TrieBenchmark.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "from datasketch import MinHash, MinHashLSH, MinHashLSHTrie\n",
    "from tqdm.notebook import tqdm\n",
    "from xxhash import xxh3_64_intdigest as hashfunc\n",
    "import random\n",
    "import pickle\n",
    "import numpy as np\n",
    "from multiprocessing import Pool\n",
    "import timeit\n",
    "import sys\n",
    "from statistics import median\n",
    "import plotly.express as px\n",
    "import pandas as pd\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "def index(mhs, threshold):\n",
    "    index = MinHashLSH(threshold=threshold)\n",
    "    for key, mh in enumerate(mhs):\n",
    "        index.insert(key, mh)\n",
    "    return index\n",
    "\n",
    "def index_trie(mhs, threshold):\n",
    "    index = MinHashLSHTrie(threshold=threshold)\n",
    "    for key, mh in enumerate(mhs):\n",
    "        index.insert(key, mh)\n",
    "    return index\n",
    "\n",
    "def query(index, mh):\n",
    "    index.query(mh)\n",
    "\n",
    "def test(args):\n",
    "    set_count, similarity, threshold = args\n",
    "    common_tokens = [f'{n}'.encode('utf8') for n in range(int(100*similarity))]\n",
    "    sets = []\n",
    "    for n in range(set_count):\n",
    "        sets.append(common_tokens + [f'{random.randint(0,1000000)}'.encode('utf8') for n in range(int(100*(1-similarity)))])\n",
    "        \n",
    "    mhs = MinHash.bulk(sets, hashfunc=hashfunc)\n",
    "    \n",
    "    t = timeit.Timer(lambda: index(mhs, threshold))\n",
    "    t_index_lsh = median(t.repeat(number=10, repeat=5))\n",
    "    t = timeit.Timer(lambda: index_trie(mhs, threshold))\n",
    "    t_index_lsh_trie = median(t.repeat(number=10, repeat=5))\n",
    "    \n",
    "    lsh = index(mhs, threshold)\n",
    "    lsh_trie = index_trie(mhs, threshold)\n",
    "    \n",
    "    lsh_size = len(pickle.dumps(lsh.hashtables))\n",
    "    lsh_trie_size = len(pickle.dumps(lsh_trie.root))\n",
    "    \n",
    "    mh_hit = mhs[0]\n",
    "    mh_miss = MinHash(hashfunc=hashfunc)\n",
    "    mh_miss.update_batch([b'-1',b'-2',b'-3'])\n",
    "    \n",
    "    t = timeit.Timer(lambda: query(lsh, mh_hit))\n",
    "    lsh_query_hit = median(t.repeat(number=100, repeat=5))\n",
    "    t = timeit.Timer(lambda: query(lsh, mh_miss))\n",
    "    lsh_query_miss = median(t.repeat(number=100, repeat=5))\n",
    "    \n",
    "    t = timeit.Timer(lambda: query(lsh_trie, mh_hit))\n",
    "    lsh_trie_query_hit = median(t.repeat(number=100, repeat=5))\n",
    "    t = timeit.Timer(lambda: query(lsh_trie, mh_miss))\n",
    "    lsh_trie_query_miss = median(t.repeat(number=100, repeat=5))\n",
    "    \n",
    "    return {\n",
    "        'set_count': set_count,\n",
    "        'similarity': similarity,\n",
    "        'threshold': threshold,\n",
    "        't_index_lsh': t_index_lsh,\n",
    "        't_index_lsh_trie': t_index_lsh_trie,\n",
    "        'lsh_size': lsh_size,\n",
    "        'lsh_trie_size': lsh_trie_size,\n",
    "        'lsh_query_hit': lsh_query_hit,\n",
    "        'lsh_query_miss': lsh_query_miss,\n",
    "        'lsh_trie_query_hit': lsh_trie_query_hit,\n",
    "        'lsh_trie_query_miss': lsh_trie_query_miss\n",
    "    }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "configs = []\n",
    "for set_count in [100, 1000, 10000]:\n",
    "    for similarity in [0, 0.1, 0.5, 0.9]:\n",
    "        for threshold in [0.1, 0.5, 0.9]:\n",
    "            configs.append((set_count, similarity, threshold))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "09775d6d97864b948c672dad67b045da",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=1.0, bar_style='info', layout=Layout(width='20px'), max=1.0…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "with Pool(8) as p:\n",
    "    results = [x for x in tqdm(p.imap_unordered(test, configs), total=len(configs))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(results)\n",
    "df['set_count'] = df['set_count'].astype(str)\n",
    "df['similarity'] = df['similarity'].astype(str)\n",
    "df['threshold'] = df['threshold'].astype(str)\n",
    "df['index_time'] = (df['t_index_lsh_trie'] / df['t_index_lsh'])-1\n",
    "df['hit_query_time'] = (df['lsh_trie_query_hit'] / df['lsh_query_hit'])-1\n",
    "df['miss_query_time'] = (df['lsh_trie_query_miss'] / df['lsh_query_miss'])-1\n",
    "df['index_size'] = (df['lsh_trie_size'] / df['lsh_size'])-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_df = df.groupby(['set_count','threshold'])['index_time'].median().reset_index()\n",
    "fig = px.line(_df, x='set_count', y='index_time', color='threshold')\n",
    "fig.update_yaxes(tickformat='%')\n",
    "fig.update_xaxes(type='category')\n",
    "fig.update_layout(title='Indexing Time', title_x=0.5)\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_df = df.groupby(['similarity','threshold'])['index_size'].median().reset_index()\n",
    "fig = px.line(_df, x='similarity', y='index_size', color='threshold')\n",
    "fig.update_yaxes(tickformat='%')\n",
    "fig.update_xaxes(type='category')\n",
    "fig.update_layout(title='Index Size', title_x=0.5)\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_df = df.groupby(['similarity','threshold'])['hit_query_time'].median().reset_index()\n",
    "fig = px.line(_df, x='similarity', y='hit_query_time', color='threshold')\n",
    "fig.update_yaxes(tickformat='%')\n",
    "fig.update_xaxes(type='category')\n",
    "fig.update_layout(title='Query with Hit Time', title_x=0.5)\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_df = df.groupby(['similarity','threshold'])['miss_query_time'].median().reset_index()\n",
    "fig = px.line(_df, x='similarity', y='miss_query_time', color='threshold')\n",
    "fig.update_yaxes(tickformat='%')\n",
    "fig.update_xaxes(type='category')\n",
    "fig.update_layout(title='Query with Miss Time', title_x=0.5)\n",
    "Image(fig.to_image(format=\"png\"))"
   ]
  }
 ],
 "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": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}