{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1127f968-1a32-41a3-aa5d-d071615ca752",
   "metadata": {},
   "outputs": [],
   "source": [
    "using QuadGK"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8c6fd18f-375f-41d8-977e-9deb382cd985",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  3.615248 seconds (102.46 M allocations: 1.682 GiB, 6.61% gc time, 31.70% compilation time)\n",
      "  2.071347 seconds (99.33 M allocations: 1.502 GiB, 1.69% gc time)\n",
      "  2.042287 seconds (99.33 M allocations: 1.502 GiB, 1.54% gc time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(3.143368529490813, 0.1453072535439617)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 1.0\n",
    "f = x -> sin(a*x)/(a*x)\n",
    "@time quadgk(f, -1e8, 0, 1e8)\n",
    "@time quadgk(f, -1e8, 0, 1e8)\n",
    "@time quadgk(f, -1e8, 0, 1e8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ae693cdd-7d03-48ae-b9f8-827bfaf1f1aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#1 (function of type var\"#1#2\")\n"
     ]
    }
   ],
   "source": [
    "dump(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2ab1df01-b2cb-4965-b8c9-7fef2a3f5958",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0.825576 seconds (7.15 M allocations: 165.328 MiB, 4.23% gc time, 25.27% compilation time)\n",
      "  0.752624 seconds (6.67 M allocations: 139.071 MiB, 16.41% gc time)\n",
      "  0.561307 seconds (6.67 M allocations: 131.071 MiB, 1.08% gc time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(3.143368529490813, 0.1453072535439617)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 1.0\n",
    "g = let a = a; x -> sin(a*x)/(a*x) end\n",
    "@time quadgk(g, -1e8, 0, 1e8)\n",
    "@time quadgk(g, -1e8, 0, 1e8)\n",
    "@time quadgk(g, -1e8, 0, 1e8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2ed1dc88-9846-458c-8541-29478c72b141",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#3 (function of type var\"#3#4\"{Float64})\n",
      "  a: Float64 1.0\n"
     ]
    }
   ],
   "source": [
    "dump(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3e3e70cc-cee7-4c31-9a8f-8205e5d44f5c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0.760919 seconds (6.68 M allocations: 139.744 MiB, 3.36% gc time, 23.61% compilation time)\n",
      "  0.684874 seconds (6.67 M allocations: 139.071 MiB, 15.97% gc time)\n",
      "  0.560951 seconds (6.67 M allocations: 131.071 MiB, 1.20% gc time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(3.143368529490813, 0.1453072535439617)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function F(a = 1.0)\n",
    "    quadgk(x -> sin(a*x)/(a*x), -1e8, 0, 1e8)\n",
    "end\n",
    "\n",
    "@time F()\n",
    "@time F()\n",
    "@time F()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "57dc8bde-8cae-42c4-b478-4343a252eac7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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