performance.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "import requests\n",
    "import datetime\n",
    "import matplotlib.pyplot as plt \n",
    "import json\n",
    "import tqdm \n",
    "import psycopg2\n",
    "import random\n",
    "import numpy as np "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def search(query):\n",
    "    past = datetime.datetime.now()\n",
    "    requests.get(f\"http://localhost:8080/Search/{query}\")\n",
    "    now = datetime.datetime.now()\n",
    "    return (now - past).total_seconds() * 1000\n",
    "\n",
    "def regex(reg):\n",
    "    past = datetime.datetime.now()\n",
    "    requests.get(f\"http://localhost:8080/RegexSearch/{reg}\")\n",
    "    now = datetime.datetime.now()\n",
    "    return (now - past).total_seconds() * 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "DATABASE_URL = \"postgres://daar_user:9n47ycpq3xerucq03489x2@localhost:5432/postgres_database\"\n",
    "conn = psycopg2.connect(dsn=DATABASE_URL)\n",
    "\n",
    "cursor = conn.cursor()\n",
    "cursor.execute(\"SELECT book_id, word_occurrence_json FROM indexed_books;\")\n",
    "all_books = cursor.fetchall()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "words = {}\n",
    "for book_id, word_occurrence_json in all_books:\n",
    "    word_occurrence_json = json.loads(word_occurrence_json)\n",
    "    for word, occ in word_occurrence_json.items():\n",
    "        if word not in words:\n",
    "            words[word] = occ\n",
    "        else:\n",
    "            words[word] += occ"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "words_picked = {}\n",
    "random.seed(123) # make this notebook deterministic\n",
    "NUM_WORDS = 100\n",
    "\n",
    "ll = list(words.items())\n",
    "\n",
    "for _ in range(NUM_WORDS):\n",
    "    a, b = random.choice(ll)\n",
    "    words_picked[a] = b \n",
    "    ll.pop(ll.index((a, b)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "def experiment(search_fn, words_picked):\n",
    "    delay_ms = []\n",
    "    word_occurrence = []\n",
    "\n",
    "    progress = tqdm.tqdm(total=len(words_picked))\n",
    "\n",
    "    for word, occurrence in words_picked.items():\n",
    "        delay = search_fn(word)\n",
    "\n",
    "        delay_ms.append(delay)\n",
    "        word_occurrence.append(occurrence)\n",
    "        progress.update()\n",
    "\n",
    "    progress.close()\n",
    "\n",
    "    return word_occurrence, delay_ms\n",
    "\n",
    "def plot(word_occurrence, delay_ms, search_title):\n",
    "    plt.figure(figsize=(10, 5))\n",
    "\n",
    "    plt.scatter(word_occurrence, delay_ms, marker='x')\n",
    "    plt.ylabel(f'API {search_title} Delay (ms)'); plt.xlabel('Word Occurrence')\n",
    "    # plt.xscale('log'); plt.yscale('log')\n",
    "\n",
    "    x, y = np.array(word_occurrence), np.array(delay_ms)\n",
    "    coeff = np.polyfit(x, y, 1)\n",
    "    poly1d_fn = np.poly1d(coeff) \n",
    "    plt.plot(x, poly1d_fn(x), '-', color='red')\n",
    "\n",
    "    # plt.text(800, 1000, f\"{coeff}\")\n",
    "\n",
    "    # plt.ylim(0, 2500); plt.xlim(-5, 800)\n",
    "    plt.ylim(0)\n",
    "    plt.title(f\"Correlation of Word Occurence and API {search_title} Delay (100 random words)\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [02:54<00:00,  1.74s/it]\n",
      "100%|██████████| 100/100 [04:45<00:00,  2.86s/it]\n"
     ]
    }
   ],
   "source": [
    "wo_search, delay_search = experiment(search, words_picked)\n",
    "wo_regex, delay_regex = experiment(regex, words_picked)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(wo_search, delay_search, \"Search\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(wo_regex, delay_regex, \"Regex Search\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "def experiment2(words_picked):\n",
    "    delay_ms = []\n",
    "    word_length = []\n",
    "\n",
    "    progress = tqdm.tqdm(total=len(words_picked))\n",
    "\n",
    "    for word in words_picked:\n",
    "        delay = regex(word)\n",
    "\n",
    "        delay_ms.append(delay)\n",
    "        word_length.append(len(word))\n",
    "        progress.update()\n",
    "\n",
    "    progress.close()\n",
    "\n",
    "    return word_length, delay_ms\n",
    "\n",
    "def plot2(word_length, delay_ms):\n",
    "    plt.figure(figsize=(10, 5))\n",
    "\n",
    "    plt.scatter(word_length, delay_ms, marker='x')\n",
    "    plt.ylabel('API Regex Search Delay (ms)'); plt.xlabel('Regex Length')\n",
    "    # plt.xscale('log'); plt.yscale('log')\n",
    "\n",
    "    x, y = np.array(word_length), np.array(delay_ms)\n",
    "    coeff = np.polyfit(x, y, 1)\n",
    "    poly1d_fn = np.poly1d(coeff) \n",
    "    plt.plot(x, poly1d_fn(x), '-', color='red')\n",
    "\n",
    "    # plt.text(800, 1000, f\"{coeff}\")\n",
    "\n",
    "    # plt.ylim(0, 2500); plt.xlim(-5, 800)\n",
    "    plt.ylim(0)\n",
    "    plt.title(\"Correlation of Regex Length and API Regex Search Delay (100 random words)\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [04:46<00:00,  2.86s/it]\n"
     ]
    }
   ],
   "source": [
    "word_regex2, delay_regex2 = experiment2(words_picked)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot2(word_regex2, delay_regex2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'teoriei': 5,\n",
       " 'sagacem': 1,\n",
       " 'lutist': 1,\n",
       " 'schwärzer': 1,\n",
       " 'unedifying': 4,\n",
       " 'eighteenpence': 3,\n",
       " 'revisal': 12,\n",
       " 'coronant': 1,\n",
       " 'stratarchas': 2,\n",
       " 'chiya': 1,\n",
       " 'turno': 10,\n",
       " 'woodmenâ': 1,\n",
       " 'gemeinschaftlich': 3,\n",
       " 'comeliness': 17,\n",
       " 'cuichelm': 1,\n",
       " 'paulowna': 2,\n",
       " 'topia': 1,\n",
       " 'udii': 1,\n",
       " 'sandford': 4,\n",
       " 'babe': 198,\n",
       " 'bücherbrettern': 2,\n",
       " 'ruban': 3,\n",
       " 'seyn': 101,\n",
       " 'avena': 5,\n",
       " 'athamaunt': 1,\n",
       " 'incauto': 1,\n",
       " 'trs': 5,\n",
       " 'endgültiges': 1,\n",
       " 'domestique': 9,\n",
       " 'nachgewiesen': 5,\n",
       " 'filius': 9,\n",
       " 'miffonis': 1,\n",
       " 'nagy': 1,\n",
       " 'tenoient': 1,\n",
       " 'weltursachen': 1,\n",
       " 'vicitram': 1,\n",
       " 'homilã': 1,\n",
       " 'larynx': 21,\n",
       " 'podgy': 3,\n",
       " 'rennie': 1,\n",
       " 'rapo': 1,\n",
       " 'gulóng': 1,\n",
       " 'recess': 84,\n",
       " 'anchak': 1,\n",
       " 'labienus': 3,\n",
       " 'dificultad': 8,\n",
       " 'physices': 1,\n",
       " 'introduzindo': 1,\n",
       " 'vic': 3,\n",
       " 'anaqui': 9,\n",
       " 'biggsâ': 1,\n",
       " 'abattu': 1,\n",
       " 'argand': 6,\n",
       " 'détruit': 5,\n",
       " 'naïfs': 1,\n",
       " 'zwingli': 2,\n",
       " 'pinangalin': 2,\n",
       " 'conservar': 12,\n",
       " 'limmeridge': 9,\n",
       " 'zusammenraffte': 1,\n",
       " 'andava': 13,\n",
       " 'agaat': 2,\n",
       " 'edificio': 11,\n",
       " 'traveller': 438,\n",
       " 'ayan': 1,\n",
       " 'trebuiau': 1,\n",
       " 'kerstendom': 1,\n",
       " 'albinoni': 1,\n",
       " 'worshipfull': 3,\n",
       " 'dilectum': 2,\n",
       " 'gloves': 265,\n",
       " 'seltene': 2,\n",
       " 'colewort': 7,\n",
       " 'arona': 1,\n",
       " 'fitzroy': 23,\n",
       " 'merveilles': 12,\n",
       " 'cuadrillas': 2,\n",
       " 'ity': 14,\n",
       " 'lidw': 2,\n",
       " 'vermochte': 21,\n",
       " 'irreligion': 12,\n",
       " 'thick': 1182,\n",
       " 'cortas': 6,\n",
       " 'pfeifendem': 1,\n",
       " 'elucidate': 38,\n",
       " 'aitken': 4,\n",
       " 'dannie': 3,\n",
       " 'arshavski': 1,\n",
       " 'consigne': 2,\n",
       " 'hervieux': 1,\n",
       " 'initium': 7,\n",
       " 'quacking': 4,\n",
       " 'tedy': 12,\n",
       " 'blies': 11,\n",
       " 'vno': 81,\n",
       " 'xivs': 1,\n",
       " 'grès': 1,\n",
       " 'fowlerç': 1,\n",
       " 'rimesse': 1,\n",
       " 'erschienst': 3}"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "words_picked\n",
    "# They might not be same for each run of this notebook, thus they are saved in words_picked.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}