examples/08-plotly-interactive-plots.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotly Interactive Plots\n",
    "\n",
    "Some interactive plots to visualize the dataset with more details.\n",
    "\n",
    "In case you are using a binder to run the examples, you need to install the plotly jupyter lab extension:\n",
    "\n",
    "```bash\n",
    "pip install jupyterlab \"ipywidgets>=7.5\"\n",
    "jupyter labextension install jupyterlab-plotly@4.8.1\n",
    "jupyter labextension install @jupyter-widgets/jupyterlab-manager plotlywidget@4.8.1\n",
    "```\n",
    "or follow the [latest documentation](https://github.com/plotly/plotly.py#jupyterlab-support-python-35)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import math\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# plotly imports\n",
    "from plotly.subplots import make_subplots\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "from tqdm import tqdm\n",
    "tqdm.pandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "{'reqs_cold': 118,\n",
       " 'reqs_total': 90041,\n",
       " 'reqs_warm': 89923,\n",
       " 'prob_cold': 0.0013105140991326173,\n",
       " 'reqs_reject': 0,\n",
       " 'prob_reject': 0.0,\n",
       " 'lifespan_avg': 6652.110691321929,\n",
       " 'inst_count_avg': 7.67989628840567,\n",
       " 'inst_running_count_avg': 1.814875997770198,\n",
       " 'inst_idle_count_avg': 5.865020290635472,\n",
       " 'arrival_rate': 0.9,\n",
       " 'warm_service_rate': 0.49603174603174605,\n",
       " 'cold_service_rate': 0.46232085067036527,\n",
       " 'expiration_threshold': 600,\n",
       " 'max_time': 100000.0}"
      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "source": [
    "# Test API function before running larger simulations\n",
    "from sim_trace import generate_trace_api\n",
    "\n",
    "input_data = {\n",
    "    \"arrival_rate\": 0.9, \n",
    "    \"warm_service_rate\": 1/2.016, \n",
    "    \"cold_service_rate\": 1/2.163,\n",
    "    \"expiration_threshold\": 600, \n",
    "    \"max_time\": 1e5,\n",
    "}\n",
    "\n",
    "generate_trace_api(input_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from simfaas.ServerlessSimulator import ServerlessSimulator\n",
    "\n",
    "getArrayIdxArr = lambda x, idx: np.array(x)[idx]\n",
    "def sample_sim_history_idxs(sim, num_of_points=200):\n",
    "    hist_idx = 0\n",
    "    # go in 10 second steps\n",
    "    hist_step = sim.max_time / num_of_points\n",
    "    idxs = [0]\n",
    "    last_hist_time = 0\n",
    "    while hist_idx < (len(sim.hist_times) - 1):\n",
    "        hist_idx += 1\n",
    "        if sim.hist_times[hist_idx] - last_hist_time < hist_step:\n",
    "            continue\n",
    "\n",
    "        last_hist_time = sim.hist_times[hist_idx]\n",
    "        idxs.append(hist_idx)\n",
    "    return idxs\n",
    "\n",
    "\n",
    "# generate the trace\n",
    "sim = ServerlessSimulator(**input_data)\n",
    "sim.generate_trace(debug_print=False, progress=False)\n",
    "# analyze the trace for plot\n",
    "idxs = sample_sim_history_idxs(sim)\n",
    "sampled_hist_times = getArrayIdxArr(sim.hist_times, idxs)\n",
    "sampled_hist_inst_counts = getArrayIdxArr(sim.hist_server_count, idxs)\n",
    "# calculate sampled instance count average so far\n",
    "sampled_hist_inst_avgs = np.cumsum(sampled_hist_inst_counts) / np.array(list(range(len(sampled_hist_inst_counts))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "mode": "markers+lines",
         "name": "Current Value",
         "type": "scatter",
         "x": [
          0,
          8.345002329874482,
          16.6991193040574,
          25.0432462018196,
          33.424673146925606,
          41.76884824552009,
          50.10583596863236,
          58.447338307365136,
          66.78347013382522,
          75.11983329249692,
          83.46063869204498,
          91.80023200552608,
          100.13630566475474,
          108.50807905764222,
          116.86092573246096,
          125.20462366607498,
          133.5454393122714,
          141.8821334245471,
          150.23378570800645,
          158.57020822070092,
          166.91071166937076,
          175.24493596912336,
          183.60419146535827,
          191.94011468478894,
          200.28232749619872,
          208.61893060468975,
          216.95838070871017,
          225.29361621866798,
          233.62954244858605,
          241.9695795574097,
          250.34024336762405,
          258.6967964428259,
          267.0611364921477,
          275.39682669354227,
          283.7369245800454,
          292.0714120435671,
          300.41407715960173,
          308.7568692632976,
          317.0952815042382,
          325.4293865628534,
          333.76416643303963,
          342.1035555681364,
          350.46379283794533,
          358.8463398748523,
          367.1859977342497,
          375.52659275422167,
          383.9231214519532,
          392.25848159293605,
          400.59336833776547,
          408.92992489422613,
          417.2809183943252,
          425.63775881989926,
          433.97351674271965,
          442.3086518612042,
          450.6427870133859,
          458.9863905662936,
          467.3204209666422,
          475.65596561840454,
          484.0367926149639,
          492.37450620381753,
          500.7337174367758,
          509.06883281550466,
          517.406442792736,
          525.7415657318633,
          534.0760223840169,
          542.4156293248569,
          550.749087361443,
          559.1019177434422,
          567.4374370749078,
          575.7810059022364,
          584.1143780413764,
          592.4591789283352,
          600.7927452440874,
          609.127375909665,
          617.4773223190666,
          625.8247287113322,
          634.1863147615343,
          642.5336309151543,
          650.8821668213479,
          659.2212950556128,
          667.5669675754002,
          675.9042903748149,
          684.2538446406674,
          692.6046865130476,
          700.9459433751583,
          709.28510219042,
          717.6448172033768,
          725.9907388368922,
          734.3262249048312,
          742.6781327204728,
          751.023865975066,
          759.3629553864996,
          767.7000045495868,
          776.0356169190022,
          784.3754675516727,
          792.7156597194236,
          801.0492170107282,
          809.4387037730455,
          817.7728373272613,
          826.1188199822585,
          834.4927414475594,
          842.8361537797856,
          851.1713874590516,
          859.511634775761,
          867.8493146019936,
          876.2044390701698,
          884.538868652322,
          892.8727912977689,
          901.2089395044287,
          909.5443795634787,
          917.8786597059069,
          926.2413197495,
          934.5965676125348,
          942.9357923634153,
          951.2871408212086,
          959.625241969857,
          967.9605535821842,
          976.2999813162254,
          984.6618127119442,
          993.0036521139155,
          1001.3434653273665,
          1009.6846118043863,
          1018.0453872510013,
          1026.3805755895762,
          1034.716246455248,
          1043.0649766722383,
          1051.4535789240056,
          1059.8073766615364,
          1068.1491708325404,
          1076.4830574411117,
          1084.817772059074,
          1093.1730726198737,
          1101.5073857034877,
          1109.8520039376695,
          1118.2310312829663,
          1126.5783432035628,
          1134.9143194385238,
          1143.2491336948067,
          1151.59042452665,
          1159.939786205752,
          1168.2766708736729,
          1176.6123449461652,
          1184.947363357873,
          1193.2843147155786,
          1201.6417426816074,
          1209.9779841070774,
          1218.3186745773667,
          1226.657131599702,
          1234.9916037890932,
          1243.3359255664573,
          1251.670483440747,
          1260.0073324989535,
          1268.3468530003997,
          1276.7060874805036,
          1285.0585193771228,
          1293.392488950712,
          1301.727307672751,
          1310.0621231041214,
          1318.4019210257538,
          1326.750462060719,
          1335.0871990201024,
          1343.423198287807,
          1351.7641715153482,
          1360.1340874398863,
          1368.4798424158405,
          1376.8163768663221,
          1385.1590081976312,
          1393.4944279796994,
          1401.8623023068421,
          1410.1971339639406,
          1418.5422125086213,
          1426.8791177809076,
          1435.2230016758292,
          1443.5665538456296,
          1451.9009634055515,
          1460.2462873792292,
          1468.5934722890704,
          1476.9285266592515,
          1485.2697646730717,
          1493.6222237062514,
          1501.9656774626694,
          1510.300190540846,
          1518.6367391296346,
          1526.9709193946385,
          1535.3093005312971,
          1543.6455168602433,
          1551.982642254509,
          1560.3194710480789,
          1568.6617493833976,
          1577.0204938150878,
          1585.3691192411252,
          1593.711862888996,
          1602.069131543359,
          1610.402500098155,
          1618.7424055518463,
          1627.0890259211383,
          1635.4261058332781,
          1643.7852697820233,
          1652.1255239689597,
          1660.4600733417853
         ],
         "y": [
          0,
          8,
          9,
          8,
          8,
          7,
          7,
          7,
          7,
          8,
          8,
          8,
          7,
          8,
          7,
          9,
          7,
          8,
          8,
          7,
          9,
          9,
          8,
          8,
          6,
          8,
          8,
          8,
          9,
          7,
          6,
          8,
          7,
          7,
          8,
          8,
          8,
          7,
          8,
          9,
          9,
          8,
          7,
          7,
          7,
          8,
          8,
          7,
          9,
          7,
          8,
          7,
          8,
          7,
          9,
          9,
          6,
          8,
          6,
          7,
          7,
          7,
          8,
          7,
          7,
          7,
          8,
          8,
          8,
          8,
          8,
          7,
          9,
          8,
          9,
          7,
          7,
          6,
          7,
          8,
          8,
          8,
          7,
          8,
          9,
          9,
          7,
          8,
          8,
          8,
          8,
          8,
          8,
          7,
          8,
          8,
          7,
          7,
          7,
          8,
          6,
          11,
          8,
          8,
          11,
          6,
          8,
          7,
          7,
          8,
          7,
          8,
          7,
          7,
          8,
          6,
          9,
          8,
          7,
          8,
          8,
          8,
          7,
          8,
          8,
          7,
          8,
          8,
          6,
          9,
          9,
          7,
          6,
          7,
          8,
          7,
          7,
          7,
          7,
          6,
          6,
          8,
          8,
          7,
          10,
          10,
          8,
          8,
          7,
          8,
          7,
          9,
          7,
          7,
          8,
          6,
          7,
          9,
          8,
          8,
          7,
          8,
          9,
          8,
          7,
          7,
          7,
          7,
          8,
          7,
          8,
          8,
          7,
          6,
          7,
          8,
          9,
          9,
          8,
          8,
          8,
          8,
          7,
          7,
          7,
          7,
          8,
          8,
          8,
          8,
          7,
          7,
          8,
          7,
          6,
          8,
          7,
          7,
          7,
          8
         ]
        },
        {
         "mode": "markers+lines",
         "name": "Average Estimate",
         "type": "scatter",
         "x": [
          0,
          8.345002329874482,
          16.6991193040574,
          25.0432462018196,
          33.424673146925606,
          41.76884824552009,
          50.10583596863236,
          58.447338307365136,
          66.78347013382522,
          75.11983329249692,
          83.46063869204498,
          91.80023200552608,
          100.13630566475474,
          108.50807905764222,
          116.86092573246096,
          125.20462366607498,
          133.5454393122714,
          141.8821334245471,
          150.23378570800645,
          158.57020822070092,
          166.91071166937076,
          175.24493596912336,
          183.60419146535827,
          191.94011468478894,
          200.28232749619872,
          208.61893060468975,
          216.95838070871017,
          225.29361621866798,
          233.62954244858605,
          241.9695795574097,
          250.34024336762405,
          258.6967964428259,
          267.0611364921477,
          275.39682669354227,
          283.7369245800454,
          292.0714120435671,
          300.41407715960173,
          308.7568692632976,
          317.0952815042382,
          325.4293865628534,
          333.76416643303963,
          342.1035555681364,
          350.46379283794533,
          358.8463398748523,
          367.1859977342497,
          375.52659275422167,
          383.9231214519532,
          392.25848159293605,
          400.59336833776547,
          408.92992489422613,
          417.2809183943252,
          425.63775881989926,
          433.97351674271965,
          442.3086518612042,
          450.6427870133859,
          458.9863905662936,
          467.3204209666422,
          475.65596561840454,
          484.0367926149639,
          492.37450620381753,
          500.7337174367758,
          509.06883281550466,
          517.406442792736,
          525.7415657318633,
          534.0760223840169,
          542.4156293248569,
          550.749087361443,
          559.1019177434422,
          567.4374370749078,
          575.7810059022364,
          584.1143780413764,
          592.4591789283352,
          600.7927452440874,
          609.127375909665,
          617.4773223190666,
          625.8247287113322,
          634.1863147615343,
          642.5336309151543,
          650.8821668213479,
          659.2212950556128,
          667.5669675754002,
          675.9042903748149,
          684.2538446406674,
          692.6046865130476,
          700.9459433751583,
          709.28510219042,
          717.6448172033768,
          725.9907388368922,
          734.3262249048312,
          742.6781327204728,
          751.023865975066,
          759.3629553864996,
          767.7000045495868,
          776.0356169190022,
          784.3754675516727,
          792.7156597194236,
          801.0492170107282,
          809.4387037730455,
          817.7728373272613,
          826.1188199822585,
          834.4927414475594,
          842.8361537797856,
          851.1713874590516,
          859.511634775761,
          867.8493146019936,
          876.2044390701698,
          884.538868652322,
          892.8727912977689,
          901.2089395044287,
          909.5443795634787,
          917.8786597059069,
          926.2413197495,
          934.5965676125348,
          942.9357923634153,
          951.2871408212086,
          959.625241969857,
          967.9605535821842,
          976.2999813162254,
          984.6618127119442,
          993.0036521139155,
          1001.3434653273665,
          1009.6846118043863,
          1018.0453872510013,
          1026.3805755895762,
          1034.716246455248,
          1043.0649766722383,
          1051.4535789240056,
          1059.8073766615364,
          1068.1491708325404,
          1076.4830574411117,
          1084.817772059074,
          1093.1730726198737,
          1101.5073857034877,
          1109.8520039376695,
          1118.2310312829663,
          1126.5783432035628,
          1134.9143194385238,
          1143.2491336948067,
          1151.59042452665,
          1159.939786205752,
          1168.2766708736729,
          1176.6123449461652,
          1184.947363357873,
          1193.2843147155786,
          1201.6417426816074,
          1209.9779841070774,
          1218.3186745773667,
          1226.657131599702,
          1234.9916037890932,
          1243.3359255664573,
          1251.670483440747,
          1260.0073324989535,
          1268.3468530003997,
          1276.7060874805036,
          1285.0585193771228,
          1293.392488950712,
          1301.727307672751,
          1310.0621231041214,
          1318.4019210257538,
          1326.750462060719,
          1335.0871990201024,
          1343.423198287807,
          1351.7641715153482,
          1360.1340874398863,
          1368.4798424158405,
          1376.8163768663221,
          1385.1590081976312,
          1393.4944279796994,
          1401.8623023068421,
          1410.1971339639406,
          1418.5422125086213,
          1426.8791177809076,
          1435.2230016758292,
          1443.5665538456296,
          1451.9009634055515,
          1460.2462873792292,
          1468.5934722890704,
          1476.9285266592515,
          1485.2697646730717,
          1493.6222237062514,
          1501.9656774626694,
          1510.300190540846,
          1518.6367391296346,
          1526.9709193946385,
          1535.3093005312971,
          1543.6455168602433,
          1551.982642254509,
          1560.3194710480789,
          1568.6617493833976,
          1577.0204938150878,
          1585.3691192411252,
          1593.711862888996,
          1602.069131543359,
          1610.402500098155,
          1618.7424055518463,
          1627.0890259211383,
          1635.4261058332781,
          1643.7852697820233,
          1652.1255239689597,
          1660.4600733417853
         ],
         "y": [
          null,
          8,
          8.5,
          8.333333333333334,
          8.25,
          8,
          7.833333333333333,
          7.714285714285714,
          7.625,
          7.666666666666667,
          7.7,
          7.7272727272727275,
          7.666666666666667,
          7.6923076923076925,
          7.642857142857143,
          7.733333333333333,
          7.6875,
          7.705882352941177,
          7.722222222222222,
          7.684210526315789,
          7.75,
          7.809523809523809,
          7.818181818181818,
          7.826086956521739,
          7.75,
          7.76,
          7.769230769230769,
          7.777777777777778,
          7.821428571428571,
          7.793103448275862,
          7.733333333333333,
          7.741935483870968,
          7.71875,
          7.696969696969697,
          7.705882352941177,
          7.714285714285714,
          7.722222222222222,
          7.702702702702703,
          7.7105263157894735,
          7.743589743589744,
          7.775,
          7.780487804878049,
          7.761904761904762,
          7.744186046511628,
          7.7272727272727275,
          7.733333333333333,
          7.739130434782608,
          7.723404255319149,
          7.75,
          7.73469387755102,
          7.74,
          7.7254901960784315,
          7.730769230769231,
          7.716981132075472,
          7.7407407407407405,
          7.763636363636364,
          7.732142857142857,
          7.7368421052631575,
          7.706896551724138,
          7.694915254237288,
          7.683333333333334,
          7.672131147540983,
          7.67741935483871,
          7.666666666666667,
          7.65625,
          7.6461538461538465,
          7.651515151515151,
          7.656716417910448,
          7.661764705882353,
          7.666666666666667,
          7.671428571428572,
          7.661971830985915,
          7.680555555555555,
          7.684931506849315,
          7.702702702702703,
          7.693333333333333,
          7.684210526315789,
          7.662337662337662,
          7.653846153846154,
          7.658227848101266,
          7.6625,
          7.666666666666667,
          7.658536585365853,
          7.662650602409639,
          7.678571428571429,
          7.694117647058824,
          7.686046511627907,
          7.689655172413793,
          7.693181818181818,
          7.696629213483146,
          7.7,
          7.7032967032967035,
          7.706521739130435,
          7.698924731182796,
          7.702127659574468,
          7.705263157894737,
          7.697916666666667,
          7.690721649484536,
          7.683673469387755,
          7.686868686868687,
          7.67,
          7.702970297029703,
          7.705882352941177,
          7.70873786407767,
          7.740384615384615,
          7.723809523809524,
          7.726415094339623,
          7.719626168224299,
          7.712962962962963,
          7.715596330275229,
          7.709090909090909,
          7.711711711711712,
          7.705357142857143,
          7.699115044247788,
          7.701754385964913,
          7.6869565217391305,
          7.698275862068965,
          7.700854700854701,
          7.694915254237288,
          7.697478991596639,
          7.7,
          7.702479338842975,
          7.69672131147541,
          7.699186991869919,
          7.701612903225806,
          7.696,
          7.698412698412699,
          7.700787401574803,
          7.6875,
          7.6976744186046515,
          7.707692307692308,
          7.702290076335878,
          7.6893939393939394,
          7.684210526315789,
          7.686567164179104,
          7.681481481481481,
          7.676470588235294,
          7.671532846715328,
          7.666666666666667,
          7.654676258992806,
          7.642857142857143,
          7.6453900709219855,
          7.647887323943662,
          7.643356643356643,
          7.659722222222222,
          7.675862068965517,
          7.678082191780822,
          7.680272108843537,
          7.675675675675675,
          7.677852348993288,
          7.673333333333333,
          7.682119205298013,
          7.677631578947368,
          7.673202614379085,
          7.675324675324675,
          7.664516129032258,
          7.660256410256411,
          7.6687898089171975,
          7.670886075949367,
          7.672955974842767,
          7.66875,
          7.670807453416149,
          7.679012345679013,
          7.680981595092025,
          7.676829268292683,
          7.672727272727273,
          7.668674698795181,
          7.664670658682635,
          7.666666666666667,
          7.662721893491124,
          7.6647058823529415,
          7.666666666666667,
          7.662790697674419,
          7.6531791907514455,
          7.649425287356322,
          7.651428571428571,
          7.659090909090909,
          7.666666666666667,
          7.668539325842697,
          7.670391061452514,
          7.6722222222222225,
          7.6740331491712706,
          7.670329670329671,
          7.666666666666667,
          7.663043478260869,
          7.65945945945946,
          7.661290322580645,
          7.663101604278075,
          7.664893617021277,
          7.666666666666667,
          7.663157894736842,
          7.659685863874346,
          7.661458333333333,
          7.658031088082901,
          7.649484536082475,
          7.651282051282052,
          7.6479591836734695,
          7.644670050761421,
          7.641414141414141,
          7.64321608040201
         ]
        }
       ],
       "layout": {
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "title": {
         "text": "Instance Counts Over Time"
        },
        "xaxis": {
         "title": {
          "text": "Time (minutes)"
         }
        },
        "yaxis": {
         "title": {
          "text": "Instance Count"
         }
        }
       }
      }
     },
     "metadata": {}
    }
   ],
   "source": [
    "fig = go.Figure()\n",
    "fig.add_trace(\n",
    "    go.Scatter(\n",
    "        x = [i/60 for i in sampled_hist_times],\n",
    "        y = sampled_hist_inst_counts,\n",
    "        mode = 'markers+lines',\n",
    "        name = \"Current Value\",\n",
    "    ),\n",
    ")\n",
    "fig.add_trace(\n",
    "    go.Scatter(\n",
    "        x = [i/60 for i in sampled_hist_times],\n",
    "        y = sampled_hist_inst_avgs,\n",
    "        mode = 'markers+lines',\n",
    "        name = \"Average Estimate\",\n",
    "    ),\n",
    ")\n",
    "fig.update_layout(title=\"Instance Counts Over Time\", xaxis=dict(title=\"Time (minutes)\"), yaxis=dict(title=\"Instance Count\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "100%|██████████| 10/10 [00:46<00:00,  4.66s/it]\n"
     ]
    }
   ],
   "source": [
    "inst_count_avg_estimates = []\n",
    "for _ in tqdm(range(10)):\n",
    "    # generate the trace\n",
    "    sim = ServerlessSimulator(**input_data)\n",
    "    sim.generate_trace(debug_print=False, progress=False)\n",
    "    # analyze the trace for plot\n",
    "    idxs = sample_sim_history_idxs(sim, num_of_points=20)\n",
    "    sampled_hist_times = getArrayIdxArr(sim.hist_times, idxs)\n",
    "    sampled_hist_inst_counts = getArrayIdxArr(sim.hist_server_count, idxs)\n",
    "    # calculate sampled instance count average so far\n",
    "    sampled_hist_inst_avgs = np.cumsum(sampled_hist_inst_counts) / np.array(list(range(len(sampled_hist_inst_counts))))\n",
    "    inst_count_avg_estimates.append({\n",
    "        'x': [i/60 for i in sampled_hist_times],\n",
    "        'y': list(sampled_hist_inst_avgs)\n",
    "    })"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.33425341354378,
          166.67175033424436,
          250.00764118387258,
          333.3489812590468,
          416.6873110672148,
          500.0261194248578,
          583.3666826901576,
          666.7069690907437,
          750.0427163998504,
          833.3781400903815,
          916.7613939547492,
          1000.1020731143551,
          1083.4360317000028,
          1166.782594656569,
          1250.1205365252545,
          1333.4695176294822,
          1416.8143879464,
          1500.1483400101656,
          1583.5138664519532
         ],
         "y": [
          null,
          7,
          7.5,
          7.333333333333333,
          7.75,
          8,
          8,
          8.142857142857142,
          8,
          8,
          8.1,
          8.090909090909092,
          8.083333333333334,
          8.076923076923077,
          7.928571428571429,
          7.866666666666666,
          7.875,
          7.9411764705882355,
          7.833333333333333,
          7.842105263157895
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.3468322532871,
          166.68366518889277,
          250.0202517522594,
          333.355704055084,
          416.70347791033436,
          500.04672297152257,
          583.3844422673883,
          666.7190500736706,
          750.0556888618199,
          833.4098014568837,
          916.7467675949197,
          1000.1068612413482,
          1083.4489828482604,
          1166.7830283753076,
          1250.1221041199076,
          1333.4595191184128,
          1416.7942237458603,
          1500.1303048010243,
          1583.4732432009682
         ],
         "y": [
          null,
          7,
          7,
          6.666666666666667,
          7,
          7.2,
          7.166666666666667,
          7.428571428571429,
          7.625,
          7.666666666666667,
          7.6,
          7.7272727272727275,
          7.666666666666667,
          7.6923076923076925,
          7.642857142857143,
          7.733333333333333,
          7.75,
          7.764705882352941,
          7.666666666666667,
          7.7368421052631575
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.34089506060891,
          166.68161682291648,
          250.02323663142354,
          333.36050354882144,
          416.70709713840654,
          500.05682650178755,
          583.3990973297758,
          666.733601218585,
          750.083189594287,
          833.4168062973566,
          916.763347077255,
          1000.1004439848471,
          1083.4472508868944,
          1166.7819990597372,
          1250.1191189898038,
          1333.4710214812615,
          1416.8074488332238,
          1500.1489826127033,
          1583.4998001942586
         ],
         "y": [
          null,
          9,
          8,
          7.333333333333333,
          7.5,
          7.6,
          7.666666666666667,
          7.571428571428571,
          7.5,
          7.444444444444445,
          7.4,
          7.363636363636363,
          7.416666666666667,
          7.461538461538462,
          7.571428571428571,
          7.6,
          7.625,
          7.529411764705882,
          7.5,
          7.421052631578948
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.34234080622346,
          166.69824024408857,
          250.0527338548093,
          333.4020464986734,
          416.7509710900132,
          500.08685919969804,
          583.4336106158399,
          666.7706027862715,
          750.1222175465707,
          833.4749487385269,
          916.8293333754528,
          1000.1818934525513,
          1083.5224862571135,
          1166.8582347739366,
          1250.192325304951,
          1333.5313938854988,
          1416.87172817508,
          1500.2071177522607,
          1583.542902869864
         ],
         "y": [
          null,
          8,
          8,
          8,
          8.25,
          8,
          8,
          8,
          7.75,
          7.555555555555555,
          7.6,
          7.636363636363637,
          7.583333333333333,
          7.615384615384615,
          7.571428571428571,
          7.6,
          7.625,
          7.588235294117647,
          7.611111111111111,
          7.7368421052631575
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.33571947275318,
          166.66951279020853,
          250.0089923654399,
          333.3617745312016,
          416.6975219463396,
          500.0519224777492,
          583.3981572428451,
          666.7354614942097,
          750.0693956640238,
          833.4028028319376,
          916.745161047845,
          1000.1291601671993,
          1083.470735767247,
          1166.8040780145611,
          1250.1499958692323,
          1333.5075249496624,
          1416.840942241462,
          1500.1878147290565,
          1583.5244065571371
         ],
         "y": [
          null,
          7,
          7,
          7.333333333333333,
          7.25,
          7.4,
          7.333333333333333,
          7.428571428571429,
          7.5,
          7.444444444444445,
          7.5,
          7.454545454545454,
          7.583333333333333,
          7.461538461538462,
          7.428571428571429,
          7.466666666666667,
          7.4375,
          7.529411764705882,
          7.5,
          7.526315789473684
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.35629950369203,
          166.69498050711834,
          250.03978943574182,
          333.3738846002936,
          416.7207897298244,
          500.0597213257614,
          583.396622252179,
          666.7456743715543,
          750.0790921638511,
          833.4369480806693,
          916.7710215650156,
          1000.1169516091056,
          1083.450370289483,
          1166.7888935200779,
          1250.135703398251,
          1333.4705724645864,
          1416.8102275438757,
          1500.163560820243,
          1583.5041535121993
         ],
         "y": [
          null,
          8,
          9.5,
          8.666666666666666,
          8,
          8.4,
          8,
          8,
          7.875,
          7.888888888888889,
          7.9,
          7.909090909090909,
          7.833333333333333,
          7.769230769230769,
          7.714285714285714,
          7.733333333333333,
          7.6875,
          7.647058823529412,
          7.666666666666667,
          7.631578947368421
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.33829023396967,
          166.69319106809806,
          250.03050289242626,
          333.3953030163933,
          416.73453986654454,
          500.0741152925804,
          583.4200726302239,
          666.7553116544201,
          750.094665494929,
          833.4294298136444,
          916.7696663187985,
          1000.1119516890037,
          1083.4458412023373,
          1166.7833379321637,
          1250.1178057909237,
          1333.4683510990644,
          1416.804301288104,
          1500.1526437172977,
          1583.4874907447297
         ],
         "y": [
          null,
          7,
          7,
          7.333333333333333,
          7.25,
          7.2,
          7.333333333333333,
          7.285714285714286,
          7.375,
          7.444444444444445,
          7.5,
          7.454545454545454,
          7.5,
          7.538461538461538,
          7.5,
          7.533333333333333,
          7.5,
          7.529411764705882,
          7.5,
          7.526315789473684
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.34314408488905,
          166.6913796789766,
          250.0349195304927,
          333.38294819825853,
          416.71692885077806,
          500.0638705493289,
          583.4355669776743,
          666.7858052203579,
          750.1217072982374,
          833.4571458394662,
          916.7994543168984,
          1000.1440918002336,
          1083.4867622652876,
          1166.8212208435655,
          1250.168338597186,
          1333.5112720889233,
          1416.8480733986069,
          1500.1900217843915,
          1583.534542243459
         ],
         "y": [
          null,
          6,
          6,
          6,
          6.5,
          6.6,
          6.666666666666667,
          7.142857142857143,
          7.125,
          7.222222222222222,
          7.3,
          7.2727272727272725,
          7.333333333333333,
          7.3076923076923075,
          7.428571428571429,
          7.6,
          7.625,
          7.764705882352941,
          7.777777777777778,
          7.7368421052631575
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.34762156624025,
          166.69466358636447,
          250.0555975673995,
          333.4020714527532,
          416.73758328857707,
          500.07614760150625,
          583.4205121440187,
          666.7949970071451,
          750.1319414281676,
          833.4738214630993,
          916.8082308670952,
          1000.1478999773418,
          1083.4897063634046,
          1166.8244002633166,
          1250.1605814115921,
          1333.501037938105,
          1416.860444669038,
          1500.1938305118663,
          1583.527450109939
         ],
         "y": [
          null,
          7,
          8,
          7.666666666666667,
          7.5,
          7.6,
          7.666666666666667,
          7.714285714285714,
          7.75,
          7.777777777777778,
          7.7,
          7.7272727272727275,
          7.666666666666667,
          7.6923076923076925,
          7.571428571428571,
          7.533333333333333,
          7.5625,
          7.529411764705882,
          7.5,
          7.473684210526316
         ]
        },
        {
         "mode": "markers+lines",
         "type": "scatter",
         "x": [
          0,
          83.33838740969831,
          166.6719090675071,
          250.01014613541093,
          333.3536962322395,
          416.6987478365437,
          500.0429882642224,
          583.3860080473086,
          666.7200494514044,
          750.0662106768766,
          833.4102607236025,
          916.7451966500531,
          1000.0806598715518,
          1083.4201209751377,
          1166.7569170181266,
          1250.0912210284982,
          1333.4247761804788,
          1416.771706295512,
          1500.1127035392512,
          1583.446164483797
         ],
         "y": [
          null,
          9,
          8.5,
          9,
          8.75,
          8.4,
          8.166666666666666,
          8.285714285714286,
          8.125,
          8,
          7.9,
          8,
          8.083333333333334,
          7.923076923076923,
          8,
          8,
          8,
          8,
          7.944444444444445,
          7.947368421052632
         ]
        }
       ],
       "layout": {
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "title": {
         "text": "Instance Counts Over Time"
        },
        "xaxis": {
         "title": {
          "text": "Time (minutes)"
         }
        },
        "yaxis": {
         "range": [
          4,
          11
         ],
         "title": {
          "text": "Instance Count Average Estimate"
         }
        }
       }
      }
     },
     "metadata": {}
    }
   ],
   "source": [
    "fig = go.Figure()\n",
    "for inst_count_avg_estimate in inst_count_avg_estimates:\n",
    "    fig.add_trace(\n",
    "        go.Scatter(\n",
    "            x = inst_count_avg_estimate['x'],\n",
    "            y = inst_count_avg_estimate['y'],\n",
    "            mode = 'markers+lines',\n",
    "            # name = \"Average Estimate\",\n",
    "        ),\n",
    "    )\n",
    "fig.update_layout(title=\"Instance Counts Over Time\", xaxis=dict(title=\"Time (minutes)\"), yaxis=dict(title=\"Instance Count Average Estimate\"))\n",
    "\n",
    "fig.update_yaxes(range=[\n",
    "    math.floor(min([min(i['y'][1:]) for i in inst_count_avg_estimates]) * 0.8), \n",
    "    math.ceil(max([max(i['y'][1:]) for i in inst_count_avg_estimates]) * 1.1)\n",
    "    ])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make The Interactive Overall Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "100%|██████████| 50/50 [10:20<00:00, 12.40s/it]\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "    reqs_cold  reqs_total  reqs_warm  prob_cold  reqs_reject  prob_reject  \\\n",
       "45      23752      997238     973486   0.023818            0          0.0   \n",
       "46       3667     1000352     996685   0.003666            0          0.0   \n",
       "47        338      999651     999313   0.000338            0          0.0   \n",
       "48        149     1000576    1000427   0.000149            0          0.0   \n",
       "49        137     1000943    1000806   0.000137            0          0.0   \n",
       "\n",
       "    lifespan_avg  inst_count_avg  inst_running_count_avg  inst_idle_count_avg  \\\n",
       "45    120.734719       28.654768               20.135436             8.519332   \n",
       "46    906.854509       33.123974               20.191473            12.932501   \n",
       "47  11735.433485       37.660413               20.112313            17.548100   \n",
       "48  28401.077890       38.521834               20.132414            18.389420   \n",
       "49  29962.003994       39.557215               20.169117            19.388098   \n",
       "\n",
       "    arrival_rate  warm_service_rate  cold_service_rate  expiration_threshold  \\\n",
       "45          10.0           0.496032           0.462321                    10   \n",
       "46          10.0           0.496032           0.462321                    60   \n",
       "47          10.0           0.496032           0.462321                   600   \n",
       "48          10.0           0.496032           0.462321                  1200   \n",
       "49          10.0           0.496032           0.462321                  1800   \n",
       "\n",
       "    max_time expiration_threshold_labels  \n",
       "45  100000.0                      10 sec  \n",
       "46  100000.0                       1 min  \n",
       "47  100000.0                      10 min  \n",
       "48  100000.0                      20 min  \n",
       "49  100000.0                      30 min  "
      ],
      "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>reqs_cold</th>\n      <th>reqs_total</th>\n      <th>reqs_warm</th>\n      <th>prob_cold</th>\n      <th>reqs_reject</th>\n      <th>prob_reject</th>\n      <th>lifespan_avg</th>\n      <th>inst_count_avg</th>\n      <th>inst_running_count_avg</th>\n      <th>inst_idle_count_avg</th>\n      <th>arrival_rate</th>\n      <th>warm_service_rate</th>\n      <th>cold_service_rate</th>\n      <th>expiration_threshold</th>\n      <th>max_time</th>\n      <th>expiration_threshold_labels</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>45</th>\n      <td>23752</td>\n      <td>997238</td>\n      <td>973486</td>\n      <td>0.023818</td>\n      <td>0</td>\n      <td>0.0</td>\n      <td>120.734719</td>\n      <td>28.654768</td>\n      <td>20.135436</td>\n      <td>8.519332</td>\n      <td>10.0</td>\n      <td>0.496032</td>\n      <td>0.462321</td>\n      <td>10</td>\n      <td>100000.0</td>\n      <td>10 sec</td>\n    </tr>\n    <tr>\n      <th>46</th>\n      <td>3667</td>\n      <td>1000352</td>\n      <td>996685</td>\n      <td>0.003666</td>\n      <td>0</td>\n      <td>0.0</td>\n      <td>906.854509</td>\n      <td>33.123974</td>\n      <td>20.191473</td>\n      <td>12.932501</td>\n      <td>10.0</td>\n      <td>0.496032</td>\n      <td>0.462321</td>\n      <td>60</td>\n      <td>100000.0</td>\n      <td>1 min</td>\n    </tr>\n    <tr>\n      <th>47</th>\n      <td>338</td>\n      <td>999651</td>\n      <td>999313</td>\n      <td>0.000338</td>\n      <td>0</td>\n      <td>0.0</td>\n      <td>11735.433485</td>\n      <td>37.660413</td>\n      <td>20.112313</td>\n      <td>17.548100</td>\n      <td>10.0</td>\n      <td>0.496032</td>\n      <td>0.462321</td>\n      <td>600</td>\n      <td>100000.0</td>\n      <td>10 min</td>\n    </tr>\n    <tr>\n      <th>48</th>\n      <td>149</td>\n      <td>1000576</td>\n      <td>1000427</td>\n      <td>0.000149</td>\n      <td>0</td>\n      <td>0.0</td>\n      <td>28401.077890</td>\n      <td>38.521834</td>\n      <td>20.132414</td>\n      <td>18.389420</td>\n      <td>10.0</td>\n      <td>0.496032</td>\n      <td>0.462321</td>\n      <td>1200</td>\n      <td>100000.0</td>\n      <td>20 min</td>\n    </tr>\n    <tr>\n      <th>49</th>\n      <td>137</td>\n      <td>1000943</td>\n      <td>1000806</td>\n      <td>0.000137</td>\n      <td>0</td>\n      <td>0.0</td>\n      <td>29962.003994</td>\n      <td>39.557215</td>\n      <td>20.169117</td>\n      <td>19.388098</td>\n      <td>10.0</td>\n      <td>0.496032</td>\n      <td>0.462321</td>\n      <td>1800</td>\n      <td>100000.0</td>\n      <td>30 min</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "source": [
    "# Plot characteristics for different arrival rates and expiration thresholds\n",
    "num_arrival_rates = 10\n",
    "exp_thresholds = [10, 60, 600, 1200, 1800]\n",
    "exp_threshold_labels = [\"10 sec\", \"1 min\", \"10 min\", \"20 min\", \"30 min\"]\n",
    "input_data['arrival_rate'] = list(np.repeat(np.logspace(-3,1,num_arrival_rates), len(exp_thresholds)))\n",
    "input_data['expiration_threshold'] = exp_thresholds * num_arrival_rates\n",
    "input_data['expiration_threshold_labels'] = exp_threshold_labels * num_arrival_rates\n",
    "\n",
    "df = pd.DataFrame(data=input_data).reset_index(drop=True)\n",
    "\n",
    "def generate_trace_apply(x):\n",
    "    return pd.Series(generate_trace_api(x.to_dict()))\n",
    "\n",
    "df = df.progress_apply(generate_trace_apply, axis=1)\n",
    "df.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# calculate utilizations\n",
    "df['utilization_percent'] = df['inst_running_count_avg'] / df['inst_count_avg'] * 100\n",
    "df['prob_cold_percent'] = df['prob_cold'] * 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interactive Plots\n",
    "\n",
    "We will be making interactive plots here using the data generated by our simulator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# simple interactive plot\n",
    "\n",
    "# create a dataframe for each expiration threshold\n",
    "dfs = [df.loc[df['expiration_threshold_labels'] == name, :] for name in exp_threshold_labels]\n",
    "\n",
    "# create traces\n",
    "def df_add_trace(col_name, col_label, fig, axis_titles):\n",
    "    for idx in range(len(exp_threshold_labels)):\n",
    "        fig.add_trace(\n",
    "            go.Scatter(\n",
    "                x = dfs[idx].loc[:,'arrival_rate'],\n",
    "                y = dfs[idx].loc[:,col_name],\n",
    "                mode = 'markers+lines',\n",
    "                name = exp_threshold_labels[idx],\n",
    "            ),\n",
    "        )\n",
    "\n",
    "        axis_postfix = \"\"\n",
    "        axis_titles[\"xaxis\" + axis_postfix] = dict(title=\"Arrival Rate (reqs/sec)\")\n",
    "        axis_titles[\"yaxis\" + axis_postfix] = dict(title=col_label)\n",
    "\n",
    "    return axis_titles\n",
    "\n",
    "\n",
    "def plot_fig_for_col(col_name, col_label):\n",
    "    fig = go.Figure()\n",
    "    axis_titles = {}\n",
    "    axis_titles = df_add_trace(col_name, col_label, fig, axis_titles)\n",
    "    fig.update_layout(\n",
    "        xaxis_type=\"log\",\n",
    "        **axis_titles\n",
    "        )\n",
    "    fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "mode": "markers+lines",
         "name": "10 sec",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          96.90721649484536,
          98.47328244274809,
          93.04677623261695,
          81.66666666666667,
          57.607282184655396,
          30.884467881112176,
          15.357004685552164,
          7.845921170406495,
          4.325927163381222,
          2.381778472140051
         ]
        },
        {
         "mode": "markers+lines",
         "name": "1 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          95.14563106796116,
          85.1985559566787,
          62.73062730627307,
          31.351094196003803,
          9.613110322689645,
          5.110053539559786,
          2.5429212319903374,
          1.3062668228395014,
          0.6751769414818797,
          0.3665709670196091
         ]
        },
        {
         "mode": "markers+lines",
         "name": "10 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          57.14285714285714,
          21.16788321167883,
          1.877346683354193,
          2.4720149253731343,
          0.977792509115015,
          0.4264776549735704,
          0.2364117002299641,
          0.11394465545306566,
          0.05880942957640487,
          0.03381180031831109
         ]
        },
        {
         "mode": "markers+lines",
         "name": "20 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          30,
          4.285714285714286,
          1.314060446780552,
          1.9598236158745712,
          0.4156967076820751,
          0.23776972002615468,
          0.1119796713827336,
          0.061299709020368576,
          0.03117033474713066,
          0.014891422540616605
         ]
        },
        {
         "mode": "markers+lines",
         "name": "30 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          19,
          1.8382352941176472,
          1.2642225031605563,
          0.8719596145020652,
          0.47973531844499584,
          0.19204224929484487,
          0.08138264836270961,
          0.04037392465604522,
          0.020319715412643317,
          0.013687093071233827
         ]
        }
       ],
       "layout": {
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "title": {
          "text": "Arrival Rate (reqs/sec)"
         },
         "type": "log"
        },
        "yaxis": {
         "title": {
          "text": "Prob of Cold Start (%)"
         }
        }
       }
      }
     },
     "metadata": {}
    }
   ],
   "source": [
    "plot_fig_for_col('prob_cold_percent', 'Prob of Cold Start (%)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "mode": "markers+lines",
         "name": "10 sec",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          17.022353579145484,
          17.782410147367624,
          18.354811833463796,
          19.467769443799295,
          21.35068620510672,
          26.60053191291326,
          35.475310269627855,
          46.930834184935634,
          58.81743029916397,
          70.26905809320844
         ]
        },
        {
         "mode": "markers+lines",
         "name": "1 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          3.91006671204848,
          3.66579279065267,
          3.8986632138323096,
          5.5886276971183,
          9.23010761632015,
          15.133298505429021,
          23.645947611028962,
          34.867690641918024,
          47.75474822360121,
          60.957277160800295
         ]
        },
        {
         "mode": "markers+lines",
         "name": "10 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.49037115490990846,
          0.640900927014853,
          1.5243192459025752,
          3.2045904152408133,
          5.385866538836457,
          10.0406454411975,
          17.1586687909636,
          27.300143539842164,
          39.75749144352565,
          53.40438830662484
         ]
        },
        {
         "mode": "markers+lines",
         "name": "20 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.317444990082283,
          0.5782587311842161,
          1.4283569573519048,
          2.4369439290410018,
          5.244237558563715,
          9.379943261887668,
          15.839601068933762,
          25.519933634188025,
          38.735211849931076,
          52.26234493427134
         ]
        },
        {
         "mode": "markers+lines",
         "name": "30 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.2415355547081287,
          0.4942925990969175,
          1.3875474523387408,
          2.367781357237134,
          4.6381554693154,
          8.823046069737835,
          15.625956977674916,
          25.17595854812265,
          38.0550857311203,
          50.98720168101954
         ]
        }
       ],
       "layout": {
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "title": {
          "text": "Arrival Rate (reqs/sec)"
         },
         "type": "log"
        },
        "yaxis": {
         "title": {
          "text": "Utilization (%)"
         }
        }
       }
      }
     },
     "metadata": {}
    }
   ],
   "source": [
    "plot_fig_for_col('utilization_percent', 'Utilization (%)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "mode": "markers+lines",
         "name": "10 sec",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.009399393063044744,
          0.02591798708463551,
          0.07599563184153217,
          0.19543508975283588,
          0.47069605744363013,
          0.94704581703493,
          1.7205178291364596,
          2.9774887843983677,
          5.088201894328562,
          8.51933248918146
         ]
        },
        {
         "mode": "markers+lines",
         "name": "1 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.0582976681999665,
          0.1512918304659925,
          0.39195230300954764,
          0.7313764440231381,
          1.1633976729866866,
          1.9035410295179407,
          3.027009614635404,
          4.86266760282401,
          7.930120423408964,
          12.9325014132651
         ]
        },
        {
         "mode": "markers+lines",
         "name": "10 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.4412516070473275,
          0.8212260132556012,
          1.054135252072879,
          1.338660140812982,
          2.1338931322623953,
          2.971157758794741,
          4.521948428698061,
          6.924297162471765,
          10.964733470135146,
          17.548099655356534
         ]
        },
        {
         "mode": "markers+lines",
         "name": "20 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.7436934328992427,
          0.966815060226474,
          1.0783920890665852,
          1.6574919775778834,
          2.177768615237277,
          3.2508672479697247,
          4.9150657826896715,
          7.5878129983552025,
          11.440793110062117,
          18.38942036107208
         ]
        },
        {
         "mode": "markers+lines",
         "name": "30 min",
         "type": "scatter",
         "x": [
          0.001,
          0.0027825594022071257,
          0.007742636826811269,
          0.021544346900318832,
          0.05994842503189409,
          0.1668100537200059,
          0.46415888336127775,
          1.2915496650148828,
          3.593813663804626,
          10
         ],
         "y": [
          0.8316914477514421,
          1.0661449880401157,
          1.1758222888607712,
          1.8108803059018757,
          2.479365329233065,
          3.4765444188784485,
          5.088383560345873,
          7.704525461520547,
          11.810872831622268,
          19.388098133497262
         ]
        }
       ],
       "layout": {
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "title": {
          "text": "Arrival Rate (reqs/sec)"
         },
         "type": "log"
        },
        "yaxis": {
         "title": {
          "text": "Average Idle Instances"
         }
        }
       }
      }
     },
     "metadata": {}
    }
   ],
   "source": [
    "plot_fig_for_col('inst_idle_count_avg', 'Average Idle Instances')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 288x172.8 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"175.65225pt\" version=\"1.1\" viewBox=\"0 0 288.662074 175.65225\" width=\"288.662074pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 175.65225 \r\nL 288.662074 175.65225 \r\nL 288.662074 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 46.965625 138.096 \r\nL 280.965625 138.096 \r\nL 280.965625 7.2 \r\nL 46.965625 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 138.096 \r\nL 57.601989 7.2 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_2\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"medac8bf509\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"57.601989\" xlink:href=\"#medac8bf509\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0.001 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n       <path d=\"M 10.6875 12.40625 \r\nL 21 12.40625 \r\nL 21 0 \r\nL 10.6875 0 \r\nz\r\n\" id=\"DejaVuSans-46\"/>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n      </defs>\r\n      <g transform=\"translate(43.287926 152.694437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_3\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 110.783807 138.096 \r\nL 110.783807 7.2 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"110.783807\" xlink:href=\"#medac8bf509\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 0.01 -->\r\n      <g transform=\"translate(99.650994 152.694437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_5\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 163.965625 138.096 \r\nL 163.965625 7.2 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"163.965625\" xlink:href=\"#medac8bf509\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 0.1 -->\r\n      <g transform=\"translate(156.014062 152.694437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_7\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 217.147443 138.096 \r\nL 217.147443 7.2 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.147443\" xlink:href=\"#medac8bf509\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 1.0 -->\r\n      <g transform=\"translate(209.195881 152.694437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_9\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 270.329261 138.096 \r\nL 270.329261 7.2 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"270.329261\" xlink:href=\"#medac8bf509\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 10.0 -->\r\n      <g transform=\"translate(259.196449 152.694437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_11\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 2 \r\n\" id=\"m9bffcd7f06\" style=\"stroke:#000000;stroke-width:0.6;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"49.364021\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"52.448138\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"55.168522\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_9\">\r\n     <g id=\"line2d_14\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"73.611311\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_10\">\r\n     <g id=\"line2d_15\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"82.976164\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_11\">\r\n     <g id=\"line2d_16\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"89.620634\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_12\">\r\n     <g id=\"line2d_17\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"94.774484\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_13\">\r\n     <g id=\"line2d_18\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"98.985487\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_14\">\r\n     <g id=\"line2d_19\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"102.545839\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_15\">\r\n     <g id=\"line2d_20\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"105.629956\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_16\">\r\n     <g id=\"line2d_21\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"108.35034\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_17\">\r\n     <g id=\"line2d_22\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"126.793129\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_18\">\r\n     <g id=\"line2d_23\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"136.157983\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_19\">\r\n     <g id=\"line2d_24\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"142.802452\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_20\">\r\n     <g id=\"line2d_25\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"147.956303\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_21\">\r\n     <g id=\"line2d_26\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"152.167305\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_22\">\r\n     <g id=\"line2d_27\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"155.727657\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_23\">\r\n     <g id=\"line2d_28\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"158.811774\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_24\">\r\n     <g id=\"line2d_29\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"161.532158\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_25\">\r\n     <g id=\"line2d_30\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"179.974947\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_26\">\r\n     <g id=\"line2d_31\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"189.339801\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_27\">\r\n     <g id=\"line2d_32\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"195.98427\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_28\">\r\n     <g id=\"line2d_33\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"201.138121\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_29\">\r\n     <g id=\"line2d_34\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"205.349123\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_30\">\r\n     <g id=\"line2d_35\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"208.909475\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_31\">\r\n     <g id=\"line2d_36\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"211.993592\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_32\">\r\n     <g id=\"line2d_37\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"214.713977\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_33\">\r\n     <g id=\"line2d_38\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"233.156766\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_34\">\r\n     <g id=\"line2d_39\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"242.521619\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_35\">\r\n     <g id=\"line2d_40\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"249.166088\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_36\">\r\n     <g id=\"line2d_41\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"254.319939\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_37\">\r\n     <g id=\"line2d_42\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"258.530941\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_38\">\r\n     <g id=\"line2d_43\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"262.091293\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_39\">\r\n     <g id=\"line2d_44\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"265.175411\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_40\">\r\n     <g id=\"line2d_45\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.6;\" x=\"267.895795\" xlink:href=\"#m9bffcd7f06\" y=\"138.096\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_6\">\r\n     <!-- Arrival Rate (reqs/s) -->\r\n     <defs>\r\n      <path d=\"M 34.1875 63.1875 \r\nL 20.796875 26.90625 \r\nL 47.609375 26.90625 \r\nz\r\nM 28.609375 72.90625 \r\nL 39.796875 72.90625 \r\nL 67.578125 0 \r\nL 57.328125 0 \r\nL 50.6875 18.703125 \r\nL 17.828125 18.703125 \r\nL 11.1875 0 \r\nL 0.78125 0 \r\nz\r\n\" id=\"DejaVuSans-65\"/>\r\n      <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-114\"/>\r\n      <path d=\"M 9.421875 54.6875 \r\nL 18.40625 54.6875 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\nM 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 64.59375 \r\nL 9.421875 64.59375 \r\nz\r\n\" id=\"DejaVuSans-105\"/>\r\n      <path d=\"M 2.984375 54.6875 \r\nL 12.5 54.6875 \r\nL 29.59375 8.796875 \r\nL 46.6875 54.6875 \r\nL 56.203125 54.6875 \r\nL 35.6875 0 \r\nL 23.484375 0 \r\nz\r\n\" id=\"DejaVuSans-118\"/>\r\n      <path d=\"M 34.28125 27.484375 \r\nQ 23.390625 27.484375 19.1875 25 \r\nQ 14.984375 22.515625 14.984375 16.5 \r\nQ 14.984375 11.71875 18.140625 8.90625 \r\nQ 21.296875 6.109375 26.703125 6.109375 \r\nQ 34.1875 6.109375 38.703125 11.40625 \r\nQ 43.21875 16.703125 43.21875 25.484375 \r\nL 43.21875 27.484375 \r\nz\r\nM 52.203125 31.203125 \r\nL 52.203125 0 \r\nL 43.21875 0 \r\nL 43.21875 8.296875 \r\nQ 40.140625 3.328125 35.546875 0.953125 \r\nQ 30.953125 -1.421875 24.3125 -1.421875 \r\nQ 15.921875 -1.421875 10.953125 3.296875 \r\nQ 6 8.015625 6 15.921875 \r\nQ 6 25.140625 12.171875 29.828125 \r\nQ 18.359375 34.515625 30.609375 34.515625 \r\nL 43.21875 34.515625 \r\nL 43.21875 35.40625 \r\nQ 43.21875 41.609375 39.140625 45 \r\nQ 35.0625 48.390625 27.6875 48.390625 \r\nQ 23 48.390625 18.546875 47.265625 \r\nQ 14.109375 46.140625 10.015625 43.890625 \r\nL 10.015625 52.203125 \r\nQ 14.9375 54.109375 19.578125 55.046875 \r\nQ 24.21875 56 28.609375 56 \r\nQ 40.484375 56 46.34375 49.84375 \r\nQ 52.203125 43.703125 52.203125 31.203125 \r\nz\r\n\" id=\"DejaVuSans-97\"/>\r\n      <path d=\"M 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\n\" id=\"DejaVuSans-108\"/>\r\n      <path id=\"DejaVuSans-32\"/>\r\n      <path d=\"M 44.390625 34.1875 \r\nQ 47.5625 33.109375 50.5625 29.59375 \r\nQ 53.5625 26.078125 56.59375 19.921875 \r\nL 66.609375 0 \r\nL 56 0 \r\nL 46.6875 18.703125 \r\nQ 43.0625 26.03125 39.671875 28.421875 \r\nQ 36.28125 30.8125 30.421875 30.8125 \r\nL 19.671875 30.8125 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nL 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.578125 72.90625 50.734375 67.671875 \r\nQ 56.890625 62.453125 56.890625 51.90625 \r\nQ 56.890625 45.015625 53.6875 40.46875 \r\nQ 50.484375 35.9375 44.390625 34.1875 \r\nz\r\nM 19.671875 64.796875 \r\nL 19.671875 38.921875 \r\nL 32.078125 38.921875 \r\nQ 39.203125 38.921875 42.84375 42.21875 \r\nQ 46.484375 45.515625 46.484375 51.90625 \r\nQ 46.484375 58.296875 42.84375 61.546875 \r\nQ 39.203125 64.796875 32.078125 64.796875 \r\nz\r\n\" id=\"DejaVuSans-82\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-116\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-101\"/>\r\n      <path d=\"M 31 75.875 \r\nQ 24.46875 64.65625 21.28125 53.65625 \r\nQ 18.109375 42.671875 18.109375 31.390625 \r\nQ 18.109375 20.125 21.3125 9.0625 \r\nQ 24.515625 -2 31 -13.1875 \r\nL 23.1875 -13.1875 \r\nQ 15.875 -1.703125 12.234375 9.375 \r\nQ 8.59375 20.453125 8.59375 31.390625 \r\nQ 8.59375 42.28125 12.203125 53.3125 \r\nQ 15.828125 64.359375 23.1875 75.875 \r\nz\r\n\" id=\"DejaVuSans-40\"/>\r\n      <path d=\"M 14.796875 27.296875 \r\nQ 14.796875 17.390625 18.875 11.75 \r\nQ 22.953125 6.109375 30.078125 6.109375 \r\nQ 37.203125 6.109375 41.296875 11.75 \r\nQ 45.40625 17.390625 45.40625 27.296875 \r\nQ 45.40625 37.203125 41.296875 42.84375 \r\nQ 37.203125 48.484375 30.078125 48.484375 \r\nQ 22.953125 48.484375 18.875 42.84375 \r\nQ 14.796875 37.203125 14.796875 27.296875 \r\nz\r\nM 45.40625 8.203125 \r\nQ 42.578125 3.328125 38.25 0.953125 \r\nQ 33.9375 -1.421875 27.875 -1.421875 \r\nQ 17.96875 -1.421875 11.734375 6.484375 \r\nQ 5.515625 14.40625 5.515625 27.296875 \r\nQ 5.515625 40.1875 11.734375 48.09375 \r\nQ 17.96875 56 27.875 56 \r\nQ 33.9375 56 38.25 53.625 \r\nQ 42.578125 51.265625 45.40625 46.390625 \r\nL 45.40625 54.6875 \r\nL 54.390625 54.6875 \r\nL 54.390625 -20.796875 \r\nL 45.40625 -20.796875 \r\nz\r\n\" id=\"DejaVuSans-113\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-115\"/>\r\n      <path d=\"M 25.390625 72.90625 \r\nL 33.6875 72.90625 \r\nL 8.296875 -9.28125 \r\nL 0 -9.28125 \r\nz\r\n\" id=\"DejaVuSans-47\"/>\r\n      <path d=\"M 8.015625 75.875 \r\nL 15.828125 75.875 \r\nQ 23.140625 64.359375 26.78125 53.3125 \r\nQ 30.421875 42.28125 30.421875 31.390625 \r\nQ 30.421875 20.453125 26.78125 9.375 \r\nQ 23.140625 -1.703125 15.828125 -13.1875 \r\nL 8.015625 -13.1875 \r\nQ 14.5 -2 17.703125 9.0625 \r\nQ 20.90625 20.125 20.90625 31.390625 \r\nQ 20.90625 42.671875 17.703125 53.65625 \r\nQ 14.5 64.65625 8.015625 75.875 \r\nz\r\n\" id=\"DejaVuSans-41\"/>\r\n     </defs>\r\n     <g transform=\"translate(114.090625 166.372563)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-65\"/>\r\n      <use x=\"68.408203\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"107.771484\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"148.884766\" xlink:href=\"#DejaVuSans-105\"/>\r\n      <use x=\"176.667969\" xlink:href=\"#DejaVuSans-118\"/>\r\n      <use x=\"235.847656\" xlink:href=\"#DejaVuSans-97\"/>\r\n      <use x=\"297.126953\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"324.910156\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"356.697266\" xlink:href=\"#DejaVuSans-82\"/>\r\n      <use x=\"423.929688\" xlink:href=\"#DejaVuSans-97\"/>\r\n      <use x=\"485.208984\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"524.417969\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"585.941406\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"617.728516\" xlink:href=\"#DejaVuSans-40\"/>\r\n      <use x=\"656.742188\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"695.605469\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"757.128906\" xlink:href=\"#DejaVuSans-113\"/>\r\n      <use x=\"820.605469\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"872.705078\" xlink:href=\"#DejaVuSans-47\"/>\r\n      <use x=\"906.396484\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"958.496094\" xlink:href=\"#DejaVuSans-41\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_46\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 132.162724 \r\nL 280.965625 132.162724 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_47\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"meecec3b5b4\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"132.162724\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(33.603125 135.961943)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_48\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 107.99111 \r\nL 280.965625 107.99111 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_49\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"107.99111\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 20 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      </defs>\r\n      <g transform=\"translate(27.240625 111.790329)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_50\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 83.819497 \r\nL 280.965625 83.819497 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_51\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"83.819497\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 40 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(27.240625 87.618716)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_52\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 59.647884 \r\nL 280.965625 59.647884 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_53\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"59.647884\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 60 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      </defs>\r\n      <g transform=\"translate(27.240625 63.447102)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_54\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 35.47627 \r\nL 280.965625 35.47627 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_55\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"35.47627\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 80 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-56\"/>\r\n      </defs>\r\n      <g transform=\"translate(27.240625 39.275489)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-56\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_56\">\r\n      <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 46.965625 11.304657 \r\nL 280.965625 11.304657 \r\n\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\r\n     </g>\r\n     <g id=\"line2d_57\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"46.965625\" xlink:href=\"#meecec3b5b4\" y=\"11.304657\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 100 -->\r\n      <g transform=\"translate(20.878125 15.103876)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_13\">\r\n     <!-- Prob. of Cold Start (%) -->\r\n     <defs>\r\n      <path d=\"M 19.671875 64.796875 \r\nL 19.671875 37.40625 \r\nL 32.078125 37.40625 \r\nQ 38.96875 37.40625 42.71875 40.96875 \r\nQ 46.484375 44.53125 46.484375 51.125 \r\nQ 46.484375 57.671875 42.71875 61.234375 \r\nQ 38.96875 64.796875 32.078125 64.796875 \r\nz\r\nM 9.8125 72.90625 \r\nL 32.078125 72.90625 \r\nQ 44.34375 72.90625 50.609375 67.359375 \r\nQ 56.890625 61.8125 56.890625 51.125 \r\nQ 56.890625 40.328125 50.609375 34.8125 \r\nQ 44.34375 29.296875 32.078125 29.296875 \r\nL 19.671875 29.296875 \r\nL 19.671875 0 \r\nL 9.8125 0 \r\nz\r\n\" id=\"DejaVuSans-80\"/>\r\n      <path d=\"M 30.609375 48.390625 \r\nQ 23.390625 48.390625 19.1875 42.75 \r\nQ 14.984375 37.109375 14.984375 27.296875 \r\nQ 14.984375 17.484375 19.15625 11.84375 \r\nQ 23.34375 6.203125 30.609375 6.203125 \r\nQ 37.796875 6.203125 41.984375 11.859375 \r\nQ 46.1875 17.53125 46.1875 27.296875 \r\nQ 46.1875 37.015625 41.984375 42.703125 \r\nQ 37.796875 48.390625 30.609375 48.390625 \r\nz\r\nM 30.609375 56 \r\nQ 42.328125 56 49.015625 48.375 \r\nQ 55.71875 40.765625 55.71875 27.296875 \r\nQ 55.71875 13.875 49.015625 6.21875 \r\nQ 42.328125 -1.421875 30.609375 -1.421875 \r\nQ 18.84375 -1.421875 12.171875 6.21875 \r\nQ 5.515625 13.875 5.515625 27.296875 \r\nQ 5.515625 40.765625 12.171875 48.375 \r\nQ 18.84375 56 30.609375 56 \r\nz\r\n\" id=\"DejaVuSans-111\"/>\r\n      <path d=\"M 48.6875 27.296875 \r\nQ 48.6875 37.203125 44.609375 42.84375 \r\nQ 40.53125 48.484375 33.40625 48.484375 \r\nQ 26.265625 48.484375 22.1875 42.84375 \r\nQ 18.109375 37.203125 18.109375 27.296875 \r\nQ 18.109375 17.390625 22.1875 11.75 \r\nQ 26.265625 6.109375 33.40625 6.109375 \r\nQ 40.53125 6.109375 44.609375 11.75 \r\nQ 48.6875 17.390625 48.6875 27.296875 \r\nz\r\nM 18.109375 46.390625 \r\nQ 20.953125 51.265625 25.265625 53.625 \r\nQ 29.59375 56 35.59375 56 \r\nQ 45.5625 56 51.78125 48.09375 \r\nQ 58.015625 40.1875 58.015625 27.296875 \r\nQ 58.015625 14.40625 51.78125 6.484375 \r\nQ 45.5625 -1.421875 35.59375 -1.421875 \r\nQ 29.59375 -1.421875 25.265625 0.953125 \r\nQ 20.953125 3.328125 18.109375 8.203125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 75.984375 \r\nL 18.109375 75.984375 \r\nz\r\n\" id=\"DejaVuSans-98\"/>\r\n      <path d=\"M 37.109375 75.984375 \r\nL 37.109375 68.5 \r\nL 28.515625 68.5 \r\nQ 23.6875 68.5 21.796875 66.546875 \r\nQ 19.921875 64.59375 19.921875 59.515625 \r\nL 19.921875 54.6875 \r\nL 34.71875 54.6875 \r\nL 34.71875 47.703125 \r\nL 19.921875 47.703125 \r\nL 19.921875 0 \r\nL 10.890625 0 \r\nL 10.890625 47.703125 \r\nL 2.296875 47.703125 \r\nL 2.296875 54.6875 \r\nL 10.890625 54.6875 \r\nL 10.890625 58.5 \r\nQ 10.890625 67.625 15.140625 71.796875 \r\nQ 19.390625 75.984375 28.609375 75.984375 \r\nz\r\n\" id=\"DejaVuSans-102\"/>\r\n      <path d=\"M 64.40625 67.28125 \r\nL 64.40625 56.890625 \r\nQ 59.421875 61.53125 53.78125 63.8125 \r\nQ 48.140625 66.109375 41.796875 66.109375 \r\nQ 29.296875 66.109375 22.65625 58.46875 \r\nQ 16.015625 50.828125 16.015625 36.375 \r\nQ 16.015625 21.96875 22.65625 14.328125 \r\nQ 29.296875 6.6875 41.796875 6.6875 \r\nQ 48.140625 6.6875 53.78125 8.984375 \r\nQ 59.421875 11.28125 64.40625 15.921875 \r\nL 64.40625 5.609375 \r\nQ 59.234375 2.09375 53.4375 0.328125 \r\nQ 47.65625 -1.421875 41.21875 -1.421875 \r\nQ 24.65625 -1.421875 15.125 8.703125 \r\nQ 5.609375 18.84375 5.609375 36.375 \r\nQ 5.609375 53.953125 15.125 64.078125 \r\nQ 24.65625 74.21875 41.21875 74.21875 \r\nQ 47.75 74.21875 53.53125 72.484375 \r\nQ 59.328125 70.75 64.40625 67.28125 \r\nz\r\n\" id=\"DejaVuSans-67\"/>\r\n      <path d=\"M 45.40625 46.390625 \r\nL 45.40625 75.984375 \r\nL 54.390625 75.984375 \r\nL 54.390625 0 \r\nL 45.40625 0 \r\nL 45.40625 8.203125 \r\nQ 42.578125 3.328125 38.25 0.953125 \r\nQ 33.9375 -1.421875 27.875 -1.421875 \r\nQ 17.96875 -1.421875 11.734375 6.484375 \r\nQ 5.515625 14.40625 5.515625 27.296875 \r\nQ 5.515625 40.1875 11.734375 48.09375 \r\nQ 17.96875 56 27.875 56 \r\nQ 33.9375 56 38.25 53.625 \r\nQ 42.578125 51.265625 45.40625 46.390625 \r\nz\r\nM 14.796875 27.296875 \r\nQ 14.796875 17.390625 18.875 11.75 \r\nQ 22.953125 6.109375 30.078125 6.109375 \r\nQ 37.203125 6.109375 41.296875 11.75 \r\nQ 45.40625 17.390625 45.40625 27.296875 \r\nQ 45.40625 37.203125 41.296875 42.84375 \r\nQ 37.203125 48.484375 30.078125 48.484375 \r\nQ 22.953125 48.484375 18.875 42.84375 \r\nQ 14.796875 37.203125 14.796875 27.296875 \r\nz\r\n\" id=\"DejaVuSans-100\"/>\r\n      <path d=\"M 53.515625 70.515625 \r\nL 53.515625 60.890625 \r\nQ 47.90625 63.578125 42.921875 64.890625 \r\nQ 37.9375 66.21875 33.296875 66.21875 \r\nQ 25.25 66.21875 20.875 63.09375 \r\nQ 16.5 59.96875 16.5 54.203125 \r\nQ 16.5 49.359375 19.40625 46.890625 \r\nQ 22.3125 44.4375 30.421875 42.921875 \r\nL 36.375 41.703125 \r\nQ 47.40625 39.59375 52.65625 34.296875 \r\nQ 57.90625 29 57.90625 20.125 \r\nQ 57.90625 9.515625 50.796875 4.046875 \r\nQ 43.703125 -1.421875 29.984375 -1.421875 \r\nQ 24.8125 -1.421875 18.96875 -0.25 \r\nQ 13.140625 0.921875 6.890625 3.21875 \r\nL 6.890625 13.375 \r\nQ 12.890625 10.015625 18.65625 8.296875 \r\nQ 24.421875 6.59375 29.984375 6.59375 \r\nQ 38.421875 6.59375 43.015625 9.90625 \r\nQ 47.609375 13.234375 47.609375 19.390625 \r\nQ 47.609375 24.75 44.3125 27.78125 \r\nQ 41.015625 30.8125 33.5 32.328125 \r\nL 27.484375 33.5 \r\nQ 16.453125 35.6875 11.515625 40.375 \r\nQ 6.59375 45.0625 6.59375 53.421875 \r\nQ 6.59375 63.09375 13.40625 68.65625 \r\nQ 20.21875 74.21875 32.171875 74.21875 \r\nQ 37.3125 74.21875 42.625 73.28125 \r\nQ 47.953125 72.359375 53.515625 70.515625 \r\nz\r\n\" id=\"DejaVuSans-83\"/>\r\n      <path d=\"M 72.703125 32.078125 \r\nQ 68.453125 32.078125 66.03125 28.46875 \r\nQ 63.625 24.859375 63.625 18.40625 \r\nQ 63.625 12.0625 66.03125 8.421875 \r\nQ 68.453125 4.78125 72.703125 4.78125 \r\nQ 76.859375 4.78125 79.265625 8.421875 \r\nQ 81.6875 12.0625 81.6875 18.40625 \r\nQ 81.6875 24.8125 79.265625 28.4375 \r\nQ 76.859375 32.078125 72.703125 32.078125 \r\nz\r\nM 72.703125 38.28125 \r\nQ 80.421875 38.28125 84.953125 32.90625 \r\nQ 89.5 27.546875 89.5 18.40625 \r\nQ 89.5 9.28125 84.9375 3.921875 \r\nQ 80.375 -1.421875 72.703125 -1.421875 \r\nQ 64.890625 -1.421875 60.34375 3.921875 \r\nQ 55.8125 9.28125 55.8125 18.40625 \r\nQ 55.8125 27.59375 60.375 32.9375 \r\nQ 64.9375 38.28125 72.703125 38.28125 \r\nz\r\nM 22.3125 68.015625 \r\nQ 18.109375 68.015625 15.6875 64.375 \r\nQ 13.28125 60.75 13.28125 54.390625 \r\nQ 13.28125 47.953125 15.671875 44.328125 \r\nQ 18.0625 40.71875 22.3125 40.71875 \r\nQ 26.5625 40.71875 28.96875 44.328125 \r\nQ 31.390625 47.953125 31.390625 54.390625 \r\nQ 31.390625 60.6875 28.953125 64.34375 \r\nQ 26.515625 68.015625 22.3125 68.015625 \r\nz\r\nM 66.40625 74.21875 \r\nL 74.21875 74.21875 \r\nL 28.609375 -1.421875 \r\nL 20.796875 -1.421875 \r\nz\r\nM 22.3125 74.21875 \r\nQ 30.03125 74.21875 34.609375 68.875 \r\nQ 39.203125 63.53125 39.203125 54.390625 \r\nQ 39.203125 45.171875 34.640625 39.84375 \r\nQ 30.078125 34.515625 22.3125 34.515625 \r\nQ 14.546875 34.515625 10.03125 39.859375 \r\nQ 5.515625 45.21875 5.515625 54.390625 \r\nQ 5.515625 63.484375 10.046875 68.84375 \r\nQ 14.59375 74.21875 22.3125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-37\"/>\r\n     </defs>\r\n     <g transform=\"translate(14.798438 128.497219)rotate(-90)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-80\"/>\r\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-111\"/>\r\n      <use x=\"158.597656\" xlink:href=\"#DejaVuSans-98\"/>\r\n      <use x=\"222.074219\" xlink:href=\"#DejaVuSans-46\"/>\r\n      <use x=\"253.861328\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"285.648438\" xlink:href=\"#DejaVuSans-111\"/>\r\n      <use x=\"346.830078\" xlink:href=\"#DejaVuSans-102\"/>\r\n      <use x=\"382.035156\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"413.822266\" xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"483.646484\" xlink:href=\"#DejaVuSans-111\"/>\r\n      <use x=\"544.828125\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"572.611328\" xlink:href=\"#DejaVuSans-100\"/>\r\n      <use x=\"636.087891\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"667.875\" xlink:href=\"#DejaVuSans-83\"/>\r\n      <use x=\"731.351562\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"770.560547\" xlink:href=\"#DejaVuSans-97\"/>\r\n      <use x=\"831.839844\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"872.953125\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"912.162109\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"943.949219\" xlink:href=\"#DejaVuSans-40\"/>\r\n      <use x=\"982.962891\" xlink:href=\"#DejaVuSans-37\"/>\r\n      <use x=\"1077.982422\" xlink:href=\"#DejaVuSans-41\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_58\">\r\n    <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 15.042535 \r\nL 81.238352 13.149818 \r\nL 104.874716 19.708189 \r\nL 128.51108 33.461969 \r\nL 152.147443 62.539676 \r\nL 175.783807 94.836353 \r\nL 199.42017 113.602545 \r\nL 223.056534 122.680295 \r\nL 246.692898 126.934492 \r\nL 270.329261 129.284152 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_59\">\r\n    <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 17.171553 \r\nL 81.238352 29.193396 \r\nL 104.874716 56.3477 \r\nL 128.51108 94.272397 \r\nL 152.147443 120.544504 \r\nL 175.783807 125.986812 \r\nL 199.42017 129.089398 \r\nL 223.056534 130.583995 \r\nL 246.692898 131.346718 \r\nL 270.329261 131.719693 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_60\">\r\n    <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 63.100971 \r\nL 81.238352 106.579629 \r\nL 104.874716 129.893799 \r\nL 128.51108 129.175094 \r\nL 152.147443 130.980983 \r\nL 175.783807 131.647291 \r\nL 199.42017 131.877001 \r\nL 223.056534 132.025012 \r\nL 246.692898 132.091648 \r\nL 270.329261 132.121859 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_61\">\r\n    <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 95.905304 \r\nL 81.238352 126.983092 \r\nL 104.874716 130.574576 \r\nL 128.51108 129.794119 \r\nL 152.147443 131.660321 \r\nL 175.783807 131.87536 \r\nL 199.42017 132.027387 \r\nL 223.056534 132.088638 \r\nL 246.692898 132.125052 \r\nL 270.329261 132.144726 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"line2d_62\">\r\n    <path clip-path=\"url(#p8a656fd4b4)\" d=\"M 57.601989 109.199691 \r\nL 81.238352 129.941068 \r\nL 104.874716 130.634809 \r\nL 128.51108 131.10889 \r\nL 152.147443 131.582925 \r\nL 175.783807 131.930625 \r\nL 199.42017 132.064366 \r\nL 223.056534 132.113929 \r\nL 246.692898 132.138166 \r\nL 270.329261 132.146182 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 46.965625 138.096 \r\nL 46.965625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 280.965625 138.096 \r\nL 280.965625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 46.965625 138.096 \r\nL 280.965625 138.096 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 46.965625 7.2 \r\nL 280.965625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 207.20625 88.590625 \r\nL 273.965625 88.590625 \r\nQ 275.965625 88.590625 275.965625 86.590625 \r\nL 275.965625 14.2 \r\nQ 275.965625 12.2 273.965625 12.2 \r\nL 207.20625 12.2 \r\nQ 205.20625 12.2 205.20625 14.2 \r\nL 205.20625 86.590625 \r\nQ 205.20625 88.590625 207.20625 88.590625 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"line2d_63\">\r\n     <path d=\"M 209.20625 20.298438 \r\nL 229.20625 20.298438 \r\n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_64\"/>\r\n    <g id=\"text_14\">\r\n     <!-- 10 sec -->\r\n     <defs>\r\n      <path d=\"M 48.78125 52.59375 \r\nL 48.78125 44.1875 \r\nQ 44.96875 46.296875 41.140625 47.34375 \r\nQ 37.3125 48.390625 33.40625 48.390625 \r\nQ 24.65625 48.390625 19.8125 42.84375 \r\nQ 14.984375 37.3125 14.984375 27.296875 \r\nQ 14.984375 17.28125 19.8125 11.734375 \r\nQ 24.65625 6.203125 33.40625 6.203125 \r\nQ 37.3125 6.203125 41.140625 7.25 \r\nQ 44.96875 8.296875 48.78125 10.40625 \r\nL 48.78125 2.09375 \r\nQ 45.015625 0.34375 40.984375 -0.53125 \r\nQ 36.96875 -1.421875 32.421875 -1.421875 \r\nQ 20.0625 -1.421875 12.78125 6.34375 \r\nQ 5.515625 14.109375 5.515625 27.296875 \r\nQ 5.515625 40.671875 12.859375 48.328125 \r\nQ 20.21875 56 33.015625 56 \r\nQ 37.15625 56 41.109375 55.140625 \r\nQ 45.0625 54.296875 48.78125 52.59375 \r\nz\r\n\" id=\"DejaVuSans-99\"/>\r\n     </defs>\r\n     <g transform=\"translate(237.20625 23.798438)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-49\"/>\r\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"211.132812\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"272.65625\" xlink:href=\"#DejaVuSans-99\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_65\">\r\n     <path d=\"M 209.20625 34.976562 \r\nL 229.20625 34.976562 \r\n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_66\"/>\r\n    <g id=\"text_15\">\r\n     <!-- 1 min -->\r\n     <defs>\r\n      <path d=\"M 52 44.1875 \r\nQ 55.375 50.25 60.0625 53.125 \r\nQ 64.75 56 71.09375 56 \r\nQ 79.640625 56 84.28125 50.015625 \r\nQ 88.921875 44.046875 88.921875 33.015625 \r\nL 88.921875 0 \r\nL 79.890625 0 \r\nL 79.890625 32.71875 \r\nQ 79.890625 40.578125 77.09375 44.375 \r\nQ 74.3125 48.1875 68.609375 48.1875 \r\nQ 61.625 48.1875 57.5625 43.546875 \r\nQ 53.515625 38.921875 53.515625 30.90625 \r\nL 53.515625 0 \r\nL 44.484375 0 \r\nL 44.484375 32.71875 \r\nQ 44.484375 40.625 41.703125 44.40625 \r\nQ 38.921875 48.1875 33.109375 48.1875 \r\nQ 26.21875 48.1875 22.15625 43.53125 \r\nQ 18.109375 38.875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 21.1875 51.21875 25.484375 53.609375 \r\nQ 29.78125 56 35.6875 56 \r\nQ 41.65625 56 45.828125 52.96875 \r\nQ 50 49.953125 52 44.1875 \r\nz\r\n\" id=\"DejaVuSans-109\"/>\r\n      <path d=\"M 54.890625 33.015625 \r\nL 54.890625 0 \r\nL 45.90625 0 \r\nL 45.90625 32.71875 \r\nQ 45.90625 40.484375 42.875 44.328125 \r\nQ 39.84375 48.1875 33.796875 48.1875 \r\nQ 26.515625 48.1875 22.3125 43.546875 \r\nQ 18.109375 38.921875 18.109375 30.90625 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 21.34375 51.125 25.703125 53.5625 \r\nQ 30.078125 56 35.796875 56 \r\nQ 45.21875 56 50.046875 50.171875 \r\nQ 54.890625 44.34375 54.890625 33.015625 \r\nz\r\n\" id=\"DejaVuSans-110\"/>\r\n     </defs>\r\n     <g transform=\"translate(237.20625 38.476562)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-49\"/>\r\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"95.410156\" xlink:href=\"#DejaVuSans-109\"/>\r\n      <use x=\"192.822266\" xlink:href=\"#DejaVuSans-105\"/>\r\n      <use x=\"220.605469\" xlink:href=\"#DejaVuSans-110\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_67\">\r\n     <path d=\"M 209.20625 49.654688 \r\nL 229.20625 49.654688 \r\n\" style=\"fill:none;stroke:#2ca02c;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_68\"/>\r\n    <g id=\"text_16\">\r\n     <!-- 10 min -->\r\n     <g transform=\"translate(237.20625 53.154688)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-49\"/>\r\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-109\"/>\r\n      <use x=\"256.445312\" xlink:href=\"#DejaVuSans-105\"/>\r\n      <use x=\"284.228516\" xlink:href=\"#DejaVuSans-110\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_69\">\r\n     <path d=\"M 209.20625 64.332813 \r\nL 229.20625 64.332813 \r\n\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_70\"/>\r\n    <g id=\"text_17\">\r\n     <!-- 20 min -->\r\n     <g transform=\"translate(237.20625 67.832813)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-50\"/>\r\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-109\"/>\r\n      <use x=\"256.445312\" xlink:href=\"#DejaVuSans-105\"/>\r\n      <use x=\"284.228516\" xlink:href=\"#DejaVuSans-110\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"line2d_71\">\r\n     <path d=\"M 209.20625 79.010938 \r\nL 229.20625 79.010938 \r\n\" style=\"fill:none;stroke:#9467bd;stroke-linecap:square;stroke-width:1.5;\"/>\r\n    </g>\r\n    <g id=\"line2d_72\"/>\r\n    <g id=\"text_18\">\r\n     <!-- 30 min -->\r\n     <defs>\r\n      <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n     </defs>\r\n     <g transform=\"translate(237.20625 82.510938)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-51\"/>\r\n      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-109\"/>\r\n      <use x=\"256.445312\" xlink:href=\"#DejaVuSans-105\"/>\r\n      <use x=\"284.228516\" xlink:href=\"#DejaVuSans-110\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p8a656fd4b4\">\r\n   <rect height=\"130.896\" width=\"234\" x=\"46.965625\" y=\"7.2\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# plot one for validation, and for the paper\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import FuncFormatter\n",
    "\n",
    "def tick_formatter(x, pos):\n",
    "    if x > 0.01:\n",
    "        return f\"{x:.1f}\"\n",
    "    elif x > 0.001:\n",
    "        return f\"{x:.2f}\"\n",
    "    else:\n",
    "        return f\"{x:.3f}\"\n",
    "\n",
    "formatter = FuncFormatter(tick_formatter)\n",
    "\n",
    "col_name = \"prob_cold_percent\"\n",
    "\n",
    "plt.figure(figsize=(4,2.4))\n",
    "for idx in range(len(exp_threshold_labels)):\n",
    "    plt.semilogx(dfs[idx].loc[:,'arrival_rate'], dfs[idx].loc[:,col_name], label=exp_threshold_labels[idx])\n",
    "\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.ylabel(\"Prob. of Cold Start (%)\")\n",
    "plt.xlabel('Arrival Rate (reqs/s)')\n",
    "plt.gca().xaxis.set_major_formatter(formatter)\n",
    "plt.gcf().subplots_adjust(left=0.15, bottom=0.18)\n",
    "\n",
    "plt.savefig(\"figs/05-example-what-if.pdf\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}