g-care.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## G-CARE Benchmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "get_cardinality_bounds (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Graphs: DiGraph\n",
    "using StatsPlots\n",
    "include(\"Source/datasets.jl\")\n",
    "include(\"Source/QuasiStableCardinalityEstimator.jl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "aids_data_file_path = \"dataset/aids/aids.txt\"\n",
    "human_data_file_path = \"dataset/human/human.txt\"\n",
    "lubm80_data_file_path = \"dataset/lubm80/lubm80.txt\"\n",
    "yago_data_file_path = \"dataset/yago/yago.txt\"\n",
    "\n",
    "human_data = load_dataset(human_data_file_path)\n",
    "aids_data = load_dataset(aids_data_file_path)\n",
    "#lubm80_data = load_dataset(lubm80_data_file_path)\n",
    "#yago_data = load_dataset(yago_data_file_path)\n",
    "nothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String, Int64} with 2 entries:\n",
       "  \"aids\"  => 6\n",
       "  \"human\" => 3"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#datasets = [aids_data, human_data, lubm80_data, yago_data]\n",
    "#dataset_names = [\"aids\", \"human\", \"lubm80\", \"yago\"]\n",
    "# datasets = Dict(\"aids\"=>aids_data, \"human\"=>human_data, \"lubm80\"=>lubm80_data)\n",
    "# dataset_names = [\"aids\", \"human\"]\n",
    "datasets = Dict(\"aids\"=>aids_data, \"human\"=>human_data)\n",
    "dataset_names = [\"aids\"]\n",
    "num_sample_nodes = Dict(\"aids\"=>10000, \"human\"=>100)\n",
    "max_cycle_size = Dict(\"aids\"=>6, \"human\"=>3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Started coloring"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Finished coloring"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Started bloom filters\n",
      "Finished bloom filters\n",
      "Started cardinality counts\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Finished cardinality counts\n",
      "Started tracking statistics\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Finished tracking statistics\n"
     ]
    }
   ],
   "source": [
    "build_time = Dict()\n",
    "summary_size = Dict()\n",
    "color_summaries = Dict()\n",
    "for dataset in dataset_names\n",
    "    results = @timed generate_color_summary(datasets[dataset], 32, verbose=true, max_size = max_cycle_size[dataset], num_sample_nodes=num_sample_nodes[dataset])\n",
    "    build_time[dataset] = results[2]\n",
    "    summary_size[dataset] = get_color_summary_size(results[1])\n",
    "    color_summaries[dataset] = results[1]\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{CyclePathAndColors, Float64} with 34492 entries:\n",
       "  CyclePathAndColors(Bool[1, 0, 1, 1, 1], [4, 10])  => 0.206294\n",
       "  CyclePathAndColors(Bool[0, 1], [13, 27])          => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0, 0, 1, 1], [2, 17])  => 0.560284\n",
       "  CyclePathAndColors(Bool[0, 0, 0, 0, 0], [3, 17])  => 0.553191\n",
       "  CyclePathAndColors(Bool[1, 1, 1, 1, 1], [29, 26]) => 0.0\n",
       "  CyclePathAndColors(Bool[1, 1, 1], [1, 19])        => 1.0\n",
       "  CyclePathAndColors(Bool[0, 0, 0], [17, 3])        => 0.48\n",
       "  CyclePathAndColors(Bool[0, 1, 0, 0], [4, 22])     => 0.0\n",
       "  CyclePathAndColors(Bool[0, 1, 1, 1, 0], [26, 31]) => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0, 1, 0, 1], [27, 10]) => 0.0\n",
       "  CyclePathAndColors(Bool[0, 1, 0, 0, 0], [16, 2])  => 0.173077\n",
       "  CyclePathAndColors(Bool[0, 0, 1, 0], [31, 27])    => 0.0\n",
       "  CyclePathAndColors(Bool[0, 1, 0, 0], [25, 10])    => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0], [2, 17])           => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0, 0, 0, 1], [4, 12])  => 0.0\n",
       "  CyclePathAndColors(Bool[0, 0, 1, 0], [31, 20])    => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0, 1, 0], [3, 5])      => 0.0\n",
       "  CyclePathAndColors(Bool[1, 0, 1, 1, 0], [2, 5])   => 0.0\n",
       "  CyclePathAndColors(Bool[0, 0, 1, 1, 0], [25, 22]) => 0.0295203\n",
       "  ⋮                                                 => ⋮"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "color_summaries[\"aids\"].cycle_probabilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "KeyError: key \"human\" not found",
     "output_type": "error",
     "traceback": [
      "KeyError: key \"human\" not found\n",
      "\n",
      "Stacktrace:\n",
      " [1] getindex(h::Dict{Any, Any}, key::String)\n",
      "   @ Base .\\dict.jl:498\n",
      " [2] top-level scope\n",
      "   @ c:\\Users\\diand\\OneDrive\\Desktop\\Cardinality-with-Colors\\g-care.ipynb:16"
     ]
    }
   ],
   "source": [
    "include(\"Source/QuasiStableCardinalityEstimator.jl\")\n",
    "\n",
    "human_query_directories = [\"/queryset/human/Chain_3/\",\n",
    "\"/queryset/human/Graph_3/\",\n",
    "\"/queryset/human/Star_3/\",\n",
    "\"/queryset/human/Tree_3/\",\n",
    "                    ]\n",
    "human_query_paths = [readdir(pwd() * dir, join=true) for dir in human_query_directories]\n",
    "human_query_paths = [(human_query_paths...)...]\n",
    "human_exact_sizes = []\n",
    "human_bounds = []\n",
    "human_bounds_with_stats = []\n",
    "human_relative_errors = []\n",
    "human_relative_errors_with_stats = []\n",
    "human_query_type = []\n",
    "println(\"Summary Size: \", summary_size[\"human\"])\n",
    "println(\"Summary Build Time: \", build_time[\"human\"])\n",
    "for query_path in human_query_paths\n",
    "    println(\"Query: \", query_path)\n",
    "    id_and_query = load_query(query_path)\n",
    "    id = id_and_query[1]\n",
    "    query = id_and_query[2]\n",
    "    # query.graph = bfs_tree(query.graph)\n",
    "    bound_results = @timed get_cardinality_bounds(query, color_summaries[\"human\"], usingStoredStats=false)\n",
    "    bound_results_with_stats = @timed get_cardinality_bounds(query, color_summaries[\"human\"], usingStoredStats=true)\n",
    "    exact_size_results = @timed get_exact_size(query, datasets[\"human\"])\n",
    "    gcare_size = load_true_cardinality(replace(query_path, \"queryset\"=>\"TrueCardinalities\"))\n",
    "    query_type = match(r\"/queryset/human/(.*)_./.*\", query_path).captures[1]\n",
    "#    println(\"Bound Time: \", bound_results[2])\n",
    "#    println(\"Exact Size Time: \", exact_size_results[2])\n",
    "#    println(\"Exact Size: \", exact_size_results[1])\n",
    "#    println(\"GCare Exact Size: \", gcare_size)\n",
    "    if gcare_size != exact_size_results[1]\n",
    "        println(\"Bad Exact Size Estimate!!\")\n",
    "        break\n",
    "    end\n",
    "#    println(\"Bound [Lower, Avg, Upper]: \", bound_results[1])\n",
    "#    println(\"Relative Error [Lower, Avg, Upper]: \", bound_results[1]./exact_size_results[1])\n",
    "    bound_results[1][2] = max(1, bound_results[1][2])\n",
    "    bound_results_with_stats[1][2] = max(1, bound_results_with_stats[1][2])\n",
    "    push!(human_exact_sizes, gcare_size)\n",
    "    push!(human_bounds, bound_results[1])\n",
    "    push!(human_bounds_with_stats, bound_results_with_stats[1])\n",
    "    push!(human_relative_errors, bound_results[1] ./ gcare_size)\n",
    "    push!(human_relative_errors_with_stats, bound_results_with_stats[1] ./ gcare_size)\n",
    "    push!(human_query_type, query_type)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.1162174132207614\n",
      "0.6191122725795751\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.5314789170422551\n"
     ]
    }
   ],
   "source": [
    "using Statistics\n",
    "println(maximum([log10(x[2]) for x in human_relative_errors]))\n",
    "println(mean([abs(log10(x[2])) for x in human_relative_errors]))\n",
    "println(minimum([log10(x[2]) for x in human_relative_errors]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.1162174132207614\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6191122725795751\n",
      "-1.5314789170422551\n"
     ]
    }
   ],
   "source": [
    "using Statistics\n",
    "println(maximum([log10(x[2]) for x in human_relative_errors_with_stats]))\n",
    "println(mean([abs(log10(x[2])) for x in human_relative_errors_with_stats]))\n",
    "println(minimum([log10(x[2]) for x in human_relative_errors_with_stats]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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   ],
   "source": [
    "StatsPlots.boxplot(human_query_type, [x[2] for x in human_relative_errors_with_stats],  yscale=:log10, fillalpha=0.5, linewidth=2, label=\"With Cycle Stats\", ylims=[10^-4, 10^7], yticks=[10^-4,10^-2, 1, 10^2, 10^4, 10^6])\n",
    "StatsPlots.boxplot!(human_query_type, [x[2] for x in human_relative_errors],  yscale=:log10, fillalpha=0.5, linewidth=2, label=\"Without Cycle Stats\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Summary Size: nothing\n",
      "Summary Build Time: 110.7750782"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "include(\"Source/QuasiStableCardinalityEstimator.jl\")\n",
    "include(\"Source/SpanningTree.jl\")\n",
    "\n",
    "aids_query_directories = [\n",
    "    \"/queryset/aids/Chain_3/\",\n",
    "    \"/queryset/aids/Chain_6/\",\n",
    "    \"/queryset/aids/Chain_9/\",\n",
    "    \"/queryset/aids/Chain_12/\",\n",
    "    \"/queryset/aids/Cycle_3/\",\n",
    "    \"/queryset/aids/Cycle_6/\",\n",
    "    \"/queryset/aids/Flower_6/\",\n",
    "    \"/queryset/aids/Flower_9/\",\n",
    "    \"/queryset/aids/Flower_12/\",\n",
    "    \"/queryset/aids/Graph_3/\",\n",
    "    \"/queryset/aids/Graph_6/\",\n",
    "    \"/queryset/aids/Graph_9/\",\n",
    "    \"/queryset/aids/Graph_12/\",\n",
    "    \"/queryset/aids/Petal_6/\",\n",
    "    \"/queryset/aids/Petal_9/\",\n",
    "    \"/queryset/aids/Petal_12/\",\n",
    "    \"/queryset/aids/Star_3/\",\n",
    "    \"/queryset/aids/Star_6/\",\n",
    "    \"/queryset/aids/Star_9/\",\n",
    "    \"/queryset/aids/Tree_3/\",\n",
    "    \"/queryset/aids/Tree_6/\",\n",
    "    \"/queryset/aids/Tree_9/\",\n",
    "    \"/queryset/aids/Tree_12/\"]\n",
    "aids_query_paths = [readdir(pwd() * dir, join=true) for dir in aids_query_directories]\n",
    "aids_query_paths = [(aids_query_paths...)...]\n",
    "aids_exact_sizes = []\n",
    "aids_bounds = []\n",
    "aids_bounds_with_stats = []\n",
    "aids_relative_errors = []\n",
    "aids_relative_errors_with_stats = []\n",
    "aids_query_types = []\n",
    "println(\"Summary Size: \", summary_size[\"aids\"])\n",
    "println(\"Summary Build Time: \", build_time[\"aids\"])\n",
    "for query_path in aids_query_paths\n",
    "    # println(\"Query: \", query_path)\n",
    "    id_and_query = load_query(query_path)\n",
    "    id = id_and_query[1]\n",
    "    query = id_and_query[2]\n",
    "\n",
    "    # Determine how much error can be attributed to the cycle estimation\n",
    "    # by converting queries into spanning trees and observing the resulting errors\n",
    "    # get_spanning_tree(query)\n",
    "\n",
    "    query_type = match(r\".*/queryset/aids/(.*)_.*/.*\", query_path).captures[1]\n",
    "    bound_results = @timed get_cardinality_bounds(query, color_summaries[\"aids\"], max_partial_paths=10, usingStoredStats=false,)\n",
    "    bound_results_with_stats = @timed get_cardinality_bounds(query, color_summaries[\"aids\"], max_partial_paths=10, usingStoredStats=true)\n",
    "    gcare_size = load_true_cardinality(replace(query_path, \"queryset\"=>\"TrueCardinalities\"))\n",
    "    exact_size = get_exact_size(query, datasets[\"aids\"])\n",
    "    bound_results[1][2] = max(1, bound_results[1][2])\n",
    "    bound_results_with_stats[1][2] = max(1, bound_results_with_stats[1][2])\n",
    "    push!(aids_exact_sizes, exact_size)\n",
    "    push!(aids_bounds, bound_results[1])\n",
    "    push!(aids_bounds_with_stats, bound_results_with_stats[1])\n",
    "    push!(aids_relative_errors, bound_results[1] ./ exact_size)\n",
    "    push!(aids_relative_errors_with_stats, bound_results_with_stats[1] ./ exact_size)\n",
    "    push!(aids_query_types, query_type)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NaN\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NaN\n",
      "NaN\n",
      "NaN\n"
     ]
    }
   ],
   "source": [
    "using Statistics\n",
    "println(maximum([log10(x[2]) for x in aids_relative_errors]))\n",
    "println(mean([log10(x[2]) for x in aids_relative_errors]))\n",
    "println(mean([abs(log10(x[2])) for x in aids_relative_errors]))\n",
    "println(minimum([log10(x[2]) for x in aids_relative_errors]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NaN\n",
      "NaN\n",
      "NaN\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NaN\n"
     ]
    }
   ],
   "source": [
    "using Statistics\n",
    "println(maximum([log10(x[2]) for x in aids_relative_errors_with_stats]))\n",
    "println(mean([log10(x[2]) for x in aids_relative_errors_with_stats]))\n",
    "println(mean([abs(log10(x[2])) for x in aids_relative_errors_with_stats]))\n",
    "println(minimum([log10(x[2]) for x in aids_relative_errors_with_stats]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "StatsPlots.boxplot(aids_query_types, [x[2] for x in aids_relative_errors_with_stats],  yscale=:log10, fillalpha=0.5, linewidth=2, label=\"With Cycle Stats\", ylims=[10^-6, 10^11], yticks=[10^-5, 1, 10^5, 10^10])\n",
    "StatsPlots.boxplot!(aids_query_types, [x[2] for x in aids_relative_errors],  yscale=:log10, fillalpha=0.5, linewidth=2, label=\"Without Cycle Stats\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Any[\"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Chain\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Cycle\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"F"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "lower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Flower\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", \"Graph\", 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\"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\", \"Tree\"]"
     ]
    }
   ],
   "source": [
    "print(data[!,\"QueryType\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "lubm80_query_paths = [\"lubm80/lubm80_Q2.txt\",\n",
    "# \"lubm80/lubm80_Q4.txt\",\n",
    "# \"lubm80/lubm80_Q7.txt\",\n",
    "# \"lubm80/lubm80_Q8.txt\",\n",
    "# \"lubm80/lubm80_Q9.txt\",\n",
    "# \"lubm80/lubm80_Q12.txt\"\n",
    "                    ]\n",
    "exactSizes = []\n",
    "bounds = []\n",
    "relativeErrors = []\n",
    "println(\"Summary Size: \", summary_size[1])\n",
    "println(\"Summary Build Time: \", build_time[1])\n",
    "for query_path in lubm80_query_paths\n",
    "    println(\"Query: \", query_path)\n",
    "    id_and_query = load_query(\"queryset/\" * query_path)\n",
    "    id = id_and_query[1]\n",
    "    query = id_and_query[2]\n",
    "    bound_results = @timed get_cardinality_bounds(query, color_summaries[1])\n",
    "    exact_size_results = @timed get_exact_size(query, datasets[1])\n",
    "    gcare_size = load_true_cardinality(\"TrueCardinalities/\" * query_path)\n",
    "    println(\"Bound Time: \", bound_results[2])\n",
    "    println(\"Exact Size Time: \", exact_size_results[2])\n",
    "    println(\"Exact Size: \", exact_size_results[1])\n",
    "    println(\"GCare Exact Size: \", gcare_size)\n",
    "    if gcare_size != exact_size_results[1]\n",
    "        println(\"Bad Exact Size Estimate!!\")\n",
    "        break\n",
    "    end\n",
    "    println(\"Bound [Lower, Avg, Upper]: \", bound_results[1])\n",
    "    println(\"Relative Error [Lower, Avg, Upper]: \", (bound_results[1])./exact_size_results[1])\n",
    "    push!(exactSizes, gcare_size)\n",
    "    push!(bounds, bound_results[1])\n",
    "    push!(relativeErrors, bound_results[1] ./ gcare_size)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "exactSizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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