scripts/plots/plot_stats_32vms.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "from utils import parse_stats, get_stat_dfs, trim_column_names, REAL_POLICIES, REAL_LABELS, MODEL_LABELS, merge\n",
    "import matplotlib\n",
    "matplotlib.rcParams.update({'font.size': 12})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "real_path = Path(\"../../results/faro/resnet34/2_top9_twitter_1_1600_avgproc_min_int5m_reduced_6hr_augmented/latency_stats.pkl\")\n",
    "real_df = parse_stats(real_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize values for each policy\n",
    "\n",
    "df = real_df[real_df.num_cpus == \"70\"]\n",
    "policies = REAL_POLICIES\n",
    "labels = REAL_LABELS\n",
    "model_labels = MODEL_LABELS\n",
    "target_df = df[\n",
    "    # & (df.latency_estimator != \"max_latency\")\n",
    "    (df.latency_estimator != \"p80_latency\")\n",
    "    # & (df.pred_aggr != \"pred_max\") & (df.pred_aggr != \"pred_p80\")\n",
    "    & (df.pred_aggr != \"pred_p80\") & (df.pred_aggr != \"pred_avg\") #& (df.pred_aggr != \"pred_max\")\n",
    "    # & (df.pred_aggr != \"pred_p80\") & (df.pred_aggr != \"pred_avg\") & (df.pred_aggr != \"pred_none\")\n",
    "    & (df.model_config != \"model_4\") & (df.model_config != \"model_5\") & (df.model_config != \"model_6\") # & (df.model_config != \"model_8\")\n",
    "    & (df.model_config != \"model_10\")\n",
    "    & (df.ws != \"300s\") & (df.ws != \"480s\")\n",
    "    & (df.idle_timeout != \"5s\")\n",
    "    & (~df.policy.str.endswith(\"utility_latency\"))\n",
    "    & (~df.policy.str.contains(\"scale\"))\n",
    "    & (~df.policy.str.contains(\"w_current\"))\n",
    "    & (~df.policy.str.contains(\"sqrt\"))\n",
    "    & (~df.policy.str.contains(\"cbrt\"))\n",
    "    & (~df.policy.str.contains(\"weighted\"))\n",
    "].copy()\n",
    "\n",
    "ax = target_df.plot.scatter(x=\"avg_total_utility\", y=\"policy\")\n",
    "for i, point in target_df.iterrows():\n",
    "    ax.annotate(point[\"poisson\"], (point[\"avg_total_utility\"], point[\"policy\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cluster_utils\n",
      "FairShare 5\n",
      "Oneshot 5\n",
      "AIAD 5\n",
      "MArk/Cocktail/Barista 5\n",
      "Faro-FairSum 5\n",
      "cluster_effective_utils\n",
      "FairShare 5\n",
      "Oneshot 5\n",
      "AIAD 5\n",
      "MArk/Cocktail/Barista 5\n",
      "Faro-FairSum 5\n",
      "cluster_slo\n",
      "FairShare 5\n",
      "Oneshot 5\n",
      "AIAD 5\n",
      "MArk/Cocktail/Barista 5\n",
      "Faro-FairSum 5\n",
      "avg_utils\n",
      "FairShare 20\n",
      "Oneshot 20\n",
      "AIAD 20\n",
      "MArk/Cocktail/Barista 20\n",
      "Faro-FairSum 20\n",
      "slo_rates\n",
      "FairShare 20\n",
      "Oneshot 20\n",
      "AIAD 20\n",
      "MArk/Cocktail/Barista 20\n",
      "Faro-FairSum 20\n",
      "avg_effective_utils\n",
      "FairShare 20\n",
      "Oneshot 20\n",
      "AIAD 20\n",
      "MArk/Cocktail/Barista 20\n",
      "Faro-FairSum 20\n"
     ]
    }
   ],
   "source": [
    "num_cpus = 70\n",
    "\n",
    "real_df = real_df[real_df.policy.isin([\n",
    "    \"faro_fair_sum\", \n",
    "    # \"faro_penalty_fair_sum\",\n",
    "    # \"faro_penalty_sum\",\n",
    "    # \"faro_sum\", \n",
    "    \"mark\", \n",
    "    \"fairshare\", \n",
    "    # \"faro_fair\", \n",
    "    \"aiad\", \n",
    "    \"oneshot\",\n",
    "])]\n",
    "real_cluster_util_df, real_cluster_slo_df, real_cluster_effective_util_df, real_avg_util_df, real_slo_rates_df, real_avg_effective_util_df = get_stat_dfs(real_df[real_df.num_cpus == str(num_cpus)], REAL_POLICIES, REAL_LABELS, model_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dfs = [real_cluster_util_df, real_cluster_slo_df, real_cluster_effective_util_df, real_avg_util_df, real_slo_rates_df, real_avg_effective_util_df]\n",
    "for df in dfs:\n",
    "    trim_column_names(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_jobs = len(real_avg_util_df)\n",
    "num_jobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "lost_real_cluster_util_df = (num_jobs - real_cluster_util_df)#.transpose()\n",
    "lost_real_cluster_slo_df = (1 - real_cluster_slo_df)\n",
    "lost_real_cluster_effective_util_df = (num_jobs - real_cluster_effective_util_df)\n",
    "targets = [\"FairShare\", \"Oneshot\", \"AIAD\", \"MArk/Cocktail/Barista\", \"Faro-FairSum\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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>FairShare</th>\n",
       "      <th>Oneshot</th>\n",
       "      <th>AIAD</th>\n",
       "      <th>MArk/Cocktail/Barista</th>\n",
       "      <th>Faro-FairSum</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3.48</td>\n",
       "      <td>8.67</td>\n",
       "      <td>2.37</td>\n",
       "      <td>1.77</td>\n",
       "      <td>0.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.25</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.16</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   FairShare  Oneshot  AIAD  MArk/Cocktail/Barista  Faro-FairSum\n",
       "0       3.48     8.67  2.37                   1.77          0.63\n",
       "1       0.25     0.27  0.16                   0.21          0.10"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.concat([\n",
    "    lost_real_cluster_util_df.mean(axis=0)[targets].round(2),\n",
    "    lost_real_cluster_util_df.std(axis=0)[targets].round(2)\n",
    "], axis=1).transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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>FairShare</th>\n",
       "      <th>Oneshot</th>\n",
       "      <th>AIAD</th>\n",
       "      <th>MArk/Cocktail/Barista</th>\n",
       "      <th>Faro-FairSum</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.14</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   FairShare  Oneshot  AIAD  MArk/Cocktail/Barista  Faro-FairSum\n",
       "0       0.14     0.37  0.07                   0.08          0.02\n",
       "1       0.01     0.01  0.00                   0.01          0.00"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.concat([\n",
    "    lost_real_cluster_slo_df.mean(axis=0)[targets].round(2),\n",
    "    lost_real_cluster_slo_df.std(axis=0)[targets].round(2)\n",
    "], axis=1).transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figsize=(7.4, 4.8)\n",
    "# figsize=(8.4, 4.8)\n",
    "figsize=(7, 4)\n",
    "\n",
    "merged_df = pd.concat([\n",
    "    lost_real_cluster_util_df[targets].mean(axis=0),\n",
    "    lost_real_cluster_slo_df[targets].mean(axis=0),\n",
    "], axis=1).rename(columns={0: \"Avg lost cluster utility\", 1: \"Avg cluster SLO violation rate\"})\n",
    "merged_std_df = pd.concat([\n",
    "    lost_real_cluster_util_df[targets].std(axis=0),\n",
    "    lost_real_cluster_slo_df[targets].std(axis=0),\n",
    "], axis=1).rename(columns={0: \"Avg lost cluster utility\", 1: \"Avg cluster SLO violation rate\"})\n",
    "# ax = merged_df.plot.bar(secondary_y=\"Avg cluster SLO violation rate\", mark_right=False, figsize=figsize, width=0.6, yerr=merged_std_df, capsize=3)\n",
    "ax = merged_df.plot.bar(secondary_y=\"Avg cluster SLO violation rate\", mark_right=False, figsize=figsize, width=0.6)\n",
    "\n",
    "ax.set_ylim(top=10)\n",
    "# ax.set_xticklabels(ax.get_xticklabels(), rotation=0)\n",
    "ax.set_xlabel(\"\")\n",
    "ax.set_ylabel(\"Lost cluster utility\")\n",
    "\n",
    "new_labels = []\n",
    "for text in ax.get_xticklabels():\n",
    "    splits = text.get_text().split(\"-\")\n",
    "    text.set_text(splits[0])\n",
    "    new_labels.append(text)\n",
    "ax.set_xticklabels(new_labels, rotation=0)\n",
    "\n",
    "right_ax = ax.right_ax\n",
    "right_ax.set_ylim(top=0.45)\n",
    "right_ax.set_ylabel(\"Cluster SLO violation rate\")\n",
    "\n",
    "for bar in ax.containers:\n",
    "    if isinstance(bar, matplotlib.container.BarContainer):\n",
    "        ax.bar_label(bar, fmt=\"%.2f \")\n",
    "\n",
    "for bar in right_ax.containers:\n",
    "    if isinstance(bar, matplotlib.container.BarContainer):\n",
    "        right_ax.bar_label(bar, fmt=\" %.2f\")\n",
    "\n",
    "ax.set_xticklabels(ax.get_xticklabels(), rotation=10)\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_avg_lost_cluster_utility_slo_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# boxplot_figsize = (6, 4)\n",
    "boxplot_figsize = (4, 3)\n",
    "\n",
    "ax = (1 - real_avg_util_df).plot.box(rot=0, vert=False, grid=True, whis=(0, 100), figsize=boxplot_figsize)\n",
    "ax.invert_yaxis()\n",
    "ax.set_xlabel(\"Average lost utility\")\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_box_avg_lost_utility_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = real_avg_util_df.plot.box(rot=0, vert=False, grid=True, whis=(0, 100), figsize=boxplot_figsize)\n",
    "ax.invert_yaxis()\n",
    "ax.set_xlabel(\"Average Utility\")\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_box_avg_utility_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = real_slo_rates_df.plot.box(rot=0, vert=False, grid=True, whis=(0, 100), figsize=boxplot_figsize)\n",
    "ax.invert_yaxis()\n",
    "ax.set_xlabel(\"Average SLO violation rate\")\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_box_slo_violation_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = (1 - real_avg_util_df.mean())[targets].plot.barh()\n",
    "# ax = (1 - real_avg_util_df.mean()).plot.barh()\n",
    "ax.set_xlabel(\"Average lost utility\")\n",
    "\n",
    "new_labels = []\n",
    "for text in ax.get_yticklabels():\n",
    "    splits = text.get_text().split(\"-\")\n",
    "    text.set_text(splits[0])\n",
    "    new_labels.append(text)\n",
    "ax.set_yticklabels(new_labels)\n",
    "\n",
    "ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    ax.bar_label(bar, fmt=\" %.2f\")\n",
    "if num_cpus == 32:\n",
    "    ax.set_xlim(None, 0.5)\n",
    "# elif num_cpus == 36:\n",
    "    # ax.set_xlim(None, 0.4)\n",
    "elif num_cpus == 16:\n",
    "    ax.set_xlim(None, 1.0)\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_avg_lost_utility_real.eps\", bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = lost_real_cluster_util_df[targets].transpose().plot.barh(legend=False)\n",
    "# # ax = (1 - real_avg_util_df.mean()).plot.barh()\n",
    "ax.set_xlabel(\"Average lost cluster utility\")\n",
    "\n",
    "new_labels = []\n",
    "for text in ax.get_yticklabels():\n",
    "    splits = text.get_text().split(\"-\")\n",
    "    text.set_text(splits[0])\n",
    "    new_labels.append(text)\n",
    "ax.set_yticklabels(new_labels)\n",
    "\n",
    "ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    ax.bar_label(bar, fmt=\" %.2f\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ax = lost_real_cluster_util_df[targets].mean(axis=0).plot.barh(xerr=lost_real_cluster_util_df[targets].std(axis=0), legend=False, capsize=3)\n",
    "ax = lost_real_cluster_util_df[targets].mean(axis=0).plot.barh(legend=False)\n",
    "ax.set_xlabel(\"Average lost cluster utility\")\n",
    "\n",
    "new_labels = []\n",
    "for text in ax.get_yticklabels():\n",
    "    splits = text.get_text().split(\"-\")\n",
    "    text.set_text(splits[0])\n",
    "    new_labels.append(text)\n",
    "ax.set_yticklabels(new_labels)\n",
    "\n",
    "ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    if isinstance(bar, matplotlib.container.BarContainer):\n",
    "        ax.bar_label(bar, fmt=\" %.2f\")\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_avg_lost_cluster_utility_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "merged_df = merge((1-real_avg_util_df.mean()), (real_slo_rates_df).mean())\n",
    "merged_df.rename(columns={\"Cluster\": \"Average lost utility\", \"Simulation\": \"Average SLO violation rate\"}, inplace=True)\n",
    "ax = merged_df.loc[targets].plot.bar(figsize=figsize, width=0.6)\n",
    "# plt.ylabel(\"Average lost utility / SLO violation rate\")\n",
    "plt.xticks(rotation=0)\n",
    "\n",
    "new_labels = []\n",
    "for text in ax.get_xticklabels():\n",
    "    splits = text.get_text().split(\"-\")\n",
    "    text.set_text(splits[0])\n",
    "    new_labels.append(text)\n",
    "ax.set_xticklabels(new_labels)\n",
    "\n",
    "# ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    ax.bar_label(bar, fmt=\"%.2f\")\n",
    "if num_cpus in [32, 36]:\n",
    "    ax.set_ylim(None, 0.55)\n",
    "elif num_cpus == 16:\n",
    "    ax.set_ylim(None, 1.0)\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_avg_lost_utility_slo_real.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f6284896610>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 450x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "comparison_figsize=(4.5, 4)\n",
    "comparison_width = 0.9\n",
    "\n",
    "merged_df = merge((1-real_avg_util_df).mean(), (1-real_avg_effective_util_df).mean())\n",
    "merged_df.rename(columns={\"Cluster\": \"Utility\", \"Simulation\": \"Effective utility\"}, inplace=True)\n",
    "ax = merged_df.plot.barh(figsize=comparison_figsize, width=0.8)\n",
    "ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    ax.bar_label(bar, fmt=\" %.2f\")\n",
    "# ax.set_title(f\"Average utility (max replicas: {num_cpus})\")\n",
    "ax.set_xlabel(\"Average lost (effective) utility\")\n",
    "\n",
    "handles, labels = ax.get_legend_handles_labels()\n",
    "ax.legend(handles, labels, loc=4)\n",
    "\n",
    "# ax.get_figure().savefig(f\"images/{num_cpus}_comparison_avg_lost_util_and_effective_util.eps\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 450x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "merged_df = merge(lost_real_cluster_util_df.mean(axis=0), lost_real_cluster_effective_util_df.mean(axis=0))\n",
    "merged_df.rename(columns={\"Cluster\": \"Utility\", \"Simulation\": \"Effective Utility\"}, inplace=True)\n",
    "merged_std_df = merge(lost_real_cluster_util_df.std(axis=0), lost_real_cluster_effective_util_df.std(axis=0))\n",
    "merged_std_df.rename(columns={\"Cluster\": \"Utility\", \"Simulation\": \"Effective Utility\"}, inplace=True)\n",
    "ax = merged_df.plot.barh(figsize=comparison_figsize, width=comparison_width, xerr=merged_std_df, capsize=3)\n",
    "ax.invert_yaxis()\n",
    "for bar in ax.containers:\n",
    "    if isinstance(bar, matplotlib.container.BarContainer):\n",
    "        ax.bar_label(bar, fmt=\" %.2f\")\n",
    "# ax.set_title(f\"Average utility (max replicas: {num_cpus})\")\n",
    "ax.set_xlabel(\"Average lost cluster (effective) utility\")\n",
    "\n",
    "ax.get_figure().savefig(f\"images/32vms_{num_cpus}_comparison_cluster_lost_util_and_effective_util.eps\", bbox_inches='tight')"
   ]
  }
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