625\n",
      "631 loss: 0.2961860199130998, acc: 87.5\n",
      "632 loss: 0.3180073454728496, acc: 81.25\n",
      "633 loss: 0.33172654659571643, acc: 84.375\n",
      "634 loss: 0.4000060776266504, acc: 81.25\n",
      "635 loss: 0.3526278489279316, acc: 84.375\n",
      "636 loss: 0.3282667665136887, acc: 87.5\n",
      "637 loss: 0.35851304930602623, acc: 84.375\n",
      "638 loss: 0.3272234728450239, acc: 87.5\n",
      "639 loss: 0.309402099928173, acc: 90.625\n",
      "640 loss: 0.2939293746233823, acc: 90.625\n",
      "641 loss: 0.2999459771290557, acc: 84.375\n",
      "642 loss: 0.42057987140709285, acc: 81.25\n",
      "643 loss: 0.3062457588000965, acc: 84.375\n",
      "644 loss: 0.3737960375775293, acc: 81.25\n",
      "645 loss: 0.24004130952285946, acc: 93.75\n",
      "646 loss: 0.34103727113501325, acc: 84.375\n",
      "647 loss: 0.28543971706865484, acc: 87.5\n",
      "648 loss: 0.32588750707979497, acc: 84.375\n",
      "649 loss: 0.4117339832372301, acc: 84.375\n",
      "650 loss: 0.2778034974938129, acc: 90.625\n",
      "651 loss: 0.3877920773559572, acc: 78.125\n",
      "652 loss: 0.3469303836201221, acc: 87.5\n",
      "653 loss: 0.3301584206426866, acc: 84.375\n",
      "654 loss: 0.29717590119670245, acc: 90.625\n",
      "655 loss: 0.30037010040881695, acc: 84.375\n",
      "656 loss: 0.3622386135803281, acc: 90.625\n",
      "657 loss: 0.2856184712067099, acc: 93.75\n",
      "658 loss: 0.27629032774731777, acc: 90.625\n",
      "659 loss: 0.32545244934381423, acc: 90.625\n",
      "660 loss: 0.2709088473157438, acc: 90.625\n",
      "661 loss: 0.35174040715940735, acc: 81.25\n",
      "662 loss: 0.25128889292955403, acc: 90.625\n",
      "663 loss: 0.26512664871260705, acc: 90.625\n",
      "664 loss: 0.2667719863157464, acc: 90.625\n",
      "665 loss: 0.347296729844747, acc: 84.375\n",
      "666 loss: 0.3234757354537019, acc: 81.25\n",
      "667 loss: 0.3062486820823056, acc: 87.5\n",
      "668 loss: 0.3440531361788695, acc: 84.375\n",
      "669 loss: 0.2761508244538089, acc: 87.5\n",
      "670 loss: 0.2973654420895325, acc: 84.375\n",
      "671 loss: 0.5309529022755114, acc: 65.625\n",
      "672 loss: 0.31720886635868867, acc: 87.5\n",
      "673 loss: 0.3630730743653373, acc: 78.125\n",
      "674 loss: 0.31806174511800406, acc: 84.375\n",
      "675 loss: 0.3993299783665263, acc: 81.25\n",
      "676 loss: 0.3935567439174764, acc: 78.125\n",
      "677 loss: 0.47773013512966866, acc: 71.875\n",
      "678 loss: 0.3526795023639526, acc: 84.375\n",
      "679 loss: 0.230412211891896, acc: 93.75\n",
      "680 loss: 0.2331725028949853, acc: 90.625\n",
      "681 loss: 0.20380722202513735, acc: 96.875\n",
      "682 loss: 0.2999101554243987, acc: 84.375\n",
      "683 loss: 0.22464053416421959, acc: 93.75\n",
      "684 loss: 0.3289412530699633, acc: 84.375\n",
      "685 loss: 0.29913448064668646, acc: 87.5\n",
      "686 loss: 0.2718296257603941, acc: 90.625\n",
      "687 loss: 0.35987658524316973, acc: 81.25\n",
      "688 loss: 0.247816112212204, acc: 90.625\n",
      "689 loss: 0.297614565929723, acc: 84.375\n",
      "690 loss: 0.3392701803886235, acc: 84.375\n",
      "691 loss: 0.2569611146028777, acc: 93.75\n",
      "692 loss: 0.30055593351746873, acc: 87.5\n",
      "693 loss: 0.28596092441119764, acc: 84.375\n",
      "694 loss: 0.28883882926405086, acc: 84.375\n",
      "695 loss: 0.2862588303827777, acc: 87.5\n",
      "696 loss: 0.25206682703824446, acc: 90.625\n",
      "697 loss: 0.49197990070923237, acc: 71.875\n",
      "698 loss: 0.272139979194156, acc: 87.5\n",
      "699 loss: 0.24165503209861794, acc: 87.5\n",
      "700 loss: 0.36482719960122584, acc: 81.25\n",
      "701 loss: 0.2696865281963935, acc: 87.5\n",
      "702 loss: 0.31211718879631045, acc: 87.5\n",
      "703 loss: 0.3344074340142352, acc: 84.375\n",
      "704 loss: 0.31617641581117084, acc: 84.375\n",
      "705 loss: 0.2948041876080123, acc: 87.5\n",
      "706 loss: 0.3121804064382149, acc: 81.25\n",
      "707 loss: 0.25046872091241623, acc: 90.625\n",
      "708 loss: 0.41580698098427543, acc: 78.125\n",
      "709 loss: 0.18311115599157635, acc: 96.875\n",
      "710 loss: 0.3414097673844315, acc: 84.375\n",
      "711 loss: 0.2772693096289761, acc: 87.5\n",
      "712 loss: 0.25750668761070994, acc: 87.5\n",
      "713 loss: 0.1845599769272758, acc: 96.875\n",
      "714 loss: 0.2715082005805124, acc: 84.375\n",
      "715 loss: 0.2992857515060155, acc: 87.5\n",
      "716 loss: 0.3155665690188951, acc: 84.375\n",
      "717 loss: 0.2511847270297678, acc: 87.5\n",
      "718 loss: 0.24034193690579458, acc: 90.625\n",
      "719 loss: 0.3061942435681725, acc: 84.375\n",
      "720 loss: 0.20274965889450686, acc: 93.75\n",
      "721 loss: 0.23098718135913038, acc: 93.75\n",
      "722 loss: 0.3534451965652397, acc: 81.25\n",
      "723 loss: 0.28973589897366725, acc: 90.625\n",
      "724 loss: 0.34260881678359467, acc: 87.5\n",
      "725 loss: 0.2554542679804549, acc: 87.5\n",
      "726 loss: 0.4348691535111425, acc: 78.125\n",
      "727 loss: 0.2148399648486377, acc: 93.75\n",
      "728 loss: 0.3311357299394354, acc: 81.25\n",
      "729 loss: 0.3450901290929643, acc: 84.375\n",
      "730 loss: 0.3251755800288164, acc: 84.375\n",
      "731 loss: 0.25875012924694896, acc: 87.5\n",
      "732 loss: 0.3577603022165723, acc: 84.375\n",
      "733 loss: 0.38352203603382107, acc: 81.25\n",
      "734 loss: 0.2940782422192116, acc: 87.5\n",
      "735 loss: 0.37800640895793997, acc: 78.125\n",
      "736 loss: 0.366416166867473, acc: 81.25\n",
      "737 loss: 0.308617257286674, acc: 87.5\n",
      "738 loss: 0.16572169340999254, acc: 96.875\n",
      "739 loss: 0.29439986171548543, acc: 87.5\n",
      "740 loss: 0.3407626689178339, acc: 84.375\n",
      "741 loss: 0.23088888830546098, acc: 90.625\n",
      "742 loss: 0.35565438970391616, acc: 84.375\n",
      "743 loss: 0.3058511578233767, acc: 84.375\n",
      "744 loss: 0.23603805176216264, acc: 90.625\n",
      "745 loss: 0.2298934416810503, acc: 93.75\n",
      "746 loss: 0.21296819981735432, acc: 90.625\n",
      "747 loss: 0.2466339512935749, acc: 90.625\n",
      "748 loss: 0.19340836159600722, acc: 93.75\n",
      "749 loss: 0.25112879862217113, acc: 87.5\n",
      "750 loss: 0.3198024984658682, acc: 81.25\n",
      "751 loss: 0.23131546503123618, acc: 90.625\n",
      "752 loss: 0.4082466825430116, acc: 75.0\n",
      "753 loss: 0.22850145814744918, acc: 87.5\n",
      "754 loss: 0.38588720205168425, acc: 81.25\n",
      "755 loss: 0.29003604249817105, acc: 84.375\n",
      "756 loss: 0.27127229416617593, acc: 87.5\n",
      "757 loss: 0.25451105832844956, acc: 87.5\n",
      "758 loss: 0.18642214649241026, acc: 93.75\n",
      "759 loss: 0.3120583253551156, acc: 87.5\n",
      "760 loss: 0.3476311317881888, acc: 81.25\n",
      "761 loss: 0.33094716275116953, acc: 84.375\n",
      "762 loss: 0.31460678781631957, acc: 84.375\n",
      "763 loss: 0.24495100577877765, acc: 90.625\n",
      "764 loss: 0.2381894157045389, acc: 90.625\n",
      "765 loss: 0.24344090890082565, acc: 87.5\n",
      "766 loss: 0.2325908759912343, acc: 90.625\n",
      "767 loss: 0.24099156801922306, acc: 93.75\n",
      "768 loss: 0.21060391136796336, acc: 90.625\n",
      "769 loss: 0.21460353248625882, acc: 96.875\n",
      "770 loss: 0.29696963576596686, acc: 84.375\n",
      "771 loss: 0.293363198464898, acc: 90.625\n",
      "772 loss: 0.21901612525951358, acc: 93.75\n",
      "773 loss: 0.22341261621863767, acc: 90.625\n",
      "774 loss: 0.31251363783345487, acc: 90.625\n",
      "775 loss: 0.2785077550228826, acc: 87.5\n",
      "776 loss: 0.38053837798435575, acc: 81.25\n",
      "777 loss: 0.1618396930355609, acc: 100.0\n",
      "778 loss: 0.24801409289323684, acc: 90.625\n",
      "779 loss: 0.31212473298686205, acc: 87.5\n",
      "780 loss: 0.32403738355986494, acc: 84.375\n",
      "781 loss: 0.30126581649277756, acc: 87.5\n",
      "782 loss: 0.3600230870299837, acc: 84.375\n",
      "783 loss: 0.2799048561503438, acc: 87.5\n",
      "784 loss: 0.32097699660424645, acc: 87.5\n",
      "785 loss: 0.2610272532477009, acc: 87.5\n",
      "786 loss: 0.30896742835020796, acc: 87.5\n",
      "787 loss: 0.23322169170064241, acc: 90.625\n",
      "788 loss: 0.3386323978700412, acc: 87.5\n",
      "789 loss: 0.28364630562804255, acc: 90.625\n",
      "790 loss: 0.21356837478615326, acc: 93.75\n",
      "791 loss: 0.23008612444674822, acc: 93.75\n",
      "792 loss: 0.28779925543910756, acc: 84.375\n",
      "793 loss: 0.2829597143154557, acc: 90.625\n",
      "794 loss: 0.24540162902183366, acc: 96.875\n",
      "795 loss: 0.32798901729441976, acc: 90.625\n",
      "796 loss: 0.3327795009394522, acc: 84.375\n",
      "797 loss: 0.23046744361446392, acc: 90.625\n",
      "798 loss: 0.3215479680443445, acc: 87.5\n",
      "799 loss: 0.3460417601708152, acc: 84.375\n",
      "800 loss: 0.308490645898846, acc: 87.5\n",
      "801 loss: 0.30295134382121924, acc: 87.5\n",
      "802 loss: 0.17719029828646043, acc: 100.0\n",
      "803 loss: 0.25421977455989514, acc: 90.625\n",
      "804 loss: 0.16897523868672581, acc: 96.875\n",
      "805 loss: 0.41360848223999824, acc: 78.125\n",
      "806 loss: 0.2059249602976039, acc: 93.75\n",
      "807 loss: 0.2946206632536177, acc: 87.5\n",
      "808 loss: 0.22882616950312312, acc: 90.625\n",
      "809 loss: 0.23108440587916174, acc: 93.75\n",
      "810 loss: 0.31979729181472244, acc: 84.375\n",
      "811 loss: 0.25021015438247596, acc: 93.75\n",
      "812 loss: 0.274288847059576, acc: 90.625\n",
      "813 loss: 0.2789301234901773, acc: 87.5\n",
      "814 loss: 0.26121792093117346, acc: 90.625\n",
      "815 loss: 0.22864924190708744, acc: 90.625\n",
      "816 loss: 0.24762920084995954, acc: 93.75\n",
      "817 loss: 0.23991630450595663, acc: 87.5\n",
      "818 loss: 0.3625801303273042, acc: 81.25\n",
      "819 loss: 0.2886285671405238, acc: 87.5\n",
      "820 loss: 0.3267562309684431, acc: 87.5\n",
      "821 loss: 0.3215971140113626, acc: 87.5\n",
      "822 loss: 0.23322304349451103, acc: 93.75\n",
      "823 loss: 0.2387963331675987, acc: 90.625\n",
      "824 loss: 0.2733274385775083, acc: 87.5\n",
      "825 loss: 0.4042176360295029, acc: 78.125\n",
      "826 loss: 0.30944615172298806, acc: 87.5\n",
      "827 loss: 0.25225451330659826, acc: 87.5\n",
      "828 loss: 0.200426267624847, acc: 96.875\n",
      "829 loss: 0.286141986872631, acc: 90.625\n",
      "830 loss: 0.26355928234594606, acc: 87.5\n",
      "831 loss: 0.2388252235964853, acc: 90.625\n",
      "832 loss: 0.2464142586682456, acc: 93.75\n",
      "833 loss: 0.27945807190917815, acc: 90.625\n",
      "834 loss: 0.31932093123662497, acc: 84.375\n",
      "835 loss: 0.20357827358414776, acc: 93.75\n",
      "836 loss: 0.2970846081984531, acc: 87.5\n",
      "837 loss: 0.2053883472277659, acc: 96.875\n",
      "838 loss: 0.22403318040308906, acc: 90.625\n",
      "839 loss: 0.3098579776276673, acc: 84.375\n",
      "840 loss: 0.292029234478026, acc: 87.5\n",
      "841 loss: 0.25616949059301397, acc: 87.5\n",
      "842 loss: 0.2795101630166752, acc: 90.625\n",
      "843 loss: 0.2939786094206246, acc: 87.5\n",
      "844 loss: 0.3334190649673516, acc: 81.25\n",
      "845 loss: 0.34737656393248045, acc: 81.25\n",
      "846 loss: 0.2351946641740646, acc: 87.5\n",
      "847 loss: 0.3084538305859867, acc: 84.375\n",
      "848 loss: 0.26869719966591865, acc: 90.625\n",
      "849 loss: 0.3277747325563669, acc: 84.375\n",
      "850 loss: 0.28236188529723805, acc: 87.5\n",
      "851 loss: 0.339318871028192, acc: 84.375\n",
      "852 loss: 0.24529635131464061, acc: 90.625\n",
      "853 loss: 0.2811433687066556, acc: 90.625\n",
      "854 loss: 0.20832150146153755, acc: 93.75\n",
      "855 loss: 0.1650022836347373, acc: 96.875\n",
      "856 loss: 0.1664229808419509, acc: 96.875\n",
      "857 loss: 0.33470586707101546, acc: 84.375\n",
      "858 loss: 0.20919106076401103, acc: 93.75\n",
      "859 loss: 0.27515682396966423, acc: 84.375\n",
      "860 loss: 0.30070730678988267, acc: 84.375\n",
      "861 loss: 0.28198652522668055, acc: 87.5\n",
      "862 loss: 0.28122860166929115, acc: 87.5\n",
      "863 loss: 0.2723298977172077, acc: 90.625\n",
      "864 loss: 0.28081164599652975, acc: 87.5\n",
      "865 loss: 0.3217465881007546, acc: 84.375\n",
      "866 loss: 0.2806632901759992, acc: 90.625\n",
      "867 loss: 0.36029850059635155, acc: 78.125\n",
      "868 loss: 0.1698679031143556, acc: 93.75\n",
      "869 loss: 0.33349345874460257, acc: 84.375\n",
      "870 loss: 0.25421861175167315, acc: 87.5\n",
      "871 loss: 0.28896579587016447, acc: 87.5\n",
      "872 loss: 0.28937552929601495, acc: 87.5\n",
      "873 loss: 0.29628805158527005, acc: 84.375\n",
      "874 loss: 0.24312581873052486, acc: 90.625\n",
      "875 loss: 0.2655212808617772, acc: 87.5\n",
      "876 loss: 0.2193887062220301, acc: 93.75\n",
      "877 loss: 0.2530790883329962, acc: 90.625\n",
      "878 loss: 0.2873068902155937, acc: 87.5\n",
      "879 loss: 0.3069527311490881, acc: 84.375\n",
      "880 loss: 0.2773674953567764, acc: 84.375\n",
      "881 loss: 0.3326691349949651, acc: 84.375\n",
      "882 loss: 0.2357570558806463, acc: 90.625\n",
      "883 loss: 0.29857904390363377, acc: 87.5\n",
      "884 loss: 0.3527476519781326, acc: 81.25\n",
      "885 loss: 0.34512498882062703, acc: 78.125\n",
      "886 loss: 0.29858035842566205, acc: 84.375\n",
      "887 loss: 0.2702164087238614, acc: 87.5\n",
      "888 loss: 0.2265971553229278, acc: 93.75\n",
      "889 loss: 0.35314690512177815, acc: 81.25\n",
      "890 loss: 0.21095171995795567, acc: 93.75\n",
      "891 loss: 0.26302363763059594, acc: 87.5\n",
      "892 loss: 0.2186409499037038, acc: 93.75\n",
      "893 loss: 0.24927836794504266, acc: 90.625\n",
      "894 loss: 0.19390089315554526, acc: 93.75\n",
      "895 loss: 0.3438807631216498, acc: 84.375\n",
      "896 loss: 0.2284643659974972, acc: 93.75\n",
      "897 loss: 0.2671780475543988, acc: 90.625\n",
      "898 loss: 0.2091426338370783, acc: 93.75\n",
      "899 loss: 0.21256224784677116, acc: 93.75\n",
      "900 loss: 0.3156780920503388, acc: 87.5\n",
      "901 loss: 0.22508152283324245, acc: 93.75\n",
      "902 loss: 0.1893207147361877, acc: 93.75\n",
      "903 loss: 0.26057787481296324, acc: 87.5\n",
      "904 loss: 0.22302107453428124, acc: 90.625\n",
      "905 loss: 0.2667268910045592, acc: 87.5\n",
      "906 loss: 0.27709234899632684, acc: 87.5\n",
      "907 loss: 0.29206175001345847, acc: 87.5\n",
      "908 loss: 0.20114058767495074, acc: 96.875\n",
      "909 loss: 0.3329407687529846, acc: 78.125\n",
      "910 loss: 0.20771197863464083, acc: 93.75\n",
      "911 loss: 0.27395646972543386, acc: 90.625\n",
      "912 loss: 0.33325765841153976, acc: 78.125\n",
      "913 loss: 0.24332083455209996, acc: 90.625\n",
      "914 loss: 0.3379159792742122, acc: 81.25\n",
      "915 loss: 0.3031373409305214, acc: 84.375\n",
      "916 loss: 0.2669741669353699, acc: 90.625\n",
      "917 loss: 0.21152159630376705, acc: 90.625\n",
      "918 loss: 0.2437796587246268, acc: 90.625\n",
      "919 loss: 0.25098804234972866, acc: 90.625\n",
      "920 loss: 0.22485374351919063, acc: 93.75\n",
      "921 loss: 0.216446108798104, acc: 90.625\n",
      "922 loss: 0.20425428418176453, acc: 93.75\n",
      "923 loss: 0.1871173987480398, acc: 93.75\n",
      "924 loss: 0.23721059511009834, acc: 90.625\n",
      "925 loss: 0.2651406764068829, acc: 87.5\n",
      "926 loss: 0.3211605800888438, acc: 84.375\n",
      "927 loss: 0.2568910005344256, acc: 87.5\n",
      "928 loss: 0.23284776019160852, acc: 90.625\n",
      "929 loss: 0.26506873408140236, acc: 87.5\n",
      "930 loss: 0.2733960034741947, acc: 87.5\n",
      "931 loss: 0.2767698156094124, acc: 84.375\n",
      "932 loss: 0.3074042626096882, acc: 84.375\n",
      "933 loss: 0.2864025476026753, acc: 87.5\n",
      "934 loss: 0.20165780924403076, acc: 93.75\n",
      "935 loss: 0.18728555894337198, acc: 93.75\n",
      "936 loss: 0.17183191739997325, acc: 96.875\n",
      "937 loss: 0.28745469606737123, acc: 87.5\n",
      "938 loss: 0.22735641124083422, acc: 87.5\n",
      "939 loss: 0.17502304146447434, acc: 96.875\n",
      "940 loss: 0.280019823804049, acc: 87.5\n",
      "941 loss: 0.15581730194970836, acc: 96.875\n",
      "942 loss: 0.24968819518764138, acc: 90.625\n",
      "943 loss: 0.21593451100182398, acc: 93.75\n",
      "944 loss: 0.23442316536157556, acc: 87.5\n",
      "945 loss: 0.2014270206006048, acc: 96.875\n",
      "946 loss: 0.35165921619132845, acc: 78.125\n",
      "947 loss: 0.30671953382474426, acc: 81.25\n",
      "948 loss: 0.20406643731814506, acc: 93.75\n",
      "949 loss: 0.2781762076156512, acc: 90.625\n",
      "950 loss: 0.24644018458089137, acc: 90.625\n",
      "951 loss: 0.2342189987998729, acc: 93.75\n",
      "952 loss: 0.23232553878017986, acc: 90.625\n",
      "953 loss: 0.25856739870906686, acc: 87.5\n",
      "954 loss: 0.2627493174674942, acc: 87.5\n",
      "955 loss: 0.24696530476340128, acc: 87.5\n",
      "956 loss: 0.20173460154701156, acc: 90.625\n",
      "957 loss: 0.2760685432564576, acc: 81.25\n",
      "958 loss: 0.3094107314584303, acc: 87.5\n",
      "959 loss: 0.24563718836351994, acc: 93.75\n",
      "960 loss: 0.2134311305297241, acc: 90.625\n",
      "961 loss: 0.24652656425717637, acc: 87.5\n",
      "962 loss: 0.2678893842838224, acc: 90.625\n",
      "963 loss: 0.2430946478448357, acc: 93.75\n",
      "964 loss: 0.20809204626393124, acc: 90.625\n",
      "965 loss: 0.25806617752247074, acc: 87.5\n",
      "966 loss: 0.29033627681405144, acc: 87.5\n",
      "967 loss: 0.2474877040097388, acc: 90.625\n",
      "968 loss: 0.2688107072429027, acc: 87.5\n",
      "969 loss: 0.267795599783195, acc: 87.5\n",
      "970 loss: 0.24216188247334258, acc: 87.5\n",
      "971 loss: 0.21618859637560006, acc: 90.625\n",
      "972 loss: 0.26183839373759543, acc: 90.625\n",
      "973 loss: 0.31832694567175474, acc: 84.375\n",
      "974 loss: 0.2193710080575978, acc: 90.625\n",
      "975 loss: 0.2507701414240392, acc: 87.5\n",
      "976 loss: 0.17735704640272804, acc: 93.75\n",
      "977 loss: 0.2562658816505906, acc: 90.625\n",
      "978 loss: 0.29351639017941533, acc: 87.5\n",
      "979 loss: 0.2373045009119745, acc: 90.625\n",
      "980 loss: 0.2948270227940402, acc: 87.5\n",
      "981 loss: 0.13777775523392155, acc: 96.875\n",
      "982 loss: 0.29176323485232886, acc: 87.5\n",
      "983 loss: 0.2607032374094935, acc: 90.625\n",
      "984 loss: 0.2652301240342754, acc: 87.5\n",
      "985 loss: 0.18229995277970554, acc: 96.875\n",
      "986 loss: 0.22558136015793648, acc: 87.5\n",
      "987 loss: 0.19505683664934045, acc: 90.625\n",
      "988 loss: 0.25831142349731484, acc: 90.625\n",
      "989 loss: 0.20466511918953864, acc: 90.625\n",
      "990 loss: 0.22635323360414195, acc: 90.625\n",
      "991 loss: 0.24940627803669957, acc: 90.625\n",
      "992 loss: 0.2424186666492213, acc: 90.625\n",
      "993 loss: 0.24722122747206604, acc: 93.75\n",
      "994 loss: 0.3013710170073483, acc: 84.375\n",
      "995 loss: 0.26843687756820533, acc: 87.5\n",
      "996 loss: 0.23631612065908886, acc: 90.625\n",
      "997 loss: 0.2771881039636388, acc: 87.5\n",
      "998 loss: 0.20714989058918581, acc: 93.75\n",
      "999 loss: 0.18231813968699787, acc: 93.75\n"
     ]
    }
   ],
   "source": [
    "lr = 0.001\n",
    "batch_size = 32\n",
    "alpha = 1e-4\n",
    "loss_hist = []\n",
    "acc_hist = []\n",
    "\n",
    "for k in range(1000):\n",
    "    ri = np.random.permutation(X.shape[0])[:batch_size]\n",
    "    x_batch, y_batch = Tensor(X[ri, :]), Tensor(y[ri, :])\n",
    "    model.zero_grad()\n",
    "    y_pred = model(x_batch)\n",
    "    # loss = max_margin_loss_func(y_batch, y_pred)\n",
    "    loss = bce_loss_func(y_batch, y_pred)\n",
    "    # loss = mse_loss_func(y_batch, y_pred)\n",
    "    reg = alpha*sum((p*p).sum() for p in model.parameters())\n",
    "    acc = np.sum((y_pred.data > 0.5) == y_batch.data) / y_batch.shape[0]\n",
    "    # acc = np.sum((y_pred.data > 0) == (y_batch.data > 0)) / y_batch.shape[0]\n",
    "    (loss + reg).backward()\n",
    "    # (loss).backward()\n",
    "\n",
    "    loss_hist.append(loss.data)\n",
    "    acc_hist.append(acc)\n",
    "\n",
    "    for p in model.parameters():\n",
    "        # print(p.label, np.linalg.norm(p.grad))\n",
    "        p.data -= lr*p.grad\n",
    "\n",
    "    print(f\"{k:03} loss: {loss.data}, acc: {acc*100}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.inspection import DecisionBoundaryDisplay\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(-2.5, 2.5, 30), np.linspace(-2.5, 2.5, 30))\n",
    "grid = np.vstack([xx.ravel(), yy.ravel()]).T\n",
    "grid_tensor = Tensor(grid)\n",
    "y_pred = model(grid_tensor)\n",
    "\n",
    "display = DecisionBoundaryDisplay(xx0=xx, xx1=yy, response=np.reshape(y_pred.data, xx.shape))\n",
    "display.plot()\n",
    "\n",
    "display.ax_.scatter(\n",
    "    X[:, 0], X[:, 1], c=y, edgecolor=\"black\"\n",
    ")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(loss_hist)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(acc_hist)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "model-based",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}