plot_results.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8e7b02ea-1b1a-4828-804a-9055eefd17e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "sns.set(rc = {'figure.figsize':(8, 8)})\n",
    "sns.set_style(\"darkgrid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "354440e7-d577-408d-800b-ba66a37cd895",
   "metadata": {},
   "source": [
    "# Input filename"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "96551b71-b24f-4441-8825-dfb52c8edb80",
   "metadata": {},
   "outputs": [],
   "source": [
    "in_filename = 'results.csv'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66a1750e-1f61-442c-b219-04382ad145c1",
   "metadata": {},
   "source": [
    "# Read in data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c61e1ec7-a77f-4c86-abd8-98c8f4bafe4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "in_filename = './sample_data/' + in_filename"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b898e886-a991-418f-b793-54deabd04aa4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>NumRows</th>\n",
       "      <th>Device</th>\n",
       "      <th>Task</th>\n",
       "      <th>Time (seconds)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>500000</td>\n",
       "      <td>CPU</td>\n",
       "      <td>Load data</td>\n",
       "      <td>0.3540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>500000</td>\n",
       "      <td>CPU</td>\n",
       "      <td>Write date</td>\n",
       "      <td>1.1200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>500000</td>\n",
       "      <td>CPU</td>\n",
       "      <td>Describe dataframe</td>\n",
       "      <td>0.0539</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>500000</td>\n",
       "      <td>CPU</td>\n",
       "      <td>Set index on dataframe</td>\n",
       "      <td>0.0502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>500000</td>\n",
       "      <td>CPU</td>\n",
       "      <td>Concat multiple dataframes</td>\n",
       "      <td>0.0855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>20000000</td>\n",
       "      <td>GPU</td>\n",
       "      <td>OLS Regression</td>\n",
       "      <td>0.1960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>20000000</td>\n",
       "      <td>GPU</td>\n",
       "      <td>Logistic Regression</td>\n",
       "      <td>8.7000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>20000000</td>\n",
       "      <td>GPU</td>\n",
       "      <td>K-Means</td>\n",
       "      <td>2.4800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>20000000</td>\n",
       "      <td>GPU</td>\n",
       "      <td>Random Forest Classifier</td>\n",
       "      <td>13.8000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>20000000</td>\n",
       "      <td>GPU</td>\n",
       "      <td>Gradient Boosting</td>\n",
       "      <td>3.5600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      NumRows Device                        Task  Time (seconds)\n",
       "0      500000    CPU                   Load data          0.3540\n",
       "1      500000    CPU                  Write date          1.1200\n",
       "2      500000    CPU          Describe dataframe          0.0539\n",
       "3      500000    CPU      Set index on dataframe          0.0502\n",
       "4      500000    CPU  Concat multiple dataframes          0.0855\n",
       "..        ...    ...                         ...             ...\n",
       "145  20000000    GPU              OLS Regression          0.1960\n",
       "146  20000000    GPU         Logistic Regression          8.7000\n",
       "147  20000000    GPU                     K-Means          2.4800\n",
       "148  20000000    GPU    Random Forest Classifier         13.8000\n",
       "149  20000000    GPU           Gradient Boosting          3.5600\n",
       "\n",
       "[150 rows x 4 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(in_filename)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "297c7d3a-6dc1-46e2-b78e-7dfa301b8ac4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Load data', 'Write date', 'Describe dataframe',\n",
       "       'Set index on dataframe', 'Concat multiple dataframes',\n",
       "       'Groupby aggregation (mean)', 'Fit label encoder', 'Encode data',\n",
       "       'Scale data', 'split data', 'OLS Regression',\n",
       "       'Logistic Regression', 'K-Means', 'Random Forest Classifier',\n",
       "       'Gradient Boosting'], dtype=object)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Task'].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73e4e3e7-437c-4e0c-b812-51436e41c39e",
   "metadata": {},
   "source": [
    "# Calculate and plot total times\n",
    "Also saves the plot in the plots folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d866b860-b93c-4ec7-9dc6-ff86c2ad2215",
   "metadata": {},
   "outputs": [],
   "source": [
    "total_times = df.groupby(['NumRows', 'Device']).sum()['Time (seconds)'].reset_index()\n",
    "total_times['Time (seconds)'] = total_times['Time (seconds)'].round(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0f4d624e-37c8-4dc0-bfd7-bb3009965894",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.barplot(data=total_times, x='NumRows', y='Time (seconds)', hue='Device', palette=[\"C1\", \"C0\"])\n",
    "for container in fig.containers:\n",
    "    fig.bar_label(container)\n",
    "fig.set(yticklabels=[])\n",
    "fig.set_title(\"Total Time\")\n",
    "xlabels = [f'{x}M' for x in df['NumRows'].unique()/1000000]\n",
    "fig.set_xticklabels(xlabels)\n",
    "plt.savefig(\"./plots/total_time.png\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eca88389-5b1f-4a3c-bc17-147625f97e38",
   "metadata": {},
   "source": [
    "# Calculate and plot ETL times\n",
    "Also saves the plot in the plots folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "eff6a289-8c67-46ed-9361-9dcf656f5faa",
   "metadata": {},
   "outputs": [],
   "source": [
    "etl_tasks = [\n",
    "    'Load data',\n",
    "    'Write date', \n",
    "    'Describe dataframe',\n",
    "    'Set index on dataframe', \n",
    "    'Concat multiple dataframes',\n",
    "    'Groupby aggregation (mean)', \n",
    "    'Fit label encoder', \n",
    "    'Encode data',\n",
    "    'Scale data', \n",
    "    'split data',\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "25d05314-0152-465c-b363-bbc1b964d869",
   "metadata": {},
   "outputs": [],
   "source": [
    "etl_df = df.set_index('Task').loc[etl_tasks].reset_index()\n",
    "etl_times = etl_df.groupby(['NumRows', 'Device']).sum()['Time (seconds)'].reset_index()\n",
    "etl_times['Time (seconds)'] = etl_times['Time (seconds)'].round(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4c17ca7a-3952-4ca0-9b13-3a3d0848d753",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.barplot(data=etl_times, x='NumRows', y='Time (seconds)', hue='Device', palette=[\"C1\", \"C0\"])\n",
    "for container in fig.containers:\n",
    "    fig.bar_label(container)\n",
    "fig.set(yticklabels=[])\n",
    "fig.set_title(\"ETL Time\")\n",
    "xlabels = [f'{x}M' for x in df['NumRows'].unique()/1000000]\n",
    "fig.set_xticklabels(xlabels)\n",
    "plt.savefig(\"./plots/etl_time.png\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9259af85-ce76-4195-bd06-a9fe25259a40",
   "metadata": {},
   "source": [
    "# Calculate and plot ML times\n",
    "Also saves the plot in the plots folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9aefb2b7-e183-41fe-bce5-415e11532df5",
   "metadata": {},
   "outputs": [],
   "source": [
    "ml_tasks = [\n",
    "    'OLS Regression',\n",
    "    'Logistic Regression', \n",
    "    'K-Means', \n",
    "    'Random Forest Classifier',\n",
    "    'Gradient Boosting',\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "bbecf42c-debe-4fb5-94d7-dd580bac8b85",
   "metadata": {},
   "outputs": [],
   "source": [
    "ml_df = df.set_index('Task').loc[ml_tasks].reset_index()\n",
    "ml_times = ml_df.groupby(['NumRows', 'Device']).sum()['Time (seconds)'].reset_index()\n",
    "ml_times['Time (seconds)'] = ml_times['Time (seconds)'].round(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a12c23e5-3010-4cb4-932a-43fb02f8c883",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.barplot(data=ml_times, x='NumRows', y='Time (seconds)', hue='Device', palette=[\"C1\", \"C0\"])\n",
    "for container in fig.containers:\n",
    "    fig.bar_label(container)\n",
    "fig.set(yticklabels=[])\n",
    "fig.set_title(\"ML Time\")\n",
    "xlabels = [f'{x}M' for x in df['NumRows'].unique()/1000000]\n",
    "fig.set_xticklabels(xlabels)\n",
    "plt.savefig(\"./plots/ml_time.png\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71d9b447-e6b8-46ea-a4cf-4d89037138d0",
   "metadata": {},
   "source": [
    "# Plot individual task times\n",
    "Also saves the plots in the plots folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "55e9d567-ff00-45af-95c5-5f8a45409bd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "unq_tasks = df['Task'].unique()\n",
    "for a_task in unq_tasks:\n",
    "    cur_df = df[df['Task'] == a_task].copy()\n",
    "    cur_df['Time (seconds)'] = cur_df['Time (seconds)'].round(3)\n",
    "    fig = sns.barplot(data=cur_df, x='NumRows', y='Time (seconds)', hue='Device', palette=[\"C1\", \"C0\"])\n",
    "    fig.set_title(a_task)\n",
    "    for container in fig.containers:\n",
    "        fig.bar_label(container)\n",
    "    fig.set(yticklabels=[])\n",
    "    xlabels = [f'{x}M' for x in df['NumRows'].unique()/1000000]\n",
    "    fig.set_xticklabels(xlabels)\n",
    "    plt.savefig(f\"./plots/{a_task.replace(' ', '_')}.png\", bbox_inches='tight')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7c8111ea-37c4-4fd8-8c43-ca0c437fbd4c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ds",
   "language": "python",
   "name": "ds"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}