8 - Multiple dispatch.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiple dispatch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we'll explore **multiple dispatch**, which is a key feature of Julia.\n",
    "\n",
    "Multiple dispatch makes software *generic* and *fast*!\n",
    "\n",
    "#### Starting with the familiar\n",
    "\n",
    "To understand multiple dispatch in Julia, let's start with what we've already seen.\n",
    "\n",
    "We can declare functions in Julia without giving Julia any information about the types of the input arguments that function will receive:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "f (generic function with 1 method)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(x) = x.^2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and then Julia will determine on its own which input argument types make sense and which do not:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Int64}:\n",
       " 1\n",
       " 4\n",
       " 9"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f([1, 2, 3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Specifying the types of our input arguments\n",
    "\n",
    "However, we also have the *option* to tell Julia explicitly what types our input arguments are allowed to have.\n",
    "\n",
    "For example, let's write a function `foo` that only takes strings as inputs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "foo (generic function with 1 method)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(x::String, y::String) = println(\"My inputs x and y are both strings!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see here that in order to restrict the type of `x` and `y` to `String`s, we just follow the input argument name by a double colon and the keyword `String`.\n",
    "\n",
    "Now we'll see that `foo` works on `String`s and doesn't work on other input argument types."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "My inputs x and y are both strings!\n"
     ]
    }
   ],
   "source": [
    "foo(\"hello\", \"hi!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "MethodError: no method matching foo(::Int64, ::Int64)",
     "output_type": "error",
     "traceback": [
      "MethodError: no method matching foo(::Int64, ::Int64)",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[27]:1"
     ]
    }
   ],
   "source": [
    "foo(3, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get `foo` to work on integer (`Int`) inputs, let's tack `::Int` onto our input arguments when we declare `foo`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "foo (generic function with 2 methods)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(x::Int, y::Int) = println(\"My inputs x and y are both integers!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "My inputs x and y are both integers!\n"
     ]
    }
   ],
   "source": [
    "foo(3, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now `foo` works on integers! But look, `foo` also still works when `x` and `y` are strings!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "My inputs x and y are both strings!\n"
     ]
    }
   ],
   "source": [
    "foo(\"hello\", \"hi!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is starting to get to the heart of multiple dispatch. When we declared\n",
    "\n",
    "```julia\n",
    "foo(x::Int, y::Int) = println(\"My inputs x and y are both integers!\")\n",
    "```\n",
    "we didn't overwrite or replace\n",
    "```julia\n",
    "foo(x::String, y::String)\n",
    "```\n",
    "Instead, we just added an additional ***method*** to the ***generic function*** called `foo`.\n",
    "\n",
    "A ***generic function*** is the abstract concept associated with a particular operation.\n",
    "\n",
    "For example, the generic function `+` represents the concept of addition.\n",
    "\n",
    "A ***method*** is a specific implementation of a generic function for *particular argument types*.\n",
    "\n",
    "For example, `+` has methods that accept floating point numbers, integers, matrices, etc.\n",
    "\n",
    "We can use the `methods` to see how many methods there are for `foo`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "# 2 methods for generic function <b>foo</b> from \u001b[35mMain\u001b[39m:<ul><li> foo(x::<b>String</b>, y::<b>String</b>) in Main at In[25]:1</li> <li> foo(x::<b>Int64</b>, y::<b>Int64</b>) in Main at In[28]:1</li> </ul>"
      ],
      "text/plain": [
       "# 2 methods for generic function \"foo\" from \u001b[35mMain\u001b[39m:\n",
       " [1] foo(\u001b[90mx\u001b[39m::\u001b[1mString\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mString\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mIn[25]:1\u001b[24m\u001b[39m\n",
       " [2] foo(\u001b[90mx\u001b[39m::\u001b[1mInt64\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mInt64\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mIn[28]:1\u001b[24m\u001b[39m"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "methods(foo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Aside: how many methods do you think there are for addition?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "# 207 methods for generic function <b>+</b> from \u001b[90mBase\u001b[39m:<ul><li> +(x::<b>T</b>, y::<b>T</b>)<i> where T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/int.jl#L87\" target=\"_blank\">int.jl:87</a></li> <li> +(x::<b>T</b>, y::<b>T</b>)<i> where T<:Union{Float16, Float32, Float64}</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/float.jl#L408\" target=\"_blank\">float.jl:408</a></li> <li> +(c::<b>Union{UInt16, UInt32, UInt64, UInt8}</b>, x::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L539\" target=\"_blank\">gmp.jl:539</a></li> <li> +(c::<b>Union{Int16, Int32, Int64, Int8}</b>, x::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L545\" target=\"_blank\">gmp.jl:545</a></li> <li> +(c::<b>Union{UInt16, UInt32, UInt64, UInt8}</b>, x::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L407\" target=\"_blank\">mpfr.jl:407</a></li> <li> +(c::<b>Union{Int16, Int32, Int64, Int8}</b>, x::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L415\" target=\"_blank\">mpfr.jl:415</a></li> <li> +(c::<b>Union{Float16, Float32, Float64}</b>, x::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L423\" target=\"_blank\">mpfr.jl:423</a></li> <li> +(x::<b>Union{Dates.CompoundPeriod, Dates.Period}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:342</a></li> <li> +(A::<b>LinearAlgebra.LowerTriangular</b>, B::<b>LinearAlgebra.LowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:643</a></li> <li> +(A::<b>LinearAlgebra.LowerTriangular</b>, B::<b>LinearAlgebra.UnitLowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:645</a></li> <li> +(A::<b>LinearAlgebra.LowerTriangular</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:91</a></li> <li> +(r1::<b>LinRange{T}</b>, r2::<b>LinRange{T}</b>)<i> where T</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/range.jl#L1435\" target=\"_blank\">range.jl:1435</a></li> <li> +(x::<b>P</b>, y::<b>P</b>)<i> where P<:Dates.Period</i> in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:75</a></li> <li> +(x::<b>Dates.Period</b>, y::<b>Dates.Period</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:331</a></li> <li> +(y::<b>Dates.Period</b>, x::<b>Dates.CompoundPeriod</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:333</a></li> <li> +(y::<b>Dates.Period</b>, x::<b>Dates.TimeType</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:85</a></li> <li> +(x::<b>Dates.Period</b>, r::<b>AbstractRange{<:Dates.TimeType}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/ranges.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/ranges.jl:64</a></li> <li> +(y::<b>Union{Dates.CompoundPeriod, Dates.Period}</b>, x::<b>AbstractArray{<:Dates.TimeType}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:14</a></li> <li> +(A::<b>LinearAlgebra.Tridiagonal</b>, B::<b>LinearAlgebra.Tridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/tridiag.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/tridiag.jl:754</a></li> <li> +(x::<b>LinearAlgebra.Tridiagonal</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.Tridiagonal</b>, B::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:162</a></li> <li> +(A::<b>LinearAlgebra.Tridiagonal</b>, B::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:178</a></li> <li> +(A::<b>LinearAlgebra.Tridiagonal</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:198</a></li> <li> +(A::<b>LinearAlgebra.Tridiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>, B::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:231</a></li> <li> +(F::<b>LinearAlgebra.Hessenberg</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:647</a></li> <li> +(A::<b>LinearAlgebra.Symmetric</b>, B::<b>LinearAlgebra.Symmetric</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:469</a></li> <li> +(A::<b>LinearAlgebra.Symmetric</b>, B::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:486</a></li> <li> +(S::<b>LinearAlgebra.Symmetric</b>, D::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl:191</a></li> <li> +(A::<b>LinearAlgebra.Symmetric{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>SparseArrays.AbstractSparseMatrix</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:15</a></li> <li> +(A::<b>LinearAlgebra.Symmetric</b>, B::<b>SparseArrays.AbstractSparseMatrix</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:18</a></li> <li> +(A::<b>LinearAlgebra.Symmetric{<:Real, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:25</a></li> <li> +(A::<b>LinearAlgebra.Symmetric{var\"#s969\", S} where {var\"#s969\"<:Real, S<:(AbstractMatrix{<:var\"#s969\"})}</b>, B::<b>LinearAlgebra.Hermitian</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:484</a></li> <li> +(A::<b>LinearAlgebra.Symmetric{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:23</a></li> <li> +(A::<b>LinearAlgebra.UnitLowerTriangular</b>, B::<b>LinearAlgebra.LowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:647</a></li> <li> +(A::<b>LinearAlgebra.UnitLowerTriangular</b>, B::<b>LinearAlgebra.UnitLowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:649</a></li> <li> +(UL::<b>LinearAlgebra.UnitLowerTriangular</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:181</a></li> <li> +(A::<b>LinearAlgebra.UnitLowerTriangular</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:91</a></li> <li> +(Da::<b>LinearAlgebra.Diagonal</b>, Db::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl:184</a></li> <li> +(D::<b>LinearAlgebra.Diagonal</b>, S::<b>LinearAlgebra.Symmetric</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl:188</a></li> <li> +(D::<b>LinearAlgebra.Diagonal{var\"#s970\", V} where {var\"#s970\"<:Real, V<:AbstractVector{var\"#s970\"}}</b>, H::<b>LinearAlgebra.Hermitian</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl:194</a></li> <li> +(x::<b>LinearAlgebra.Diagonal</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.Diagonal</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:130</a></li> <li> +(A::<b>LinearAlgebra.Diagonal</b>, B::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:140</a></li> <li> +(A::<b>LinearAlgebra.Diagonal</b>, B::<b>LinearAlgebra.Tridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:168</a></li> <li> +(A::<b>LinearAlgebra.Diagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>, B::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:246</a></li> <li> +(x::<b>Rational</b>, y::<b>Integer</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/rational.jl#L327\" target=\"_blank\">rational.jl:327</a></li> <li> +(x::<b>Base.TwicePrecision</b>, y::<b>Number</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/twiceprecision.jl#L290\" target=\"_blank\">twiceprecision.jl:290</a></li> <li> +(x::<b>Base.TwicePrecision{T}</b>, y::<b>Base.TwicePrecision{T}</b>)<i> where T</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/twiceprecision.jl#L296\" target=\"_blank\">twiceprecision.jl:296</a></li> <li> +(x::<b>Base.TwicePrecision</b>, y::<b>Base.TwicePrecision</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/twiceprecision.jl#L301\" target=\"_blank\">twiceprecision.jl:301</a></li> <li> +(r1::<b>StepRangeLen{T, R}</b>, r2::<b>StepRangeLen{T, R}</b>)<i> where {R<:Base.TwicePrecision, T}</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/twiceprecision.jl#L628\" target=\"_blank\">twiceprecision.jl:628</a></li> <li> +(r1::<b>StepRangeLen{T, S}</b>, r2::<b>StepRangeLen{T, S}</b>)<i> where {T, S}</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/range.jl#L1451\" target=\"_blank\">range.jl:1451</a></li> <li> +(x::<b>Dates.Instant</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:4</a></li> <li> +(r::<b>AbstractRange{<:Dates.TimeType}</b>, x::<b>Dates.Period</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/ranges.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/ranges.jl:65</a></li> <li> +(x::<b>AbstractArray{<:Dates.TimeType}</b>, y::<b>Union{Dates.CompoundPeriod, Dates.Period}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:6</a></li> <li> +(y::<b>Dates.TimeType</b>, x::<b>StridedArray{<:Union{Dates.CompoundPeriod, Dates.Period}}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:18</a></li> <li> +(A::<b>LinearAlgebra.UnitUpperTriangular</b>, B::<b>LinearAlgebra.UpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:646</a></li> <li> +(A::<b>LinearAlgebra.UnitUpperTriangular</b>, B::<b>LinearAlgebra.UnitUpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:648</a></li> <li> +(UL::<b>LinearAlgebra.UnitUpperTriangular</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:181</a></li> <li> +(x::<b>LinearAlgebra.UnitUpperTriangular</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.UnitUpperTriangular</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:91</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:149</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling</b>, x::<b>Number</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:144</a></li> <li> +(J1::<b>LinearAlgebra.UniformScaling</b>, J2::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:150</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling</b>, B::<b>BitMatrix</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:152</a></li> <li> +(x::<b>LinearAlgebra.UniformScaling</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling</b>, F::<b>LinearAlgebra.Hessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:648</a></li> <li> +(A::<b>LinearAlgebra.UniformScaling</b>, B::<b>LinearAlgebra.Tridiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:250</a></li> <li> +(A::<b>LinearAlgebra.UniformScaling</b>, B::<b>LinearAlgebra.SymTridiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:255</a></li> <li> +(A::<b>LinearAlgebra.UniformScaling</b>, B::<b>LinearAlgebra.Bidiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:260</a></li> <li> +(A::<b>LinearAlgebra.UniformScaling</b>, B::<b>LinearAlgebra.Diagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:265</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling{T}</b>, A::<b>SparseArrays.AbstractSparseMatrixCSC{Tv, Ti}</b>)<i> where {T<:Number, Tv, Ti}</i> in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl:4100</a></li> <li> +(J::<b>LinearAlgebra.UniformScaling</b>, A::<b>AbstractMatrix</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:153</a></li> <li> +(y::<b>AbstractFloat</b>, x::<b>Bool</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/bool.jl#L176\" target=\"_blank\">bool.jl:176</a></li> <li> +(x::<b>AbstractIrrational</b>, y::<b>AbstractIrrational</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/irrationals.jl#L161\" target=\"_blank\">irrationals.jl:161</a></li> <li> +(index1::<b>CartesianIndex{N}</b>, index2::<b>CartesianIndex{N}</b>)<i> where N</i> in Base.IteratorsMD at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/multidimensional.jl#L111\" target=\"_blank\">multidimensional.jl:111</a></li> <li> +(x::<b>T</b>, y::<b>Integer</b>)<i> where T<:AbstractChar</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/char.jl#L237\" target=\"_blank\">char.jl:237</a></li> <li> +(z::<b>Complex</b>, w::<b>Complex</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L291\" target=\"_blank\">complex.jl:291</a></li> <li> +(r1::<b>OrdinalRange</b>, r2::<b>OrdinalRange</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/range.jl#L1428\" target=\"_blank\">range.jl:1428</a></li> <li> +(r1::<b>Union{LinRange, OrdinalRange, StepRangeLen}</b>, r2::<b>Union{LinRange, OrdinalRange, StepRangeLen}</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/range.jl#L1444\" target=\"_blank\">range.jl:1444</a></li> <li> +(x::<b>Ptr</b>, y::<b>Integer</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/pointer.jl#L167\" target=\"_blank\">pointer.jl:167</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrixCSC</b>, B::<b>SparseArrays.AbstractSparseMatrixCSC</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl:2065</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrixCSC</b>, B::<b>Array</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl:2068</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrixCSC{Tv, Ti}</b>, J::<b>LinearAlgebra.UniformScaling{T}</b>)<i> where {T<:Number, Tv, Ti}</i> in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl:4098</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal</b>, B::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/tridiag.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/tridiag.jl:207</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal</b>, B::<b>LinearAlgebra.Symmetric</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:485</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal{var\"#s968\", V} where {var\"#s968\"<:Real, V<:AbstractVector{var\"#s968\"}}</b>, B::<b>LinearAlgebra.Hermitian</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:487</a></li> <li> +(x::<b>LinearAlgebra.SymTridiagonal</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal</b>, B::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:150</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal</b>, B::<b>LinearAlgebra.Tridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:164</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:218</a></li> <li> +(A::<b>LinearAlgebra.SymTridiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>, B::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:236</a></li> <li> +(x::<b>SparseArrays.AbstractSparseVector</b>, y::<b>SparseArrays.AbstractSparseVector</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsevector.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsevector.jl:1516</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrix</b>, B::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:14</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrix</b>, B::<b>LinearAlgebra.Hermitian</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:17</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrix</b>, B::<b>LinearAlgebra.Symmetric{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:14</a></li> <li> +(A::<b>SparseArrays.AbstractSparseMatrix</b>, B::<b>LinearAlgebra.Symmetric</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:17</a></li> <li> +(A::<b>LinearAlgebra.UpperHessenberg</b>, B::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:104</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.Tridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.UpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(H::<b>LinearAlgebra.UpperHessenberg</b>, x::<b>LinearAlgebra.UnitUpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:111</a></li> <li> +(A::<b>LinearAlgebra.Hermitian</b>, B::<b>LinearAlgebra.Hermitian</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:469</a></li> <li> +(A::<b>LinearAlgebra.Hermitian</b>, B::<b>LinearAlgebra.SymTridiagonal{var\"#s967\", V} where {var\"#s967\"<:Real, V<:AbstractVector{var\"#s967\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:488</a></li> <li> +(H::<b>LinearAlgebra.Hermitian</b>, D::<b>LinearAlgebra.Diagonal{var\"#s970\", V} where {var\"#s970\"<:Real, V<:AbstractVector{var\"#s970\"}}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/diagonal.jl:197</a></li> <li> +(A::<b>LinearAlgebra.Hermitian</b>, J::<b>LinearAlgebra.UniformScaling{<:Complex}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:195</a></li> <li> +(A::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>SparseArrays.AbstractSparseMatrix</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:15</a></li> <li> +(A::<b>LinearAlgebra.Hermitian</b>, B::<b>SparseArrays.AbstractSparseMatrix</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:18</a></li> <li> +(A::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>LinearAlgebra.Symmetric{<:Real, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:26</a></li> <li> +(A::<b>LinearAlgebra.Hermitian</b>, B::<b>LinearAlgebra.Symmetric{var\"#s970\", S} where {var\"#s970\"<:Real, S<:(AbstractMatrix{<:var\"#s970\"})}</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/symmetric.jl:483</a></li> <li> +(A::<b>LinearAlgebra.Hermitian{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>, B::<b>LinearAlgebra.Symmetric{<:Any, <:SparseArrays.AbstractSparseMatrix}</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/linalg.jl:24</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/bidiag.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/bidiag.jl:374</a></li> <li> +(x::<b>LinearAlgebra.Bidiagonal</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.UpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:99</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.UnitUpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:99</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.LowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:99</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.UnitLowerTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:99</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.Diagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:120</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.Tridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:188</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal</b>, B::<b>LinearAlgebra.SymTridiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:208</a></li> <li> +(A::<b>LinearAlgebra.Bidiagonal{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}</b>, B::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:241</a></li> <li> +(A::<b>LinearAlgebra.UpperTriangular</b>, B::<b>LinearAlgebra.UpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:642</a></li> <li> +(A::<b>LinearAlgebra.UpperTriangular</b>, B::<b>LinearAlgebra.UnitUpperTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:644</a></li> <li> +(A::<b>LinearAlgebra.AbstractTriangular</b>, B::<b>LinearAlgebra.AbstractTriangular</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/triangular.jl:650</a></li> <li> +(x::<b>LinearAlgebra.UpperTriangular</b>, H::<b>LinearAlgebra.UpperHessenberg</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/hessenberg.jl:112</a></li> <li> +(A::<b>LinearAlgebra.UpperTriangular</b>, B::<b>LinearAlgebra.Bidiagonal</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/special.jl:91</a></li> <li> +(A::<b>BitArray</b>, B::<b>BitArray</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/bitarray.jl#L1184\" target=\"_blank\">bitarray.jl:1184</a></li> <li> +(A::<b>Array</b>, Bs::<b>Array...</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/arraymath.jl#L12\" target=\"_blank\">arraymath.jl:12</a></li> <li> +(X::<b>StridedArray{<:Union{Dates.CompoundPeriod, Dates.Period}}</b>, Y::<b>StridedArray{<:Union{Dates.CompoundPeriod, Dates.Period}}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:62</a></li> <li> +(A::<b>Array</b>, B::<b>SparseArrays.AbstractSparseMatrixCSC</b>) in SparseArrays at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/sparsematrix.jl:2069</a></li> <li> +(x::<b>StridedArray{<:Union{Dates.CompoundPeriod, Dates.Period}}</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:55</a></li> <li> +(x::<b>StridedArray{<:Union{Dates.CompoundPeriod, Dates.Period}}</b>, y::<b>Dates.TimeType</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/deprecated.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/deprecated.jl:10</a></li> <li> +(A::<b>AbstractArray</b>, B::<b>AbstractArray</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/arraymath.jl#L6\" target=\"_blank\">arraymath.jl:6</a></li> <li> +(::<b>Missing</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/missing.jl#L101\" target=\"_blank\">missing.jl:101</a></li> <li> +(::<b>Missing</b>, ::<b>Number</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/missing.jl#L123\" target=\"_blank\">missing.jl:123</a></li> <li> +(x::<b>Missing</b>, y::<b>Dates.AbstractTime</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:89</a></li> <li> +(::<b>Missing</b>, ::<b>Missing</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/missing.jl#L122\" target=\"_blank\">missing.jl:122</a></li> <li> +(x::<b>BigFloat</b>, c::<b>Union{UInt16, UInt32, UInt64, UInt8}</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L402\" target=\"_blank\">mpfr.jl:402</a></li> <li> +(x::<b>BigFloat</b>, c::<b>Union{Int16, Int32, Int64, Int8}</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L410\" target=\"_blank\">mpfr.jl:410</a></li> <li> +(x::<b>BigFloat</b>, c::<b>Union{Float16, Float32, Float64}</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L418\" target=\"_blank\">mpfr.jl:418</a></li> <li> +(x::<b>BigFloat</b>, y::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L395\" target=\"_blank\">mpfr.jl:395</a></li> <li> +(x::<b>BigFloat</b>, c::<b>BigInt</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L426\" target=\"_blank\">mpfr.jl:426</a></li> <li> +(a::<b>BigFloat</b>, b::<b>BigFloat</b>, c::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L567\" target=\"_blank\">mpfr.jl:567</a></li> <li> +(a::<b>BigFloat</b>, b::<b>BigFloat</b>, c::<b>BigFloat</b>, d::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L573\" target=\"_blank\">mpfr.jl:573</a></li> <li> +(a::<b>BigFloat</b>, b::<b>BigFloat</b>, c::<b>BigFloat</b>, d::<b>BigFloat</b>, e::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L580\" target=\"_blank\">mpfr.jl:580</a></li> <li> +(x::<b>Bool</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/bool.jl#L163\" target=\"_blank\">bool.jl:163</a></li> <li> +(x::<b>Integer</b>, y::<b>Ptr</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/pointer.jl#L169\" target=\"_blank\">pointer.jl:169</a></li> <li> +(y::<b>Integer</b>, x::<b>Rational</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/rational.jl#L334\" target=\"_blank\">rational.jl:334</a></li> <li> +(x::<b>Integer</b>, y::<b>AbstractChar</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/char.jl#L247\" target=\"_blank\">char.jl:247</a></li> <li> +(x::<b>Bool</b>, y::<b>T</b>)<i> where T<:AbstractFloat</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/bool.jl#L173\" target=\"_blank\">bool.jl:173</a></li> <li> +(x::<b>Bool</b>, y::<b>Bool</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/bool.jl#L166\" target=\"_blank\">bool.jl:166</a></li> <li> +(x::<b>Bool</b>, z::<b>Complex{Bool}</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L302\" target=\"_blank\">complex.jl:302</a></li> <li> +(x::<b>Bool</b>, z::<b>Complex</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L309\" target=\"_blank\">complex.jl:309</a></li> <li> +(x::<b>Dates.Time</b>, y::<b>Dates.TimePeriod</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:83</a></li> <li> +(t::<b>Dates.Time</b>, dt::<b>Dates.Date</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:20</a></li> <li> +(B::<b>BitMatrix</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:151</a></li> <li> +(A::<b>AbstractMatrix</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:214</a></li> <li> +(x::<b>AbstractArray{<:Number}</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/abstractarraymath.jl#L220\" target=\"_blank\">abstractarraymath.jl:220</a></li> <li> +(dt::<b>Dates.Date</b>, t::<b>Dates.Time</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:19</a></li> <li> +(dt::<b>Dates.Date</b>, y::<b>Dates.Year</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:27</a></li> <li> +(dt::<b>Dates.Date</b>, z::<b>Dates.Month</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:54</a></li> <li> +(x::<b>Dates.Date</b>, y::<b>Dates.Quarter</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:73</a></li> <li> +(x::<b>Dates.Date</b>, y::<b>Dates.Week</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:77</a></li> <li> +(x::<b>Dates.Date</b>, y::<b>Dates.Day</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:79</a></li> <li> +(x::<b>Rational{BigInt}</b>, y::<b>Rational{BigInt}</b>) in Base.GMP.MPQ at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L1030\" target=\"_blank\">gmp.jl:1030</a></li> <li> +(x::<b>Rational</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/rational.jl#L284\" target=\"_blank\">rational.jl:284</a></li> <li> +(x::<b>Real</b>, z::<b>Complex{Bool}</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L316\" target=\"_blank\">complex.jl:316</a></li> <li> +(x::<b>Real</b>, z::<b>Complex</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L328\" target=\"_blank\">complex.jl:328</a></li> <li> +(x::<b>Rational</b>, y::<b>Rational</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/rational.jl#L298\" target=\"_blank\">rational.jl:298</a></li> <li> +(a::<b>Pkg.Resolve.FieldValue</b>, b::<b>Pkg.Resolve.FieldValue</b>) in Pkg.Resolve at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Pkg/src/Resolve/fieldvalues.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Pkg/src/Resolve/fieldvalues.jl:43</a></li> <li> +(x::<b>Dates.CompoundPeriod</b>, y::<b>Dates.Period</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:332</a></li> <li> +(x::<b>Dates.CompoundPeriod</b>, y::<b>Dates.TimeType</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:362</a></li> <li> +(x::<b>Dates.CompoundPeriod</b>, y::<b>Dates.CompoundPeriod</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:334</a></li> <li> +(a::<b>Pkg.Resolve.VersionWeight</b>, b::<b>Pkg.Resolve.VersionWeight</b>) in Pkg.Resolve at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Pkg/src/Resolve/versionweights.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Pkg/src/Resolve/versionweights.jl:22</a></li> <li> +(dt::<b>Dates.DateTime</b>, y::<b>Dates.Year</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:23</a></li> <li> +(dt::<b>Dates.DateTime</b>, z::<b>Dates.Month</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:47</a></li> <li> +(x::<b>Dates.DateTime</b>, y::<b>Dates.Quarter</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:75</a></li> <li> +(x::<b>Dates.DateTime</b>, y::<b>Dates.Period</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:81</a></li> <li> +(x::<b>Dates.TimeType</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:8</a></li> <li> +(x::<b>Dates.AbstractTime</b>, y::<b>Missing</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/arithmetic.jl:88</a></li> <li> +(a::<b>Dates.TimeType</b>, b::<b>Dates.Period</b>, c::<b>Dates.Period</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:353</a></li> <li> +(a::<b>Dates.TimeType</b>, b::<b>Dates.Period</b>, c::<b>Dates.Period</b>, d::<b>Dates.Period...</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:354</a></li> <li> +(x::<b>Dates.TimeType</b>, y::<b>Dates.CompoundPeriod</b>) in Dates at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/Dates/src/periods.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/periods.jl:356</a></li> <li> +(x::<b>BigInt</b>, c::<b>Union{UInt16, UInt32, UInt64, UInt8}</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L538\" target=\"_blank\">gmp.jl:538</a></li> <li> +(x::<b>BigInt</b>, c::<b>Union{Int16, Int32, Int64, Int8}</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L544\" target=\"_blank\">gmp.jl:544</a></li> <li> +(x::<b>BigInt</b>, y::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L490\" target=\"_blank\">gmp.jl:490</a></li> <li> +(a::<b>BigInt</b>, b::<b>BigInt</b>, c::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L530\" target=\"_blank\">gmp.jl:530</a></li> <li> +(a::<b>BigInt</b>, b::<b>BigInt</b>, c::<b>BigInt</b>, d::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L531\" target=\"_blank\">gmp.jl:531</a></li> <li> +(a::<b>BigInt</b>, b::<b>BigInt</b>, c::<b>BigInt</b>, d::<b>BigInt</b>, e::<b>BigInt</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L532\" target=\"_blank\">gmp.jl:532</a></li> <li> +(x::<b>BigInt</b>, y::<b>BigInt</b>, rest::<b>BigInt...</b>) in Base.GMP at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/gmp.jl#L666\" target=\"_blank\">gmp.jl:666</a></li> <li> +(a::<b>Integer</b>, b::<b>Integer</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/int.jl#L1038\" target=\"_blank\">int.jl:1038</a></li> <li> +(c::<b>BigInt</b>, x::<b>BigFloat</b>) in Base.MPFR at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/mpfr.jl#L431\" target=\"_blank\">mpfr.jl:431</a></li> <li> +(level::<b>Base.CoreLogging.LogLevel</b>, inc::<b>Integer</b>) in Base.CoreLogging at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/logging.jl#L131\" target=\"_blank\">logging.jl:131</a></li> <li> +(z::<b>Complex{Bool}</b>, x::<b>Bool</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L303\" target=\"_blank\">complex.jl:303</a></li> <li> +(z::<b>Complex</b>, x::<b>Bool</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L310\" target=\"_blank\">complex.jl:310</a></li> <li> +(z::<b>Complex{Bool}</b>, x::<b>Real</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L317\" target=\"_blank\">complex.jl:317</a></li> <li> +(z::<b>Complex</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L289\" target=\"_blank\">complex.jl:289</a></li> <li> +(x::<b>Number</b>, y::<b>Base.TwicePrecision</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/twiceprecision.jl#L294\" target=\"_blank\">twiceprecision.jl:294</a></li> <li> +(::<b>Number</b>, ::<b>Missing</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/missing.jl#L124\" target=\"_blank\">missing.jl:124</a></li> <li> +(x::<b>Number</b>, J::<b>LinearAlgebra.UniformScaling</b>) in LinearAlgebra at <a href=\"file:///Users/julia/.julia/scratchspaces/a66863c6-20e8-4ff4-8a62-49f30b1f605e/agent-cache/default-grannysmith-C07ZM05NJYVY.0/build/default-grannysmith-C07ZM05NJYVY-0/julialang/julia-release-1-dot-9/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl\" target=\"_blank\">/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/uniformscaling.jl:145</a></li> <li> +(z::<b>Complex</b>, x::<b>Real</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/complex.jl#L329\" target=\"_blank\">complex.jl:329</a></li> <li> +(x::<b>Number</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/operators.jl#L515\" target=\"_blank\">operators.jl:515</a></li> <li> +(x::<b>T</b>, y::<b>T</b>)<i> where T<:Number</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/promotion.jl#L485\" target=\"_blank\">promotion.jl:485</a></li> <li> +(x::<b>Number</b>, y::<b>Number</b>) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/promotion.jl#L410\" target=\"_blank\">promotion.jl:410</a></li> <li> +(a, b, c, xs...) in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/operators.jl#L578\" target=\"_blank\">operators.jl:578</a></li> </ul>"
      ],
      "text/plain": [
       "# 207 methods for generic function \"+\" from \u001b[90mBase\u001b[39m:\n",
       "   [1] +(\u001b[90mx\u001b[39m::\u001b[1mT\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mT\u001b[22m) where T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8}\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mint.jl:87\u001b[24m\u001b[39m\n",
       "   [2] +(\u001b[90mx\u001b[39m::\u001b[1mT\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mT\u001b[22m) where T<:Union{Float16, Float32, Float64}\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mfloat.jl:408\u001b[24m\u001b[39m\n",
       "   [3] +(\u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{UInt16, UInt32, UInt64, UInt8}, \u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:539\u001b[24m\u001b[39m\n",
       "   [4] +(\u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Int16, Int32, Int64, Int8}, \u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:545\u001b[24m\u001b[39m\n",
       "   [5] +(\u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{UInt16, UInt32, UInt64, UInt8}, \u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:407\u001b[24m\u001b[39m\n",
       "   [6] +(\u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Int16, Int32, Int64, Int8}, \u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:415\u001b[24m\u001b[39m\n",
       "   [7] +(\u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Float16, Float32, Float64}, \u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:423\u001b[24m\u001b[39m\n",
       "   [8] +(\u001b[90mx\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Dates.CompoundPeriod, Dates.Period})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:342\u001b[24m\u001b[39m\n",
       "   [9] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:643\u001b[24m\u001b[39m\n",
       "  [10] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:645\u001b[24m\u001b[39m\n",
       "  [11] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:91\u001b[24m\u001b[39m\n",
       "  [12] +(\u001b[90mr1\u001b[39m::\u001b[1mLinRange\u001b[22m\u001b[0m{T}, \u001b[90mr2\u001b[39m::\u001b[1mLinRange\u001b[22m\u001b[0m{T}) where T\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrange.jl:1435\u001b[24m\u001b[39m\n",
       "  [13] +(\u001b[90mx\u001b[39m::\u001b[1mP\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mP\u001b[22m) where P<:Dates.Period\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:75\u001b[24m\u001b[39m\n",
       "  [14] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Period\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:331\u001b[24m\u001b[39m\n",
       "  [15] +(\u001b[90my\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:333\u001b[24m\u001b[39m\n",
       "  [16] +(\u001b[90my\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mDates.TimeType\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:85\u001b[24m\u001b[39m\n",
       "  [17] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90mr\u001b[39m::\u001b[1mAbstractRange\u001b[22m\u001b[0m{<:Dates.TimeType})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mranges.jl:64\u001b[24m\u001b[39m\n",
       "  [18] +(\u001b[90my\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Dates.CompoundPeriod, Dates.Period}, \u001b[90mx\u001b[39m::\u001b[1mAbstractArray\u001b[22m\u001b[0m{<:Dates.TimeType})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:14\u001b[24m\u001b[39m\n",
       "  [19] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtridiag.jl:754\u001b[24m\u001b[39m\n",
       "  [20] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       "  [21] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:162\u001b[24m\u001b[39m\n",
       "  [22] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:178\u001b[24m\u001b[39m\n",
       "  [23] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:198\u001b[24m\u001b[39m\n",
       "  [24] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:231\u001b[24m\u001b[39m\n",
       "  [25] +(\u001b[90mF\u001b[39m::\u001b[1mLinearAlgebra.Hessenberg\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:647\u001b[24m\u001b[39m\n",
       "  [26] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:469\u001b[24m\u001b[39m\n",
       "  [27] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:486\u001b[24m\u001b[39m\n",
       "  [28] +(\u001b[90mS\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m, \u001b[90mD\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mdiagonal.jl:191\u001b[24m\u001b[39m\n",
       "  [29] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:15\u001b[24m\u001b[39m\n",
       "  [30] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:18\u001b[24m\u001b[39m\n",
       "  [31] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Real, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:25\u001b[24m\u001b[39m\n",
       "  [32] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{var\"#s969\", S} where {var\"#s969\"<:Real, S<:(AbstractMatrix{<:var\"#s969\"})}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:484\u001b[24m\u001b[39m\n",
       "  [33] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:23\u001b[24m\u001b[39m\n",
       "  [34] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:647\u001b[24m\u001b[39m\n",
       "  [35] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:649\u001b[24m\u001b[39m\n",
       "  [36] +(\u001b[90mUL\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:181\u001b[24m\u001b[39m\n",
       "  [37] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:91\u001b[24m\u001b[39m\n",
       "  [38] +(\u001b[90mDa\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mDb\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mdiagonal.jl:184\u001b[24m\u001b[39m\n",
       "  [39] +(\u001b[90mD\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mS\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mdiagonal.jl:188\u001b[24m\u001b[39m\n",
       "  [40] +(\u001b[90mD\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Real, V<:AbstractVector{var\"#s970\"}}, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mdiagonal.jl:194\u001b[24m\u001b[39m\n",
       "  [41] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       "  [42] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:130\u001b[24m\u001b[39m\n",
       "  [43] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:140\u001b[24m\u001b[39m\n",
       "  [44] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:168\u001b[24m\u001b[39m\n",
       "  [45] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:246\u001b[24m\u001b[39m\n",
       "  [46] +(\u001b[90mx\u001b[39m::\u001b[1mRational\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mInteger\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrational.jl:327\u001b[24m\u001b[39m\n",
       "  [47] +(\u001b[90mx\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mNumber\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mtwiceprecision.jl:290\u001b[24m\u001b[39m\n",
       "  [48] +(\u001b[90mx\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m\u001b[0m{T}, \u001b[90my\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m\u001b[0m{T}) where T\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mtwiceprecision.jl:296\u001b[24m\u001b[39m\n",
       "  [49] +(\u001b[90mx\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mtwiceprecision.jl:301\u001b[24m\u001b[39m\n",
       "  [50] +(\u001b[90mr1\u001b[39m::\u001b[1mStepRangeLen\u001b[22m\u001b[0m{T, R}, \u001b[90mr2\u001b[39m::\u001b[1mStepRangeLen\u001b[22m\u001b[0m{T, R}) where {R<:Base.TwicePrecision, T}\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mtwiceprecision.jl:628\u001b[24m\u001b[39m\n",
       "  [51] +(\u001b[90mr1\u001b[39m::\u001b[1mStepRangeLen\u001b[22m\u001b[0m{T, S}, \u001b[90mr2\u001b[39m::\u001b[1mStepRangeLen\u001b[22m\u001b[0m{T, S}) where {T, S}\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrange.jl:1451\u001b[24m\u001b[39m\n",
       "  [52] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Instant\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:4\u001b[24m\u001b[39m\n",
       "  [53] +(\u001b[90mr\u001b[39m::\u001b[1mAbstractRange\u001b[22m\u001b[0m{<:Dates.TimeType}, \u001b[90mx\u001b[39m::\u001b[1mDates.Period\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mranges.jl:65\u001b[24m\u001b[39m\n",
       "  [54] +(\u001b[90mx\u001b[39m::\u001b[1mAbstractArray\u001b[22m\u001b[0m{<:Dates.TimeType}, \u001b[90my\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Dates.CompoundPeriod, Dates.Period})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:6\u001b[24m\u001b[39m\n",
       "  [55] +(\u001b[90my\u001b[39m::\u001b[1mDates.TimeType\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mStridedArray\u001b[22m\u001b[0m{<:Union{Dates.CompoundPeriod, Dates.Period}})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:18\u001b[24m\u001b[39m\n",
       "  [56] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:646\u001b[24m\u001b[39m\n",
       "  [57] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:648\u001b[24m\u001b[39m\n",
       "  [58] +(\u001b[90mUL\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:181\u001b[24m\u001b[39m\n",
       "  [59] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       "  [60] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:91\u001b[24m\u001b[39m\n",
       "  [61] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:149\u001b[24m\u001b[39m\n",
       "  [62] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mNumber\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:144\u001b[24m\u001b[39m\n",
       "  [63] +(\u001b[90mJ1\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mJ2\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:150\u001b[24m\u001b[39m\n",
       "  [64] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mBitMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:152\u001b[24m\u001b[39m\n",
       "  [65] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       "  [66] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mF\u001b[39m::\u001b[1mLinearAlgebra.Hessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:648\u001b[24m\u001b[39m\n",
       "  [67] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:250\u001b[24m\u001b[39m\n",
       "  [68] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:255\u001b[24m\u001b[39m\n",
       "  [69] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:260\u001b[24m\u001b[39m\n",
       "  [70] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:265\u001b[24m\u001b[39m\n",
       "  [71] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m\u001b[0m{T}, \u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m\u001b[0m{Tv, Ti}) where {T<:Number, Tv, Ti}\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsematrix.jl:4100\u001b[24m\u001b[39m\n",
       "  [72] +(\u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m, \u001b[90mA\u001b[39m::\u001b[1mAbstractMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:153\u001b[24m\u001b[39m\n",
       "  [73] +(\u001b[90my\u001b[39m::\u001b[1mAbstractFloat\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mbool.jl:176\u001b[24m\u001b[39m\n",
       "  [74] +(\u001b[90mx\u001b[39m::\u001b[1mAbstractIrrational\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mAbstractIrrational\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mirrationals.jl:161\u001b[24m\u001b[39m\n",
       "  [75] +(\u001b[90mindex1\u001b[39m::\u001b[1mCartesianIndex\u001b[22m\u001b[0m{N}, \u001b[90mindex2\u001b[39m::\u001b[1mCartesianIndex\u001b[22m\u001b[0m{N}) where N\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.IteratorsMD\u001b[39m \u001b[90m\u001b[4mmultidimensional.jl:111\u001b[24m\u001b[39m\n",
       "  [76] +(\u001b[90mx\u001b[39m::\u001b[1mT\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mInteger\u001b[22m) where T<:AbstractChar\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mchar.jl:237\u001b[24m\u001b[39m\n",
       "  [77] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m, \u001b[90mw\u001b[39m::\u001b[1mComplex\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:291\u001b[24m\u001b[39m\n",
       "  [78] +(\u001b[90mr1\u001b[39m::\u001b[1mOrdinalRange\u001b[22m, \u001b[90mr2\u001b[39m::\u001b[1mOrdinalRange\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrange.jl:1428\u001b[24m\u001b[39m\n",
       "  [79] +(\u001b[90mr1\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{LinRange, OrdinalRange, StepRangeLen}, \u001b[90mr2\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{LinRange, OrdinalRange, StepRangeLen})\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrange.jl:1444\u001b[24m\u001b[39m\n",
       "  [80] +(\u001b[90mx\u001b[39m::\u001b[1mPtr\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mInteger\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mpointer.jl:167\u001b[24m\u001b[39m\n",
       "  [81] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsematrix.jl:2065\u001b[24m\u001b[39m\n",
       "  [82] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mArray\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsematrix.jl:2068\u001b[24m\u001b[39m\n",
       "  [83] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m\u001b[0m{Tv, Ti}, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m\u001b[0m{T}) where {T<:Number, Tv, Ti}\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsematrix.jl:4098\u001b[24m\u001b[39m\n",
       "  [84] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtridiag.jl:207\u001b[24m\u001b[39m\n",
       "  [85] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:485\u001b[24m\u001b[39m\n",
       "  [86] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m\u001b[0m{var\"#s968\", V} where {var\"#s968\"<:Real, V<:AbstractVector{var\"#s968\"}}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:487\u001b[24m\u001b[39m\n",
       "  [87] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       "  [88] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:150\u001b[24m\u001b[39m\n",
       "  [89] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:164\u001b[24m\u001b[39m\n",
       "  [90] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:218\u001b[24m\u001b[39m\n",
       "  [91] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:236\u001b[24m\u001b[39m\n",
       "  [92] +(\u001b[90mx\u001b[39m::\u001b[1mSparseArrays.AbstractSparseVector\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mSparseArrays.AbstractSparseVector\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsevector.jl:1516\u001b[24m\u001b[39m\n",
       "  [93] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:14\u001b[24m\u001b[39m\n",
       "  [94] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:17\u001b[24m\u001b[39m\n",
       "  [95] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:14\u001b[24m\u001b[39m\n",
       "  [96] +(\u001b[90mA\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:17\u001b[24m\u001b[39m\n",
       "  [97] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:104\u001b[24m\u001b[39m\n",
       "  [98] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       "  [99] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [100] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [101] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [102] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [103] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [104] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:111\u001b[24m\u001b[39m\n",
       " [105] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:469\u001b[24m\u001b[39m\n",
       " [106] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m\u001b[0m{var\"#s967\", V} where {var\"#s967\"<:Real, V<:AbstractVector{var\"#s967\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:488\u001b[24m\u001b[39m\n",
       " [107] +(\u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mD\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Real, V<:AbstractVector{var\"#s970\"}})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mdiagonal.jl:197\u001b[24m\u001b[39m\n",
       " [108] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m\u001b[0m{<:Complex})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:195\u001b[24m\u001b[39m\n",
       " [109] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:15\u001b[24m\u001b[39m\n",
       " [110] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrix\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:18\u001b[24m\u001b[39m\n",
       " [111] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Real, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:26\u001b[24m\u001b[39m\n",
       " [112] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{var\"#s970\", S} where {var\"#s970\"<:Real, S<:(AbstractMatrix{<:var\"#s970\"})})\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4msymmetric.jl:483\u001b[24m\u001b[39m\n",
       " [113] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Hermitian\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Symmetric\u001b[22m\u001b[0m{<:Any, <:SparseArrays.AbstractSparseMatrix})\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4mlinalg.jl:24\u001b[24m\u001b[39m\n",
       " [114] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mbidiag.jl:374\u001b[24m\u001b[39m\n",
       " [115] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       " [116] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:99\u001b[24m\u001b[39m\n",
       " [117] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:99\u001b[24m\u001b[39m\n",
       " [118] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.LowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:99\u001b[24m\u001b[39m\n",
       " [119] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitLowerTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:99\u001b[24m\u001b[39m\n",
       " [120] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Diagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:120\u001b[24m\u001b[39m\n",
       " [121] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Tridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:188\u001b[24m\u001b[39m\n",
       " [122] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.SymTridiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:208\u001b[24m\u001b[39m\n",
       " [123] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m\u001b[0m{var\"#s970\", V} where {var\"#s970\"<:Number, V<:AbstractVector{var\"#s970\"}}, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:241\u001b[24m\u001b[39m\n",
       " [124] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:642\u001b[24m\u001b[39m\n",
       " [125] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.UnitUpperTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:644\u001b[24m\u001b[39m\n",
       " [126] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.AbstractTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.AbstractTriangular\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mtriangular.jl:650\u001b[24m\u001b[39m\n",
       " [127] +(\u001b[90mx\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m, \u001b[90mH\u001b[39m::\u001b[1mLinearAlgebra.UpperHessenberg\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mhessenberg.jl:112\u001b[24m\u001b[39m\n",
       " [128] +(\u001b[90mA\u001b[39m::\u001b[1mLinearAlgebra.UpperTriangular\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mLinearAlgebra.Bidiagonal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4mspecial.jl:91\u001b[24m\u001b[39m\n",
       " [129] +(\u001b[90mA\u001b[39m::\u001b[1mBitArray\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mBitArray\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mbitarray.jl:1184\u001b[24m\u001b[39m\n",
       " [130] +(\u001b[90mA\u001b[39m::\u001b[1mArray\u001b[22m, \u001b[90mBs\u001b[39m::\u001b[1mArray...\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4marraymath.jl:12\u001b[24m\u001b[39m\n",
       " [131] +(\u001b[90mX\u001b[39m::\u001b[1mStridedArray\u001b[22m\u001b[0m{<:Union{Dates.CompoundPeriod, Dates.Period}}, \u001b[90mY\u001b[39m::\u001b[1mStridedArray\u001b[22m\u001b[0m{<:Union{Dates.CompoundPeriod, Dates.Period}})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:62\u001b[24m\u001b[39m\n",
       " [132] +(\u001b[90mA\u001b[39m::\u001b[1mArray\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mSparseArrays.AbstractSparseMatrixCSC\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[33mSparseArrays\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/SparseArrays/src/\u001b[39m\u001b[90m\u001b[4msparsematrix.jl:2069\u001b[24m\u001b[39m\n",
       " [133] +(\u001b[90mx\u001b[39m::\u001b[1mStridedArray\u001b[22m\u001b[0m{<:Union{Dates.CompoundPeriod, Dates.Period}})\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:55\u001b[24m\u001b[39m\n",
       " [134] +(\u001b[90mx\u001b[39m::\u001b[1mStridedArray\u001b[22m\u001b[0m{<:Union{Dates.CompoundPeriod, Dates.Period}}, \u001b[90my\u001b[39m::\u001b[1mDates.TimeType\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mdeprecated.jl:10\u001b[24m\u001b[39m\n",
       " [135] +(\u001b[90mA\u001b[39m::\u001b[1mAbstractArray\u001b[22m, \u001b[90mB\u001b[39m::\u001b[1mAbstractArray\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4marraymath.jl:6\u001b[24m\u001b[39m\n",
       " [136] +(::\u001b[1mMissing\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mmissing.jl:101\u001b[24m\u001b[39m\n",
       " [137] +(::\u001b[1mMissing\u001b[22m, ::\u001b[1mNumber\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mmissing.jl:123\u001b[24m\u001b[39m\n",
       " [138] +(\u001b[90mx\u001b[39m::\u001b[1mMissing\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.AbstractTime\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:89\u001b[24m\u001b[39m\n",
       " [139] +(::\u001b[1mMissing\u001b[22m, ::\u001b[1mMissing\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mmissing.jl:122\u001b[24m\u001b[39m\n",
       " [140] +(\u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{UInt16, UInt32, UInt64, UInt8})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:402\u001b[24m\u001b[39m\n",
       " [141] +(\u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Int16, Int32, Int64, Int8})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:410\u001b[24m\u001b[39m\n",
       " [142] +(\u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Float16, Float32, Float64})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:418\u001b[24m\u001b[39m\n",
       " [143] +(\u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:395\u001b[24m\u001b[39m\n",
       " [144] +(\u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:426\u001b[24m\u001b[39m\n",
       " [145] +(\u001b[90ma\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:567\u001b[24m\u001b[39m\n",
       " [146] +(\u001b[90ma\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90md\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:573\u001b[24m\u001b[39m\n",
       " [147] +(\u001b[90ma\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90md\u001b[39m::\u001b[1mBigFloat\u001b[22m, \u001b[90me\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:580\u001b[24m\u001b[39m\n",
       " [148] +(\u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mbool.jl:163\u001b[24m\u001b[39m\n",
       " [149] +(\u001b[90mx\u001b[39m::\u001b[1mInteger\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mPtr\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mpointer.jl:169\u001b[24m\u001b[39m\n",
       " [150] +(\u001b[90my\u001b[39m::\u001b[1mInteger\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mRational\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrational.jl:334\u001b[24m\u001b[39m\n",
       " [151] +(\u001b[90mx\u001b[39m::\u001b[1mInteger\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mAbstractChar\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mchar.jl:247\u001b[24m\u001b[39m\n",
       " [152] +(\u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mT\u001b[22m) where T<:AbstractFloat\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mbool.jl:173\u001b[24m\u001b[39m\n",
       " [153] +(\u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBool\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mbool.jl:166\u001b[24m\u001b[39m\n",
       " [154] +(\u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m\u001b[0m{Bool})\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:302\u001b[24m\u001b[39m\n",
       " [155] +(\u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:309\u001b[24m\u001b[39m\n",
       " [156] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Time\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.TimePeriod\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:83\u001b[24m\u001b[39m\n",
       " [157] +(\u001b[90mt\u001b[39m::\u001b[1mDates.Time\u001b[22m, \u001b[90mdt\u001b[39m::\u001b[1mDates.Date\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:20\u001b[24m\u001b[39m\n",
       " [158] +(\u001b[90mB\u001b[39m::\u001b[1mBitMatrix\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:151\u001b[24m\u001b[39m\n",
       " [159] +(\u001b[90mA\u001b[39m::\u001b[1mAbstractMatrix\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:214\u001b[24m\u001b[39m\n",
       " [160] +(\u001b[90mx\u001b[39m::\u001b[1mAbstractArray\u001b[22m\u001b[0m{<:Number})\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mabstractarraymath.jl:220\u001b[24m\u001b[39m\n",
       " [161] +(\u001b[90mdt\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90mt\u001b[39m::\u001b[1mDates.Time\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:19\u001b[24m\u001b[39m\n",
       " [162] +(\u001b[90mdt\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Year\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:27\u001b[24m\u001b[39m\n",
       " [163] +(\u001b[90mdt\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mDates.Month\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:54\u001b[24m\u001b[39m\n",
       " [164] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Quarter\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:73\u001b[24m\u001b[39m\n",
       " [165] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Week\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:77\u001b[24m\u001b[39m\n",
       " [166] +(\u001b[90mx\u001b[39m::\u001b[1mDates.Date\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Day\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:79\u001b[24m\u001b[39m\n",
       " [167] +(\u001b[90mx\u001b[39m::\u001b[1mRational\u001b[22m\u001b[0m{BigInt}, \u001b[90my\u001b[39m::\u001b[1mRational\u001b[22m\u001b[0m{BigInt})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP.MPQ\u001b[39m \u001b[90m\u001b[4mgmp.jl:1030\u001b[24m\u001b[39m\n",
       " [168] +(\u001b[90mx\u001b[39m::\u001b[1mRational\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrational.jl:284\u001b[24m\u001b[39m\n",
       " [169] +(\u001b[90mx\u001b[39m::\u001b[1mReal\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m\u001b[0m{Bool})\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:316\u001b[24m\u001b[39m\n",
       " [170] +(\u001b[90mx\u001b[39m::\u001b[1mReal\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:328\u001b[24m\u001b[39m\n",
       " [171] +(\u001b[90mx\u001b[39m::\u001b[1mRational\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mRational\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mrational.jl:298\u001b[24m\u001b[39m\n",
       " [172] +(\u001b[90ma\u001b[39m::\u001b[1mPkg.Resolve.FieldValue\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mPkg.Resolve.FieldValue\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[35mPkg.Resolve\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Pkg/src/Resolve/\u001b[39m\u001b[90m\u001b[4mfieldvalues.jl:43\u001b[24m\u001b[39m\n",
       " [173] +(\u001b[90mx\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Period\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:332\u001b[24m\u001b[39m\n",
       " [174] +(\u001b[90mx\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.TimeType\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:362\u001b[24m\u001b[39m\n",
       " [175] +(\u001b[90mx\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:334\u001b[24m\u001b[39m\n",
       " [176] +(\u001b[90ma\u001b[39m::\u001b[1mPkg.Resolve.VersionWeight\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mPkg.Resolve.VersionWeight\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[35mPkg.Resolve\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Pkg/src/Resolve/\u001b[39m\u001b[90m\u001b[4mversionweights.jl:22\u001b[24m\u001b[39m\n",
       " [177] +(\u001b[90mdt\u001b[39m::\u001b[1mDates.DateTime\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Year\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:23\u001b[24m\u001b[39m\n",
       " [178] +(\u001b[90mdt\u001b[39m::\u001b[1mDates.DateTime\u001b[22m, \u001b[90mz\u001b[39m::\u001b[1mDates.Month\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:47\u001b[24m\u001b[39m\n",
       " [179] +(\u001b[90mx\u001b[39m::\u001b[1mDates.DateTime\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Quarter\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:75\u001b[24m\u001b[39m\n",
       " [180] +(\u001b[90mx\u001b[39m::\u001b[1mDates.DateTime\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.Period\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:81\u001b[24m\u001b[39m\n",
       " [181] +(\u001b[90mx\u001b[39m::\u001b[1mDates.TimeType\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:8\u001b[24m\u001b[39m\n",
       " [182] +(\u001b[90mx\u001b[39m::\u001b[1mDates.AbstractTime\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mMissing\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4marithmetic.jl:88\u001b[24m\u001b[39m\n",
       " [183] +(\u001b[90ma\u001b[39m::\u001b[1mDates.TimeType\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mDates.Period\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:353\u001b[24m\u001b[39m\n",
       " [184] +(\u001b[90ma\u001b[39m::\u001b[1mDates.TimeType\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mDates.Period\u001b[22m, \u001b[90md\u001b[39m::\u001b[1mDates.Period...\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:354\u001b[24m\u001b[39m\n",
       " [185] +(\u001b[90mx\u001b[39m::\u001b[1mDates.TimeType\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mDates.CompoundPeriod\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[36mDates\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/Dates/src/\u001b[39m\u001b[90m\u001b[4mperiods.jl:356\u001b[24m\u001b[39m\n",
       " [186] +(\u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{UInt16, UInt32, UInt64, UInt8})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:538\u001b[24m\u001b[39m\n",
       " [187] +(\u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mUnion\u001b[22m\u001b[0m{Int16, Int32, Int64, Int8})\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:544\u001b[24m\u001b[39m\n",
       " [188] +(\u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:490\u001b[24m\u001b[39m\n",
       " [189] +(\u001b[90ma\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:530\u001b[24m\u001b[39m\n",
       " [190] +(\u001b[90ma\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90md\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:531\u001b[24m\u001b[39m\n",
       " [191] +(\u001b[90ma\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mc\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90md\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90me\u001b[39m::\u001b[1mBigInt\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:532\u001b[24m\u001b[39m\n",
       " [192] +(\u001b[90mx\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mrest\u001b[39m::\u001b[1mBigInt...\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.GMP\u001b[39m \u001b[90m\u001b[4mgmp.jl:666\u001b[24m\u001b[39m\n",
       " [193] +(\u001b[90ma\u001b[39m::\u001b[1mInteger\u001b[22m, \u001b[90mb\u001b[39m::\u001b[1mInteger\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mint.jl:1038\u001b[24m\u001b[39m\n",
       " [194] +(\u001b[90mc\u001b[39m::\u001b[1mBigInt\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mBigFloat\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.MPFR\u001b[39m \u001b[90m\u001b[4mmpfr.jl:431\u001b[24m\u001b[39m\n",
       " [195] +(\u001b[90mlevel\u001b[39m::\u001b[1mBase.CoreLogging.LogLevel\u001b[22m, \u001b[90minc\u001b[39m::\u001b[1mInteger\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase.CoreLogging\u001b[39m \u001b[90m\u001b[4mlogging.jl:131\u001b[24m\u001b[39m\n",
       " [196] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m\u001b[0m{Bool}, \u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:303\u001b[24m\u001b[39m\n",
       " [197] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mBool\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:310\u001b[24m\u001b[39m\n",
       " [198] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m\u001b[0m{Bool}, \u001b[90mx\u001b[39m::\u001b[1mReal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:317\u001b[24m\u001b[39m\n",
       " [199] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:289\u001b[24m\u001b[39m\n",
       " [200] +(\u001b[90mx\u001b[39m::\u001b[1mNumber\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mBase.TwicePrecision\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mtwiceprecision.jl:294\u001b[24m\u001b[39m\n",
       " [201] +(::\u001b[1mNumber\u001b[22m, ::\u001b[1mMissing\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mmissing.jl:124\u001b[24m\u001b[39m\n",
       " [202] +(\u001b[90mx\u001b[39m::\u001b[1mNumber\u001b[22m, \u001b[90mJ\u001b[39m::\u001b[1mLinearAlgebra.UniformScaling\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[32mLinearAlgebra\u001b[39m \u001b[90m/Applications/Julia-1.9.app/Contents/Resources/julia/share/julia/stdlib/v1.9/LinearAlgebra/src/\u001b[39m\u001b[90m\u001b[4muniformscaling.jl:145\u001b[24m\u001b[39m\n",
       " [203] +(\u001b[90mz\u001b[39m::\u001b[1mComplex\u001b[22m, \u001b[90mx\u001b[39m::\u001b[1mReal\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mcomplex.jl:329\u001b[24m\u001b[39m\n",
       " [204] +(\u001b[90mx\u001b[39m::\u001b[1mNumber\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4moperators.jl:515\u001b[24m\u001b[39m\n",
       " [205] +(\u001b[90mx\u001b[39m::\u001b[1mT\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mT\u001b[22m) where T<:Number\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mpromotion.jl:485\u001b[24m\u001b[39m\n",
       " [206] +(\u001b[90mx\u001b[39m::\u001b[1mNumber\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mNumber\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4mpromotion.jl:410\u001b[24m\u001b[39m\n",
       " [207] +(\u001b[90ma\u001b[39m, \u001b[90mb\u001b[39m, \u001b[90mc\u001b[39m, \u001b[90mxs...\u001b[39m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90m\u001b[4moperators.jl:578\u001b[24m\u001b[39m"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "methods(+)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, we now can call `foo` on integers or strings. When you call `foo` on a particular set of arguments, Julia will infer the types of the inputs and dispatch the appropriate method. *This* is multiple dispatch.\n",
    "\n",
    "Multiple dispatch makes our code generic and fast. Our code can be generic and flexible because we can write code in terms of abstract operations such as addition and multiplication, rather than in terms of specific implementations. At the same time, our code runs quickly because Julia is able to call efficient methods for the relevant types.\n",
    "\n",
    "To see which method is being dispatched when we call a generic function, we can use the @which macro:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "foo(x::<b>Int64</b>, y::<b>Int64</b>) in Main at In[28]:1"
      ],
      "text/plain": [
       "foo(\u001b[90mx\u001b[39m::\u001b[1mInt64\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mInt64\u001b[22m)\n",
       "\u001b[90m     @\u001b[39m \u001b[90mMain\u001b[39m \u001b[90m\u001b[4mIn[28]:1\u001b[24m\u001b[39m"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@which foo(3, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see what happens when we use `@which` with the addition operator!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "+(x::<b>T</b>, y::<b>T</b>)<i> where T<:Union{Float16, Float32, Float64}</i> in Base at <a href=\"https://github.com/JuliaLang/julia/tree/8e630552924eac54c809aa7bc30871c7df1582d3/base/float.jl#L408\" target=\"_blank\">float.jl:408</a>"
      ],
      "text/plain": [
       "+(\u001b[90mx\u001b[39m::\u001b[1mT\u001b[22m, \u001b[90my\u001b[39m::\u001b[1mT\u001b[22m) where T<:Union{Float16, Float32, Float64}\n",
       "\u001b[90m     @\u001b[39m \u001b[90mBase\u001b[39m \u001b[90m\u001b[4mfloat.jl:408\u001b[24m\u001b[39m"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@which 3.0 + 3.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can continue to add other methods to our generic function `foo`. Let's add one that takes the ***abstract type*** `Number`, which includes subtypes such as `Int`, `Float64`, and other objects you would think of as numbers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "foo (generic function with 3 methods)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(x::Number, y::Number) = println(\"My inputs x and y are both numbers!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This method for `foo` will work on, for example, floating point numbers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "My inputs x and y are both numbers!\n"
     ]
    }
   ],
   "source": [
    "foo(3.0, 4.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also add a fallback, duck-typed method for `foo` that takes inputs of any type:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "foo (generic function with 4 methods)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(x, y) = println(\"I accept inputs of any type!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given the methods we've already written for `foo` so far, this method will be called whenever we pass non-numbers to `foo`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I accept inputs of any type!\n"
     ]
    }
   ],
   "source": [
    "v = rand(3)\n",
    "foo(v,v)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "#### 9.1\n",
    "\n",
    "Extend the function `foo`, adding a method that takes only one input argument, which is of type `Bool`, and returns \"foo with one boolean!\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "foo (generic function with 5 methods)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(x::Bool) = \"foo with one boolean\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 9.2\n",
    "\n",
    "Check that the method being dispatched when you execute \n",
    "```julia\n",
    "foo(true)\n",
    "```\n",
    "is the one you wrote."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"foo with one boolean\""
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foo(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "deletable": false,
    "editable": false,
    "hide_input": true,
    "nbgrader": {
     "checksum": "af0db7a08de56491e57f4c882296a00f",
     "grade": true,
     "grade_id": "cell-14072e60ae07c1a2",
     "locked": true,
     "points": 1,
     "schema_version": 1,
     "solution": false
    }
   },
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "AssertionError: foo(true) == \"foo with one boolean!\"",
     "output_type": "error",
     "traceback": [
      "AssertionError: foo(true) == \"foo with one boolean!\"",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[43]:1"
     ]
    }
   ],
   "source": [
    "@assert foo(true) == \"foo with one boolean!\""
   ]
  }
 ],
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