cmdla/project/testing.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "57a2b335-a7f3-4ace-a2d8-52219c4febc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"thinQR.jl\")\n",
    "using .thinQR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8b3d71f8-2f4f-44f0-8c97-dd9d78706163",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = [-1.5012955407352218e-16, 0.5000000000000001]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " 0.9999999999999991\n",
       " 1.9999999999999996\n",
       " 2.9999999999999996"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [1. 2; 3. 4.; 5. 6.]\n",
    "A = qrhous!(A)\n",
    "b = [1., 2, 3]\n",
    "x = A \\ b\n",
    "@show x\n",
    "A * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c7f143dc-a80d-4326-83c1-31dac3a6e3e0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = [-1.0000000000000033, 1.0000000000000002, 4.0792198665315527e-16]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " 1.0000000000000009\n",
       " 2.000000000000001\n",
       " 3.000000000000001"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [1. 2. 3.; 1. 3. 6.; 1. 4. 5.]\n",
    "A = qrhous!(A)\n",
    "b = [1., 2, 3]\n",
    "x = A \\ b\n",
    "@show x\n",
    "A * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "afd34800-7b9a-4006-9849-071fa197d962",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = [5.810770900369532e-16, 0.4999999999999994]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " 0.9999999999999993\n",
       " 1.9999999999999993\n",
       " 2.999999999999999"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra: \\, qr\n",
    "A = [1. 2.; 3. 4.; 5. 6.]\n",
    "(Q, R) = qr(A)\n",
    "x = A \\ [1., 2, 3]\n",
    "@show x\n",
    "A * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d7d24c53-5485-4f8a-bea3-3fe4ec1f456b",
   "metadata": {},
   "outputs": [],
   "source": [
    "using BenchmarkTools\n",
    "A=randn(10000, 100)\n",
    "a=deepcopy(A)\n",
    "y=randn(10000);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "652fe3c4-6b44-45e1-9bdc-5d7d41b55c6a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BenchmarkTools.Trial: 11 samples with 1 evaluation.\n",
       " Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m):  \u001b[39m\u001b[36m\u001b[1m458.557 ms\u001b[22m\u001b[39m … \u001b[35m496.613 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m18.11% … 20.40%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m):     \u001b[39m\u001b[34m\u001b[1m475.247 ms               \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m):    \u001b[39m20.13%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m):   \u001b[39m\u001b[32m\u001b[1m475.772 ms\u001b[22m\u001b[39m ± \u001b[32m  8.688 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m):  \u001b[39m19.88% ±  0.73%\n",
       "\n",
       "  \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m█\u001b[39m \u001b[34m \u001b[39m\u001b[39m▃\u001b[32m \u001b[39m\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
       "  \u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m▇\u001b[34m▇\u001b[39m\u001b[39m█\u001b[32m▁\u001b[39m\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m \u001b[39m▁\n",
       "  459 ms\u001b[90m           Histogram: frequency by time\u001b[39m          497 ms \u001b[0m\u001b[1m<\u001b[22m\n",
       "\n",
       " Memory estimate\u001b[90m: \u001b[39m\u001b[33m1.54 GiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m4804\u001b[39m."
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = deepcopy(a)\n",
    "@benchmark begin x = qrhous!($A) \\ $y; end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c8e93f5c-b32c-4334-bd97-9779360d5d81",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BenchmarkTools.Trial: 77 samples with 1 evaluation.\n",
       " Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m):  \u001b[39m\u001b[36m\u001b[1m56.414 ms\u001b[22m\u001b[39m … \u001b[35m98.485 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 0.00%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m):     \u001b[39m\u001b[34m\u001b[1m62.403 ms              \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m):    \u001b[39m0.00%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m):   \u001b[39m\u001b[32m\u001b[1m65.010 ms\u001b[22m\u001b[39m ± \u001b[32m 8.780 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m):  \u001b[39m0.75% ± 1.84%\n",
       "\n",
       "  \u001b[39m \u001b[39m█\u001b[39m▃\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[34m \u001b[39m\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[32m \u001b[39m\u001b[39m \u001b[39m \u001b[39m▄\u001b[39m▂\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
       "  \u001b[39m▆\u001b[39m█\u001b[39m█\u001b[39m▃\u001b[39m▃\u001b[39m▅\u001b[39m▅\u001b[39m▃\u001b[39m▃\u001b[39m▁\u001b[39m▃\u001b[34m▃\u001b[39m\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[32m▁\u001b[39m\u001b[39m▃\u001b[39m▁\u001b[39m█\u001b[39m█\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▄\u001b[39m▃\u001b[39m▃\u001b[39m▃\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▅\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▄\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m▃\u001b[39m \u001b[39m▁\n",
       "  56.4 ms\u001b[90m         Histogram: frequency by time\u001b[39m          88 ms \u001b[0m\u001b[1m<\u001b[22m\n",
       "\n",
       " Memory estimate\u001b[90m: \u001b[39m\u001b[33m7.92 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m624\u001b[39m."
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra\n",
    "\n",
    "@benchmark begin x = $a \\ $y; end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "43d521a7-6bf4-45c6-abb6-0a07a666570d",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Profile, ProfileSVG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9443e1c4-03dd-46cb-a8ea-652c6862dbcf",
   "metadata": {},
   "outputs": [
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       "<text x=\"14.92\" dx=\"4\" y=\"379.25\">#15 in task.jl:514</text>\n",
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       "<text x=\"14.92\" dx=\"4\" y=\"334.25\">#invokelatest#2 in essentials.jl:819</text>\n",
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       "<text x=\"14.92\" dx=\"4\" y=\"319.25\">execute_request in execute_request.jl:67</text>\n",
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       "<text x=\"14.92\" dx=\"4\" y=\"274.25\">eval in boot.jl:370</text>\n",
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       "<text x=\"17.38\" dx=\"4\" y=\"229.25\">getindex in abstractarray.jl:1296</text>\n",
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       "<text x=\"17.38\" dx=\"4\" y=\"214.25\">_getindex in multidimensional.jl:861</text>\n",
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       "<text x=\"17.38\" dx=\"4\" y=\"199.25\">_unsafe_getindex in multidimensional.jl:873</text>\n",
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       "<text x=\"17.38\" dx=\"4\" y=\"184.25\">similar in abstractarray.jl:838</text>\n",
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       "<text x=\"17.38\" dx=\"4\" y=\"169.25\">similar in array.jl:374</text>\n",
       "<rect x=\"17.38\" y=\"143\" width=\"4.93\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"17.38\" dx=\"4\" y=\"154.25\">Array in boot.jl:486</text>\n",
       "<rect x=\"17.38\" y=\"128\" width=\"4.93\" height=\"15\" rx=\"2\" fill=\"#F6A60A\" data-dinfo=\"./\"/>\n",
       "<text x=\"17.38\" dx=\"4\" y=\"139.25\">Array in boot.jl:477</text>\n",
       "<rect x=\"22.31\" y=\"188\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"199.25\">_unsafe_getindex in multidimensional.jl:875</text>\n",
       "<rect x=\"22.31\" y=\"173\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"184.25\">_unsafe_getindex! in multidimensional.jl:884</text>\n",
       "<rect x=\"22.31\" y=\"158\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"169.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"22.31\" y=\"143\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"154.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"22.31\" y=\"128\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"139.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"34.62\" y=\"218\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"229.25\">- in arraymath.jl:8</text>\n",
       "<rect x=\"34.62\" y=\"203\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"214.25\">broadcast_preserving_zero_d in broadcast.jl:862</text>\n",
       "<rect x=\"34.62\" y=\"188\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"199.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"34.62\" y=\"173\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"184.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"34.62\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"34.62\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"154.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"34.62\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"139.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"34.62\" y=\"113\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"124.25\">+ in int.jl:87</text>\n",
       "<rect x=\"37.08\" y=\"248\" width=\"721.23\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"/Users/elvis/Documents/University/Corsi/Computational Mathematics for Learning and Data Analysis/CMLDA/project/\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"259.25\">qrhous! in thinQR.jl:32</text>\n",
       "<rect x=\"37.08\" y=\"233\" width=\"337.23\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"244.25\">getindex in abstractarray.jl:1296</text>\n",
       "<rect x=\"37.08\" y=\"218\" width=\"337.23\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"229.25\">_getindex in multidimensional.jl:861</text>\n",
       "<rect x=\"37.08\" y=\"203\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:873</text>\n",
       "<rect x=\"37.08\" y=\"188\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"199.25\">similar in abstractarray.jl:838</text>\n",
       "<rect x=\"37.08\" y=\"173\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"184.25\">similar in array.jl:374</text>\n",
       "<rect x=\"37.08\" y=\"158\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"169.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"37.08\" y=\"143\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"154.25\">Array in boot.jl:479</text>\n",
       "<rect x=\"76.46\" y=\"203\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:875</text>\n",
       "<rect x=\"76.46\" y=\"188\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"199.25\">_unsafe_getindex! in multidimensional.jl:884</text>\n",
       "<rect x=\"76.46\" y=\"173\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"184.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"76.46\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:887</text>\n",
       "<rect x=\"78.92\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"78.92\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"78.92\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"78.92\" dx=\"4\" y=\"154.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"81.38\" y=\"203\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:875</text>\n",
       "<rect x=\"81.38\" y=\"188\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"199.25\">_unsafe_getindex! in multidimensional.jl:884</text>\n",
       "<rect x=\"81.38\" y=\"173\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"184.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"81.38\" y=\"158\" width=\"76.31\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:887</text>\n",
       "<rect x=\"157.69\" y=\"158\" width=\"216.62\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"157.69\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"157.69\" y=\"143\" width=\"216.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"157.69\" dx=\"4\" y=\"154.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"374.31\" y=\"233\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"244.25\">setindex! in abstractarray.jl:1399</text>\n",
       "<rect x=\"374.31\" y=\"218\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"229.25\">_setindex! in multidimensional.jl:916</text>\n",
       "<rect x=\"374.31\" y=\"203\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"214.25\">_unsafe_setindex! in multidimensional.jl:927</text>\n",
       "<rect x=\"374.31\" y=\"188\" width=\"86.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"199.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"374.31\" y=\"173\" width=\"41.84\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:930</text>\n",
       "<rect x=\"416.15\" y=\"173\" width=\"39.39\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"416.15\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:932</text>\n",
       "<rect x=\"416.15\" y=\"158\" width=\"39.39\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"416.15\" dx=\"4\" y=\"169.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"455.54\" y=\"173\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:933</text>\n",
       "<rect x=\"455.54\" y=\"158\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"169.25\">iterate in array.jl:893</text>\n",
       "<rect x=\"455.54\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"154.25\">- in int.jl:1042</text>\n",
       "<rect x=\"455.54\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"139.25\">- in int.jl:86</text>\n",
       "<rect x=\"460.46\" y=\"188\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"199.25\">macro expansion in cartesian.jl:66</text>\n",
       "<rect x=\"460.46\" y=\"173\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"184.25\">iterate in range.jl:891</text>\n",
       "<rect x=\"460.46\" y=\"158\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"169.25\">== in promotion.jl:499</text>\n",
       "<rect x=\"467.85\" y=\"233\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"244.25\">- in arraymath.jl:8</text>\n",
       "<rect x=\"467.85\" y=\"218\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"229.25\">broadcast_preserving_zero_d in broadcast.jl:862</text>\n",
       "<rect x=\"467.85\" y=\"203\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"214.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"467.85\" y=\"188\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"199.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"467.85\" y=\"173\" width=\"140.3\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"184.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"467.85\" y=\"158\" width=\"140.3\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"467.85\" y=\"143\" width=\"128\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:77</text>\n",
       "<rect x=\"467.85\" y=\"128\" width=\"128\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"139.25\">macro expansion in broadcast.jl:974</text>\n",
       "<rect x=\"467.85\" y=\"113\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"124.25\">getindex in broadcast.jl:610</text>\n",
       "<rect x=\"467.85\" y=\"98\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"109.25\">_broadcast_getindex in broadcast.jl:655</text>\n",
       "<rect x=\"467.85\" y=\"83\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"94.25\">_getindex in broadcast.jl:679</text>\n",
       "<rect x=\"467.85\" y=\"68\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"79.25\">_broadcast_getindex in broadcast.jl:649</text>\n",
       "<rect x=\"467.85\" y=\"53\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"64.25\">getindex in multidimensional.jl:668</text>\n",
       "<rect x=\"467.85\" y=\"38\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"49.25\">getindex in essentials.jl:14</text>\n",
       "<rect x=\"522\" y=\"113\" width=\"73.85\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"522\" dx=\"4\" y=\"124.25\">setindex! in multidimensional.jl:670</text>\n",
       "<rect x=\"522\" y=\"98\" width=\"73.85\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"522\" dx=\"4\" y=\"109.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"595.85\" y=\"143\" width=\"12.3\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"595.85\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"595.85\" y=\"128\" width=\"12.3\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"595.85\" dx=\"4\" y=\"139.25\">+ in int.jl:87</text>\n",
       "<rect x=\"608.15\" y=\"173\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"184.25\">similar in broadcast.jl:211</text>\n",
       "<rect x=\"608.15\" y=\"158\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"169.25\">similar in broadcast.jl:212</text>\n",
       "<rect x=\"608.15\" y=\"143\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"154.25\">similar in abstractarray.jl:883</text>\n",
       "<rect x=\"608.15\" y=\"128\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"139.25\">similar in abstractarray.jl:884</text>\n",
       "<rect x=\"608.15\" y=\"113\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"124.25\">Array in boot.jl:494</text>\n",
       "<rect x=\"608.15\" y=\"98\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"109.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"608.15\" y=\"83\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"94.25\">Array in boot.jl:479</text>\n",
       "<rect x=\"632.77\" y=\"233\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"/private/tmp/julia-20231114-6658-1ywjgwz/julia-1.9.4/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"244.25\">* in adjtrans.jl:439</text>\n",
       "<rect x=\"632.77\" y=\"218\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"229.25\">broadcast in broadcast.jl:811</text>\n",
       "<rect x=\"632.77\" y=\"203\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"214.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"632.77\" y=\"188\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"199.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"632.77\" y=\"173\" width=\"123.08\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"184.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"632.77\" y=\"158\" width=\"123.08\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"632.77\" y=\"143\" width=\"105.85\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:77</text>\n",
       "<rect x=\"632.77\" y=\"128\" width=\"105.85\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"139.25\">macro expansion in broadcast.jl:974</text>\n",
       "<rect x=\"632.77\" y=\"113\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"124.25\">getindex in broadcast.jl:610</text>\n",
       "<rect x=\"632.77\" y=\"98\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"109.25\">_broadcast_getindex in broadcast.jl:655</text>\n",
       "<rect x=\"632.77\" y=\"83\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"94.25\">_getindex in broadcast.jl:679</text>\n",
       "<rect x=\"632.77\" y=\"68\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"79.25\">_broadcast_getindex in broadcast.jl:649</text>\n",
       "<rect x=\"632.77\" y=\"53\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"64.25\">getindex in multidimensional.jl:668</text>\n",
       "<rect x=\"632.77\" y=\"38\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"49.25\">getindex in essentials.jl:13</text>\n",
       "<rect x=\"652.46\" y=\"113\" width=\"86.16\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"652.46\" dx=\"4\" y=\"124.25\">setindex! in multidimensional.jl:670</text>\n",
       "<rect x=\"652.46\" y=\"98\" width=\"86.16\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"652.46\" dx=\"4\" y=\"109.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"738.62\" y=\"143\" width=\"17.23\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"738.62\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"738.62\" y=\"128\" width=\"17.23\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"738.62\" dx=\"4\" y=\"139.25\">+ in int.jl:87</text>\n",
       "<rect x=\"755.85\" y=\"173\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"184.25\">similar in broadcast.jl:211</text>\n",
       "<rect x=\"755.85\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"169.25\">similar in broadcast.jl:212</text>\n",
       "<rect x=\"755.85\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"154.25\">similar in abstractarray.jl:883</text>\n",
       "<rect x=\"755.85\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"139.25\">similar in abstractarray.jl:884</text>\n",
       "<rect x=\"755.85\" y=\"113\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"124.25\">Array in boot.jl:494</text>\n",
       "<rect x=\"755.85\" y=\"98\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"109.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"755.85\" y=\"83\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"94.25\">Array in boot.jl:479</text>\n",
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       "// \n",
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       "// you may not use this file except in compliance with the License.\n",
       "// You may obtain a copy of the License at\n",
       "// \n",
       "// http://www.apache.org/licenses/LICENSE-2.0\n",
       "// \n",
       "// Unless required by applicable law or agreed to in writing, software\n",
       "// distributed under the License is distributed on an \"AS IS\" BASIS,\n",
       "// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
       "// See the License for the specific language governing permissions and\n",
       "// limitations under the License.\n",
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       "            var b = parseInt(m[3], 16);\n",
       "            return r * 299 + g * 587 + b * 114 < 255 * 650;\n",
       "        }\n",
       "        return true;\n",
       "    };\n",
       "\n",
       "    ProfileSVG.moveAndZoom = function (targetFocusX, targetScaleX, fig, deltaT) {\n",
       "        if (typeof deltaT === 'undefined') {\n",
       "            deltaT = DEFAULT_TRANSITION_TIME;\n",
       "        }\n",
       "\n",
       "        var targetFocusY = fig.cy;\n",
       "        var targetScaleY = 1;\n",
       "\n",
       "        // TODO: dynamically update the transformation while dragging\n",
       "        var mat = fig.viewport.node.transform.baseVal.consolidate().matrix;\n",
       "\n",
       "        var oldScaleX = mat.a;\n",
       "        var oldScaleY = mat.d;\n",
       "        var oldE = mat.e;\n",
       "        var oldF = mat.f;\n",
       "\n",
       "        var targetE = fig.cx - targetScaleX * targetFocusX;\n",
       "        var targetF = fig.cy - targetScaleY * targetFocusY;\n",
       "\n",
       "        fig.focusX = targetFocusX;\n",
       "        fig.focusY = targetFocusY;\n",
       "        fig.scaleX = targetScaleX;\n",
       "        fig.scaleY = targetScaleY;\n",
       "\n",
       "        var rects = undefined;\n",
       "        var pathrects = undefined;\n",
       "        if (fig.roundradius > 0) {\n",
       "            rects = fig.viewport.selectAll('rect');\n",
       "        } else {\n",
       "            pathrects = fig.viewport.selectAll('path');\n",
       "        }\n",
       "\n",
       "        var scaleViewport = function (step) {\n",
       "            var scaleX = oldScaleX + (targetScaleX - oldScaleX) * step;\n",
       "            var scaleY = oldScaleY + (targetScaleY - oldScaleY) * step;\n",
       "\n",
       "            var rMatrix = fig.viewport.node.transform.baseVal.consolidate().matrix;\n",
       "            rMatrix.a = scaleX;\n",
       "            rMatrix.d = scaleY;\n",
       "            rMatrix.e = oldE + (targetE - oldE) * step; // TransX\n",
       "            rMatrix.f = oldF + (targetF - oldF) * step; // TransY\n",
       "\n",
       "            if (rects) {\n",
       "                rects.forEach(function (r) {\n",
       "                    var rect = r.node;\n",
       "                    rect.setAttribute('rx', Math.max(0.0, fig.roundradius / scaleX));\n",
       "                    rect.setAttribute('ry', Math.max(0.0, fig.roundradius / scaleY));\n",
       "                });\n",
       "            }\n",
       "        };\n",
       "\n",
       "        var finish = function () {\n",
       "            scaleViewport(1);\n",
       "            var scaleXt = 1.0 / targetScaleX;\n",
       "            var scaleYt = 1.0 / targetScaleY;\n",
       "            var updateText = function (text, x, y, w, shortinfo) {\n",
       "                var tMatrix = text.transform.baseVal.getItem(0).matrix;\n",
       "                tMatrix.a = scaleXt;\n",
       "                tMatrix.d = scaleYt;\n",
       "                tMatrix.e = (1.0 - scaleXt) * x;\n",
       "                tMatrix.f = (1.0 - scaleYt) * y;\n",
       "\n",
       "                text.firstChild.nodeValue = formatText(fig, shortinfo, w / scaleXt);\n",
       "                text.style.display = 'inherit';\n",
       "            };\n",
       "            if (rects) {\n",
       "                rects.forEach(function (r) {\n",
       "                    var rect = r.node;\n",
       "                    var x = rect.x.baseVal.value;\n",
       "                    var y = rect.y.baseVal.value;\n",
       "                    var w = rect.width.baseVal.value;\n",
       "                    var shortinfo = rect.getAttribute('data-shortinfo');\n",
       "                    updateText(rect.nextElementSibling, x, y, w, shortinfo);\n",
       "                });\n",
       "            }\n",
       "            if (pathrects) {\n",
       "                pathrects.forEach(function (p) {\n",
       "                    var path = p.node;\n",
       "                    // The API compatibility of path segments is problematic.\n",
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       "                    var values = d.match(/^M\\s*([\\d.]+)[\\s,]+(-?[\\d.]+)[^h]+h\\s*([\\d.]+)/);\n",
       "                    var x = Number(values[1]);\n",
       "                    var y = Number(values[2]);\n",
       "                    var w = Number(values[3]);\n",
       "                    var shortinfo = path.getAttribute('data-shortinfo');\n",
       "                    updateText(path.nextElementSibling, x, y, w, shortinfo);\n",
       "                });\n",
       "            }\n",
       "        };\n",
       "\n",
       "        if (deltaT != 0) {\n",
       "            if (!fig.notext) {\n",
       "                fig.viewport.selectAll('text').forEach(function (text) {\n",
       "                    text.node.style.display = 'none';\n",
       "                });\n",
       "            }\n",
       "            Snap.animate(0, 1, scaleViewport, deltaT, null, fig.notext ? null : finish);\n",
       "        } else {\n",
       "            if (!fig.notext) {\n",
       "                finish();\n",
       "            }\n",
       "        }\n",
       "\n",
       "    };\n",
       "\n",
       "    ProfileSVG.reset = function (fig) {\n",
       "        var w = fig.width - VIEWPORT_MARGIN_X;\n",
       "        var targetScaleX = fig.width / w * VIEWPORT_SCALE;\n",
       "        ProfileSVG.moveAndZoom(fig.cx, targetScaleX, fig);\n",
       "    };\n",
       "\n",
       "    ProfileSVG.initialize = function (figId) {\n",
       "\n",
       "        var svg = Snap.select('#' + figId);\n",
       "        var fig = {};\n",
       "        fig.id = figId;\n",
       "\n",
       "        var bg = svg.select('#' + figId + '-bg');\n",
       "        var bbox = bg.getBBox();\n",
       "        fig.width = bbox.width;\n",
       "        fig.height = bbox.height;\n",
       "        fig.cx = fig.width / 2;\n",
       "        fig.cy = fig.height / 2;\n",
       "\n",
       "        fig.viewport = svg.select('#' + figId + '-viewport');\n",
       "\n",
       "        fig.xstep = fig.viewport.node.getAttribute('data-xstep');\n",
       "        fig.tunit = fig.viewport.node.getAttribute('data-tunit');\n",
       "        fig.delay = fig.viewport.node.getAttribute('data-delay');\n",
       "\n",
       "        var texts = fig.viewport.selectAll('text');\n",
       "        fig.notext = false;\n",
       "        if (texts[0]) {\n",
       "            fig.notext = getComputedStyle(texts[0].node).strokeOpacity == 0.0;\n",
       "            texts.forEach(function (text) {\n",
       "                text.node.style.display = 'none';\n",
       "            });\n",
       "        }\n",
       "        texts = null;\n",
       "\n",
       "        fig.roundradius = 0.0;\n",
       "        var rect = fig.viewport.select('rect');\n",
       "        if (rect) {\n",
       "            fig.roundradius = rect.node.rx.baseVal.value;\n",
       "        }\n",
       "\n",
       "        fig.scaleX = 1.0;\n",
       "        fig.scaleY = 1.0; // prepare for the future\n",
       "        fig.focusX = fig.cx; // center x in the raw (scaleX=1) coordinate space\n",
       "        fig.focusY = fig.cy; // center y in the raw (scaleY=1) coordinate space\n",
       "\n",
       "        var textBg = document.createElementNS(NS_SVG, 'rect');\n",
       "        var detail = document.createElementNS(NS_SVG, 'text');\n",
       "        var time = document.createElementNS(NS_SVG, 'text');\n",
       "        detail.style.visibility = 'hidden';\n",
       "        detail.textContent = 'MOw';\n",
       "        fig.viewport.node.parentNode.appendChild(textBg);\n",
       "        fig.viewport.node.parentNode.appendChild(detail);\n",
       "        fig.viewport.node.parentNode.appendChild(time);\n",
       "        var mBBox = detail.getBBox();\n",
       "        fig.charWidthM = mBBox.width / 3;\n",
       "        detail.textContent = 'night';\n",
       "        var nBBox = detail.getBBox();\n",
       "        fig.charWidthN = nBBox.width / 5;\n",
       "        fig.textHeight = nBBox.height;\n",
       "        detail.style.display = 'none';\n",
       "        detail.style.visibility = 'visible';\n",
       "\n",
       "        detail.setAttribute('id', figId + '-details');\n",
       "        detail.setAttribute('x', fig.charWidthM);\n",
       "        detail.setAttribute('y', fig.height - fig.textHeight * 0.75);\n",
       "\n",
       "        time.setAttribute('x', fig.width - fig.charWidthM * 10);\n",
       "        time.setAttribute('y', fig.height - fig.textHeight * 0.75);\n",
       "\n",
       "        textBg.setAttribute('x', 0);\n",
       "        textBg.setAttribute('y', fig.height - fig.textHeight * 2);\n",
       "        textBg.setAttribute('width', fig.width);\n",
       "        textBg.setAttribute('height', fig.textHeight * 2);\n",
       "        var textBgFill = getComputedStyle(textBg).fill;\n",
       "        if (textBgFill == \"rgba(0, 0, 0, 0)\" || textBgFill == \"transparent\") {\n",
       "            var isDark = isDarkColor(getComputedStyle(detail).fill);\n",
       "            textBg.style.fill = isDark ? 'white' : 'black';\n",
       "        }\n",
       "        textBg.style.display = 'none';\n",
       "\n",
       "        ProfileSVG.reset(fig);\n",
       "\n",
       "        var rectDblClickHandler = function (e) {\n",
       "            var bbox = e.target.getBBox();\n",
       "            var cx = bbox.x + bbox.width / 2;\n",
       "            var targetScaleX = fig.width / bbox.width * VIEWPORT_SCALE;\n",
       "            ProfileSVG.moveAndZoom(cx, targetScaleX, fig);\n",
       "        };\n",
       "\n",
       "        var rectMouseOverHandler = function (e) {\n",
       "            var rect = e.target;\n",
       "            var text = rect.nextElementSibling;\n",
       "            var details = document.getElementById(fig.id + '-details');\n",
       "            text.style.strokeWidth = '1';\n",
       "            var sinfo = rect.getAttribute('data-shortinfo');\n",
       "            var dir = rect.getAttribute('data-dinfo');\n",
       "            var i = sinfo.indexOf(' in ');\n",
       "            var func = sinfo.slice(0, i + 4);\n",
       "            var file = sinfo.slice(i + 4);\n",
       "            var time = details.nextElementSibling;\n",
       "            details.textContent = 'Function: ' + func + dir + file;\n",
       "            details.style.display = 'inherit';\n",
       "            if (fig.delay) {\n",
       "                var count = Math.round(rect.width.baseVal.value / fig.xstep);\n",
       "                var t = count * (fig.tunit === 's' ? fig.delay :\n",
       "                    fig.tunit === 'ms' ? fig.delay * 1e3 :\n",
       "                        fig.tunit === 'us' || fig.tunit === 'μs' ? fig.delay * 1e6 : 1);\n",
       "                var tp = Math.round(t * 1000) / 1000;\n",
       "                time.textContent = 'Time: ' + tp + ' ' + fig.tunit;\n",
       "                time.style.display = 'inherit';\n",
       "            }\n",
       "            details.previousElementSibling.style.display = 'inherit';\n",
       "        };\n",
       "        var rectMouseOutHandler = function (e) {\n",
       "            var rect = e.target;\n",
       "            var text = rect.nextElementSibling;\n",
       "            var details = document.getElementById(fig.id + '-details');\n",
       "            text.style.strokeWidth = '0';\n",
       "            details.style.display = 'none';\n",
       "            details.previousElementSibling.style.display = 'none';\n",
       "            details.nextElementSibling.style.display = 'none';\n",
       "        };\n",
       "\n",
       "        var rects = fig.viewport.selectAll(fig.roundradius > 0 ? 'rect' : 'path');\n",
       "        rects.forEach(function (r) {\n",
       "            var rect = r.node;\n",
       "            var text = rect.nextElementSibling;\n",
       "            rect.setAttribute('data-shortinfo', unescapeHtml(text.textContent));\n",
       "            var dir = unescapeHtml(rect.getAttribute('data-dinfo'));\n",
       "            rect.setAttribute('data-dinfo', dir);\n",
       "            rect.addEventListener('dblclick', rectDblClickHandler, false);\n",
       "            rect.addEventListener('mouseover', rectMouseOverHandler, false);\n",
       "            rect.addEventListener('mouseout', rectMouseOutHandler, false);\n",
       "            var transform = svg.node.createSVGTransform();\n",
       "            text.transform.baseVal.initialize(transform); // matrix(1, 0, 0, 1, 0, 0)\n",
       "        });\n",
       "        rects = null;\n",
       "\n",
       "        bg.dblclick(function () {\n",
       "            ProfileSVG.reset(fig);\n",
       "        });\n",
       "\n",
       "        var mouseWheelHandler = throttle(400, stopper, function (e) {\n",
       "            var delta = Math.round(e.deltaY * 100);\n",
       "            if (delta == 0) {\n",
       "                return;\n",
       "            }\n",
       "            var scale = delta < 0 ? ZOOM_STEP : 1 / ZOOM_STEP;\n",
       "\n",
       "            var clientRect = svg.node.getBoundingClientRect();\n",
       "            var mx = e.clientX - clientRect.left;\n",
       "            //var my = e.clientY - clientRect.top;\n",
       "            var ctm = svg.node.getCTM();\n",
       "            var x = ctm ? (mx - ctm.e) / ctm.a : mx;\n",
       "            //var y = ctm ? (my - ctm.f) / ctm.d : my;\n",
       "            var px = (x - fig.cx) / fig.scaleX + fig.focusX;\n",
       "            var targetScaleX = Math.max(fig.scaleX * scale, 0.01);\n",
       "            var targetFocusX = fig.scaleX / targetScaleX * (fig.focusX - px) + px;\n",
       "            ProfileSVG.moveAndZoom(targetFocusX, targetScaleX, fig, 400);\n",
       "        });\n",
       "\n",
       "        svg.node.addEventListener('wheel', mouseWheelHandler, supportsPassive ? {\n",
       "            passive: false\n",
       "        } : false);\n",
       "\n",
       "        fig.viewport.drag();\n",
       "    };\n",
       "\n",
       "    return ProfileSVG;\n",
       "}));\n",
       "\n",
       "]]></script>\n",
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       "    require(['ProfileSVG'], function (ProfileSVG) {\n",
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       "<text x=\"22.31\" dx=\"4\" y=\"169.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"22.31\" y=\"143\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"154.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"22.31\" y=\"128\" width=\"12.31\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"22.31\" dx=\"4\" y=\"139.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"34.62\" y=\"218\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"229.25\">- in arraymath.jl:8</text>\n",
       "<rect x=\"34.62\" y=\"203\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"214.25\">broadcast_preserving_zero_d in broadcast.jl:862</text>\n",
       "<rect x=\"34.62\" y=\"188\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"199.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"34.62\" y=\"173\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"184.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"34.62\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"34.62\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"154.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"34.62\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"139.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"34.62\" y=\"113\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"34.62\" dx=\"4\" y=\"124.25\">+ in int.jl:87</text>\n",
       "<rect x=\"37.08\" y=\"248\" width=\"721.23\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"/Users/elvis/Documents/University/Corsi/Computational Mathematics for Learning and Data Analysis/CMLDA/project/\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"259.25\">qrhous! in thinQR.jl:32</text>\n",
       "<rect x=\"37.08\" y=\"233\" width=\"337.23\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"244.25\">getindex in abstractarray.jl:1296</text>\n",
       "<rect x=\"37.08\" y=\"218\" width=\"337.23\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"229.25\">_getindex in multidimensional.jl:861</text>\n",
       "<rect x=\"37.08\" y=\"203\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:873</text>\n",
       "<rect x=\"37.08\" y=\"188\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"199.25\">similar in abstractarray.jl:838</text>\n",
       "<rect x=\"37.08\" y=\"173\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"184.25\">similar in array.jl:374</text>\n",
       "<rect x=\"37.08\" y=\"158\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"169.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"37.08\" y=\"143\" width=\"39.38\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"37.08\" dx=\"4\" y=\"154.25\">Array in boot.jl:479</text>\n",
       "<rect x=\"76.46\" y=\"203\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:875</text>\n",
       "<rect x=\"76.46\" y=\"188\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"199.25\">_unsafe_getindex! in multidimensional.jl:884</text>\n",
       "<rect x=\"76.46\" y=\"173\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"184.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"76.46\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"76.46\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:887</text>\n",
       "<rect x=\"78.92\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"78.92\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"78.92\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"78.92\" dx=\"4\" y=\"154.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"81.38\" y=\"203\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"214.25\">_unsafe_getindex in multidimensional.jl:875</text>\n",
       "<rect x=\"81.38\" y=\"188\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"199.25\">_unsafe_getindex! in multidimensional.jl:884</text>\n",
       "<rect x=\"81.38\" y=\"173\" width=\"292.93\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"184.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"81.38\" y=\"158\" width=\"76.31\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"81.38\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:887</text>\n",
       "<rect x=\"157.69\" y=\"158\" width=\"216.62\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"157.69\" dx=\"4\" y=\"169.25\">macro expansion in multidimensional.jl:889</text>\n",
       "<rect x=\"157.69\" y=\"143\" width=\"216.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"157.69\" dx=\"4\" y=\"154.25\">setindex! in array.jl:969</text>\n",
       "<rect x=\"374.31\" y=\"233\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"244.25\">setindex! in abstractarray.jl:1399</text>\n",
       "<rect x=\"374.31\" y=\"218\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"229.25\">_setindex! in multidimensional.jl:916</text>\n",
       "<rect x=\"374.31\" y=\"203\" width=\"93.54\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"214.25\">_unsafe_setindex! in multidimensional.jl:927</text>\n",
       "<rect x=\"374.31\" y=\"188\" width=\"86.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"199.25\">macro expansion in cartesian.jl:64</text>\n",
       "<rect x=\"374.31\" y=\"173\" width=\"41.84\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"374.31\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:930</text>\n",
       "<rect x=\"416.15\" y=\"173\" width=\"39.39\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"416.15\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:932</text>\n",
       "<rect x=\"416.15\" y=\"158\" width=\"39.39\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"416.15\" dx=\"4\" y=\"169.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"455.54\" y=\"173\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"184.25\">macro expansion in multidimensional.jl:933</text>\n",
       "<rect x=\"455.54\" y=\"158\" width=\"4.92\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"169.25\">iterate in array.jl:893</text>\n",
       "<rect x=\"455.54\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"154.25\">- in int.jl:1042</text>\n",
       "<rect x=\"455.54\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"455.54\" dx=\"4\" y=\"139.25\">- in int.jl:86</text>\n",
       "<rect x=\"460.46\" y=\"188\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"199.25\">macro expansion in cartesian.jl:66</text>\n",
       "<rect x=\"460.46\" y=\"173\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"184.25\">iterate in range.jl:891</text>\n",
       "<rect x=\"460.46\" y=\"158\" width=\"7.39\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"460.46\" dx=\"4\" y=\"169.25\">== in promotion.jl:499</text>\n",
       "<rect x=\"467.85\" y=\"233\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"244.25\">- in arraymath.jl:8</text>\n",
       "<rect x=\"467.85\" y=\"218\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"229.25\">broadcast_preserving_zero_d in broadcast.jl:862</text>\n",
       "<rect x=\"467.85\" y=\"203\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"214.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"467.85\" y=\"188\" width=\"164.92\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"199.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"467.85\" y=\"173\" width=\"140.3\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"184.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"467.85\" y=\"158\" width=\"140.3\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"467.85\" y=\"143\" width=\"128\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:77</text>\n",
       "<rect x=\"467.85\" y=\"128\" width=\"128\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"139.25\">macro expansion in broadcast.jl:974</text>\n",
       "<rect x=\"467.85\" y=\"113\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"124.25\">getindex in broadcast.jl:610</text>\n",
       "<rect x=\"467.85\" y=\"98\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"109.25\">_broadcast_getindex in broadcast.jl:655</text>\n",
       "<rect x=\"467.85\" y=\"83\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"94.25\">_getindex in broadcast.jl:679</text>\n",
       "<rect x=\"467.85\" y=\"68\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"79.25\">_broadcast_getindex in broadcast.jl:649</text>\n",
       "<rect x=\"467.85\" y=\"53\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"64.25\">getindex in multidimensional.jl:668</text>\n",
       "<rect x=\"467.85\" y=\"38\" width=\"54.15\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"467.85\" dx=\"4\" y=\"49.25\">getindex in essentials.jl:14</text>\n",
       "<rect x=\"522\" y=\"113\" width=\"73.85\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"522\" dx=\"4\" y=\"124.25\">setindex! in multidimensional.jl:670</text>\n",
       "<rect x=\"522\" y=\"98\" width=\"73.85\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"522\" dx=\"4\" y=\"109.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"595.85\" y=\"143\" width=\"12.3\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"595.85\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"595.85\" y=\"128\" width=\"12.3\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"595.85\" dx=\"4\" y=\"139.25\">+ in int.jl:87</text>\n",
       "<rect x=\"608.15\" y=\"173\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"184.25\">similar in broadcast.jl:211</text>\n",
       "<rect x=\"608.15\" y=\"158\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"169.25\">similar in broadcast.jl:212</text>\n",
       "<rect x=\"608.15\" y=\"143\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"154.25\">similar in abstractarray.jl:883</text>\n",
       "<rect x=\"608.15\" y=\"128\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"139.25\">similar in abstractarray.jl:884</text>\n",
       "<rect x=\"608.15\" y=\"113\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"124.25\">Array in boot.jl:494</text>\n",
       "<rect x=\"608.15\" y=\"98\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"109.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"608.15\" y=\"83\" width=\"24.62\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"608.15\" dx=\"4\" y=\"94.25\">Array in boot.jl:479</text>\n",
       "<rect x=\"632.77\" y=\"233\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"/private/tmp/julia-20231114-6658-1ywjgwz/julia-1.9.4/usr/share/julia/stdlib/v1.9/LinearAlgebra/src/\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"244.25\">* in adjtrans.jl:439</text>\n",
       "<rect x=\"632.77\" y=\"218\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"229.25\">broadcast in broadcast.jl:811</text>\n",
       "<rect x=\"632.77\" y=\"203\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"214.25\">materialize in broadcast.jl:873</text>\n",
       "<rect x=\"632.77\" y=\"188\" width=\"125.54\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"199.25\">copy in broadcast.jl:898</text>\n",
       "<rect x=\"632.77\" y=\"173\" width=\"123.08\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"184.25\">copyto! in broadcast.jl:926</text>\n",
       "<rect x=\"632.77\" y=\"158\" width=\"123.08\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"169.25\">copyto! in broadcast.jl:973</text>\n",
       "<rect x=\"632.77\" y=\"143\" width=\"105.85\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:77</text>\n",
       "<rect x=\"632.77\" y=\"128\" width=\"105.85\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"139.25\">macro expansion in broadcast.jl:974</text>\n",
       "<rect x=\"632.77\" y=\"113\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"124.25\">getindex in broadcast.jl:610</text>\n",
       "<rect x=\"632.77\" y=\"98\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"109.25\">_broadcast_getindex in broadcast.jl:655</text>\n",
       "<rect x=\"632.77\" y=\"83\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"94.25\">_getindex in broadcast.jl:679</text>\n",
       "<rect x=\"632.77\" y=\"68\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"79.25\">_broadcast_getindex in broadcast.jl:649</text>\n",
       "<rect x=\"632.77\" y=\"53\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"64.25\">getindex in multidimensional.jl:668</text>\n",
       "<rect x=\"632.77\" y=\"38\" width=\"19.69\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"632.77\" dx=\"4\" y=\"49.25\">getindex in essentials.jl:13</text>\n",
       "<rect x=\"652.46\" y=\"113\" width=\"86.16\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"652.46\" dx=\"4\" y=\"124.25\">setindex! in multidimensional.jl:670</text>\n",
       "<rect x=\"652.46\" y=\"98\" width=\"86.16\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"652.46\" dx=\"4\" y=\"109.25\">setindex! in array.jl:971</text>\n",
       "<rect x=\"738.62\" y=\"143\" width=\"17.23\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"738.62\" dx=\"4\" y=\"154.25\">macro expansion in simdloop.jl:78</text>\n",
       "<rect x=\"738.62\" y=\"128\" width=\"17.23\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"738.62\" dx=\"4\" y=\"139.25\">+ in int.jl:87</text>\n",
       "<rect x=\"755.85\" y=\"173\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#6FDC91\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"184.25\">similar in broadcast.jl:211</text>\n",
       "<rect x=\"755.85\" y=\"158\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#00B58B\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"169.25\">similar in broadcast.jl:212</text>\n",
       "<rect x=\"755.85\" y=\"143\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"154.25\">similar in abstractarray.jl:883</text>\n",
       "<rect x=\"755.85\" y=\"128\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"139.25\">similar in abstractarray.jl:884</text>\n",
       "<rect x=\"755.85\" y=\"113\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#E1B2FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"124.25\">Array in boot.jl:494</text>\n",
       "<rect x=\"755.85\" y=\"98\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#2CA3FF\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"109.25\">Array in boot.jl:487</text>\n",
       "<rect x=\"755.85\" y=\"83\" width=\"2.46\" height=\"15\" rx=\"2\" fill=\"#FFA400\" data-dinfo=\"./\"/>\n",
       "<text x=\"755.85\" dx=\"4\" y=\"94.25\">Array in boot.jl:479</text>\n",
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       "// Snap.svg 0.3.0\n",
       "// \n",
       "// Copyright (c) 2013 Adobe Systems Incorporated. All rights reserved.\n",
       "// \n",
       "// Licensed under the Apache License, Version 2.0 (the \"License\");\n",
       "// you may not use this file except in compliance with the License.\n",
       "// You may obtain a copy of the License at\n",
       "// \n",
       "// http://www.apache.org/licenses/LICENSE-2.0\n",
       "// \n",
       "// Unless required by applicable law or agreed to in writing, software\n",
       "// distributed under the License is distributed on an \"AS IS\" BASIS,\n",
       "// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
       "// See the License for the specific language governing permissions and\n",
       "// limitations under the License.\n",
       "// \n",
       "// build: 2014-06-03\n",
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       "]]></script>\n",
       "<script><![CDATA[\n",
       "(function (glob, factory) {\n",
       "    if (typeof define === 'function' && define.amd) {\n",
       "        define('ProfileSVG', ['ProfileSVG/snap.svg'], function (Snap) {\n",
       "            return factory(Snap);\n",
       "        });\n",
       "    } else {\n",
       "        glob.ProfileSVG = factory(glob.Snap);\n",
       "    }\n",
       "}(this, function (Snap) {\n",
       "    'use strict';\n",
       "\n",
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       "        var opts = Object.defineProperty({}, 'passive', {\n",
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       "        window.addEventListener(\"testPassive\", null, opts);\n",
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       "    } catch (e) { // not supported\n",
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       "\n",
       "    var stopper = function (e) {\n",
       "        e.preventDefault();\n",
       "        e.stopPropagation();\n",
       "    };\n",
       "\n",
       "    var throttle = function (delay, filter, callback) {\n",
       "        var previousCall = new Date().getTime();\n",
       "        return function (e) {\n",
       "            var time = new Date().getTime();\n",
       "            if ((time - previousCall) >= delay) {\n",
       "                previousCall = time;\n",
       "                callback.apply(null, arguments);\n",
       "            }\n",
       "            filter(e);\n",
       "        };\n",
       "    };\n",
       "\n",
       "\n",
       "    var ProfileSVG = {};\n",
       "\n",
       "    var NS_SVG = 'http://www.w3.org/2000/svg';\n",
       "    var DEFAULT_TRANSITION_TIME = 300;\n",
       "    var ZOOM_STEP = 1.4;\n",
       "    var VIEWPORT_SCALE = 0.9;\n",
       "    var VIEWPORT_MARGIN_X = 20;\n",
       "\n",
       "    var formatText = function (fig, text, availableWidth) {\n",
       "        if (availableWidth < 3 * fig.charWidthM) {\n",
       "            return '';\n",
       "        }\n",
       "        var w = availableWidth;\n",
       "        var m = fig.charWidthM;\n",
       "        var n = fig.charWidthN;\n",
       "        var m2 = m * m;\n",
       "        var n2 = n * n;\n",
       "        var nc = 0.5 / n2 * (\n",
       "            (n - m) * Math.sqrt(n2 + (4 * w - 2 * m) * n + m2) + n2 + 2 * (w - m) * n + m2);\n",
       "        var nchars = Math.ceil(nc);\n",
       "        if (text.length <= nchars) {\n",
       "            return text;\n",
       "        }\n",
       "        return text.slice(0, nchars - 2) + '..';\n",
       "    };\n",
       "\n",
       "    var unescapeHtml = function (str) {\n",
       "        return str\n",
       "            .replace(/&lt;/g, '<')\n",
       "            .replace(/&gt;/g, '>')\n",
       "            .replace(/&amp;/g, '&');\n",
       "    };\n",
       "\n",
       "    var isDarkColor = function (c) {\n",
       "        var m = c.match(/^rgba?\\(\\s*(\\d+)[\\s,]+(\\d+)[\\s,]+(\\d+)/);\n",
       "        if (m) {\n",
       "            return m[1] * 299 + m[2] * 587 + m[3] * 114 < 255 * 650;\n",
       "        }\n",
       "        m = c.match(/^#([\\dA-F]{2})([\\dA-F]{2})([\\dA-F]{2})/i);\n",
       "        if (m) {\n",
       "            var r = parseInt(m[1], 16);\n",
       "            var g = parseInt(m[2], 16);\n",
       "            var b = parseInt(m[3], 16);\n",
       "            return r * 299 + g * 587 + b * 114 < 255 * 650;\n",
       "        }\n",
       "        return true;\n",
       "    };\n",
       "\n",
       "    ProfileSVG.moveAndZoom = function (targetFocusX, targetScaleX, fig, deltaT) {\n",
       "        if (typeof deltaT === 'undefined') {\n",
       "            deltaT = DEFAULT_TRANSITION_TIME;\n",
       "        }\n",
       "\n",
       "        var targetFocusY = fig.cy;\n",
       "        var targetScaleY = 1;\n",
       "\n",
       "        // TODO: dynamically update the transformation while dragging\n",
       "        var mat = fig.viewport.node.transform.baseVal.consolidate().matrix;\n",
       "\n",
       "        var oldScaleX = mat.a;\n",
       "        var oldScaleY = mat.d;\n",
       "        var oldE = mat.e;\n",
       "        var oldF = mat.f;\n",
       "\n",
       "        var targetE = fig.cx - targetScaleX * targetFocusX;\n",
       "        var targetF = fig.cy - targetScaleY * targetFocusY;\n",
       "\n",
       "        fig.focusX = targetFocusX;\n",
       "        fig.focusY = targetFocusY;\n",
       "        fig.scaleX = targetScaleX;\n",
       "        fig.scaleY = targetScaleY;\n",
       "\n",
       "        var rects = undefined;\n",
       "        var pathrects = undefined;\n",
       "        if (fig.roundradius > 0) {\n",
       "            rects = fig.viewport.selectAll('rect');\n",
       "        } else {\n",
       "            pathrects = fig.viewport.selectAll('path');\n",
       "        }\n",
       "\n",
       "        var scaleViewport = function (step) {\n",
       "            var scaleX = oldScaleX + (targetScaleX - oldScaleX) * step;\n",
       "            var scaleY = oldScaleY + (targetScaleY - oldScaleY) * step;\n",
       "\n",
       "            var rMatrix = fig.viewport.node.transform.baseVal.consolidate().matrix;\n",
       "            rMatrix.a = scaleX;\n",
       "            rMatrix.d = scaleY;\n",
       "            rMatrix.e = oldE + (targetE - oldE) * step; // TransX\n",
       "            rMatrix.f = oldF + (targetF - oldF) * step; // TransY\n",
       "\n",
       "            if (rects) {\n",
       "                rects.forEach(function (r) {\n",
       "                    var rect = r.node;\n",
       "                    rect.setAttribute('rx', Math.max(0.0, fig.roundradius / scaleX));\n",
       "                    rect.setAttribute('ry', Math.max(0.0, fig.roundradius / scaleY));\n",
       "                });\n",
       "            }\n",
       "        };\n",
       "\n",
       "        var finish = function () {\n",
       "            scaleViewport(1);\n",
       "            var scaleXt = 1.0 / targetScaleX;\n",
       "            var scaleYt = 1.0 / targetScaleY;\n",
       "            var updateText = function (text, x, y, w, shortinfo) {\n",
       "                var tMatrix = text.transform.baseVal.getItem(0).matrix;\n",
       "                tMatrix.a = scaleXt;\n",
       "                tMatrix.d = scaleYt;\n",
       "                tMatrix.e = (1.0 - scaleXt) * x;\n",
       "                tMatrix.f = (1.0 - scaleYt) * y;\n",
       "\n",
       "                text.firstChild.nodeValue = formatText(fig, shortinfo, w / scaleXt);\n",
       "                text.style.display = 'inherit';\n",
       "            };\n",
       "            if (rects) {\n",
       "                rects.forEach(function (r) {\n",
       "                    var rect = r.node;\n",
       "                    var x = rect.x.baseVal.value;\n",
       "                    var y = rect.y.baseVal.value;\n",
       "                    var w = rect.width.baseVal.value;\n",
       "                    var shortinfo = rect.getAttribute('data-shortinfo');\n",
       "                    updateText(rect.nextElementSibling, x, y, w, shortinfo);\n",
       "                });\n",
       "            }\n",
       "            if (pathrects) {\n",
       "                pathrects.forEach(function (p) {\n",
       "                    var path = p.node;\n",
       "                    // The API compatibility of path segments is problematic.\n",
       "                    var d = path.getAttribute('d');\n",
       "                    var values = d.match(/^M\\s*([\\d.]+)[\\s,]+(-?[\\d.]+)[^h]+h\\s*([\\d.]+)/);\n",
       "                    var x = Number(values[1]);\n",
       "                    var y = Number(values[2]);\n",
       "                    var w = Number(values[3]);\n",
       "                    var shortinfo = path.getAttribute('data-shortinfo');\n",
       "                    updateText(path.nextElementSibling, x, y, w, shortinfo);\n",
       "                });\n",
       "            }\n",
       "        };\n",
       "\n",
       "        if (deltaT != 0) {\n",
       "            if (!fig.notext) {\n",
       "                fig.viewport.selectAll('text').forEach(function (text) {\n",
       "                    text.node.style.display = 'none';\n",
       "                });\n",
       "            }\n",
       "            Snap.animate(0, 1, scaleViewport, deltaT, null, fig.notext ? null : finish);\n",
       "        } else {\n",
       "            if (!fig.notext) {\n",
       "                finish();\n",
       "            }\n",
       "        }\n",
       "\n",
       "    };\n",
       "\n",
       "    ProfileSVG.reset = function (fig) {\n",
       "        var w = fig.width - VIEWPORT_MARGIN_X;\n",
       "        var targetScaleX = fig.width / w * VIEWPORT_SCALE;\n",
       "        ProfileSVG.moveAndZoom(fig.cx, targetScaleX, fig);\n",
       "    };\n",
       "\n",
       "    ProfileSVG.initialize = function (figId) {\n",
       "\n",
       "        var svg = Snap.select('#' + figId);\n",
       "        var fig = {};\n",
       "        fig.id = figId;\n",
       "\n",
       "        var bg = svg.select('#' + figId + '-bg');\n",
       "        var bbox = bg.getBBox();\n",
       "        fig.width = bbox.width;\n",
       "        fig.height = bbox.height;\n",
       "        fig.cx = fig.width / 2;\n",
       "        fig.cy = fig.height / 2;\n",
       "\n",
       "        fig.viewport = svg.select('#' + figId + '-viewport');\n",
       "\n",
       "        fig.xstep = fig.viewport.node.getAttribute('data-xstep');\n",
       "        fig.tunit = fig.viewport.node.getAttribute('data-tunit');\n",
       "        fig.delay = fig.viewport.node.getAttribute('data-delay');\n",
       "\n",
       "        var texts = fig.viewport.selectAll('text');\n",
       "        fig.notext = false;\n",
       "        if (texts[0]) {\n",
       "            fig.notext = getComputedStyle(texts[0].node).strokeOpacity == 0.0;\n",
       "            texts.forEach(function (text) {\n",
       "                text.node.style.display = 'none';\n",
       "            });\n",
       "        }\n",
       "        texts = null;\n",
       "\n",
       "        fig.roundradius = 0.0;\n",
       "        var rect = fig.viewport.select('rect');\n",
       "        if (rect) {\n",
       "            fig.roundradius = rect.node.rx.baseVal.value;\n",
       "        }\n",
       "\n",
       "        fig.scaleX = 1.0;\n",
       "        fig.scaleY = 1.0; // prepare for the future\n",
       "        fig.focusX = fig.cx; // center x in the raw (scaleX=1) coordinate space\n",
       "        fig.focusY = fig.cy; // center y in the raw (scaleY=1) coordinate space\n",
       "\n",
       "        var textBg = document.createElementNS(NS_SVG, 'rect');\n",
       "        var detail = document.createElementNS(NS_SVG, 'text');\n",
       "        var time = document.createElementNS(NS_SVG, 'text');\n",
       "        detail.style.visibility = 'hidden';\n",
       "        detail.textContent = 'MOw';\n",
       "        fig.viewport.node.parentNode.appendChild(textBg);\n",
       "        fig.viewport.node.parentNode.appendChild(detail);\n",
       "        fig.viewport.node.parentNode.appendChild(time);\n",
       "        var mBBox = detail.getBBox();\n",
       "        fig.charWidthM = mBBox.width / 3;\n",
       "        detail.textContent = 'night';\n",
       "        var nBBox = detail.getBBox();\n",
       "        fig.charWidthN = nBBox.width / 5;\n",
       "        fig.textHeight = nBBox.height;\n",
       "        detail.style.display = 'none';\n",
       "        detail.style.visibility = 'visible';\n",
       "\n",
       "        detail.setAttribute('id', figId + '-details');\n",
       "        detail.setAttribute('x', fig.charWidthM);\n",
       "        detail.setAttribute('y', fig.height - fig.textHeight * 0.75);\n",
       "\n",
       "        time.setAttribute('x', fig.width - fig.charWidthM * 10);\n",
       "        time.setAttribute('y', fig.height - fig.textHeight * 0.75);\n",
       "\n",
       "        textBg.setAttribute('x', 0);\n",
       "        textBg.setAttribute('y', fig.height - fig.textHeight * 2);\n",
       "        textBg.setAttribute('width', fig.width);\n",
       "        textBg.setAttribute('height', fig.textHeight * 2);\n",
       "        var textBgFill = getComputedStyle(textBg).fill;\n",
       "        if (textBgFill == \"rgba(0, 0, 0, 0)\" || textBgFill == \"transparent\") {\n",
       "            var isDark = isDarkColor(getComputedStyle(detail).fill);\n",
       "            textBg.style.fill = isDark ? 'white' : 'black';\n",
       "        }\n",
       "        textBg.style.display = 'none';\n",
       "\n",
       "        ProfileSVG.reset(fig);\n",
       "\n",
       "        var rectDblClickHandler = function (e) {\n",
       "            var bbox = e.target.getBBox();\n",
       "            var cx = bbox.x + bbox.width / 2;\n",
       "            var targetScaleX = fig.width / bbox.width * VIEWPORT_SCALE;\n",
       "            ProfileSVG.moveAndZoom(cx, targetScaleX, fig);\n",
       "        };\n",
       "\n",
       "        var rectMouseOverHandler = function (e) {\n",
       "            var rect = e.target;\n",
       "            var text = rect.nextElementSibling;\n",
       "            var details = document.getElementById(fig.id + '-details');\n",
       "            text.style.strokeWidth = '1';\n",
       "            var sinfo = rect.getAttribute('data-shortinfo');\n",
       "            var dir = rect.getAttribute('data-dinfo');\n",
       "            var i = sinfo.indexOf(' in ');\n",
       "            var func = sinfo.slice(0, i + 4);\n",
       "            var file = sinfo.slice(i + 4);\n",
       "            var time = details.nextElementSibling;\n",
       "            details.textContent = 'Function: ' + func + dir + file;\n",
       "            details.style.display = 'inherit';\n",
       "            if (fig.delay) {\n",
       "                var count = Math.round(rect.width.baseVal.value / fig.xstep);\n",
       "                var t = count * (fig.tunit === 's' ? fig.delay :\n",
       "                    fig.tunit === 'ms' ? fig.delay * 1e3 :\n",
       "                        fig.tunit === 'us' || fig.tunit === 'μs' ? fig.delay * 1e6 : 1);\n",
       "                var tp = Math.round(t * 1000) / 1000;\n",
       "                time.textContent = 'Time: ' + tp + ' ' + fig.tunit;\n",
       "                time.style.display = 'inherit';\n",
       "            }\n",
       "            details.previousElementSibling.style.display = 'inherit';\n",
       "        };\n",
       "        var rectMouseOutHandler = function (e) {\n",
       "            var rect = e.target;\n",
       "            var text = rect.nextElementSibling;\n",
       "            var details = document.getElementById(fig.id + '-details');\n",
       "            text.style.strokeWidth = '0';\n",
       "            details.style.display = 'none';\n",
       "            details.previousElementSibling.style.display = 'none';\n",
       "            details.nextElementSibling.style.display = 'none';\n",
       "        };\n",
       "\n",
       "        var rects = fig.viewport.selectAll(fig.roundradius > 0 ? 'rect' : 'path');\n",
       "        rects.forEach(function (r) {\n",
       "            var rect = r.node;\n",
       "            var text = rect.nextElementSibling;\n",
       "            rect.setAttribute('data-shortinfo', unescapeHtml(text.textContent));\n",
       "            var dir = unescapeHtml(rect.getAttribute('data-dinfo'));\n",
       "            rect.setAttribute('data-dinfo', dir);\n",
       "            rect.addEventListener('dblclick', rectDblClickHandler, false);\n",
       "            rect.addEventListener('mouseover', rectMouseOverHandler, false);\n",
       "            rect.addEventListener('mouseout', rectMouseOutHandler, false);\n",
       "            var transform = svg.node.createSVGTransform();\n",
       "            text.transform.baseVal.initialize(transform); // matrix(1, 0, 0, 1, 0, 0)\n",
       "        });\n",
       "        rects = null;\n",
       "\n",
       "        bg.dblclick(function () {\n",
       "            ProfileSVG.reset(fig);\n",
       "        });\n",
       "\n",
       "        var mouseWheelHandler = throttle(400, stopper, function (e) {\n",
       "            var delta = Math.round(e.deltaY * 100);\n",
       "            if (delta == 0) {\n",
       "                return;\n",
       "            }\n",
       "            var scale = delta < 0 ? ZOOM_STEP : 1 / ZOOM_STEP;\n",
       "\n",
       "            var clientRect = svg.node.getBoundingClientRect();\n",
       "            var mx = e.clientX - clientRect.left;\n",
       "            //var my = e.clientY - clientRect.top;\n",
       "            var ctm = svg.node.getCTM();\n",
       "            var x = ctm ? (mx - ctm.e) / ctm.a : mx;\n",
       "            //var y = ctm ? (my - ctm.f) / ctm.d : my;\n",
       "            var px = (x - fig.cx) / fig.scaleX + fig.focusX;\n",
       "            var targetScaleX = Math.max(fig.scaleX * scale, 0.01);\n",
       "            var targetFocusX = fig.scaleX / targetScaleX * (fig.focusX - px) + px;\n",
       "            ProfileSVG.moveAndZoom(targetFocusX, targetScaleX, fig, 400);\n",
       "        });\n",
       "\n",
       "        svg.node.addEventListener('wheel', mouseWheelHandler, supportsPassive ? {\n",
       "            passive: false\n",
       "        } : false);\n",
       "\n",
       "        fig.viewport.drag();\n",
       "    };\n",
       "\n",
       "    return ProfileSVG;\n",
       "}));\n",
       "\n",
       "]]></script>\n",
       "<script><![CDATA[\n",
       "if (typeof require === 'function' && define.amd) {\n",
       "    require(['ProfileSVG'], function (ProfileSVG) {\n",
       "        ProfileSVG.initialize(\"fig-ea48ff6b8eb24d469d4136cfff400afd\");\n",
       "    });\n",
       "} else {\n",
       "    ProfileSVG.initialize(\"fig-ea48ff6b8eb24d469d4136cfff400afd\");\n",
       "}\n",
       "]]></script>\n",
       "</svg>\n",
       "</body>\n",
       "</html>\n"
      ],
      "text/plain": [
       "ProfileSVG.FGConfig(Node(FlameGraphs.NodeData(ip:0x0, 0x01, 1:382)), Dict{Symbol, Any}(), FlameGraphs.FlameColors(ColorTypes.RGB{FixedPointNumbers.N0f8}[RGB{N0f8}(0.882,0.698,1.0), RGB{N0f8}(0.435,0.863,0.569), RGB{N0f8}(0.0,0.71,0.545), RGB{N0f8}(0.173,0.639,1.0)], RGB{N0f8}(1.0,1.0,1.0), RGB{N0f8}(0.0,0.0,0.0), ColorTypes.RGB{FixedPointNumbers.N0f8}[RGB{N0f8}(0.953,0.0,0.302), RGB{N0f8}(0.894,0.0,0.255), RGB{N0f8}(0.831,0.129,0.216), RGB{N0f8}(0.773,0.192,0.184)], ColorTypes.RGB{FixedPointNumbers.N0f8}[RGB{N0f8}(1.0,0.627,0.0), RGB{N0f8}(1.0,0.643,0.0), RGB{N0f8}(0.965,0.651,0.039), RGB{N0f8}(0.894,0.655,0.11)]), :fcolor, :fcolor, 1.0, false, 50, 2000, 960.0, 0.0, 2.0, \"inherit\", 12.0, false, :none, 0.001)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = a\n",
    "@profview qrhous!(A) \\ y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fb2484bd-fd33-4b42-bc14-1006c4d9811d",
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"housQR.jl\")\n",
    "using .housQR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "eb827167-7fa3-4106-9bac-71a3c237ad5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 5.810770900369532e-16\n",
       " 0.4999999999999994"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [1. 2; 3 4; 5 6]\n",
    "qr = qrfact(A)\n",
    "\n",
    "A \\ [1., 2, 3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "41d9dca0-6880-4133-8dc3-c35d5c0c9a49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BenchmarkTools.Trial: 21 samples with 1 evaluation.\n",
       " Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m):  \u001b[39m\u001b[36m\u001b[1m222.384 ms\u001b[22m\u001b[39m … \u001b[35m274.339 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m14.47% … 24.11%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m):     \u001b[39m\u001b[34m\u001b[1m250.843 ms               \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m):    \u001b[39m18.85%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m):   \u001b[39m\u001b[32m\u001b[1m245.919 ms\u001b[22m\u001b[39m ± \u001b[32m 16.588 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m):  \u001b[39m19.02% ±  2.58%\n",
       "\n",
       "  \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m▃\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[32m \u001b[39m\u001b[39m \u001b[39m \u001b[39m \u001b[34m \u001b[39m\u001b[39m█\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m \u001b[39m \n",
       "  \u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[32m▁\u001b[39m\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[34m▇\u001b[39m\u001b[39m█\u001b[39m▇\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▇\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m \u001b[39m▁\n",
       "  222 ms\u001b[90m           Histogram: frequency by time\u001b[39m          274 ms \u001b[0m\u001b[1m<\u001b[22m\n",
       "\n",
       " Memory estimate\u001b[90m: \u001b[39m\u001b[33m1.54 GiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m4617\u001b[39m."
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@benchmark qrfact($A) \\ $y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f505daf2-0a23-415a-bfb7-b282acee8294",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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