11_performance.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to DataFrames\n",
    "**[Bogumił Kamiński](http://bogumilkaminski.pl/about/), February 13, 2023**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using DataFrames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using BenchmarkTools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "using CategoricalArrays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PooledArrays"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Performance tips"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Access by column number is faster than by name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  2.000 ns (0 allocations: 0 bytes)\n",
      "  9.000 ns (0 allocations: 0 bytes)\n"
     ]
    }
   ],
   "source": [
    "x = DataFrame(rand(5, 1000), :auto)\n",
    "@btime $x[!, 500];\n",
    "@btime $x.x500;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### When working with data `DataFrame` use barrier functions or type annotation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  100.944 ms (5999012 allocations: 122.06 MiB)\n"
     ]
    }
   ],
   "source": [
    "using Random\n",
    "function f_bad() # this function will be slow\n",
    "    Random.seed!(1); x = DataFrame(rand(1000000,2), :auto)\n",
    "    y, z = x[!, 1], x[!, 2]\n",
    "    p = 0.0\n",
    "    for i in 1:nrow(x)\n",
    "        p += y[i]*z[i]\n",
    "    end\n",
    "    p\n",
    "end\n",
    "\n",
    "@btime f_bad();\n",
    "# if you run @code_warntype f_bad() then you notice\n",
    "# that Julia does not know column types of `DataFrame`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  6.473 ms (34 allocations: 30.52 MiB)\n",
      "  6.252 ms (34 allocations: 30.52 MiB)\n"
     ]
    }
   ],
   "source": [
    "# solution 1 is to use barrier function (it should be possible to use it in almost any code)\n",
    "function f_inner(y,z)\n",
    "   p = 0.0\n",
    "   for i in 1:length(y)\n",
    "       p += y[i]*z[i]\n",
    "   end\n",
    "   p\n",
    "end\n",
    "\n",
    "function f_barrier() # extract the work to an inner function\n",
    "    Random.seed!(1); x = DataFrame(rand(1000000,2), :auto)\n",
    "    f_inner(x[!, 1], x[!, 2])\n",
    "end\n",
    "\n",
    "using LinearAlgebra\n",
    "function f_inbuilt() # or use inbuilt function if possible\n",
    "    Random.seed!(1); x = DataFrame(rand(1000000,2), :auto)\n",
    "    dot(x[!, 1], x[!, 2])\n",
    "end\n",
    "\n",
    "@btime f_barrier();\n",
    "@btime f_inbuilt();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  6.440 ms (34 allocations: 30.52 MiB)\n"
     ]
    }
   ],
   "source": [
    "# solution 2 is to provide the types of extracted columns\n",
    "# it is simpler but there are cases in which you will not know these types\n",
    "# This example  assumes that you have DataFrames master at least from August 31, 2018\n",
    "function f_typed()\n",
    "    Random.seed!(1); x = DataFrame(rand(1000000,2), :auto)\n",
    "    y::Vector{Float64}, z::Vector{Float64} = x[!, 1], x[!, 2]\n",
    "    p = 0.0\n",
    "    for i in 1:nrow(x)\n",
    "        p += y[i]*z[i]\n",
    "    end\n",
    "    p\n",
    "end\n",
    "\n",
    "@btime f_typed();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general for tall and narrow tables it is often useful to use `Tables.rowtable`, `Tables.columntable` or `Tables.namedtupleiterator` for intermediate processing of data in a type-stable way."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Consider using delayed `DataFrame` creation technique"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "also notice the difference in performance between copying vs non-copying data frame creation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  25.195 ms (1949524 allocations: 37.40 MiB)\n",
      "  26.055 ms (1949724 allocations: 45.03 MiB)\n",
      "  1.436 ms (624 allocations: 7.66 MiB)\n",
      "  2.702 ms (824 allocations: 15.30 MiB)\n"
     ]
    }
   ],
   "source": [
    "function f1()\n",
    "    x = DataFrame([Vector{Float64}(undef, 10^4) for i in 1:100], :auto, copycols=false) # we work with a DataFrame directly\n",
    "    for c in 1:ncol(x)\n",
    "        d = x[!, c]\n",
    "        for r in 1:nrow(x)\n",
    "            d[r] = rand()\n",
    "        end\n",
    "    end\n",
    "    x\n",
    "end\n",
    "\n",
    "function f1a()\n",
    "    x = DataFrame([Vector{Float64}(undef, 10^4) for i in 1:100], :auto) # we work with a DataFrame directly\n",
    "    for c in 1:ncol(x)\n",
    "        d = x[!, c]\n",
    "        for r in 1:nrow(x)\n",
    "            d[r] = rand()\n",
    "        end\n",
    "    end\n",
    "    x\n",
    "end\n",
    "\n",
    "function f2()\n",
    "    x = Vector{Any}(undef, 100)\n",
    "    for c in 1:length(x)\n",
    "        d = Vector{Float64}(undef, 10^4)\n",
    "        for r in 1:length(d)\n",
    "            d[r] = rand()\n",
    "        end\n",
    "        x[c] = d\n",
    "    end\n",
    "    DataFrame(x, :auto, copycols=false) # we delay creation of DataFrame after we have our job done\n",
    "end\n",
    "\n",
    "function f2a()\n",
    "    x = Vector{Any}(undef, 100)\n",
    "    for c in 1:length(x)\n",
    "        d = Vector{Float64}(undef, 10^4)\n",
    "        for r in 1:length(d)\n",
    "            d[r] = rand()\n",
    "        end\n",
    "        x[c] = d\n",
    "    end\n",
    "    DataFrame(x, :auto) # we delay creation of DataFrame after we have our job done\n",
    "end\n",
    "\n",
    "@btime f1();\n",
    "@btime f1a();\n",
    "@btime f2();\n",
    "@btime f2a();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### You can add rows to a `DataFrame` in place and it is fast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  5.662 ms (188 allocations: 38.16 MiB)\n",
      "  1.270 μs (30 allocations: 1.80 KiB)\n",
      "  416.080 ns (16 allocations: 256 bytes)\n"
     ]
    }
   ],
   "source": [
    "x = DataFrame(rand(10^6, 5), :auto)\n",
    "y = DataFrame(transpose(1.0:5.0), :auto)\n",
    "z = [1.0:5.0;]\n",
    "\n",
    "@btime vcat($x, $y); # creates a new DataFrame - slow\n",
    "@btime append!($x, $y); # in place - fast\n",
    "\n",
    "x = DataFrame(rand(10^6, 5), :auto) # reset to the same starting point\n",
    "@btime push!($x, $z); # add a single row in place - fast"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Allowing `missing` as well as `categorical` slows down computations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Int64\n",
      " raw:\n",
      "  3.339 ms (7 allocations: 7.63 MiB)\n",
      " categorical:\n",
      "  11.436 ms (4 allocations: 688 bytes)\n",
      "String\n",
      " raw:\n",
      "  16.443 ms (4 allocations: 528 bytes)\n",
      " categorical:\n",
      "  22.391 ms (4 allocations: 688 bytes)\n",
      "Union{Missing, Int64}\n",
      " raw:\n",
      "  5.920 ms (4 allocations: 560 bytes)\n",
      " categorical:\n",
      "  16.192 ms (1000004 allocations: 30.52 MiB)\n",
      "Union{Missing, String}\n",
      " raw:\n",
      "  17.110 ms (4 allocations: 528 bytes)\n",
      " categorical:\n",
      "  25.003 ms (1000004 allocations: 30.52 MiB)\n"
     ]
    }
   ],
   "source": [
    "using StatsBase\n",
    "\n",
    "function test(data) # uses countmap function to test performance\n",
    "    println(eltype(data))\n",
    "    x = rand(data, 10^6)\n",
    "    y = categorical(x)\n",
    "    println(\" raw:\")\n",
    "    @btime countmap($x)\n",
    "    println(\" categorical:\")\n",
    "    @btime countmap($y)\n",
    "    nothing\n",
    "end\n",
    "\n",
    "test(1:10)\n",
    "test([randstring() for i in 1:10])\n",
    "test(allowmissing(1:10))\n",
    "test(allowmissing([randstring() for i in 1:10]))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### When aggregating use column selector and prefer integer, categorical, or pooled array grouping variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = DataFrame(x=rand('a':'d', 10^7), y=1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/latex": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "\n",
       "First Group (2499156 rows): x = 'a': ASCII/Unicode U+0061 (category Ll: Letter, lowercase)\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 1 \\\\\n",
       "\t2 & a & 1 \\\\\n",
       "\t3 & a & 1 \\\\\n",
       "\t4 & a & 1 \\\\\n",
       "\t5 & a & 1 \\\\\n",
       "\t6 & a & 1 \\\\\n",
       "\t7 & a & 1 \\\\\n",
       "\t8 & a & 1 \\\\\n",
       "\t9 & a & 1 \\\\\n",
       "\t10 & a & 1 \\\\\n",
       "\t11 & a & 1 \\\\\n",
       "\t12 & a & 1 \\\\\n",
       "\t13 & a & 1 \\\\\n",
       "\t14 & a & 1 \\\\\n",
       "\t15 & a & 1 \\\\\n",
       "\t16 & a & 1 \\\\\n",
       "\t17 & a & 1 \\\\\n",
       "\t18 & a & 1 \\\\\n",
       "\t19 & a & 1 \\\\\n",
       "\t20 & a & 1 \\\\\n",
       "\t21 & a & 1 \\\\\n",
       "\t22 & a & 1 \\\\\n",
       "\t23 & a & 1 \\\\\n",
       "\t24 & a & 1 \\\\\n",
       "\t25 & a & 1 \\\\\n",
       "\t26 & a & 1 \\\\\n",
       "\t27 & a & 1 \\\\\n",
       "\t28 & a & 1 \\\\\n",
       "\t29 & a & 1 \\\\\n",
       "\t30 & a & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n",
       "\n",
       "$\\dots$\n",
       "\n",
       "Last Group (2499172 rows): x = 'd': ASCII/Unicode U+0064 (category Ll: Letter, lowercase)\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & d & 1 \\\\\n",
       "\t2 & d & 1 \\\\\n",
       "\t3 & d & 1 \\\\\n",
       "\t4 & d & 1 \\\\\n",
       "\t5 & d & 1 \\\\\n",
       "\t6 & d & 1 \\\\\n",
       "\t7 & d & 1 \\\\\n",
       "\t8 & d & 1 \\\\\n",
       "\t9 & d & 1 \\\\\n",
       "\t10 & d & 1 \\\\\n",
       "\t11 & d & 1 \\\\\n",
       "\t12 & d & 1 \\\\\n",
       "\t13 & d & 1 \\\\\n",
       "\t14 & d & 1 \\\\\n",
       "\t15 & d & 1 \\\\\n",
       "\t16 & d & 1 \\\\\n",
       "\t17 & d & 1 \\\\\n",
       "\t18 & d & 1 \\\\\n",
       "\t19 & d & 1 \\\\\n",
       "\t20 & d & 1 \\\\\n",
       "\t21 & d & 1 \\\\\n",
       "\t22 & d & 1 \\\\\n",
       "\t23 & d & 1 \\\\\n",
       "\t24 & d & 1 \\\\\n",
       "\t25 & d & 1 \\\\\n",
       "\t26 & d & 1 \\\\\n",
       "\t27 & d & 1 \\\\\n",
       "\t28 & d & 1 \\\\\n",
       "\t29 & d & 1 \\\\\n",
       "\t30 & d & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "First Group (2499156 rows): x = 'a': ASCII/Unicode U+0061 (category Ll: Letter, lowercase)\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Char \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ a         1\n",
       "       2 │ a         1\n",
       "       3 │ a         1\n",
       "       4 │ a         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499154 │ a         1\n",
       " 2499155 │ a         1\n",
       " 2499156 │ a         1\n",
       "\u001b[36m   2499149 rows omitted\u001b[0m\n",
       "⋮\n",
       "Last Group (2499172 rows): x = 'd': ASCII/Unicode U+0064 (category Ll: Letter, lowercase)\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Char \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ d         1\n",
       "       2 │ d         1\n",
       "       3 │ d         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499170 │ d         1\n",
       " 2499171 │ d         1\n",
       " 2499172 │ d         1\n",
       "\u001b[36m   2499166 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf = groupby(df, :x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  38.910 ms (303 allocations: 19.08 MiB)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>4×2 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">x1</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">2499156</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">2500605</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">2501067</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">2499172</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cc}\n",
       "\t& x & x1\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 2499156 \\\\\n",
       "\t2 & c & 2500605 \\\\\n",
       "\t3 & b & 2501067 \\\\\n",
       "\t4 & d & 2499172 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m4×2 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m x1      \u001b[0m\n",
       "     │\u001b[90m Char \u001b[0m\u001b[90m Int64   \u001b[0m\n",
       "─────┼───────────────\n",
       "   1 │ a     2499156\n",
       "   2 │ c     2500605\n",
       "   3 │ b     2501067\n",
       "   4 │ d     2499172"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime combine(v -> sum(v.y), $gdf) # traditional syntax, slow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  8.782 ms (218 allocations: 13.33 KiB)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>4×2 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y_sum</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">2499156</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">2500605</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">2501067</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">2499172</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\_sum\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 2499156 \\\\\n",
       "\t2 & c & 2500605 \\\\\n",
       "\t3 & b & 2501067 \\\\\n",
       "\t4 & d & 2499172 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m4×2 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y_sum   \u001b[0m\n",
       "     │\u001b[90m Char \u001b[0m\u001b[90m Int64   \u001b[0m\n",
       "─────┼───────────────\n",
       "   1 │ a     2499156\n",
       "   2 │ c     2500605\n",
       "   3 │ b     2501067\n",
       "   4 │ d     2499172"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime combine($gdf, :y=>sum) # use column selector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "transform!(df, :x => categorical => :x);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<p><b>GroupedDataFrame with 4 groups based on key: x</b></p><div><div style = \"float: left;\"><span>First Group (2499156 rows): x = CategoricalValue{Char, UInt32} &apos;a&apos;</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">2499131 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"CategoricalValue{Char, UInt32}\" style = \"text-align: left;\">Cat…</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499145</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499146</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499147</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499148</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499149</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499150</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499151</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499152</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499153</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499154</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499155</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499156</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr></tbody></table></div><p>&vellip;</p><div><div style = \"float: left;\"><span>Last Group (2499172 rows): x = CategoricalValue{Char, UInt32} &apos;d&apos;</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">2499147 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"CategoricalValue{Char, UInt32}\" style = \"text-align: left;\">Cat…</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499161</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499162</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499163</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499164</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499165</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499166</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499167</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499168</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499169</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499170</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499171</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499172</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "\n",
       "First Group (2499156 rows): x = CategoricalValue\\{Char, UInt32\\} 'a'\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Cat… & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 1 \\\\\n",
       "\t2 & a & 1 \\\\\n",
       "\t3 & a & 1 \\\\\n",
       "\t4 & a & 1 \\\\\n",
       "\t5 & a & 1 \\\\\n",
       "\t6 & a & 1 \\\\\n",
       "\t7 & a & 1 \\\\\n",
       "\t8 & a & 1 \\\\\n",
       "\t9 & a & 1 \\\\\n",
       "\t10 & a & 1 \\\\\n",
       "\t11 & a & 1 \\\\\n",
       "\t12 & a & 1 \\\\\n",
       "\t13 & a & 1 \\\\\n",
       "\t14 & a & 1 \\\\\n",
       "\t15 & a & 1 \\\\\n",
       "\t16 & a & 1 \\\\\n",
       "\t17 & a & 1 \\\\\n",
       "\t18 & a & 1 \\\\\n",
       "\t19 & a & 1 \\\\\n",
       "\t20 & a & 1 \\\\\n",
       "\t21 & a & 1 \\\\\n",
       "\t22 & a & 1 \\\\\n",
       "\t23 & a & 1 \\\\\n",
       "\t24 & a & 1 \\\\\n",
       "\t25 & a & 1 \\\\\n",
       "\t26 & a & 1 \\\\\n",
       "\t27 & a & 1 \\\\\n",
       "\t28 & a & 1 \\\\\n",
       "\t29 & a & 1 \\\\\n",
       "\t30 & a & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n",
       "\n",
       "$\\dots$\n",
       "\n",
       "Last Group (2499172 rows): x = CategoricalValue\\{Char, UInt32\\} 'd'\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Cat… & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & d & 1 \\\\\n",
       "\t2 & d & 1 \\\\\n",
       "\t3 & d & 1 \\\\\n",
       "\t4 & d & 1 \\\\\n",
       "\t5 & d & 1 \\\\\n",
       "\t6 & d & 1 \\\\\n",
       "\t7 & d & 1 \\\\\n",
       "\t8 & d & 1 \\\\\n",
       "\t9 & d & 1 \\\\\n",
       "\t10 & d & 1 \\\\\n",
       "\t11 & d & 1 \\\\\n",
       "\t12 & d & 1 \\\\\n",
       "\t13 & d & 1 \\\\\n",
       "\t14 & d & 1 \\\\\n",
       "\t15 & d & 1 \\\\\n",
       "\t16 & d & 1 \\\\\n",
       "\t17 & d & 1 \\\\\n",
       "\t18 & d & 1 \\\\\n",
       "\t19 & d & 1 \\\\\n",
       "\t20 & d & 1 \\\\\n",
       "\t21 & d & 1 \\\\\n",
       "\t22 & d & 1 \\\\\n",
       "\t23 & d & 1 \\\\\n",
       "\t24 & d & 1 \\\\\n",
       "\t25 & d & 1 \\\\\n",
       "\t26 & d & 1 \\\\\n",
       "\t27 & d & 1 \\\\\n",
       "\t28 & d & 1 \\\\\n",
       "\t29 & d & 1 \\\\\n",
       "\t30 & d & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "First Group (2499156 rows): x = CategoricalValue{Char, UInt32} 'a'\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Cat… \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ a         1\n",
       "       2 │ a         1\n",
       "       3 │ a         1\n",
       "       4 │ a         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499154 │ a         1\n",
       " 2499155 │ a         1\n",
       " 2499156 │ a         1\n",
       "\u001b[36m   2499149 rows omitted\u001b[0m\n",
       "⋮\n",
       "Last Group (2499172 rows): x = CategoricalValue{Char, UInt32} 'd'\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Cat… \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ d         1\n",
       "       2 │ d         1\n",
       "       3 │ d         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499170 │ d         1\n",
       " 2499171 │ d         1\n",
       " 2499172 │ d         1\n",
       "\u001b[36m   2499166 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf = groupby(df, :x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  9.114 ms (225 allocations: 13.91 KiB)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>4×2 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y_sum</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"CategoricalValue{Char, UInt32}\" style = \"text-align: left;\">Cat…</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">2499156</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">2501067</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">2500605</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">2499172</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\_sum\\\\\n",
       "\t\\hline\n",
       "\t& Cat… & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 2499156 \\\\\n",
       "\t2 & b & 2501067 \\\\\n",
       "\t3 & c & 2500605 \\\\\n",
       "\t4 & d & 2499172 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m4×2 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y_sum   \u001b[0m\n",
       "     │\u001b[90m Cat… \u001b[0m\u001b[90m Int64   \u001b[0m\n",
       "─────┼───────────────\n",
       "   1 │ a     2499156\n",
       "   2 │ b     2501067\n",
       "   3 │ c     2500605\n",
       "   4 │ d     2499172"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime combine($gdf, :y=>sum)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>10000000×2 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">9999975 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999989</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999990</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999991</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999992</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999993</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999994</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999995</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999996</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999997</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999998</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9999999</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10000000</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">1</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 1 \\\\\n",
       "\t2 & c & 1 \\\\\n",
       "\t3 & b & 1 \\\\\n",
       "\t4 & d & 1 \\\\\n",
       "\t5 & a & 1 \\\\\n",
       "\t6 & c & 1 \\\\\n",
       "\t7 & c & 1 \\\\\n",
       "\t8 & a & 1 \\\\\n",
       "\t9 & b & 1 \\\\\n",
       "\t10 & d & 1 \\\\\n",
       "\t11 & a & 1 \\\\\n",
       "\t12 & a & 1 \\\\\n",
       "\t13 & a & 1 \\\\\n",
       "\t14 & c & 1 \\\\\n",
       "\t15 & b & 1 \\\\\n",
       "\t16 & b & 1 \\\\\n",
       "\t17 & d & 1 \\\\\n",
       "\t18 & d & 1 \\\\\n",
       "\t19 & b & 1 \\\\\n",
       "\t20 & d & 1 \\\\\n",
       "\t21 & d & 1 \\\\\n",
       "\t22 & b & 1 \\\\\n",
       "\t23 & b & 1 \\\\\n",
       "\t24 & b & 1 \\\\\n",
       "\t25 & a & 1 \\\\\n",
       "\t26 & a & 1 \\\\\n",
       "\t27 & a & 1 \\\\\n",
       "\t28 & d & 1 \\\\\n",
       "\t29 & d & 1 \\\\\n",
       "\t30 & b & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m10000000×2 DataFrame\u001b[0m\n",
       "\u001b[1m      Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "          │\u001b[90m Char \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "──────────┼─────────────\n",
       "        1 │ a         1\n",
       "        2 │ c         1\n",
       "        3 │ b         1\n",
       "        4 │ d         1\n",
       "        5 │ a         1\n",
       "        6 │ c         1\n",
       "        7 │ c         1\n",
       "        8 │ a         1\n",
       "        9 │ b         1\n",
       "       10 │ d         1\n",
       "       11 │ a         1\n",
       "    ⋮     │  ⋮      ⋮\n",
       "  9999991 │ b         1\n",
       "  9999992 │ a         1\n",
       "  9999993 │ a         1\n",
       "  9999994 │ b         1\n",
       "  9999995 │ b         1\n",
       "  9999996 │ c         1\n",
       "  9999997 │ b         1\n",
       "  9999998 │ b         1\n",
       "  9999999 │ d         1\n",
       " 10000000 │ c         1\n",
       "\u001b[36m    9999979 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transform!(df, :x => PooledArray{Char} => :x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<p><b>GroupedDataFrame with 4 groups based on key: x</b></p><div><div style = \"float: left;\"><span>First Group (2499156 rows): x = &apos;a&apos;: ASCII/Unicode U+0061 (category Ll: Letter, lowercase)</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">2499131 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499145</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499146</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499147</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499148</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499149</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499150</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499151</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499152</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499153</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499154</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499155</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499156</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">1</td></tr></tbody></table></div><p>&vellip;</p><div><div style = \"float: left;\"><span>Last Group (2499172 rows): x = &apos;d&apos;: ASCII/Unicode U+0064 (category Ll: Letter, lowercase)</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">2499147 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499161</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499162</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499163</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499164</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499165</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499166</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499167</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499168</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499169</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499170</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499171</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2499172</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">1</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "\n",
       "First Group (2499156 rows): x = 'a': ASCII/Unicode U+0061 (category Ll: Letter, lowercase)\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 1 \\\\\n",
       "\t2 & a & 1 \\\\\n",
       "\t3 & a & 1 \\\\\n",
       "\t4 & a & 1 \\\\\n",
       "\t5 & a & 1 \\\\\n",
       "\t6 & a & 1 \\\\\n",
       "\t7 & a & 1 \\\\\n",
       "\t8 & a & 1 \\\\\n",
       "\t9 & a & 1 \\\\\n",
       "\t10 & a & 1 \\\\\n",
       "\t11 & a & 1 \\\\\n",
       "\t12 & a & 1 \\\\\n",
       "\t13 & a & 1 \\\\\n",
       "\t14 & a & 1 \\\\\n",
       "\t15 & a & 1 \\\\\n",
       "\t16 & a & 1 \\\\\n",
       "\t17 & a & 1 \\\\\n",
       "\t18 & a & 1 \\\\\n",
       "\t19 & a & 1 \\\\\n",
       "\t20 & a & 1 \\\\\n",
       "\t21 & a & 1 \\\\\n",
       "\t22 & a & 1 \\\\\n",
       "\t23 & a & 1 \\\\\n",
       "\t24 & a & 1 \\\\\n",
       "\t25 & a & 1 \\\\\n",
       "\t26 & a & 1 \\\\\n",
       "\t27 & a & 1 \\\\\n",
       "\t28 & a & 1 \\\\\n",
       "\t29 & a & 1 \\\\\n",
       "\t30 & a & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n",
       "\n",
       "$\\dots$\n",
       "\n",
       "Last Group (2499172 rows): x = 'd': ASCII/Unicode U+0064 (category Ll: Letter, lowercase)\n",
       "\n",
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & d & 1 \\\\\n",
       "\t2 & d & 1 \\\\\n",
       "\t3 & d & 1 \\\\\n",
       "\t4 & d & 1 \\\\\n",
       "\t5 & d & 1 \\\\\n",
       "\t6 & d & 1 \\\\\n",
       "\t7 & d & 1 \\\\\n",
       "\t8 & d & 1 \\\\\n",
       "\t9 & d & 1 \\\\\n",
       "\t10 & d & 1 \\\\\n",
       "\t11 & d & 1 \\\\\n",
       "\t12 & d & 1 \\\\\n",
       "\t13 & d & 1 \\\\\n",
       "\t14 & d & 1 \\\\\n",
       "\t15 & d & 1 \\\\\n",
       "\t16 & d & 1 \\\\\n",
       "\t17 & d & 1 \\\\\n",
       "\t18 & d & 1 \\\\\n",
       "\t19 & d & 1 \\\\\n",
       "\t20 & d & 1 \\\\\n",
       "\t21 & d & 1 \\\\\n",
       "\t22 & d & 1 \\\\\n",
       "\t23 & d & 1 \\\\\n",
       "\t24 & d & 1 \\\\\n",
       "\t25 & d & 1 \\\\\n",
       "\t26 & d & 1 \\\\\n",
       "\t27 & d & 1 \\\\\n",
       "\t28 & d & 1 \\\\\n",
       "\t29 & d & 1 \\\\\n",
       "\t30 & d & 1 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "GroupedDataFrame with 4 groups based on key: x\n",
       "First Group (2499156 rows): x = 'a': ASCII/Unicode U+0061 (category Ll: Letter, lowercase)\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Char \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ a         1\n",
       "       2 │ a         1\n",
       "       3 │ a         1\n",
       "       4 │ a         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499154 │ a         1\n",
       " 2499155 │ a         1\n",
       " 2499156 │ a         1\n",
       "\u001b[36m   2499149 rows omitted\u001b[0m\n",
       "⋮\n",
       "Last Group (2499172 rows): x = 'd': ASCII/Unicode U+0064 (category Ll: Letter, lowercase)\n",
       "\u001b[1m     Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y     \u001b[0m\n",
       "         │\u001b[90m Char \u001b[0m\u001b[90m Int64 \u001b[0m\n",
       "─────────┼─────────────\n",
       "       1 │ d         1\n",
       "       2 │ d         1\n",
       "       3 │ d         1\n",
       "    ⋮    │  ⋮      ⋮\n",
       " 2499170 │ d         1\n",
       " 2499171 │ d         1\n",
       " 2499172 │ d         1\n",
       "\u001b[36m   2499166 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf = groupby(df, :x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  9.486 ms (220 allocations: 13.39 KiB)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>4×2 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y_sum</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Char\" style = \"text-align: left;\">Char</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">a</td><td style = \"text-align: right;\">2499156</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">c</td><td style = \"text-align: right;\">2500605</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">b</td><td style = \"text-align: right;\">2501067</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">d</td><td style = \"text-align: right;\">2499172</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cc}\n",
       "\t& x & y\\_sum\\\\\n",
       "\t\\hline\n",
       "\t& Char & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & a & 2499156 \\\\\n",
       "\t2 & c & 2500605 \\\\\n",
       "\t3 & b & 2501067 \\\\\n",
       "\t4 & d & 2499172 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m4×2 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x    \u001b[0m\u001b[1m y_sum   \u001b[0m\n",
       "     │\u001b[90m Char \u001b[0m\u001b[90m Int64   \u001b[0m\n",
       "─────┼───────────────\n",
       "   1 │ a     2499156\n",
       "   2 │ c     2500605\n",
       "   3 │ b     2501067\n",
       "   4 │ d     2499172"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime combine($gdf, :y=>sum)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Use views instead of materializing a new DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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style = \"text-align: left;\">x61</th><th style = \"text-align: left;\">x62</th><th style = \"text-align: left;\">x63</th><th style = \"text-align: left;\">x64</th><th style = \"text-align: left;\">x65</th><th style = \"text-align: left;\">x66</th><th style = \"text-align: left;\">x67</th><th style = \"text-align: left;\">x68</th><th style = \"text-align: left;\">x69</th><th style = \"text-align: left;\">x70</th><th style = \"text-align: left;\">x71</th><th style = \"text-align: left;\">x72</th><th style = \"text-align: left;\">x73</th><th style = \"text-align: left;\">x74</th><th style = \"text-align: left;\">x75</th><th style = \"text-align: left;\">x76</th><th style = \"text-align: left;\">x77</th><th style = \"text-align: left;\">x78</th><th style = \"text-align: left;\">x79</th><th style = \"text-align: left;\">x80</th><th style = \"text-align: left;\">x81</th><th style = \"text-align: left;\">x82</th><th style = \"text-align: left;\">x83</th><th style = \"text-align: 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title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: right;\">&ctdot;</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.0523643</td><td style = \"text-align: right;\">0.609618</td><td style = \"text-align: right;\">0.959066</td><td style = \"text-align: right;\">0.940724</td><td style = \"text-align: right;\">0.497786</td><td style = \"text-align: right;\">0.42965</td><td style = 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style = \"text-align: right;\">0.766872</td><td style = \"text-align: right;\">0.364495</td><td style = \"text-align: right;\">0.0472874</td><td style = \"text-align: right;\">0.168554</td><td style = \"text-align: right;\">0.461221</td><td style = \"text-align: right;\">0.923582</td><td style = \"text-align: right;\">0.993141</td><td style = \"text-align: right;\">0.499462</td><td style = \"text-align: right;\">0.632815</td><td style = \"text-align: right;\">0.326624</td><td style = \"text-align: right;\">0.801396</td><td style = \"text-align: right;\">&ctdot;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: right;\">0.996383</td><td style = \"text-align: right;\">0.323279</td><td style = \"text-align: right;\">0.0114092</td><td style = \"text-align: right;\">0.942402</td><td style = \"text-align: right;\">0.987924</td><td style = \"text-align: right;\">0.936681</td><td style = \"text-align: 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      "text/latex": [
       "\\begin{tabular}{r|ccccccccc}\n",
       "\t& x1 & x2 & x3 & x4 & x5 & x6 & x7 & x8 & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 0.0523643 & 0.609618 & 0.959066 & 0.940724 & 0.497786 & 0.42965 & 0.913882 & 0.747651 & $\\dots$ \\\\\n",
       "\t2 & 0.996383 & 0.323279 & 0.0114092 & 0.942402 & 0.987924 & 0.936681 & 0.864094 & 0.932215 & $\\dots$ \\\\\n",
       "\t3 & 0.141696 & 0.622605 & 0.661393 & 0.1708 & 0.11548 & 0.475541 & 0.737145 & 0.484979 & $\\dots$ \\\\\n",
       "\t4 & 0.157635 & 0.203508 & 0.95652 & 0.652674 & 0.433547 & 0.0857123 & 0.430567 & 0.701038 & $\\dots$ \\\\\n",
       "\t5 & 0.271134 & 0.420181 & 0.146054 & 0.184522 & 0.679981 & 0.595131 & 0.304462 & 0.46216 & $\\dots$ \\\\\n",
       "\t6 & 0.0365417 & 0.874611 & 0.13122 & 0.755877 & 0.686026 & 0.24379 & 0.187441 & 0.558081 & $\\dots$ \\\\\n",
       "\t7 & 0.851209 & 0.940214 & 0.89384 & 0.588379 & 0.411588 & 0.979129 & 0.569793 & 0.0251611 & $\\dots$ \\\\\n",
       "\t8 & 0.817017 & 0.139364 & 0.504069 & 0.449526 & 0.93798 & 0.122942 & 0.0588101 & 0.389475 & $\\dots$ \\\\\n",
       "\t9 & 0.114139 & 0.196757 & 0.516531 & 0.697099 & 0.491451 & 0.654839 & 0.819769 & 0.984801 & $\\dots$ \\\\\n",
       "\t10 & 0.554953 & 0.0912133 & 0.171385 & 0.793165 & 0.101555 & 0.746244 & 0.246986 & 0.779547 & $\\dots$ \\\\\n",
       "\t11 & 0.806327 & 0.865167 & 0.105497 & 0.29133 & 0.456944 & 0.439059 & 0.0697077 & 0.765449 & $\\dots$ \\\\\n",
       "\t12 & 0.334948 & 0.895836 & 0.471747 & 0.809789 & 0.426612 & 0.0577095 & 0.355322 & 0.573619 & $\\dots$ \\\\\n",
       "\t13 & 0.0466816 & 0.955787 & 0.567764 & 0.332166 & 0.87076 & 0.00967203 & 0.923863 & 0.077601 & $\\dots$ \\\\\n",
       "\t14 & 0.93334 & 0.574209 & 0.68933 & 0.75571 & 0.28393 & 0.76207 & 0.871083 & 0.700909 & $\\dots$ \\\\\n",
       "\t15 & 0.659251 & 0.312095 & 0.539482 & 0.366969 & 0.259519 & 0.603826 & 0.578699 & 0.658115 & $\\dots$ \\\\\n",
       "\t16 & 0.330713 & 0.0177991 & 0.305602 & 0.264808 & 0.405591 & 0.514626 & 0.0769079 & 0.895572 & $\\dots$ \\\\\n",
       "\t17 & 0.431738 & 0.186641 & 0.58195 & 0.195009 & 0.495294 & 0.62935 & 0.601766 & 0.0548215 & $\\dots$ \\\\\n",
       "\t18 & 0.960961 & 0.38803 & 0.19544 & 0.367174 & 0.66942 & 0.935488 & 0.0917181 & 0.483003 & $\\dots$ \\\\\n",
       "\t19 & 0.503108 & 0.342521 & 0.663048 & 0.668014 & 0.102159 & 0.420158 & 0.805954 & 0.287944 & $\\dots$ \\\\\n",
       "\t20 & 0.925004 & 0.0264221 & 0.457357 & 0.465631 & 0.948586 & 0.308914 & 0.641734 & 0.146941 & $\\dots$ \\\\\n",
       "\t21 & 0.415878 & 0.0960616 & 0.116798 & 0.945 & 0.459381 & 0.730803 & 0.126551 & 0.59141 & $\\dots$ \\\\\n",
       "\t22 & 0.208208 & 0.990333 & 0.819548 & 0.308671 & 0.530236 & 0.889472 & 0.56089 & 0.299414 & $\\dots$ \\\\\n",
       "\t23 & 0.947443 & 0.724233 & 0.0910326 & 0.108763 & 0.475207 & 0.922588 & 0.696114 & 0.23592 & $\\dots$ \\\\\n",
       "\t24 & 0.519054 & 0.628626 & 0.865813 & 0.167858 & 0.348184 & 0.630573 & 0.207705 & 0.94114 & $\\dots$ \\\\\n",
       "\t25 & 0.236315 & 0.331874 & 0.0687998 & 0.92409 & 0.993385 & 0.094512 & 0.617591 & 0.862002 & $\\dots$ \\\\\n",
       "\t26 & 0.350835 & 0.893435 & 0.457978 & 0.0770199 & 0.632576 & 0.678506 & 0.292746 & 0.915199 & $\\dots$ \\\\\n",
       "\t27 & 0.939578 & 0.414193 & 0.951482 & 0.959504 & 0.534169 & 0.297074 & 0.31631 & 0.547082 & $\\dots$ \\\\\n",
       "\t28 & 0.321845 & 0.779624 & 0.546045 & 0.164712 & 0.412508 & 0.95306 & 0.960464 & 0.158199 & $\\dots$ \\\\\n",
       "\t29 & 0.119075 & 0.858263 & 0.540812 & 0.508605 & 0.886353 & 0.177676 & 0.794637 & 0.293116 & $\\dots$ \\\\\n",
       "\t30 & 0.508099 & 0.488642 & 0.550766 & 0.148986 & 0.24556 & 0.993329 & 0.409876 & 0.92428 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m100×1000 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x1        \u001b[0m\u001b[1m x2        \u001b[0m\u001b[1m x3        \u001b[0m\u001b[1m x4        \u001b[0m\u001b[1m x5       \u001b[0m\u001b[1m x6         \u001b[0m\u001b[1m x7   \u001b[0m ⋯\n",
       "     │\u001b[90m Float64   \u001b[0m\u001b[90m Float64   \u001b[0m\u001b[90m Float64   \u001b[0m\u001b[90m Float64   \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64    \u001b[0m\u001b[90m Float\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.0523643  0.609618   0.959066   0.940724   0.497786  0.42965     0.913 ⋯\n",
       "   2 │ 0.996383   0.323279   0.0114092  0.942402   0.987924  0.936681    0.864\n",
       "   3 │ 0.141696   0.622605   0.661393   0.1708     0.11548   0.475541    0.737\n",
       "   4 │ 0.157635   0.203508   0.95652    0.652674   0.433547  0.0857123   0.430\n",
       "   5 │ 0.271134   0.420181   0.146054   0.184522   0.679981  0.595131    0.304 ⋯\n",
       "   6 │ 0.0365417  0.874611   0.13122    0.755877   0.686026  0.24379     0.187\n",
       "   7 │ 0.851209   0.940214   0.89384    0.588379   0.411588  0.979129    0.569\n",
       "   8 │ 0.817017   0.139364   0.504069   0.449526   0.93798   0.122942    0.058\n",
       "   9 │ 0.114139   0.196757   0.516531   0.697099   0.491451  0.654839    0.819 ⋯\n",
       "  10 │ 0.554953   0.0912133  0.171385   0.793165   0.101555  0.746244    0.246\n",
       "  11 │ 0.806327   0.865167   0.105497   0.29133    0.456944  0.439059    0.069\n",
       "  ⋮  │     ⋮          ⋮          ⋮          ⋮         ⋮          ⋮           ⋮ ⋱\n",
       "  91 │ 0.583313   0.488746   0.952546   0.280953   0.102099  0.298825    0.315\n",
       "  92 │ 0.512762   0.872749   0.344774   0.132688   0.19228   0.483912    0.821 ⋯\n",
       "  93 │ 0.426916   0.777096   0.809411   0.295369   0.872829  0.0246804   0.346\n",
       "  94 │ 0.957615   0.268465   0.78976    0.837829   0.607297  0.167805    0.509\n",
       "  95 │ 0.714871   0.935149   0.655696   0.442315   0.72654   0.742891    0.611\n",
       "  96 │ 0.902109   0.798981   0.738288   0.902173   0.947526  0.868473    0.490 ⋯\n",
       "  97 │ 0.182507   0.2852     0.417207   0.20366    0.457449  0.105202    0.458\n",
       "  98 │ 0.871924   0.955307   0.840621   0.905814   0.295505  0.507542    0.915\n",
       "  99 │ 0.111481   0.287731   0.0395291  0.900632   0.57495   0.997926    0.180\n",
       " 100 │ 0.79124    0.916774   0.592784   0.226972   0.173077  0.849683    0.564 ⋯\n",
       "\u001b[36m                                                 994 columns and 79 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = DataFrame(rand(100, 1000), :auto)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  161.200 μs (2986 allocations: 159.50 KiB)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>1×1000 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">900 columns omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x1</th><th style = \"text-align: left;\">x2</th><th style = \"text-align: left;\">x3</th><th style = \"text-align: left;\">x4</th><th style = \"text-align: left;\">x5</th><th style = \"text-align: left;\">x6</th><th style = \"text-align: left;\">x7</th><th style = \"text-align: left;\">x8</th><th style = \"text-align: left;\">x9</th><th style = \"text-align: left;\">x10</th><th style = \"text-align: left;\">x11</th><th style = \"text-align: left;\">x12</th><th style = \"text-align: left;\">x13</th><th 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style = \"text-align: left;\">x85</th><th style = \"text-align: left;\">x86</th><th style = \"text-align: left;\">x87</th><th style = \"text-align: left;\">x88</th><th style = \"text-align: left;\">x89</th><th style = \"text-align: left;\">x90</th><th style = \"text-align: left;\">x91</th><th style = \"text-align: left;\">x92</th><th style = \"text-align: left;\">x93</th><th style = \"text-align: left;\">x94</th><th style = \"text-align: left;\">x95</th><th style = \"text-align: left;\">x96</th><th style = \"text-align: left;\">x97</th><th style = \"text-align: left;\">x98</th><th style = \"text-align: left;\">x99</th><th style = \"text-align: left;\">x100</th><th style = \"text-align: right;\">&ctdot;</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: right;\">&ctdot;</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.0523643</td><td style = \"text-align: right;\">0.609618</td><td style = \"text-align: right;\">0.959066</td><td style = \"text-align: right;\">0.940724</td><td style = \"text-align: right;\">0.497786</td><td style = \"text-align: right;\">0.42965</td><td style = \"text-align: right;\">0.913882</td><td style = \"text-align: right;\">0.747651</td><td style = \"text-align: right;\">0.446724</td><td style = \"text-align: right;\">0.0749807</td><td style = \"text-align: right;\">0.293294</td><td style = \"text-align: right;\">0.680345</td><td style = \"text-align: right;\">0.162048</td><td style = \"text-align: right;\">0.159452</td><td style = \"text-align: right;\">0.958113</td><td style = \"text-align: right;\">0.922532</td><td style = \"text-align: right;\">0.834303</td><td style = \"text-align: right;\">0.966029</td><td style = \"text-align: right;\">0.38394</td><td style = \"text-align: right;\">0.625653</td><td style = \"text-align: right;\">0.830014</td><td style = \"text-align: right;\">0.251016</td><td style = \"text-align: right;\">0.357237</td><td style = \"text-align: right;\">0.466607</td><td style = \"text-align: right;\">0.749349</td><td style = \"text-align: right;\">0.126183</td><td style = \"text-align: right;\">0.109127</td><td style = \"text-align: right;\">0.0957731</td><td style = \"text-align: right;\">0.194717</td><td style = \"text-align: right;\">0.355339</td><td style = \"text-align: right;\">0.514552</td><td style = \"text-align: right;\">0.744211</td><td style = \"text-align: right;\">0.123781</td><td style = \"text-align: right;\">0.320412</td><td style = \"text-align: right;\">0.552054</td><td style = \"text-align: right;\">0.482046</td><td style = \"text-align: right;\">0.882937</td><td style = \"text-align: right;\">0.629033</td><td style = \"text-align: right;\">0.709226</td><td style = \"text-align: right;\">0.40338</td><td style = \"text-align: right;\">0.267963</td><td style = \"text-align: right;\">0.149298</td><td style = \"text-align: right;\">0.599479</td><td style = \"text-align: right;\">0.479195</td><td style = \"text-align: right;\">0.173125</td><td style = \"text-align: right;\">0.610714</td><td style = \"text-align: right;\">0.0543737</td><td style = \"text-align: right;\">0.0209455</td><td style = \"text-align: right;\">0.620016</td><td style = \"text-align: right;\">0.679305</td><td style = \"text-align: right;\">0.813113</td><td style = \"text-align: right;\">0.52726</td><td style = \"text-align: right;\">0.678049</td><td style = \"text-align: right;\">0.602801</td><td style = \"text-align: right;\">0.263353</td><td style = \"text-align: right;\">0.140502</td><td style = \"text-align: right;\">0.173345</td><td style = \"text-align: right;\">0.00508686</td><td style = \"text-align: right;\">0.882622</td><td style = \"text-align: right;\">0.671508</td><td style = \"text-align: right;\">0.903111</td><td style = \"text-align: right;\">0.992132</td><td style = \"text-align: right;\">0.130133</td><td style = \"text-align: right;\">0.825957</td><td style = \"text-align: right;\">0.749588</td><td style = \"text-align: right;\">0.413133</td><td style = \"text-align: right;\">0.453115</td><td style = \"text-align: right;\">0.981498</td><td style = \"text-align: right;\">0.670985</td><td style = \"text-align: right;\">0.430595</td><td style = \"text-align: right;\">0.716924</td><td style = \"text-align: right;\">0.111158</td><td style = \"text-align: right;\">0.285703</td><td style = \"text-align: right;\">0.984693</td><td style = \"text-align: right;\">0.408762</td><td style = \"text-align: right;\">0.84116</td><td style = \"text-align: right;\">0.58661</td><td style = \"text-align: right;\">0.376678</td><td style = \"text-align: right;\">0.117205</td><td style = \"text-align: right;\">0.872283</td><td style = \"text-align: right;\">0.373637</td><td style = \"text-align: right;\">0.367935</td><td style = \"text-align: right;\">0.850897</td><td style = \"text-align: right;\">0.338093</td><td style = \"text-align: right;\">0.826562</td><td style = \"text-align: right;\">0.0382447</td><td style = \"text-align: right;\">0.379849</td><td style = \"text-align: right;\">0.622853</td><td style = \"text-align: right;\">0.923399</td><td style = \"text-align: right;\">0.766872</td><td style = \"text-align: right;\">0.364495</td><td style = \"text-align: right;\">0.0472874</td><td style = \"text-align: right;\">0.168554</td><td style = \"text-align: right;\">0.461221</td><td style = \"text-align: right;\">0.923582</td><td style = \"text-align: right;\">0.993141</td><td style = \"text-align: right;\">0.499462</td><td style = \"text-align: right;\">0.632815</td><td style = \"text-align: right;\">0.326624</td><td style = \"text-align: right;\">0.801396</td><td style = \"text-align: right;\">&ctdot;</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccccccc}\n",
       "\t& x1 & x2 & x3 & x4 & x5 & x6 & x7 & x8 & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 0.0523643 & 0.609618 & 0.959066 & 0.940724 & 0.497786 & 0.42965 & 0.913882 & 0.747651 & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m1×1000 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x1        \u001b[0m\u001b[1m x2       \u001b[0m\u001b[1m x3       \u001b[0m\u001b[1m x4       \u001b[0m\u001b[1m x5       \u001b[0m\u001b[1m x6      \u001b[0m\u001b[1m x7       \u001b[0m\u001b[1m x\u001b[0m ⋯\n",
       "     │\u001b[90m Float64   \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64 \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m F\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.0523643  0.609618  0.959066  0.940724  0.497786  0.42965  0.913882  0 ⋯\n",
       "\u001b[36m                                                             993 columns omitted\u001b[0m"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime $x[1:1, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  23.795 ns (0 allocations: 0 bytes)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>DataFrameRow (1000 columns)</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">900 columns omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowLabel\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x1</th><th style = \"text-align: left;\">x2</th><th style = \"text-align: left;\">x3</th><th style = \"text-align: left;\">x4</th><th style = \"text-align: left;\">x5</th><th style = \"text-align: left;\">x6</th><th style = \"text-align: left;\">x7</th><th style = \"text-align: left;\">x8</th><th style = \"text-align: left;\">x9</th><th style = \"text-align: left;\">x10</th><th style = \"text-align: left;\">x11</th><th style = \"text-align: left;\">x12</th><th style = \"text-align: 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\"text-align: left;\">x37</th><th style = \"text-align: left;\">x38</th><th style = \"text-align: left;\">x39</th><th style = \"text-align: left;\">x40</th><th style = \"text-align: left;\">x41</th><th style = \"text-align: left;\">x42</th><th style = \"text-align: left;\">x43</th><th style = \"text-align: left;\">x44</th><th style = \"text-align: left;\">x45</th><th style = \"text-align: left;\">x46</th><th style = \"text-align: left;\">x47</th><th style = \"text-align: left;\">x48</th><th style = \"text-align: left;\">x49</th><th style = \"text-align: left;\">x50</th><th style = \"text-align: left;\">x51</th><th style = \"text-align: left;\">x52</th><th style = \"text-align: left;\">x53</th><th style = \"text-align: left;\">x54</th><th style = \"text-align: left;\">x55</th><th style = \"text-align: left;\">x56</th><th style = \"text-align: left;\">x57</th><th style = \"text-align: left;\">x58</th><th style = \"text-align: left;\">x59</th><th style = \"text-align: left;\">x60</th><th style = \"text-align: left;\">x61</th><th style = \"text-align: left;\">x62</th><th style = \"text-align: left;\">x63</th><th style = \"text-align: left;\">x64</th><th style = \"text-align: left;\">x65</th><th style = \"text-align: left;\">x66</th><th style = \"text-align: left;\">x67</th><th style = \"text-align: left;\">x68</th><th style = \"text-align: left;\">x69</th><th style = \"text-align: left;\">x70</th><th style = \"text-align: left;\">x71</th><th style = \"text-align: left;\">x72</th><th style = \"text-align: left;\">x73</th><th style = \"text-align: left;\">x74</th><th style = \"text-align: left;\">x75</th><th style = \"text-align: left;\">x76</th><th style = \"text-align: left;\">x77</th><th style = \"text-align: left;\">x78</th><th style = \"text-align: left;\">x79</th><th style = \"text-align: left;\">x80</th><th style = \"text-align: left;\">x81</th><th style = \"text-align: left;\">x82</th><th style = \"text-align: left;\">x83</th><th style = \"text-align: left;\">x84</th><th style = \"text-align: left;\">x85</th><th style = \"text-align: left;\">x86</th><th style = \"text-align: left;\">x87</th><th style = \"text-align: left;\">x88</th><th style = \"text-align: left;\">x89</th><th style = \"text-align: left;\">x90</th><th style = \"text-align: left;\">x91</th><th style = \"text-align: left;\">x92</th><th style = \"text-align: left;\">x93</th><th style = \"text-align: left;\">x94</th><th style = \"text-align: left;\">x95</th><th style = \"text-align: left;\">x96</th><th style = \"text-align: left;\">x97</th><th style = \"text-align: left;\">x98</th><th style = \"text-align: left;\">x99</th><th style = \"text-align: left;\">x100</th><th style = \"text-align: right;\">&ctdot;</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowLabel\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: right;\">&ctdot;</th></tr></thead><tbody><tr><td class = \"rowLabel\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.0523643</td><td style = \"text-align: right;\">0.609618</td><td style = \"text-align: right;\">0.959066</td><td style = \"text-align: right;\">0.940724</td><td style = \"text-align: right;\">0.497786</td><td style = \"text-align: right;\">0.42965</td><td style = \"text-align: right;\">0.913882</td><td style = \"text-align: right;\">0.747651</td><td style = \"text-align: right;\">0.446724</td><td style = \"text-align: right;\">0.0749807</td><td style = \"text-align: right;\">0.293294</td><td style = \"text-align: right;\">0.680345</td><td style = \"text-align: right;\">0.162048</td><td style = \"text-align: right;\">0.159452</td><td style = \"text-align: right;\">0.958113</td><td style = \"text-align: right;\">0.922532</td><td style = \"text-align: right;\">0.834303</td><td style = \"text-align: right;\">0.966029</td><td style = \"text-align: right;\">0.38394</td><td style = \"text-align: right;\">0.625653</td><td style = \"text-align: right;\">0.830014</td><td style = \"text-align: right;\">0.251016</td><td style = \"text-align: right;\">0.357237</td><td style = \"text-align: right;\">0.466607</td><td style = \"text-align: right;\">0.749349</td><td style = \"text-align: right;\">0.126183</td><td style = \"text-align: right;\">0.109127</td><td style = \"text-align: right;\">0.0957731</td><td style = \"text-align: right;\">0.194717</td><td style = \"text-align: right;\">0.355339</td><td style = \"text-align: right;\">0.514552</td><td style = \"text-align: right;\">0.744211</td><td style = \"text-align: right;\">0.123781</td><td style = \"text-align: right;\">0.320412</td><td style = \"text-align: right;\">0.552054</td><td style = \"text-align: right;\">0.482046</td><td style = \"text-align: right;\">0.882937</td><td style = \"text-align: right;\">0.629033</td><td style = \"text-align: right;\">0.709226</td><td style = \"text-align: right;\">0.40338</td><td style = \"text-align: right;\">0.267963</td><td style = \"text-align: right;\">0.149298</td><td style = \"text-align: right;\">0.599479</td><td style = \"text-align: right;\">0.479195</td><td style = \"text-align: right;\">0.173125</td><td style = \"text-align: right;\">0.610714</td><td style = \"text-align: right;\">0.0543737</td><td style = \"text-align: right;\">0.0209455</td><td style = \"text-align: right;\">0.620016</td><td style = \"text-align: right;\">0.679305</td><td style = \"text-align: right;\">0.813113</td><td style = \"text-align: right;\">0.52726</td><td style = \"text-align: right;\">0.678049</td><td style = \"text-align: right;\">0.602801</td><td style = \"text-align: right;\">0.263353</td><td style = \"text-align: right;\">0.140502</td><td style = \"text-align: right;\">0.173345</td><td style = \"text-align: right;\">0.00508686</td><td style = \"text-align: right;\">0.882622</td><td style = \"text-align: right;\">0.671508</td><td style = \"text-align: right;\">0.903111</td><td style = \"text-align: right;\">0.992132</td><td style = \"text-align: right;\">0.130133</td><td style = \"text-align: right;\">0.825957</td><td style = \"text-align: right;\">0.749588</td><td style = \"text-align: right;\">0.413133</td><td style = \"text-align: right;\">0.453115</td><td style = \"text-align: right;\">0.981498</td><td style = \"text-align: right;\">0.670985</td><td style = \"text-align: right;\">0.430595</td><td style = \"text-align: right;\">0.716924</td><td style = \"text-align: right;\">0.111158</td><td style = \"text-align: right;\">0.285703</td><td style = \"text-align: right;\">0.984693</td><td style = \"text-align: right;\">0.408762</td><td style = \"text-align: right;\">0.84116</td><td style = \"text-align: right;\">0.58661</td><td style = \"text-align: right;\">0.376678</td><td style = \"text-align: right;\">0.117205</td><td style = \"text-align: right;\">0.872283</td><td style = \"text-align: right;\">0.373637</td><td style = \"text-align: right;\">0.367935</td><td style = \"text-align: right;\">0.850897</td><td style = \"text-align: right;\">0.338093</td><td style = \"text-align: right;\">0.826562</td><td style = \"text-align: right;\">0.0382447</td><td style = \"text-align: right;\">0.379849</td><td style = \"text-align: right;\">0.622853</td><td style = \"text-align: right;\">0.923399</td><td style = \"text-align: right;\">0.766872</td><td style = \"text-align: right;\">0.364495</td><td style = \"text-align: right;\">0.0472874</td><td style = \"text-align: right;\">0.168554</td><td style = \"text-align: right;\">0.461221</td><td style = \"text-align: right;\">0.923582</td><td style = \"text-align: right;\">0.993141</td><td style = \"text-align: right;\">0.499462</td><td style = \"text-align: right;\">0.632815</td><td style = \"text-align: right;\">0.326624</td><td style = \"text-align: right;\">0.801396</td><td style = \"text-align: right;\">&ctdot;</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccccccc}\n",
       "\t& x1 & x2 & x3 & x4 & x5 & x6 & x7 & x8 & \\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & Float64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & 0.0523643 & 0.609618 & 0.959066 & 0.940724 & 0.497786 & 0.42965 & 0.913882 & 0.747651 & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1mDataFrameRow\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x1        \u001b[0m\u001b[1m x2       \u001b[0m\u001b[1m x3       \u001b[0m\u001b[1m x4       \u001b[0m\u001b[1m x5       \u001b[0m\u001b[1m x6      \u001b[0m\u001b[1m x7       \u001b[0m\u001b[1m x\u001b[0m ⋯\n",
       "     │\u001b[90m Float64   \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64 \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m F\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.0523643  0.609618  0.959066  0.940724  0.497786  0.42965  0.913882  0 ⋯\n",
       "\u001b[36m                                                             993 columns omitted\u001b[0m"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime $x[1, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  23.795 ns (0 allocations: 0 bytes)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>1×1000 SubDataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">900 columns omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">x1</th><th style = \"text-align: left;\">x2</th><th style = \"text-align: left;\">x3</th><th style = \"text-align: left;\">x4</th><th style = \"text-align: left;\">x5</th><th style = \"text-align: left;\">x6</th><th style = \"text-align: left;\">x7</th><th style = \"text-align: left;\">x8</th><th style = \"text-align: left;\">x9</th><th style = \"text-align: left;\">x10</th><th style = \"text-align: left;\">x11</th><th style = \"text-align: left;\">x12</th><th style = \"text-align: left;\">x13</th><th 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style = \"text-align: left;\">x85</th><th style = \"text-align: left;\">x86</th><th style = \"text-align: left;\">x87</th><th style = \"text-align: left;\">x88</th><th style = \"text-align: left;\">x89</th><th style = \"text-align: left;\">x90</th><th style = \"text-align: left;\">x91</th><th style = \"text-align: left;\">x92</th><th style = \"text-align: left;\">x93</th><th style = \"text-align: left;\">x94</th><th style = \"text-align: left;\">x95</th><th style = \"text-align: left;\">x96</th><th style = \"text-align: left;\">x97</th><th style = \"text-align: left;\">x98</th><th style = \"text-align: left;\">x99</th><th style = \"text-align: left;\">x100</th><th style = \"text-align: right;\">&ctdot;</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: right;\">&ctdot;</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">0.0523643</td><td style = \"text-align: right;\">0.609618</td><td style = \"text-align: right;\">0.959066</td><td style = \"text-align: right;\">0.940724</td><td style = \"text-align: right;\">0.497786</td><td style = \"text-align: right;\">0.42965</td><td style = \"text-align: right;\">0.913882</td><td style = \"text-align: right;\">0.747651</td><td style = \"text-align: right;\">0.446724</td><td style = \"text-align: right;\">0.0749807</td><td style = \"text-align: right;\">0.293294</td><td style = \"text-align: right;\">0.680345</td><td style = \"text-align: right;\">0.162048</td><td style = \"text-align: right;\">0.159452</td><td style = \"text-align: right;\">0.958113</td><td style = \"text-align: right;\">0.922532</td><td style = \"text-align: right;\">0.834303</td><td style = \"text-align: right;\">0.966029</td><td style = \"text-align: right;\">0.38394</td><td style = \"text-align: right;\">0.625653</td><td style = \"text-align: right;\">0.830014</td><td style = \"text-align: right;\">0.251016</td><td style = \"text-align: right;\">0.357237</td><td style = \"text-align: right;\">0.466607</td><td style = \"text-align: right;\">0.749349</td><td style = \"text-align: right;\">0.126183</td><td style = \"text-align: right;\">0.109127</td><td style = 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       "   1 │ 0.0523643  0.609618  0.959066  0.940724  0.497786  0.42965  0.913882  0 ⋯\n",
       "\u001b[36m                                                             993 columns omitted\u001b[0m"
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      "text/plain": [
       "\u001b[1m1×20 SubDataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m x1        \u001b[0m\u001b[1m x2       \u001b[0m\u001b[1m x3       \u001b[0m\u001b[1m x4       \u001b[0m\u001b[1m x5       \u001b[0m\u001b[1m x6      \u001b[0m\u001b[1m x7       \u001b[0m\u001b[1m x\u001b[0m ⋯\n",
       "     │\u001b[90m Float64   \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m Float64 \u001b[0m\u001b[90m Float64  \u001b[0m\u001b[90m F\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ 0.0523643  0.609618  0.959066  0.940724  0.497786  0.42965  0.913882  0 ⋯\n",
       "\u001b[36m                                                              13 columns omitted\u001b[0m"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@btime view($x, 1:1, 1:20)"
   ]
  }
 ],
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