trackman_notebook.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overview\n",
    "This jupyter notebook contains the code I wrote to obtain the recommendations in the accompanying google doc called \"KevinLuo_Trackman_Recs\". The structure of this notebook is like this:\n",
    "1. [Load Data](#Load-Data)\n",
    "2. [Compute General Statistics](#Compute-General-Statistics)\n",
    "4. [Pitch Performance by Zone Height](#Pitch-Performance-by-Zone-Height)\n",
    "\n",
    "Additionally, I factored out much of the code functionality into individual functions placed in trackman_utils.py. Any function not defined in this notebook is defined in trackman_utils.py.\n",
    "\n",
    "To run this notebook, you need to have the pybaseball library installed. To do this, simply run the following command: `pip install pybaseball`. Documentation for this library is [here](https://github.com/jldbc/pybaseball)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from pybaseball import statcast\n",
    "\n",
    "from trackman_utils import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Data\n",
    "This project uses two data sources: \n",
    "1. The csv provided by the questionnaire \n",
    "2. Statcast/Baseball Savant. I use the pybaseball library to scrape large chunks of data.\n",
    "Some bits and pieces are manually from looking at Baseball Reference/Fangraphs (i.e. I got the average HR/9 rate from Baseball Reference).\n",
    "\n",
    "I begin by scraping all events from the 2020 season using pybaseball:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This is a large query, it may take a moment to complete\n",
      "Completed sub-query from 2020-07-22 to 2020-07-27\n",
      "Completed sub-query from 2020-07-28 to 2020-08-02\n",
      "Completed sub-query from 2020-08-03 to 2020-08-08\n",
      "Completed sub-query from 2020-08-09 to 2020-08-14\n",
      "Completed sub-query from 2020-08-15 to 2020-08-20\n",
      "Completed sub-query from 2020-08-21 to 2020-08-26\n",
      "Completed sub-query from 2020-08-27 to 2020-09-01\n",
      "Completed sub-query from 2020-09-02 to 2020-09-07\n",
      "Completed sub-query from 2020-09-08 to 2020-09-13\n",
      "Completed sub-query from 2020-09-14 to 2020-09-19\n",
      "Completed sub-query from 2020-09-20 to 2020-09-25\n",
      "Completed sub-query from 2020-09-26 to 2020-10-01\n",
      "Completed sub-query from 2020-10-02 to 2020-10-07\n",
      "Completed sub-query from 2020-10-08 to 2020-10-13\n",
      "Completed sub-query from 2020-10-14 to 2020-10-19\n",
      "Completed sub-query from 2020-10-20 to 2020-10-25\n",
      "Completed sub-query from 2020-10-26 to 2020-10-31\n",
      "Completed sub-query from 2020-11-01 to 2020-11-01\n"
     ]
    }
   ],
   "source": [
    "# This may take 3 minutes or so\n",
    "all_stats = statcast(start_dt='2020-07-22', end_dt='2020-11-01')\n",
    "# convert from feet to inches\n",
    "all_stats['pfx_x'] = all_stats.apply(lambda row: abs(row.pfx_x * 12), axis=1)\n",
    "all_stats['pfx_z'] = all_stats.apply(lambda row: row.pfx_z * 12, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, I load in the provided trackman csv and augment it with statistics I find informative. For example, using the 2020 Statcast wOBA weights I add in wOBA values for each entry:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dataset shape: (2028, 31)\n"
     ]
    }
   ],
   "source": [
    "df=pd.read_csv('~/Downloads/player_trackman.csv', sep=',')\n",
    "print('dataset shape: ' + str(df.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "weights = {'Single': .9, 'Double': 1.25, 'Triple': 1.6, 'HomeRun': 2.0, 'Out': 0, 'Error': 0.9, \n",
    "           'FieldersChoice': 0, 'Sacrifice': 0, 'Strikeout': 0, 'Walk': .7}\n",
    "denoms = {'Single': 1, 'Double': 1, 'Triple': 1, 'HomeRun': 1, 'Out': 1, 'Error': 1, 'FieldersChoice': 1, \n",
    "          'Sacrifice': 0, 'Strikeout': 1, 'Walk': 1}\n",
    "df['woba_val'] = df.apply(parse_woba, weights=weights, axis=1)\n",
    "df['woba_denom'] = df.apply(parse_woba_denom, denoms=denoms, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute General Statistics\n",
    "In this section, I compute general metrics for Joe and compare him to league average."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of batters faced: 518\n",
      "wOBA: 0.34951361867704284\n",
      "number of strikeouts: 113\n",
      "number of walks: 46\n",
      "K rate: 0.21814671814671815\n",
      "BB rate: 0.0888030888030888\n",
      "K/BB ratio: 2.4565217391304346\n",
      "whiff rate: 0.26282051282051283\n",
      "putaway rate: 0.18433931484502447\n",
      "HR/9: 1.7267441860465116\n",
      "0-strike wOBA: 0.40127118644067794\n",
      "1-strike wOBA: 0.47109375\n",
      "2-strike wOBA: 0.26865671641791045\n",
      "HR/FB: 0.24719101123595505\n",
      "FB Rate: 0.25\n",
      "GB Rate: 0.4438202247191011\n",
      "Popup Rate: 0.05898876404494382\n",
      "Line-Drive Rate: 0.24719101123595505\n"
     ]
    }
   ],
   "source": [
    "num_batters = len(df[(df['k_or_bb']!=\"Undefined\") | (df['pitch_call']=='InPlay')])\n",
    "num_strikeouts = len(df[df['k_or_bb']=='Strikeout'])\n",
    "num_walks = len(df[df['k_or_bb']=='Walk'])\n",
    "whiffs = df[df['pitch_call']=='StrikeSwinging']\n",
    "swings = df[df['pitch_call'].isin(['StrikeSwinging', 'InPlay', 'FoulBall'])]\n",
    "whiff_rate = len(whiffs)/len(swings)\n",
    "putaway_rate = num_strikeouts/len(df[df['strikes']==2])\n",
    "homers = df[df['play_result']=='HomeRun']\n",
    "outs = df[(df['k_or_bb']=='Strikeout') | (df['play_result'].isin(['Out', 'FieldersChoice', 'Sacrifice']))]\n",
    "df_0str = df[df['strikes']==0]\n",
    "df_1str = df[df['strikes']==1]\n",
    "df_2str = df[df['strikes']==2]\n",
    "fly_balls = len(df[df['hit_type']=='FlyBall'])\n",
    "grounders = len(df[df['hit_type']=='GroundBall'])\n",
    "popups = len(df[df['hit_type']=='Popup'])\n",
    "ld = len(df[df['hit_type']=='LineDrive'])\n",
    "total = fly_balls + grounders + popups + ld\n",
    "hr_fb = len(homers)/fly_balls\n",
    "\n",
    "print(\"number of batters faced: \" + str(num_batters))\n",
    "print(\"wOBA: \" + str(df['woba_val'].sum()/df['woba_denom'].sum()))\n",
    "print(\"number of strikeouts: \" + str(num_strikeouts))\n",
    "print(\"number of walks: \" + str(num_walks))\n",
    "print(\"K rate: \" + str(num_strikeouts/num_batters))\n",
    "print(\"BB rate: \" + str(num_walks/num_batters))\n",
    "print(\"K/BB ratio: \" + str(num_strikeouts/num_walks))\n",
    "print(\"whiff rate: \" + str(whiff_rate))\n",
    "print(\"putaway rate: \" + str(putaway_rate))\n",
    "print(\"HR/9: \" + str(len(homers)/(len(outs)/27)))\n",
    "print(\"0-strike wOBA: \" + str(df_0str['woba_val'].sum()/df_0str['woba_denom'].sum()))\n",
    "print(\"1-strike wOBA: \" + str(df_1str['woba_val'].sum()/df_1str['woba_denom'].sum()))\n",
    "print(\"2-strike wOBA: \" + str(df_2str['woba_val'].sum()/df_2str['woba_denom'].sum()))\n",
    "print('HR/FB: ' + str(hr_fb))\n",
    "print('FB Rate: ' + str(fly_balls/total))\n",
    "print('GB Rate: ' + str(grounders/total))\n",
    "print('Popup Rate: ' + str(popups/total))\n",
    "print('Line-Drive Rate: ' + str(ld/total))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number completed at-bats across league: 70225\n",
      "League wOBA: 0.33160621761658027\n",
      "League BB rate: 0.08909932360270559\n",
      "League K rate: 0.23598433606265576\n",
      "League whiff rate: 0.24746359119833206\n",
      "League whiff rate on 2 strikes: 0.23859677715077313\n",
      "League putaway rate: 0.18805360530736046\n",
      "League 0-strike wOBA: 0.4424196072851451\n",
      "League 1-strike wOBA: 0.43137717403660336\n",
      "League 2-strike wOBA: 0.24491574209755074\n"
     ]
    }
   ],
   "source": [
    "lg_num_walks = len(all_stats[all_stats['events']=='walk'])\n",
    "lg_num_strikeouts = len(all_stats[all_stats['events']=='strikeout'])\n",
    "lg_appearances = len(all_stats[(all_stats['description'].isin(['hit_by_pitch','hit_into_play','hit_into_play_no_out',\n",
    " 'hit_into_play_score'])) | (all_stats['events'].isin(['strikeout', 'walk']))])\n",
    "lg_whiffs = len(all_stats[all_stats['description'].isin(['swinging_strike','swinging_strike_blocked'])])\n",
    "lg_swings = len(all_stats[all_stats['description'].isin(['swinging_strike','swinging_strike_blocked',\n",
    "                'hit_into_play', 'hit_into_play_no_out', 'hit_into_play_score', 'foul_tip', 'foul', 'foul_bunt'])])\n",
    "lg_whiff_rate = lg_whiffs/lg_swings\n",
    "all_stats_0str = all_stats[all_stats['strikes']==0]\n",
    "all_stats_1str = all_stats[all_stats['strikes']==1]\n",
    "all_stats_2str = all_stats[all_stats['strikes']==2]\n",
    "lg_whiff_rate_2str = len(all_stats_2str[all_stats_2str['description'].isin([\n",
    "    'swinging_strike','swinging_strike_blocked'])])/len(all_stats_2str[all_stats_2str['description'].isin(['swinging_strike','swinging_strike_blocked',\n",
    "                'hit_into_play', 'hit_into_play_no_out', 'hit_into_play_score', 'foul_tip', 'foul', 'foul_bunt'])])\n",
    "lg_putaways = len(all_stats_2str[all_stats_2str['description'].isin(['swinging_strike','swinging_strike_blocked', \n",
    "                                                                     'called_strike'])])\n",
    "lg_putaway_rate = lg_putaways/len(all_stats_2str)\n",
    "\n",
    "print(\"number completed at-bats across league: \" + str(lg_appearances))\n",
    "print(\"League wOBA: \" + str(all_stats['woba_value'].sum()/all_stats['woba_denom'].sum()))\n",
    "print(\"League BB rate: \" + str(lg_num_walks/lg_appearances))\n",
    "print(\"League K rate: \" + str(lg_num_strikeouts/lg_appearances))\n",
    "print(\"League whiff rate: \" + str(lg_whiff_rate))\n",
    "print(\"League whiff rate on 2 strikes: \" + str(lg_whiff_rate_2str))\n",
    "print(\"League putaway rate: \" + str(lg_putaway_rate))\n",
    "print(\"League 0-strike wOBA: \" + str(all_stats_0str['woba_value'].sum()/all_stats_0str['woba_denom'].sum()))\n",
    "print(\"League 1-strike wOBA: \" + str(all_stats_1str['woba_value'].sum()/all_stats_1str['woba_denom'].sum()))\n",
    "print(\"League 2-strike wOBA: \" + str(all_stats_2str['woba_value'].sum()/all_stats_2str['woba_denom'].sum()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below, I break down how each of Joe's pitches fares. I do the same for league average to get a sense of comparison. For each pitch type, I compute key stats like whiff rate and frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# for each pitch type, compute the number of times each pitch_call occurs.\n",
    "calls_by_pitch = df.groupby(['tagged_pitch_type', 'pitch_call']).size()\n",
    "calls_by_pitch_0str = df[df['strikes']==0].groupby(['tagged_pitch_type', 'pitch_call']).size()\n",
    "calls_by_pitch_1str = df[df['strikes']==1].groupby(['tagged_pitch_type', 'pitch_call']).size()\n",
    "calls_by_pitch_2str = df[df['strikes']==2].groupby(['tagged_pitch_type', 'pitch_call']).size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "pt = df.groupby('tagged_pitch_type').mean()\n",
    "pt['num_pitches'] = df.groupby('tagged_pitch_type').count()['rel_speed']\n",
    "pt['frequency'] = df.groupby('tagged_pitch_type').count()['rel_speed']/df.groupby('tagged_pitch_type').count()['rel_speed'].sum()\n",
    "pt['2str_prop'] = pt.apply(parse_prop, df=df_2str, axis=1)\n",
    "pt_sums = df.groupby('tagged_pitch_type').sum()\n",
    "pt['woba'] = pt_sums['woba_val']/pt_sums['woba_denom']\n",
    "pt['whiff_rate'] = pt.apply(parse_whiff, calls_by_pitch=calls_by_pitch, axis=1)\n",
    "pt['whiff_rate_0str'] = pt.apply(parse_whiff, calls_by_pitch=calls_by_pitch_0str, axis=1)\n",
    "pt['whiff_rate_1str'] = pt.apply(parse_whiff, calls_by_pitch=calls_by_pitch_1str, axis=1)\n",
    "pt['whiff_rate_2str'] = pt.apply(parse_whiff, calls_by_pitch=calls_by_pitch_2str, axis=1)\n",
    "pt['putaway_rate'] = pt.apply(parse_putaway, calls_by_pitch=calls_by_pitch_2str, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_calls_by_pitch_2str = all_stats[all_stats['strikes']==2].groupby(['pitch_type', 'description']).size()\n",
    "pt_all = all_stats.groupby('pitch_type').mean()\n",
    "pt_all['whiff_rate'] = pt_all.apply(parse_whiff_statcast, all_stats=all_stats, axis=1)\n",
    "pt_all['putaway_rate'] = pt_all.apply(parse_putaway, calls_by_pitch=all_calls_by_pitch_2str, statcast=True, axis=1)\n",
    "pt_all['2str_prop'] = pt_all.apply(parse_prop, df=all_stats_2str, statcast=True, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize Joe's performance per-pitch. Scroll right on table to see full info. Observe how Joe's curveball, slider and changeup get very good whiff rates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>frequency</th>\n",
       "      <th>num_pitches</th>\n",
       "      <th>rel_speed</th>\n",
       "      <th>spin_rate</th>\n",
       "      <th>induced_vert_break</th>\n",
       "      <th>horz_break</th>\n",
       "      <th>strike_prob</th>\n",
       "      <th>exit_speed</th>\n",
       "      <th>angle</th>\n",
       "      <th>woba</th>\n",
       "      <th>whiff_rate</th>\n",
       "      <th>putaway_rate</th>\n",
       "      <th>2str_prop</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tagged_pitch_type</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ChangeUp</th>\n",
       "      <td>0.185094</td>\n",
       "      <td>375</td>\n",
       "      <td>83.852181</td>\n",
       "      <td>1599.472751</td>\n",
       "      <td>4.168575</td>\n",
       "      <td>14.188447</td>\n",
       "      <td>0.365101</td>\n",
       "      <td>84.164668</td>\n",
       "      <td>4.180917</td>\n",
       "      <td>0.383505</td>\n",
       "      <td>0.380435</td>\n",
       "      <td>0.190083</td>\n",
       "      <td>0.197390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Curveball</th>\n",
       "      <td>0.136723</td>\n",
       "      <td>277</td>\n",
       "      <td>80.301658</td>\n",
       "      <td>2291.708923</td>\n",
       "      <td>-14.527425</td>\n",
       "      <td>-7.645178</td>\n",
       "      <td>0.261175</td>\n",
       "      <td>82.981064</td>\n",
       "      <td>-4.978477</td>\n",
       "      <td>0.204464</td>\n",
       "      <td>0.516484</td>\n",
       "      <td>0.270270</td>\n",
       "      <td>0.181077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fastball</th>\n",
       "      <td>0.560711</td>\n",
       "      <td>1136</td>\n",
       "      <td>94.205499</td>\n",
       "      <td>2318.137315</td>\n",
       "      <td>14.036425</td>\n",
       "      <td>10.470987</td>\n",
       "      <td>0.546449</td>\n",
       "      <td>87.042832</td>\n",
       "      <td>19.645526</td>\n",
       "      <td>0.373026</td>\n",
       "      <td>0.157221</td>\n",
       "      <td>0.147059</td>\n",
       "      <td>0.499184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Slider</th>\n",
       "      <td>0.115992</td>\n",
       "      <td>235</td>\n",
       "      <td>86.414234</td>\n",
       "      <td>2198.643612</td>\n",
       "      <td>2.878261</td>\n",
       "      <td>-1.136485</td>\n",
       "      <td>0.404706</td>\n",
       "      <td>85.537730</td>\n",
       "      <td>12.056047</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>0.383929</td>\n",
       "      <td>0.202703</td>\n",
       "      <td>0.120718</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   frequency  num_pitches  rel_speed    spin_rate  \\\n",
       "tagged_pitch_type                                                   \n",
       "ChangeUp            0.185094          375  83.852181  1599.472751   \n",
       "Curveball           0.136723          277  80.301658  2291.708923   \n",
       "Fastball            0.560711         1136  94.205499  2318.137315   \n",
       "Slider              0.115992          235  86.414234  2198.643612   \n",
       "\n",
       "                   induced_vert_break  horz_break  strike_prob  exit_speed  \\\n",
       "tagged_pitch_type                                                            \n",
       "ChangeUp                     4.168575   14.188447     0.365101   84.164668   \n",
       "Curveball                  -14.527425   -7.645178     0.261175   82.981064   \n",
       "Fastball                    14.036425   10.470987     0.546449   87.042832   \n",
       "Slider                       2.878261   -1.136485     0.404706   85.537730   \n",
       "\n",
       "                       angle      woba  whiff_rate  putaway_rate  2str_prop  \n",
       "tagged_pitch_type                                                            \n",
       "ChangeUp            4.180917  0.383505    0.380435      0.190083   0.197390  \n",
       "Curveball          -4.978477  0.204464    0.516484      0.270270   0.181077  \n",
       "Fastball           19.645526  0.373026    0.157221      0.147059   0.499184  \n",
       "Slider             12.056047  0.320000    0.383929      0.202703   0.120718  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pt[['frequency', 'num_pitches', 'rel_speed', 'spin_rate', 'induced_vert_break', 'horz_break', 'strike_prob', \n",
    "    'exit_speed', 'angle', 'woba', 'whiff_rate', 'putaway_rate', '2str_prop']].drop(index=['Undefined', 'Sinker'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare Joe's per-pitch performance to league average."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>release_speed</th>\n",
       "      <th>release_spin_rate</th>\n",
       "      <th>pfx_x</th>\n",
       "      <th>pfx_z</th>\n",
       "      <th>whiff_rate</th>\n",
       "      <th>putaway_rate</th>\n",
       "      <th>2str_prop</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pitch_type</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>CH</th>\n",
       "      <td>84.524014</td>\n",
       "      <td>1767.870356</td>\n",
       "      <td>13.430731</td>\n",
       "      <td>6.893531</td>\n",
       "      <td>0.302907</td>\n",
       "      <td>0.189440</td>\n",
       "      <td>0.123814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CS</th>\n",
       "      <td>74.129016</td>\n",
       "      <td>2383.108808</td>\n",
       "      <td>10.371606</td>\n",
       "      <td>-8.189845</td>\n",
       "      <td>0.289855</td>\n",
       "      <td>0.203390</td>\n",
       "      <td>0.000713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CU</th>\n",
       "      <td>78.535243</td>\n",
       "      <td>2541.587673</td>\n",
       "      <td>9.538011</td>\n",
       "      <td>-8.260096</td>\n",
       "      <td>0.311735</td>\n",
       "      <td>0.204703</td>\n",
       "      <td>0.107911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FC</th>\n",
       "      <td>88.271527</td>\n",
       "      <td>2388.458587</td>\n",
       "      <td>3.385959</td>\n",
       "      <td>7.904931</td>\n",
       "      <td>0.237800</td>\n",
       "      <td>0.186266</td>\n",
       "      <td>0.058777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FF</th>\n",
       "      <td>93.441788</td>\n",
       "      <td>2309.996230</td>\n",
       "      <td>7.293938</td>\n",
       "      <td>16.020979</td>\n",
       "      <td>0.200605</td>\n",
       "      <td>0.171167</td>\n",
       "      <td>0.326236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FO</th>\n",
       "      <td>87.933333</td>\n",
       "      <td>2082.000000</td>\n",
       "      <td>16.400000</td>\n",
       "      <td>11.840000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FS</th>\n",
       "      <td>85.232868</td>\n",
       "      <td>1470.582999</td>\n",
       "      <td>11.178947</td>\n",
       "      <td>4.985694</td>\n",
       "      <td>0.335234</td>\n",
       "      <td>0.209677</td>\n",
       "      <td>0.023226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>KC</th>\n",
       "      <td>81.541420</td>\n",
       "      <td>2552.697778</td>\n",
       "      <td>7.420070</td>\n",
       "      <td>-10.769674</td>\n",
       "      <td>0.332471</td>\n",
       "      <td>0.225140</td>\n",
       "      <td>0.028071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>KN</th>\n",
       "      <td>59.760870</td>\n",
       "      <td>2796.260870</td>\n",
       "      <td>5.947826</td>\n",
       "      <td>4.142609</td>\n",
       "      <td>0.111111</td>\n",
       "      <td>0.090909</td>\n",
       "      <td>0.000133</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SI</th>\n",
       "      <td>92.775330</td>\n",
       "      <td>2161.210785</td>\n",
       "      <td>14.716483</td>\n",
       "      <td>9.291875</td>\n",
       "      <td>0.139057</td>\n",
       "      <td>0.166871</td>\n",
       "      <td>0.118183</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SL</th>\n",
       "      <td>84.455525</td>\n",
       "      <td>2442.278709</td>\n",
       "      <td>5.901972</td>\n",
       "      <td>1.488108</td>\n",
       "      <td>0.346689</td>\n",
       "      <td>0.209729</td>\n",
       "      <td>0.212899</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            release_speed  release_spin_rate      pfx_x      pfx_z  \\\n",
       "pitch_type                                                           \n",
       "CH              84.524014        1767.870356  13.430731   6.893531   \n",
       "CS              74.129016        2383.108808  10.371606  -8.189845   \n",
       "CU              78.535243        2541.587673   9.538011  -8.260096   \n",
       "FC              88.271527        2388.458587   3.385959   7.904931   \n",
       "FF              93.441788        2309.996230   7.293938  16.020979   \n",
       "FO              87.933333        2082.000000  16.400000  11.840000   \n",
       "FS              85.232868        1470.582999  11.178947   4.985694   \n",
       "KC              81.541420        2552.697778   7.420070 -10.769674   \n",
       "KN              59.760870        2796.260870   5.947826   4.142609   \n",
       "SI              92.775330        2161.210785  14.716483   9.291875   \n",
       "SL              84.455525        2442.278709   5.901972   1.488108   \n",
       "\n",
       "            whiff_rate  putaway_rate  2str_prop  \n",
       "pitch_type                                       \n",
       "CH            0.302907      0.189440   0.123814  \n",
       "CS            0.289855      0.203390   0.000713  \n",
       "CU            0.311735      0.204703   0.107911  \n",
       "FC            0.237800      0.186266   0.058777  \n",
       "FF            0.200605      0.171167   0.326236  \n",
       "FO            0.000000           NaN   0.000000  \n",
       "FS            0.335234      0.209677   0.023226  \n",
       "KC            0.332471      0.225140   0.028071  \n",
       "KN            0.111111      0.090909   0.000133  \n",
       "SI            0.139057      0.166871   0.118183  \n",
       "SL            0.346689      0.209729   0.212899  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pt_all[['release_speed', 'release_spin_rate', 'pfx_x', 'pfx_z', 'whiff_rate', 'putaway_rate', '2str_prop']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Curveball looks like it can be really good (.202 woba, negative launch angle). Other pitches have struggling woba; but the curveball, changeup, and slider all have good whiff rates. Fastball's whiff rate is really bad compared to league average (league average around 28% in 2015). Throw fastball less as a start?\n",
    "\n",
    "In a hypothetical world, he has the following pitch distribution during 2 strikes: FB=0.35, CU=0.33, CH=0.2, SL=0.12. Assuming same per-pitch putaway rate, new putaway% = 0.35(0.147)+0.33(0.27)+0.2(0.19)+0.12(0.203)=20.2%!. So we would get above average putaway rate with that (about 65nd percentile).\n",
    "\n",
    "With 613 2-strike opportunities and a 18.4% putaway rate, he strikes out 112.792 batters.\n",
    "If we assume he creates the same number of opportunities and a 20.2% putaway rate, he strikes out 124 batters. Assuming he still faces 518 batters, this yields a 23.96% K rate which is in the 55th percentile."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the percentiles that Joe falls in for key stats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number qualified pitchers: 476\n"
     ]
    }
   ],
   "source": [
    "group_by_pitcher = all_stats.groupby('pitcher')\n",
    "stats_by_pitcher = group_by_pitcher.apply(agg_statcast_pitchers, min_batters_faced=50).dropna()\n",
    "print(\"Number qualified pitchers: \" + str(len(stats_by_pitcher)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Putaway=.184 Percentile: 0.48739495798319327\n",
      "Putaway=.202 Percentile: 0.6491596638655462\n",
      "\n",
      "\n",
      "K=.218 Percentile: 0.4117647058823529\n",
      "K=.2396 Percentile: 0.5462184873949579\n",
      "\n",
      "\n",
      "Whiff=.263 Percentile: 0.6218487394957983\n",
      "BB=.089 Percentile: 0.48109243697478987\n",
      "wOBA=.350 Percentile: 0.3382352941176471\n"
     ]
    }
   ],
   "source": [
    "print('Putaway=.184 Percentile: ' + str(percentile(0.184, stats_by_pitcher, 'putaway_rate')))\n",
    "print('Putaway=.202 Percentile: ' + str(percentile(0.202, stats_by_pitcher, 'putaway_rate')))\n",
    "print('\\n')\n",
    "print('K=.218 Percentile: ' + str(percentile(0.218, stats_by_pitcher, 'k_rate')))\n",
    "print('K=.2396 Percentile: ' + str(percentile(0.2396, stats_by_pitcher, 'k_rate')))\n",
    "print('\\n')\n",
    "print('Whiff=.263 Percentile: ' + str(percentile(0.263, stats_by_pitcher, 'whiff_rate')))\n",
    "print('BB=.089 Percentile: ' + str(1-percentile(0.089, stats_by_pitcher, 'bb_rate')))\n",
    "print('wOBA=.350 Percentile: ' + str(1-percentile(0.350, stats_by_pitcher, 'woba')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Joe was tagged for 22 homers during this season; 16 of those were off of fastballs, i.e. 73%. Throwing less fastballs probably lowers his HR/9."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tagged_pitch_type\n",
       "ChangeUp      3\n",
       "Curveball     1\n",
       "Fastball     16\n",
       "Slider        2\n",
       "dtype: int64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "homers = df[df['play_result']=='HomeRun']\n",
    "homers.groupby('tagged_pitch_type').size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In fact, 13/22 = 59% of the homers were hit off of fastballs during 0-strike or 1-strike counts. Having a more diverse pitch mix during such counts as suggested will ease the home run burden. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tagged_pitch_type  strikes\n",
       "ChangeUp           0          1\n",
       "                   2          2\n",
       "Curveball          0          1\n",
       "Fastball           0          6\n",
       "                   1          7\n",
       "                   2          3\n",
       "Slider             0          1\n",
       "                   2          1\n",
       "dtype: int64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "homers.groupby(['tagged_pitch_type', 'strikes']).size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pitch Performance by Zone Height\n",
    "In this section, I visualize how each of Joe's pitches does by zone height. For each pitch and zone height, I plot the pitches and print key metrics (whiff%, clean%, etc). Universal strike zone parameters are from [here](https://www.baseballprospectus.com/news/article/40891/prospectus-feature-the-universal-strike-zone/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (-100, 2.2)\n",
      "Fastball clean rate: 0.15384615384615385\n",
      "Fastball whiff rate: 0.0\n",
      "Fastball whiffs: 0\n",
      "Fastball called strikes: 8\n",
      "Fastball swings: 23\n",
      "Fastball strikes: 20\n",
      "Fastball chances: 52\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (2.2, 2.8)\n",
      "Fastball clean rate: 0.06557377049180328\n",
      "Fastball whiff rate: 0.08695652173913043\n",
      "Fastball whiffs: 4\n",
      "Fastball called strikes: 0\n",
      "Fastball swings: 46\n",
      "Fastball strikes: 36\n",
      "Fastball chances: 61\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (2.8, 100)\n",
      "Fastball clean rate: 0.17098445595854922\n",
      "Fastball whiff rate: 0.30851063829787234\n",
      "Fastball whiffs: 29\n",
      "Fastball called strikes: 4\n",
      "Fastball swings: 94\n",
      "Fastball strikes: 80\n",
      "Fastball chances: 193\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Fastball by height: {(-100, 2.2): 0.16993464052287582, (2.2, 2.8): 0.19934640522875818, (2.8, 100): 0.630718954248366}\n",
      "\n",
      "INFO FOR ChangeUp at (-100, 2.2)\n",
      "ChangeUp clean rate: 0.24719101123595505\n",
      "ChangeUp whiff rate: 0.3448275862068966\n",
      "ChangeUp whiffs: 20\n",
      "ChangeUp called strikes: 2\n",
      "ChangeUp swings: 58\n",
      "ChangeUp strikes: 26\n",
      "ChangeUp chances: 89\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR ChangeUp at (2.2, 2.8)\n",
      "ChangeUp clean rate: 0.0\n",
      "ChangeUp whiff rate: 0.0\n",
      "ChangeUp whiffs: 0\n",
      "ChangeUp called strikes: 0\n",
      "ChangeUp swings: 15\n",
      "ChangeUp strikes: 12\n",
      "ChangeUp chances: 17\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR ChangeUp at (2.8, 100)\n",
      "ChangeUp clean rate: 0.06666666666666667\n",
      "ChangeUp whiff rate: 0.2\n",
      "ChangeUp whiffs: 1\n",
      "ChangeUp called strikes: 0\n",
      "ChangeUp swings: 5\n",
      "ChangeUp strikes: 4\n",
      "ChangeUp chances: 15\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for ChangeUp by height: {(-100, 2.2): 0.7355371900826446, (2.2, 2.8): 0.14049586776859505, (2.8, 100): 0.12396694214876033}\n",
      "\n",
      "INFO FOR Slider at (-100, 2.2)\n",
      "Slider clean rate: 0.20754716981132076\n",
      "Slider whiff rate: 0.4166666666666667\n",
      "Slider whiffs: 10\n",
      "Slider called strikes: 1\n",
      "Slider swings: 24\n",
      "Slider strikes: 13\n",
      "Slider chances: 53\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAELCAYAAADawD2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAagUlEQVR4nO3de5RddX338fdnJldzEUwiBcIEKlYbeRLEEaSxaYNVkSL6VOgq4NNVu1ZTq1Bo6wpWalO8tAarq4DWNoittME+LYFKQVAqQYRKbAJJgAQrpUASsUAaLqNhJjPz7R9nj0xmzsy5zN5n73P257XWrDn77H32/u6TzPf8zu+qiMDMzDpfV94BmJlZazjhm5mVhBO+mVlJOOGbmZWEE76ZWUk44ZuZlUTmCV/SYZKul/SwpF2STs36mmZmNt60FlzjCuC2iDhb0gzgZS24ppmZjaEsB15JejmwDfjp8AgvM7NcZV3CPw54GvgbScuBrcBFEfGjkQMkrQZWA8yZM+cNr33tazMOycyss2zduvWZiFhU67isS/i9wL3AiojYLOkK4PmI+Gi143t7e2PLli2ZxWNm1okkbY2I3lrHZd1ouwfYExGbk+3rgZMyvqaZmVWRacKPiB8CuyW9JnnqLcDOLK9pZmbVtaKXzoXAhqSHzqPA+1pwTTMzGyPzhB8R24CadUtmZpYtj7Q1MysJJ3wzs5JwwjczKwknfDOzknDCNzMrCSd8M7OScMI3MysJJ3wzs5JwwjczKwknfDOzknDCNzMrCSd8M7OScMI3MysJJ3wzs5JwwjczKwknfDOzknDCNzMrCSd8M7OScMI3MysJJ3wzs5JwwjczKwknfDOzknDCNzMrCSd8M7OScMI3MysJJ3wzs5JwwjczK4lpWV9A0mPAC8AQMBgRvVlf08zMxss84SdWRcQzLbqWmZlV4SodM7OSaEXCD+AbkrZKWt2C65mZWRWtqNJ5c0TslfRK4HZJD0fEXSM7kw+B1QA9PT0tCMfMrJwyL+FHxN7k91PAjcDJY/avj4jeiOhdtGhR1uGYmZVWpglf0hxJ80YeA28DHszymmZmVl3WVTpHADdKGrnWdRFxW8bXNDOzKjJN+BHxKLA8y2uYmVl93C3TzKwknPDNzErCCd/MrCSc8M3MSsIJ38ysJJzwzcxKwgnfzKwknPDNzErCCd/MrCSc8M3MSsIJ38ysJJzwzcxKwgnfzKwknPDNzErCCd/MrCSc8M3MSsIJ38ysJJzwzcxKwgnfzKwknPDNzErCCd/MrCSc8M3MSsIJ38ysJJzwzcxKwgnfzKwknPDNzErCCd/MrCSc8M3MSqIlCV9St6T7Jd3ciuuZmdl4dSd8SefU89wELgJ21XstMzNLXyMl/D+s87lDSFoM/DLwxQauZWZmKZtW6wBJ7wDOAI6WdOWoXfOBwTqu8RfAGmDeBOdfDawG6OnpqeN0ZmbWjHpK+D8AtgAvAltH/dwEvH2yF0o6E3gqIrZOdExErI+I3ojoXbRoUd2Bm5lZY2qW8CNiO7Bd0nURcbDB868AzpJ0BjALmC/p7yPivU3EamZmU9BIHf7Jkm6X9B+SHpX0X5IenewFEfGHEbE4Io4Ffg24w8nezCwfNUv4o1wD/B6V6pyhbMIxM7OsNJLwn4uIW5u9UETcCdzZ7OvNzGxq6umlc1LycJOkTwM3AP0j+yPivoxiMzOzFNVTwv/MmO3eUY8DOC29cMzMLCv19NJZ1YpAzMwsW3XX4Uv6/SpPPwdsjYhtqUVkZmaZaKRbZi/wfuDo5Oe3gdOBqyWtySA2MzNLUSO9dBYDJ0VEH4CktcAtwEoqXTUvTz88MzNLSyMJ/5WM6p0DHASOiIgDkvoneI3ZeMceC48/nncU5bFkCTz2WN5RWAE0kvA3AJslfTXZfidwnaQ5wM7UI7PO9fjjEJF3FOUh5R2BFUTdCT8iPi7pVirz4wC8PyK2JI/PTz0yMzNLVT0Dr+ZHxPOSXgE8mvyM7HtFRPxPlgGamVk66inhXwecSaVhNgCN+f3TmUVnZmapqWfg1ZnJ7+OyD8fMzLLSyJq2kvReSR9NtnsknZxdaGZmlqZGBl79JXAqcF6y/QLw+dQjMjOzTDTSLfOUiDhJ0v0AEbFf0oyM4jIzs5Q1UsI/KKmbSkMtkhYBw5lEZWZmqWsk4V8J3Ai8UtIngbuBP80kKjMzS10jA682SNoKvIVKl8x3R8SuzCIzM7NUNVKHD/B94PmR10nqiYgnUo/KzMxS18h8+BcCa4H/prKI+cjAq2XZhGZmZmlqpIR/EfCaiNiXVTBmZpadRhptd1NZ4crMzNpQPZOnjSxt+Chwp6RbGDUvfkR8NqPYzMwsRfVU6cxLfj+R/MxIfszMrI3UM3naZfWcSNJVEXHh1EMyM7MsNFKHX8uK2oeYmVle0kz4ZmZWYJkmfEmzJH1X0nZJD0mqq3rIzMzS1+hI28lUWym5HzgtIvokTQfulnRrRNyb4nXNzKwOaSb8K8Y+EREB9CWb05OfSPGaZmZWp0ZWvLpd0mGjtg+X9PWR7Yj42wle1y1pG/AUcHtEbB6zf7WkLZK2PP300w2Gb2Zm9WqkDn9hRDw7shER+4FX1npRRAxFxInAYuBkSSeM2b8+InojonfRokUNhGNmZo1oJOEPS+oZ2ZC0hAaqZ5IPi03A6Q1c08zMUtJIHf6lVBpdv0WlgfbngdWTvSBZFetgRDwraTbwVmBds8GamVnzGlkA5TZJJwFvSp66OCKeqfGyI4EvJ0sjdgH/GBE3NxeqmZlNRaO9dH4OWDlqe9LkHRE7gNc3GpSZmaWvkV46n6IyJ/7O5OciSV7T1sysTTRSwj8DODEihgEkfRm4H/hIFoGZmVm6Gp1a4bBRj1+eYhxmZpaxRkr4fwbcL2kTlV46K4EPZxKVmZmlrpFeOl+RdCfwxuSpSyLih5lEZWZmqatnicOTxjy1J/l9lKSjIuK+9MMyM7O01VPC/8wk+wI4LaVYzMwsQ/UscbiqnhNJemtE3D71kMzMLAtpLoDiKRPMzAoszYRfbQEUMzMriDQTvhc2MTMrMC9ibmZWEmkm/MdSPJeZmaWskcnTXibpo5KuTrZfLenMkf0R8StZBGhmZulopIT/N0A/cGqyvRf4ROoRmZlZJhpJ+K+KiMuBgwAR8WPcM8fMrG00kvAHkmUKA0DSq6iU+M3MrA00MlvmnwC3AcdI2gCsAN6XRVBmZpa+RmbL/IakrVTWtBVwUR1r2pqZWUE00kvnmxGxLyJuiYibI+IZSd/MMjgzM0tPPdMjzwJeBiyUdDgvNdTOB47OMDYrsX19/ezZf4DFh89mwdyZhTufWTuqp0rnt4GLgaOArbyU8J8HPpdNWJ3NyWdyX922l0s27mB6VxcHh4e5/D3LOOvE5ssWaZ/PrF3VMz3yFcAVki6MiKtaEFNHc/KZ3L6+fi7ZuIMXDw7zIsMAfOj6HSw9cj7HHzEvlfOt2biDFccvLNSHbV6FABc+yqWRRturJJ0ALAVmjXr+2iwC60R5J592+OPes/8A07u6fvL+AAwMDnPGld/mz89Z3vCHY7XzTe/qYs/+A4V5D/IqBLjwUT6NNNquBa5KflYBlwNnZRRXRxpJPqONJJ+sfXXbXlasu4P3fnEzK9bdwU3b9mZynX19/Wzf/Sz7+poborH48NkcHB4e9/zAULBm446Gz1vtfAeHh1l8+Oym4kvb6ELAC/2DvHhwuKn7bJfrWr4aGXh1NvAW4IcR8T5gOfDyTKLqUJMln6kmysm06o87jQ+VBXNncvl7ljFj2vj/ms18OI6cb9b0LubNnMas6V1c/p5lhSnd51UIyLPwYflpZODVgYgYljQoaT7wFHBMRnF1pJHks2bM1+i7H3km06/WrajWSKO6aqTKacXxC/nahW/mjCu/zcDQS8ssNFsyP+vEo1lx/MJCVmfl9Q2k6N98LBuNJPwtkg4DrqbSW6cP+M5kL5B0DHAtcASVKRnWJ43ApTU2+QCsWHdHpvX6rfjjnuqHSrX65D8/Z/m4D8dm35MFc2cWKtGPmKgQkHWseV3X8tVIo+0Hkod/Jek2YH5E7KjxskHgDyLiPknzgK2Sbo+InU3G2xFGJ5/tu59NvfQ9tnG2FX/cU/lQmejbwT2XnMY9l5xWyJJ5mvL6BlLkbz6WjXoGXp002b6IuG+i/RHxJPBk8vgFSbuoDNYqdcIfLe3S90Q9L7L+457Kh8pk3w6WH3NYKRJRXt9AivrNx7JRTwn/M6Mej163Vsn2afVcSNKxwOuBzWOeXw2sBujp6annVB0lzdJ3rXr0rP+4m/1QcX2yWWvUM/BqFUAyNfIHgDdTSfTfBr5Qz0UkzQU2AhdHxPNjzr8eWA/Q29tbyoXQ0yp9F6HPeTMfKq5Pzk87jM2w9DTSaPtlKtMpXJlsn0elQfZXJ3uRpOlUkv2GiLihmSDLII3SdzuXlF2f3BqjE3zWvcOseBpJ+CdExNJR25skTVoXL0nANcCuiPhsMwFa/dq9pOz65GyNbt8ZGBpmaHiYwWEy6R3mbw7F1EjCv0/SmyLiXgBJpwBbarxmBfD/gAckbUue+0hEfK3hSK0uLilbNdXad8ZKq/pvoo4D/hDIXyMJ/w3Av0l6ItnuAb4n6QEgImLZ2BdExN143duWc0nZxqrWvjNWGtV/E3UceOHFQT5+y05XH+WskYR/emZRWOpcmqpPWd6nau0707tFl2BGd3dq1X/VPli6JS67eScDg8WesbQMGhl49XiWgVh6PAtifcr0Pk3UvpN29V/VjgNDw8yY1sXA4EvPFW3G0rJopIRvbSDvKZizkEUpvBPfp1omat9J836rfbB89JeX8vFbDu3f0S69xzqNE36HKUJf/GZMlNSzKoW36/s0Va1o36n2wTJv1rTMe4+VpXpuKpzwO0w79sWfrFdHrVJ4s3/k7fg+tZOxHyxZ9x4rU/XcVDQyH761gaLP/z7WZHP115qzfWT+/fOuvpdT/+ybrP/Wf9a9pkC7vU+dYMHcmZnMjeTFXOrnEn4HKlJf/Fol8MmqVmotGDPyRz7iT299mJndQl2qq4RXpPfJmlfW6rlmOOF3qCL0xR/5mj2tSwwMBWvfuZTzT1lyyDGTJfXJRg5v3/0s3Ro/xKN/KCBZDrGeBtgivE82Na6eq58TfptotwapfX39rLl+O/2DL82Hd+mND0LA+aOOqzUdxESl8MWHz+bg0MSDiLIq4RX536HIsWWp3acUaSUn/DaQdoNUKxLDhs1PHJLsR1z2Lw8dkvChdtVKtVL4grkzWfvO13HpPz9Y9fpTKeG1usdQGoocWyu4eq4+TvgFl3Z/8VYkhn19/Xx+0yNV903vrt5PoJmqlfPftAQEl/3LTgT0Dw4fUoef5vtT5H77RY6tlVw9V5sTfsGl2SDVqsSwZ/8BZnR30T84vsplKNJd8uD8U5Zw+ut+ij37DzBnRjc/GhhquoQ32ftT5IbBIsdmxeKEX3BpNki1IjHs6+vnuQMDDAwNjds3c1ql5M3fLYEqDa7NWpD8pHGeh6vt+ERl3wPV9n0shQtP0XJqxLZkSbW9VkJO+AWXZoNU1r0ZRleHDAdM64LZ06cxMDTMBauO57xTeipxP/ZYKtdL276+flasu+OQrp6zpndxzyWnsWDuTG7atnfcv0NR6smLHJsVhyLlr9hT0dvbG1u21JpivzxGNx4CqTRIZZUYqiXLmdO6uPrXe3ndUfPbpmqh1vtT5J4wRY7NsiVpa0T01jrOJfyCyqpxNaveDNWqi/oHh9m++1lW/syiVK7RCs30GCqKIsdmxeCpFQoo66HiWQxxX3z4bAaq9Iv/3Kbvt90Q96ymADDLmxN+AdWaQ6aIFsydyQWrjh/3/Izu7tTi3tfXX/dcOWY2nqt0Cqhdh4qfd0oPn9v0/UMGXKUVd9kHFpmlwSX8AmrXmRwXzJ3Jp89ennrcng3RLB0u4RdUuw4VzyJuDywyS4cTfoG1a6+LtOOuVsU1MDTEcwcG2NfX35bvkVkeXKVjuaqnIXZsFde0LhgO+OCG+1mx7g5u2ra3hRG3jhupLW0u4VtuGmmIHakqeugHz/Nb126hf3CYg0ODQGdOFOZGasuCS/iWi2YaYhfMncnLZ09nRnd7dVltlBupLStO+JaLZscatGuX1Ua04zgMaw9O+JaLZhN3u3ZZbUQZPtQsH5nW4Uv6EnAm8FREnJDltay9TGUW0HbtslovL9lnWcl0tkxJK4E+4Np6Er5ny+wc9c7c6BkeJ+b3xupViNkyI+IuScdmeQ0rnkZ6mLTrWINW8HtjaXMdvqUq7x4m7rtuNrHc++FLWg2sBujp6ck5mtbrtK/teU6D4L7rZpPLPeFHxHpgPVTq8HMOp6U6MUHl1cOkVQu0m7UzV+nkJO+qj6zk1W3SfdfNasu6W+ZXgF8EFkraA6yNiGuyvGa76OQZIPPoNum+62a1Zd1L59wsz9/OOj1BtbqHifuum9WWex1+WZUlQbWyUbrTB2SZTZUTfo46PUHl0SjtvutmE3PCz1mnJij3mjErHvfSsUzU22vGA6XMWsclfMtEPY3SnTgOwazIXMK3TNTqj7+vr58112/vuHEIZkXmEr5lZrJG6Q2bn6B/8NCB1Z0yDsGsqJzwLVPVGqX39fXz+U2PjDt2YGioY8YhmBWRq3Ss5fbsPzBuXVqAC1a92qV7sww54VvLVWvQnTmti/NOKd9sqWat5IRvLVetQffTZxdjlLG7iVoncx2+5aKIo4zdTdQ6nRO+5aZIo4w9MtjKwFU6Zng+fSsHJ3wzOn+6ajNwwreUtHtjZ14rdZm1kuvwbco6pbGziA3JZmlywrcp6bTGziI1JJulzVU6NiVu7DRrH074NiVu7DRrH074NiVu7DRrH67DtylzY6dZe3DCt1S4sdOs+FylY2ZWEk74ZmYl4YRvZlYSTvhmZiXhhJ+Bdp9Xxsw6U+a9dCSdDlwBdANfjIhPZX3NPHXKvDJm1nkyLeFL6gY+D7wDWAqcK2lpltfM0+h5ZV7oH+TFg8Os2bjDJX0zK4Ssq3ROBh6JiEcjYgD4B+BdGV8zN55XxsyKLOsqnaOB3aO29wCnjD5A0mpgdbLZL+nBjGPKTlf3tBmLjv0/SD/J+k9GDJ/4icceYHhoEFgIPFPPedQ9Y0YMDQwkr2sX9d1f+/L9ta9OvjeA19RzUO4jbSNiPbAeQNKWiOjNOaTM+P7am++vfXXyvUHl/uo5Lusqnb3AMaO2FyfPmZlZi2Wd8P8deLWk4yTNAH4NuCnja5qZWRWZVulExKCkC4CvU+mW+aWIeGiSl6zPMp4C8P21N99f++rke4M6708RkXUgZmZWAB5pa2ZWEk74ZmYlUbiEL+njknZI2ibpG5KOyjumNEn6tKSHk3u8UdJheceUJknnSHpI0rCkjugGJ+l0Sd+T9IikD+cdT9okfUnSU209BmYCko6RtEnSzuT/5UV5x5QmSbMkfVfS9uT+Lpv0+KLV4UuaHxHPJ49/F1gaEe/POazUSHobcEfSoL0OICIuyTms1Ej6WWAY+GvgQxFRV//gokqmB/kP4K1UBg7+O3BuROzMNbAUSVoJ9AHXRsQJeceTJklHAkdGxH2S5gFbgXd3yr+fJAFzIqJP0nTgbuCiiLi32vGFK+GPJPvEHKBYn0hTFBHfiIiR0bP3Uhmb0DEiYldEfC/vOFLU8dODRMRdwP/kHUcWIuLJiLgvefwCsIvKDAAdISr6ks3pyc+EObNwCR9A0icl7QbOB/4473gy9JvArXkHYZOqNj1IxySMMpF0LPB6YHPOoaRKUrekbcBTwO0RMeH95ZLwJf2rpAer/LwLICIujYhjgA3ABXnEOBW17i855lJgkMo9tpV67s+sSCTNBTYCF4+pRWh7ETEUESdSqS04WdKE1XK5zKUTEb9U56EbgK8BazMMJ3W17k/SbwBnAm+JojWi1KGBf79O4OlB2lxSt70R2BARN+QdT1Yi4llJm4DTgaoN8IWr0pH06lGb7wIeziuWLCQLwqwBzoqIH+cdj9Xk6UHaWNKoeQ2wKyI+m3c8aZO0aKSnn6TZVDoXTJgzi9hLZyOVqT6HgceB90dEx5SoJD0CzAT2JU/d22G9kP4vcBWwCHgW2BYRb881qCmSdAbwF7w0Pcgn840oXZK+AvwilSmE/xtYGxHX5BpUSiS9Gfg28ACVnALwkYj4Wn5RpUfSMuDLVP5vdgH/GBEfm/D4oiV8MzPLRuGqdMzMLBtO+GZmJeGEb2ZWEk74ZmYl4YRvZlYSTvhmZiXhhG9tS9KdtaZglnSxpJdldf6pkHSUpOvzuLaVkxO+dbqLgaYSftYi4gcRcXbecVh5OOFb4Uk6Nlk0ZoOkXZKuH1tql/QFSVtGLwKRrKdwFLApmWMESW+T9B1J90n6p2RSrXpiOFfSA8kkcetGPX96cq7tkr45yet/IVnUZ5uk+yXNS+7rwWT/bEn/kNzfjcDsUa9tKmazsZzwrV28BvjLiPhZ4HngA2P2XxoRvcAy4BckLYuIK4EfAKsiYpWkhcAfAb8UEScBW4Dfr3VhVVZdWwecBpwIvFHSuyUtAq4G3hMRy4FzJjnNh4APJrMa/jxwYMz+3wF+nNzfWuANybWbitmsmlxmyzRrwu6IuCd5/PfA747Z/6uSVlP5P30ksBTYMeaYNyXP31OZU4sZwHfquPYbgTsj4mkASRuAlcAQcFdE/BdAREy2iMg9wGeT194QEXuSGEasBK5MzrND0kjszcZsNo4TvrWLsZM+/WRb0nFUStBvjIj9kv4WmFXlHKKyQMS5mUU5gYj4lKRbgDOoJO+3Ay/W8dLcYrbO4yodaxc9kk5NHp9HZe3OEfOBHwHPSToCeMeofS8A85LH9wIrJB0PIGmOpJ+p49rfpVJNtFCVNW7PBb6VnG9l8oGDpFdMdAJJr4qIByJiHZUpl1875pC7kvsiWcBi2RRjNhvHCd/axfeAD0raBRwOfGFkR0RsB+6nMg/4dVSqT0asB26TtCmpkvkN4CtJlcl3GJ94x4mIJ4EPA5uA7cDWiPhqcr7VwA2StgP/f5LTXJw0+O4ADjJ+acsvAHOT+/sYlcW2aTZms2o8PbIVniprkd4cERMu3WZmtbmEb2ZWEi7hW+kl/d6PG/P0JRHx9SbO9T7gojFP3xMRH2w2PrO0OOGbmZWEq3TMzErCCd/MrCSc8M3MSsIJ38ysJP4X0MSVKYo8NIIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Slider at (2.2, 2.8)\n",
      "Slider clean rate: 0.18181818181818182\n",
      "Slider whiff rate: 0.2222222222222222\n",
      "Slider whiffs: 2\n",
      "Slider called strikes: 0\n",
      "Slider swings: 9\n",
      "Slider strikes: 8\n",
      "Slider chances: 11\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Slider at (2.8, 100)\n",
      "Slider clean rate: 0.2\n",
      "Slider whiff rate: 0.2857142857142857\n",
      "Slider whiffs: 2\n",
      "Slider called strikes: 0\n",
      "Slider swings: 7\n",
      "Slider strikes: 7\n",
      "Slider chances: 10\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAELCAYAAADawD2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAVP0lEQVR4nO3df5BlZX3n8fdnYBiQH0JgtIRhgKjBUNaA2KIuWRIwKrIE3UVTwbhVcXdr4sYY2GwKNMZl88NNIKUVcBN3MRpNHMxmGSgtUZQ1sKwukMzAMCKDWYuADGqAEYSJMBno7/5xT0vTdE/f23NP3+573q+qrr7n3nvO8z3F8OmnnvOc56SqkCSNvxWjLkCStDgMfEnqCANfkjrCwJekjjDwJakjDHxJ6ojWAz/JoUmuSnJ3km1JXtt2m5Kk59p3Edq4DLiuqt6aZD/geYvQpiRphrR541WS5wNbgB8v7/CSpJFqu4d/HPAQ8GdJTgQ2A+dX1T9OfSHJemA9wIEHHvjKl73sZS2XJEnjZfPmzQ9X1er5vtd2D38CuAU4tapuTXIZ8FhVfWC2709MTNSmTZtaq0eSxlGSzVU1Md/32r5oux3YXlW3NttXASe33KYkaRatBn5VfQ+4P8nxzVuvA+5qs01J0uwWY5bOe4ANzQyde4B3LkKbkqQZWg/8qtoCzDu2JElql3faSlJHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1xL5tN5DkXuBx4GngqaqaaLtNSdJztR74jdOr6uFFakuSNAuHdCSpIxYj8Av4cpLNSdYvQnuSpFksxpDOT1XVA0leAFyf5O6qumnqw+aPwHqAtWvXLkI5ktRNrffwq+qB5veDwDXAKTM+v6KqJqpqYvXq1W2XI0md1WrgJzkwycFTr4E3AHe22aYkaXZtD+m8ELgmyVRbV1bVdS23KUmaRauBX1X3ACe22YYkqT9Oy5SkjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXFmDHzl3ccf+j7Ni5a9SlSH1r+xGH0tj57JYHuGjjVlauWMHuyUkuPXcd55x01KjLkuZlD18awI6du7ho41ae3D3J47ue4sndk1y4cas9fS0LBr40gO2PPMHKFc/+32blihVsf+SJEVUk9c/Alwaw5rAD2D05+az3dk9OsuawA0ZUkdQ/A18awOEHreLSc9ex/8oVHLxqX/ZfuYJLz13H4QetGnVp0ry8aCsN6JyTjuLUlxzB9keeYM1hBxj2WjYMfGkBDj9olUGvZcchHUnqCANfkjrCwJekjjDwJakjFiXwk+yT5PYkn1+M9iRJz9V34Cd5Wz/vzeF8YFu/bUmShm+QHv77+nzvWZKsAf4F8KcDtCVJGrJ55+EneRNwFnBUksunfXQI8FQfbfwRcCFw8BzHXw+sB1i7dm0fh5MkLUQ/PfzvAJuAJ4HN034+B7xxTzsmORt4sKo2z/WdqrqiqiaqamL16tV9Fy5JGsy8PfyqugO4I8mVVbV7wOOfCpyT5Cxgf+CQJJ+uqncsoFZJ0l4YZAz/lCTXJ/m7JPck+fsk9+xph6p6X1WtqapjgV8A/tqwl6TRGGQtnY8D/4HecM7T7ZQjSWrLIIH/g6r64kIbqqobgRsXur8kae/0M0vn5OblDUn+ELga+NHz3KrqtpZqkyQNUT89/A/N2J6Y9rqAM4ZXjiSpLf3M0jl9MQqRJLWr7zH8JL8+y9s/ADZX1ZahVSRJasUg0zIngHcBRzU/vwycCXwsyYUt1CYtWzt27uKO+x9lx85d839ZWiSDzNJZA5xcVTsBklwMXAucRm+q5qXDL09afj675QEu2riVlStWsHtykkvPXcc5Jx016rKkgQL/BUybnQPsBl5YVU8ksRuj/h17LNx336iraM2bm58f+b0RFTLlmGPg3ntHXISWgkECfwNwa5LPNts/B1yZ5EDgrqFXpvF1331QNeoqWnHH/Y/yjj+9lcd3PbOu4MGr9uXT/+7VnHj0oaMpKhlNu1py+g78qvrdJF+ktz4OwLuqalPz+heHXpm0DK057AB2T04+673dk5OsOeyAEVUkPWPei7ZJDml+/xhwD/AXzc89zXuSGocftIpLz13H/itXcPCqfdl/5QouPXcdhx+0atSlSX318K8EzqZ3YbaAzPj9461Vp87ZsXMX2x95gjWHHbBsQ/Kck47i1JccsezPQ+Onnxuvzm5+H9d+OeqycZrdcvhBqwx6LTmDPNM2Sd6R5APN9tokp7RXmrpkx85dXLRxK0/unuTxXU/x5O5JLty41Xns0hANcuPVnwCvBd7ebD8O/PHQK1InbX/kCVauePY/x5UrVrD9kSdGVJE0fgaZlvnqqjo5ye0AVfVIkv1aqksd4+wWqX2D9PB3J9mH3oVakqwGJve8i9QfZ7dI7Rukh385cA3wgiQfBN4K/FYrVamTnN0itWuQG682JNkMvI7elMy3VNW21ipTJ803u2Ucpm1KozJIDx/g/wGPTe2XZG1VfXvoVUmzGKdpm9IoDLIe/nuAi4F/oPcQ86kbr9a1U5r0jOnTNp9sLh1duHErp77kCHv6Up8G6eGfDxxfVTvaKkaay9S0zSenzROYmra5mIHvkJKWs0EC/356T7iSFt1SmLa5N0NK/qHQUjBv4E97tOE9wI1JrmXauvhV9eGWapN+ZGra5oUzAnexwnNvhpS89qClop8e/sHN7283P/s1P9KiGuW0zYUOKXntQUtJP4un/XY/B0rykap6z96XJM1tVIuSLXRIaalce5BgsDtt53Pq/F+RlqeF3gk8imsPPkBdcxl0Hr7UWQsZUlrsaw+zXi9opaXR8OL33mk18JPsD9wErGrauqqqLm6zTalNCxlSWqxrD3NdLxiXwPfi994b5pDObE9K3gWcUVUnAicBZyZ5zRDb1JgY92GIww9axYlHH9pqr3SuJabHgc9LGI5h9vAvm/lGVRWws9lc2fzUENvUGLDnNhxzXS8YB178Ho5Bnnh1fZJDp20fluRLU9tV9ck59tsnyRbgQeD6qrp1xufrk2xKsumhhx4asHwtd/bchmeuC8vjYCnceDcOBunhH1FVj05tNA9AecF8O1XV08BJzR+La5K8vKrunPb5FcAVABMTE/b+O8ae23CN6xLTo77xbthGdfF5kMCfnL46ZpJjGGB4pqoeTXIDcCZw53zfVzfYcxu+cX2A+rj8MRvlEOYgV3TeD3w1yV8k+TS92Tfv29MOSVZPDQMlOQB4PXD3AmvVGPJJVxrEYlz8btOohzAHeQDKdUlOBqZm2VxQVQ/Ps9uLgE81j0ZcAfxVVX1+YaVqXI1Lz02az6iHMAedpfPPgNOmbe8xvKtqK/CKQYtS94zrMIQ03aiHMAeZpfMH9NbEv6v5OT/Jf2mrMEkaN6Mewhykh38WcFJVTQIk+RRwO/CbbRQmSeNolEOYgw7pHAp8v3n9/OGWIkndMKohzEEC//eB25uplaE3lv/eVqqSJA3dILN0PpPkRuBVzVsXVdX3WqlKkjR0/Tzi8OQZb21vfh+Z5Miqum34ZUmShq2fHv6H9vBZAWcMqRZJUov6ecTh6f0cKMnrq+r6vS9JktSGYS6WfckQjyVJGrK2H4AiSVoihhn4Lm0sSUvYeDz/TJI0r2EG/r1DPJYkacgGWTzteUk+kORjzfZLk5w99XlV/as2CpQkDccgPfw/A3YBr222HwB+b+gVSZJaMUjgv7iqLgV2A1TVD3FmjiQtG4ME/j81jyksgCQvptfjlyQtA4OslvmfgeuAo5NsAE4F3tlGUZKk4RtktcwvJ9lM75m2Ac7v45m2kqQlYpBZOl+pqh1VdW1Vfb6qHk7ylTaLkyQNTz/LI+8PPA84IslhPHOh9hDgqBZrkyQNUT9DOr8MXAAcCWzmmcB/DPiv7ZQlSRq2fpZHvgy4LMl7quoji1CTJKkFg1y0/UiSlwMnAPtPe//P2yhMkjRcfQd+kouBn6EX+F8A3gR8FTDwJWkZGOTGq7cCrwO+V1XvBE4Ent9KVZKkoRsk8J+oqkngqSSHAA8CR7dTliRp2AYJ/E1JDgU+Rm+2zm3AzXvaIcnRSW5IcleSbyQ5f+GlSpL2xiAXbX+lefnfklwHHFJVW+fZ7SngP1bVbUkOBjYnub6q7lpgvZKkBernxquT9/RZVd021+dV9V3gu83rx5Nso3ezloEvSYusnx7+h6a9nv7c2jTbZ/TTUJJjgVcAt854fz2wHmDt2rX9HEqStADzjuFX1elVdTpwFnAt8APgUeBzzXvzSnIQsBG4oKoem3H8K6pqoqomVq9ePWD5kqR+DbI88qfoLadwebP9dnpz8H9+TzslWUkv7DdU1dULKVKStPcGCfyXV9UJ07ZvSLLHsfgkAT4ObKuqDy+kQEnScAwyLfO2JK+Z2kjyamDTPPucCvxr4IwkW5qfvoaBJEnDNUgP/5XA/03y7WZ7LfDNJF8HqqrWzdyhqr6Kz72VpCVhkMA/s7UqJEmtG+TGq/vaLESS1K5BxvAlScuYgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdMchaOtJwHHMMxDX1Fs0xx4y6Ai0RBr4W3733jroCqZMc0pGkjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjmg18JN8IsmDSe5ssx1J0vza7uF/Ejiz5TYkSX1oNfCr6ibg+222IUnqj2P4ktQRIw/8JOuTbEqy6aGHHhp1OZI0tkYe+FV1RVVNVNXE6tWrR12OJI2tkQe+JGlxtD0t8zPAzcDxSbYn+bdttidJmtu+bR68qs5r8/iSpP45pCNJHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1ROuBn+TMJN9M8q0k7227PUnS7FoN/CT7AH8MvAk4ATgvyQlttilJml3bPfxTgG9V1T1V9U/AXwJvbrlNSdIs9m35+EcB90/b3g68evoXkqwH1jebu5Lc2XJNo3QE8PCoi2iR57e8jfP5jfO5ARzfz5faDvx5VdUVwBUASTZV1cSIS2qN57e8eX7L1zifG/TOr5/vtT2k8wBw9LTtNc17kqRF1nbg/y3w0iTHJdkP+AXgcy23KUmaRatDOlX1VJJfBb4E7AN8oqq+sYddrmizniXA81vePL/la5zPDfo8v1RV24VIkpYA77SVpI4w8CWpI5Zc4Cf53SRbk2xJ8uUkR466pmFK8odJ7m7O8Zokh466pmFK8rYk30gymWQspsGN+/IgST6R5MFxvAcmydFJbkhyV/Pv8vxR1zRMSfZP8jdJ7mjO77f3+P2lNoaf5JCqeqx5/WvACVX1rhGXNTRJ3gD8dXNB+xKAqrpoxGUNTZKfBCaB/w78RlX1NT94qWqWB/k74PX0bhz8W+C8qrprpIUNUZLTgJ3An1fVy0ddzzAleRHwoqq6LcnBwGbgLePy3y9JgAOrameSlcBXgfOr6pbZvr/kevhTYd84EFhaf5H2UlV9uaqeajZvoXdvwtioqm1V9c1R1zFEY788SFXdBHx/1HW0oaq+W1W3Na8fB7bRWwFgLFTPzmZzZfMzZ2YuucAHSPLBJPcDvwj8p1HX06J/A3xx1EVoj2ZbHmRsAqNLkhwLvAK4dcSlDFWSfZJsAR4Erq+qOc9vJIGf5H8luXOWnzcDVNX7q+poYAPwq6OocW/Md37Nd94PPEXvHJeVfs5PWkqSHARsBC6YMYqw7FXV01V1Er3RglOSzDksN5K1dKrqZ/v86gbgC8DFLZYzdPOdX5JfAs4GXldL7SJKHwb47zcOXB5kmWvGtjcCG6rq6lHX05aqejTJDcCZwKwX4JfckE6Sl07bfDNw96hqaUOSM4ELgXOq6oejrkfzcnmQZay5qPlxYFtVfXjU9QxbktVTM/2SHEBvcsGcmbkUZ+lspLfU5yRwH/CuqhqbHlWSbwGrgB3NW7eM2Sykfwl8BFgNPApsqao3jrSovZTkLOCPeGZ5kA+OtqLhSvIZ4GfoLSH8D8DFVfXxkRY1JEl+Cvg/wNfpZQrAb1bVF0ZX1fAkWQd8it6/zRXAX1XV78z5/aUW+JKkdiy5IR1JUjsMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX8tWkhvnW4I5yQVJntfW8fdGkiOTXDWKttVNBr7G3QXAggK/bVX1nap666jrUHcY+FrykhzbPDRmQ5JtSa6a2WtP8tEkm6Y/BKJ5nsKRwA3NGiMkeUOSm5PcluR/Notq9VPDeUm+3iwSd8m0989sjnVHkq/sYf+fbh7qsyXJ7UkObs7rzubzA5L8ZXN+1wAHTNt3QTVLMxn4Wi6OB/6kqn4SeAz4lRmfv7+qJoB1wE8nWVdVlwPfAU6vqtOTHAH8FvCzVXUysAn49fkaTu+pa5cAZwAnAa9K8pYkq4GPAedW1YnA2/ZwmN8A3t2savjPgSdmfP7vgR8253cx8Mqm7QXVLM1mJKtlSgtwf1V9rXn9aeDXZnz+80nW0/s3/SLgBGDrjO+8pnn/a701tdgPuLmPtl8F3FhVDwEk2QCcBjwN3FRVfw9QVXt6iMjXgA83+15dVdubGqacBlzeHGdrkqnaF1qz9BwGvpaLmYs+/Wg7yXH0etCvqqpHknwS2H+WY4TeAyLOa63KOVTVHyS5FjiLXni/EXiyj11HVrPGj0M6Wi7WJnlt8/rt9J7dOeUQ4B+BHyR5IfCmaZ89DhzcvL4FODXJSwCSHJjkJ/po+2/oDRMdkd4zbs8D/ndzvNOaPzgk+bG5DpDkxVX19aq6hN6Syy+b8ZWbmvOieYDFur2sWXoOA1/LxTeBdyfZBhwGfHTqg6q6A7id3jrgV9IbPplyBXBdkhuaIZlfAj7TDJnczHOD9zmq6rvAe4EbgDuAzVX12eZ464Grk9wB/I89HOaC5oLvVmA3z3205UeBg5rz+x16D9tmoTVLs3F5ZC156T2L9PNVNeej2yTNzx6+JHWEPXx1XjPv/bgZb19UVV9awLHeCZw/4+2vVdW7F1qfNCwGviR1hEM6ktQRBr4kdYSBL0kdYeBLUkf8f0viBE9WMEKKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Slider by height: {(-100, 2.2): 0.7162162162162162, (2.2, 2.8): 0.14864864864864866, (2.8, 100): 0.13513513513513514}\n",
      "\n",
      "INFO FOR Curveball at (-100, 2.2)\n",
      "Curveball clean rate: 0.29213483146067415\n",
      "Curveball whiff rate: 0.5111111111111111\n",
      "Curveball whiffs: 23\n",
      "Curveball called strikes: 3\n",
      "Curveball swings: 45\n",
      "Curveball strikes: 17\n",
      "Curveball chances: 89\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAELCAYAAADawD2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAekElEQVR4nO3dfZRcdZ3n8fenu5MQQgJIAoenABqVQQYitiATZQRHZRDRXZEd8eHoHifjKg7sjAd8GBYdx1nxgTOijDvxYZQjOqsgBwRFWAkqDOAkkAQCiBwGJEEHyEAgGjpJ93f/qFuk0l3ddW/VvVW36n5e5/RJ18Ot+71dnU/9+nd/9/dTRGBmZoNvqNcFmJlZdzjwzcwqwoFvZlYRDnwzs4pw4JuZVYQD38ysIgoPfEl7Sbpc0n2S7pV0fNH7NDOzqUa6sI8vANdFxOmSZgO7d2GfZmY2iYq88ErSnsAa4PnhK7zMzHqq6Bb+YcDjwD9LOhpYDZwdEb+rP0HScmA5wLx58152+OGHF1ySmdlgWb169RMRsajV84pu4Y8CtwHLIuJ2SV8Ano6I85s9f3R0NFatWlVYPWZmg0jS6ogYbfW8ok/abgA2RMTtye3LgWMK3qeZmTVRaOBHxG+BRyS9OLnrNcA9Re7TzMya68YonQ8ClyUjdB4E3tOFfZqZ2SSFB35ErAFa9i2ZmVmxfKWtmVlFOPDNzCrCgW9mVhEOfDOzinDgm5lVhAPfzKwiHPhmZhXhwDczqwgHvplZRTjwzcwqwoFvZlYRDnwzs4pw4JuZVYQD38ysIhz4ZmYV4cA3M6sIB76ZWUU48M3MKsKBb2ZWEQ58M7OKcOCbmVWEA9/MrCIc+GZmFeHANzOrCAe+mVlFOPDNzCrCgW9mVhEjRe9A0kPAM8A4sCMiRovep5mZTVV44CdOjIgnurQvMzNrwl06ZmYV0Y3AD+B6SaslLe/C/szMrIludOm8MiI2StoXuEHSfRHxs/qDyYfAcoDFixd3oRwzs2oqvIUfERuTfx8DrgSOnfT4iogYjYjRRYsWFV2OmVllFRr4kuZJml//HngdcHeR+zQzs+aK7tLZD7hSUn1f346I6wrep5mZNVFo4EfEg8DRRe7DzMzS8bBMM7OKcOCbmVWEA9/MrCIc+GZmFeHANzOrCAe+mVlFOPDNzCrCgW9mVhEOfDOzinDgm5lVhAPfzKwiHPhmZhXhwDczqwgHvplZRTjwzcwqwoFvZlYRDnwzs4pw4JuZVYQD38ysIhz4ZmYV4cA3M6sIB76ZWUU48M3MKsKBb2ZWEQ58M7OKcOCbmVWEA9/MrCIc+GZmFdGVwJc0LOlOSdd0Y39mZjZV6sCX9NY0903jbODetPsyM7P8ZWnhfyTlfbuQdBDwBuCrGfZlZmY5G2n1BEl/CpwCHCjp4oaHFgA7UuzjH4BzgfnTvP5yYDnA4sWLU7ycmZm1I00L/1FgFfAssLrh62rg9TNtKOlU4LGIWD3dcyJiRUSMRsTookWLUhduZmbZtGzhR8RaYK2kb0fE9oyvvww4TdIpwG7AAknfioh3tFGrmZl1IEsf/rGSbpB0v6QHJf27pAdn2iAiPhIRB0XEocCfATc67M3MeqNlC7/B14D/Sa07Z7yYcszMrChZAn9zRPyo3R1FxE3ATe1ub2ZmnUkzSueY5NuVkj4LfB8Yqz8eEXcUVJuZmeUoTQv/85NujzZ8H8BJ+ZVjZmZFSTNK58RuFGJmZsVK3Ycv6a+a3L0ZWB0Ra3KryMzMCpFlWOYo8D7gwOTrL4CTga9IOreA2szMLEdZRukcBBwTEVsAJF0AXAucQG2o5mfyL8/MzPKSJfD3pWF0DrAd2C8itkoam2Ybs6kOPRQefrjXVVTHIYfAQw/1ugorgSyBfxlwu6SrkttvBL4taR5wT+6V2eB6+GGI6HUV1SH1ugIridSBHxGflPQjavPjALwvIlYl378998rMzCxXaS68WhART0t6HvBg8lV/7HkR8Z9FFmhmZvlI08L/NnAqtROzAWjSv88vrDozM8tNmguvTk3+Paz4cszMrChZ1rSVpHdIOj+5vVjSscWVZmZmecpy4dU/AscDZya3nwEuyb0iMzMrRJZhmcdFxDGS7gSIiCclzS6oLjMzy1mWFv52ScPUTtQiaREwUUhVZmaWuyyBfzFwJbCvpE8BNwN/X0hVZmaWuywXXl0maTXwGmpDMt8cEfcWVpmZmeUqSx8+wK+Ap+vbSVocEb/OvSozM8tdlvnwPwhcAPwHtUXM6xdeHVVMaWZmlqcsLfyzgRdHxKaiijEzs+JkOWn7CLUVrszMrA+lmTytvrThg8BNkq6lYV78iLiooNrMzCxHabp05if//jr5mp18mZlZH0kzedon0ryQpC9GxAc7L8nMzIqQpQ+/lWWtn2JmZr2SZ+CbmVmJFRr4knaT9AtJayWtl5Sqe8jMzPKX9UrbmTRbKXkMOCkitkiaBdws6UcRcVuO+zUzsxTyDPwvTL4jIgLYktyclXxFjvs0M7OUsqx4dYOkvRpu7y3px/XbEfGNabYblrQGeAy4ISJun/T4ckmrJK16/PHHM5ZvZmZpZenDXxgRT9VvRMSTwL6tNoqI8YhYChwEHCvpyEmPr4iI0YgYXbRoUYZyzMwsiyyBPyFpcf2GpEPI0D2TfFisBE7OsE8zM8tJlj78j1E76fpTaidoXwUsn2mDZFWs7RHxlKS5wGuBC9st1szM2pdlAZTrJB0DvCK565yIeKLFZvsD30yWRhwCvhsR17RXqpmZdSLrKJ0/Ak5ouD1jeEfEOuClWYsyM7P8ZRml82lqc+Lfk3ydLclr2pqZ9YksLfxTgKURMQEg6ZvAncBHiyjMzMzylXVqhb0avt8zxzrMzKxgWVr4/xu4U9JKaqN0TgA+XEhVZmaWuyyjdL4j6Sbg5cld50XEbwupyszMcpdmicNjJt21Ifn3AEkHRMQd+ZdlZmZ5S9PC//wMjwVwUk61mJlZgdIscXhimheS9NqIuKHzkszMrAh5LoDiKRPMzEosz8BvtgCKmZmVRJ6B74VNzMxKzIuYm5lVRJ6B/1COr2VmZjnLMnna7pLOl/SV5PYLJZ1afzwi/msRBZqZWT6ytPD/GRgDjk9ubwT+LveKzMysEFkC/wUR8RlgO0BE/B6PzDEz6xtZAn9bskxhAEh6AbUWv5mZ9YEss2V+HLgOOFjSZcAy4D1FFGVmZvnLMlvm9ZJWU1vTVsDZKda0NTOzksgySucnEbEpIq6NiGsi4glJPymyODMzy0+a6ZF3A3YHFkram50nahcABxZYm5mZ5ShNl85fAOcABwCr2Rn4TwNfKqYsMzPLW5rpkb8AfEHSByPii12oycwKtmnLGBue3MpBe89lnz3m9Loc65IsJ22/KOlI4Ahgt4b7Ly2iMDMrxlVrNnLeFeuYNTTE9okJPvOWozhtqXtnqyDLSdsLgC8mXycCnwFOK6gus763acsYax95ik1bynO5yqYtY5x3xTqe3T7BM2M7eHb7BOdesS63Gst4zLZTlnH4pwNHA3dGxHsk7Qd8q5iyzNIrY/dEWVvRG57cyqyhIZ5l4rn7Zg0NseHJrR3/7Mp6zLZTlsDfGhETknZIWgA8BhxcUF1mTU0O9zKGTGMruh6s516xjmVLFrYdqnl9qB2091y2T0zsct/2iQkO2ntu269Zry/vY7b8ZQn8VZL2Ar5CbbTOFuDWmTaQdDBwKbAftSkZViQngc0ymxzu5596BJ+85p7ShUzereg8P9T22WMOn3nLUZw76fU6/XkV+ZeD5SfLSdv3J9/+H0nXAQsiYl2LzXYAfx0Rd0iaD6yWdENE3NNmvVZRzVqQn/jBPcwa2nX+vjKETJ6t6CJazqctPZBlSxbm2g1W1F8Olq+WJ20lHTP5C3geMJJ8P62I+E1E3JF8/wxwL75Yy9pQb0E2mjUsto+XL2TqrejdZg0xf84Iu80aarsV3fS4kw+1Tms8+uC9cvtgzPOYrThpWvifb/i+cd1aJbdPSrMjSYcCLwVun3T/cmA5wOLFi9O8lFVQsxbk+ERwwRtfwievvSfX7ok85NWK7qeWcxF/OVi+FJFu7fFkauT3A6+kFvQ/B74cEc+m2HYP4KfApyLi+9M9b3R0NFatWpWqHutjEqT8vWt09ZqNU/qeT1t6YMcnNNvdvlujg6Y77tTa/Hlb/5C0OiJGWz4vQ+B/l9p0Cpcld50J7BkRZ7TYbhZwDfDjiLhopuc68CuigwDKO2TbPSHa7dFBHR23A3/gpQ38LKN0joyIIxpur5Q048lXSQK+BtzbKuzN0thnjzm5tabbPSHarSGIk0PeXSTWqSyBf4ekV0TEbQCSjgNaNceXAe8E7pK0JrnvoxHxw8yVmuWs3aGE3RiCWMbrC6z/ZQn8lwH/KunXye3FwC8l3QVERBw1eYOIuBmve2ttKrqPPOsJ0U1bxlj/6Gae3rqdbePjqbfLyhcxWVGyBP7JhVVhNkk3WrhZLkK6as1GPvS9tWwfr/WFDwlGhmDurJHcRwf5IiYrSpYLrx4ushCzum62cNMMJdy0ZYxzL1/3XNgDTASMDIlL3n4MLzlgQa519dNQTOsvqWfLtHQ8W2Dnsl5s1MnPPE230YYntzI8NLVncmRoiD3nzmKfPeZ0XEPjtr6IyYqSpUvHWvCJtnxkaeF28jNPu+1Be89lfGLqsMbxqNVURA2+iMmK4BZ+ToqeZ7xK0rZwO/mZZ9l2nz3m8NnTj2LW8M5W/sgQfPb0owEKqyHv6Q/M3MLPiU+05StNC7eTn3nWbev1rH90M6Dn+u3XPvJU12ow65QDPyc+0Za/VhcbdfIzb2fbffaYwwkv2renNZh1wl06OfGJtu6qn2w9/w1HtPUzz+v9avY657/hCDY8ubVlt45/Z6zbUs+l0w2DMJdOGZfbK50O53ZpthDKkQfs2dbPvJP3q3FbqHXR3L1x85TZO1udwC38d8Zz6Qy83CdP64ZBCHxLocPJ05ZdeCPPbt/ZFbLbrCFuOe+krn7ANhtds2zJwlLUNoUDf+ClDXx36VhfKWpBkCymG11z/frf7rpiRA9qM5uJT9paXynDic5mo2vGJ4KPXHn3lOf6JKyViQPfuu+QQ2rdDG3YB7iv2QN/10lB2RwN3JVlgy7W1tQhh/S4ACsLB75130MPZXp6s5Oaze7r5pXOjatQPbtjfJd5duo+/sYjePeywwrZv1k7HPhWGllCfPIY/W5PKdx4Ydj2HeOc/k+3TXnOK5cszH2/Zp1w4FspTDfqJW2I53HVatbhkY0fOu86fjGX3vrr5x571/GLWbLf/FT77RYPGTYHvvXcdK3zFe98WeoQ7/RkbqfdQX/7pj/kXa84lDWPPMXSg/cqXdh7Yj8DD8u0EphuqCUodYhnvWq1cUrivCa+W7LffE4fPbh0Ye+J/azOLXzruela5y85YEHqFakg3YRrMLW1+4FXL5n2Lwmg77tBPEmb1TnwredmWmqwWYjP1BfdasK1Zt1HX1r5AJOvmNo+McHdGzfz31bc2vfdIGW4dsHKwYFvpTBT67wxxDvti27W2p09PMTyE57PJTc9sHN+njccwSevvadUC4m3e9I1y9q9Ntgc+FYa7bTOs4bwdK3dM49bzJnHLX4uULvdDdIqzDv9oPMKWgYOfOsjzUJ4WGLlfY9x4uH7ph5KecbLDuLS23YOoTxj9KDntm18jckfDGPjE8ybPdxW7TMFeqswz+sag1YfqDb4PErH+kaz1vnvto3z8R+sZ9mFN3L1mo0tX2PTljG+u3rDLvd9d9WGKSNWGkf97Dar9t9EEZz6pZtT7afRVWs2suzCG3nHV2+fUmeaETRlmDDOBoMD3/pGYwg3trS3jI23HGpYH4a5/tHNqcPztKUHcs1Zr2QiWcB8bDwyD2lsFehpwtwnXS0v7tKxnsp6IrLeF73yvsf4+A/Ws2Vs/LnHputjb+wy2TY+zsSkaW9mCs/fbRtnzsgw28Z3tNxPM63OBaQJc590tbw48K1nZuq7bjX08sTD9+Vvrtp1OuJmwd2s/3tkCOaMDDF7uHV4dtq6brV92jD3SVfLQ6GBL+nrwKnAYxFxZJH7sv4y04nImx94ouWIlLRB2ayFPXfWCJe8/Rj2nDurZXh22rpOs33aMPdJV+tU0S38bwBfAi4teD/WZ6br6lj/6NOpR6SkCcqZruJNG56nLT2QI/Zf0PY8OWnqdJhbNxQa+BHxM0mHFrkP60/Ngnjb+DgPPv4Mw5MWR5mpz7xVUObR/53HxGMOdCsD9+FbT0wO4q3bdzAR8Lnr7+d328Z3eW6nI1I66f/u9jz7ZkXqeeBLWg4sB1i8eHGPq7E08ppXvR7E6x99mj+/dBVjOybYPr4z7OfNHmY8IpcRKe22sAdx4jHPi19dPQ/8iFgBrAAYHR2duk6clcpVazZy7uXrGB4S4xPBZ0/vbEKxffaYw55zZzF7eIixHTtDdd6cYT7xxpekvoJ2Op2GW6ejdMoWrp4Xv9p6HvjWPzZtGeND31u7y/qtf/29tR13bzQL1fGJmBL2WcMzr773ds8BlC1c3T1lRQ/L/A7wamChpA3ABRHxtSL3acVZ/+jmKYt1bx8P1j+6mRNetG/br5smVLOGZ57h1s45gDKG6yB2T1k2RY/SeVuRr2/Fmtqi1jTPnO7+9GYK1XbCM+9wy3oOoIzh6ikazF061tR0i4qPDEFDVzsjQ/CSAxa0vZ/JHyrNwrCd8Ox1uPV6/814igbz5Gk2xXQTfgFcdMZS5oyI3WcNM2dEXHTG0rYDY6ZZJBu1E55Z17jNWzv7b1xntyinLT2QW847iW+99zhuOe8kn7CtGLfwJynbqIpemKlFvWzJQr7yrlFAma5WnSxLN027LdNezz+TZf/dPMHri8Cqy4HfIM1/uip8IEzXos5zjdes3TTthnfacEvzvrbz3qfZfxlP8NbrGvTf9apx4CfS/Kcr2zC7ojRrUee9xmu73TRFBE+a97XI976MJ3ir8rteNe7DT7RaiCLNykSDZHJf75EH7pl51aWZ+qR73cfeWGOr97Xo975sJ3ir9rteJW7hJ1r9pytjK6wTaf5cn9yizhJKaVqIve5jh3Tva9HvfdlGz0w/k+lm9pw72108fcyBn2j1n65srbBOtPPnepZQ2rRljHMvX8fYjnQnZHsZHmne126892X48KtrdrzP7hjnzy9dxezhYXfx9DFFlGf6mtHR0Vi1alVPa5ip5Xv1mo1TAq/ffuk3bRlj2YU38uz2nf+hd5s1xC3nnZTbyc2Lf/IrLrrh/l3umz9nhG+99ziOPnivjuovQpr3dRDe+ywaj3fb+ATjExO7XH+R5XfGiidpdUSMtnqeW/iTzNTiLFMrLI1m4dxp90SrFvmmLWNcsvJXU+7fNl7ev4bSvK/99t53qvF4N2/dzgcuu4Nnxtpb19fKw4GfUa+7INKavHD3WSe+kDOPW1x498SGJ7cye3iYsR07drn/rBOXlPrnluZ97Zf3Pi/14920ZWxgujOrzqN0BtDkURZjO4LP33A/f/TpG7nlgScKHR3T7ANlzog48zivddCvyjKiyjrnPvwBtPaRp3jHV2/f5U/wunrfK1BY90TV+rurwhdilZf78CusWSu7rt73evTBexX2n7Zq/d1VUbUurUHkLp0BVP8TfM7I1GmLu9X3us8ecwr9UEmjG5ORmfUTt/AH0KYtYxyyzzyu/eCr+NHdv+VLKx9g9nBnF/T025/znhrAbCoH/oBpFnT/+uGTpl1YpGwzOeahrJORmfWau3QGyEzz2E/uXkk7F30/zqvSal4ks6py4A+QtEGXJcT7MTwHaRqMvPh8hoEDf6CkDbosIV7m8JwuxDxufFdp/5qzwec+/AGSdoKzLCFetpkc61qdV/DQ0Bqfz7BGDvwBkybosoZ42cIzbYh53PjgTettnXHgD6A0QZc1xMsUng6x9MrcJWfd5z78HuvlybQyXBzVDodYej6fYY3cwu+hfhvfXhZlPa9QVmXrkrPeqVzgl+WK0Wb90B+6fB1H7L+AJfvN71ld/cIhlk2ZuuSsdyoV+K1a1N38MGjWD71txwSnXPxzPvfWo93ST8Ehlk1ZGjvWO5UJ/FYjO7rdvTLdjJbbxsPD5npsEIPR3YcGXThpK+lkSb+U9ICkDxe9v+nMdLFRL6YPqPdDzx6Z+haU/UrWtMp2dWeaegbxIqV+nB7DilFoC1/SMHAJ8FpgA/Bvkq6OiHuK3G8zM43s6NUwv9OWHsgR+y/glIt/zrbxnQvRDMKIk7K1KNPUM6gXKXkYq9UV3cI/FnggIh6MiG3AvwBvKnifTc00PK2Xw/yW7Defz7316IEaNle2FmXaevpx3qA0PIzV6gpd4lDS6cDJEfHe5PY7geMi4qyG5ywHlic3jwTuLqwggKHhEQ3Pnh3j27YxMf7cGoBDcxfsPbJg0aEREZK04+nHH5rY+vSTOe99IfBElrr6zELgCc2au/vI3vu/SENDw/UHYmJifMeTv7k/tm/9fbeLSl3P0PDI7EWH/iHSztSPmNj2+EN3Je/J9O9fyaX8/e7b40thkI8N4MUR0XJ4X89P2kbECmAFgKRVadZl7Fc+vv7m4+tfg3xsUDu+NM8ruktnI3Bww+2DkvvMzKzLig78fwNeKOkwSbOBPwOuLnifZmbWRKFdOhGxQ9JZwI+BYeDrEbF+hk1WFFlPCfj4+puPr38N8rFByuMr9KStmZmVh2fLNDOrCAe+mVlFlC7wJX1S0jpJayRdL+mAXteUJ0mflXRfcoxXStqr1zXlSdJbJa2XNCFpIIbBlWV6kKJI+rqkxyQVew1MD0g6WNJKSfckv5dn97qmPEnaTdIvJK1Nju8TMz6/bH34khZExNPJ938JHBER7+txWbmR9DrgxuSE9oUAEXFej8vKjaQ/ACaAfwI+FBGpxgeXVTI9yP00TA8CvK0X04MURdIJwBbg0og4stf15EnS/sD+EXGHpPnAauDNg/L+SRIwLyK2SJoF3AycHRG3NXt+6Vr49bBPzAPK9YnUoYi4PiLqV9LeRu3ahIEREfdGxC97XUeOSjM9SFEi4mfAf/a6jiJExG8i4o7k+2eAe4GBmSY0arYkN2clX9NmZukCH0DSpyQ9Arwd+F+9rqdA/x34Ua+LsBkdCDzScHsDAxQYVSLpUOClwO09LiVXkoYlrQEeA26IiGmPryeBL+n/Sbq7ydebACLiYxFxMHAZcNbMr1Y+rY4vec7HgB3UjrGvpDk+szKRtAdwBXDOpF6EvhcR4xGxlFpvwbGSpu2W68lcOhHxJymfehnwQ+CCAsvJXavjk/Ru4FTgNVG2kygpZHj/BoGnB+lzSd/2FcBlEfH9XtdTlIh4StJK4GSmmYSydF06kl7YcPNNwH29qqUIkk4GzgVOi4iuzxxpmXl6kD6WnNT8GnBvRFzU63ryJmlRfaSfpLnUBhdMm5llHKVzBfBiaiM9HgbeFxED06KS9AAwB9iU3HXbgI1C+i/AF4FFwFPAmoh4fU+L6pCkU4B/YOf0IJ/qbUX5kvQd4NXUphD+D+CCiPhaT4vKiaRXAj8H7oLnVoD5aET8sHdV5UfSUcA3qf1uDgHfjYi/nfb5ZQt8MzMrRum6dMzMrBgOfDOzinDgm5lVhAPfzKwiHPhmZhXhwDczqwgHvvUtSTe1moJZ0jmSdi/q9Tsh6QBJl/di31ZNDnwbdOcAbQV+0SLi0Yg4vdd1WHU48K30JB2aLBpzmaR7JV0+udUu6cuSVjUuApGsp3AAsDKZYwRJr5N0q6Q7JH0vmVQrTQ1vk3RXMknchQ33n5y81lpJP5lh+z9OFvVZI+lOSfOT47o7eXyupH9Jju9KYG7Dtm3VbDaZA9/6xYuBf4yIPwCeBt4/6fGPRcQocBTwx5KOioiLgUeBEyPiREkLgb8B/iQijgFWAX/Vaseqrbp2IXASsBR4uaQ3S1oEfAV4S0QcDbx1hpf5EPCBZFbDVwFbJz3+P4DfJ8d3AfCyZN9t1WzWTE9myzRrwyMRcUvy/beAv5z0+BmSllP7nd4fOAJYN+k5r0juv6U2pxazgVtT7PvlwE0R8TiApMuAE4Bx4GcR8e8AETHTIiK3ABcl234/IjYkNdSdAFycvM46SfXa263ZbAoHvvWLyZM+PXdb0mHUWtAvj4gnJX0D2K3Ja4jaAhFvK6zKaUTEpyVdC5xCLbxfDzybYtOe1WyDx1061i8WSzo++f5Mamt31i0AfgdslrQf8KcNjz0DzE++vw1YJmkJgKR5kl6UYt+/oNZNtFC1NW7fBvw0eb0Tkg8cJD1vuheQ9IKIuCsiLqQ25fLhk57ys+S4SBawOKrDms2mcOBbv/gl8AFJ9wJ7A1+uPxARa4E7qc0D/m1q3Sd1K4DrJK1MumTeDXwn6TK5lanBO0VE/Ab4MLASWAusjoirktdbDnxf0lrg/87wMuckJ3zXAduZurTll4E9kuP7W2qLbdNuzWbNeHpkKz3V1iK9JiKmXbrNzFpzC9/MrCLcwrfKS8a9Hzbp7vMi4sdtvNZ7gLMn3X1LRHyg3frM8uLANzOrCHfpmJlVhAPfzKwiHPhmZhXhwDczq4j/D+YRLjKPJSCwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Curveball at (2.2, 2.8)\n",
      "Curveball clean rate: 0.25\n",
      "Curveball whiff rate: 0.125\n",
      "Curveball whiffs: 1\n",
      "Curveball called strikes: 2\n",
      "Curveball swings: 8\n",
      "Curveball strikes: 6\n",
      "Curveball chances: 12\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAELCAYAAADawD2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAVIUlEQVR4nO3dfZBldX3n8fdnhuEZAkhrycMA8QHDWojQooSEBIyKhKAbNRVMrNJ9mLgxBjabAhPXZRPXbMDSCriJLq5GLQeSrEBpgaKsGcLCAmYGZkZgNGsRENAND/I0EcaB+e4f97Q2PT3d93bf07e7z/tVdWvuOfec8/uemqnPnPqd3/mdVBWSpOVvxagLkCQtDANfkjrCwJekjjDwJakjDHxJ6ggDX5I6ovXAT3JAki8k+VaSLUlOartNSdLOdluANi4Grq2qtybZHdh7AdqUJE2RNh+8SvJTwEbgp8snvCRppNq+wj8KeAj4yySvADYA51TVP09skGQNsAZgn332OeFlL3tZyyVJ0vKyYcOGh6tqbLbt2r7CHwduAU6uqluTXAw8UVUfmG778fHxWr9+fWv1SNJylGRDVY3Ptl3bN23vB+6vqlub5S8Ax7fcpiRpGq0GflX9P+C+JEc3q14L3NVmm5Kk6S3EKJ33AmubETp3A+9agDYlSVO0HvhVtRGYtW9JktQun7SVpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeqI3dpuIMk9wJPAs8AzVTXedpuSpJ21HviNU6vq4QVqS5I0Dbt0JKkjFiLwC/hakg1J1ixAe5KkaSxEl87PVdUDSZ4PXJfkW1V1w8SPzX8CawBWr169AOVIUje1foVfVQ80fz4IXAWcOOX3S6tqvKrGx8bG2i5Hkjqr1cBPsk+S/Sa+A68H7mizTUnS9Nru0nkBcFWSibYuq6prW25TkjSNVgO/qu4GXtFmG5Kk/jgsU5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOMPAlqSMMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeqIBQn8JCuT3J7k6oVoT5K0s74DP8nb+lm3C+cAW/ptS5I0fINc4f9Bn+ueI8lhwC8D/2OAtiRJQ7bbbBskeSNwBnBokksm/bQ/8EwfbfwZcB6w3y6OvwZYA7B69eo+DidJmot+rvC/B6wHngY2TPp8CXjDTDsmORN4sKo27Gqbqrq0qsaranxsbKzvwiVJg5n1Cr+qNgGbklxWVdsHPP7JwFlJzgD2BPZP8vmq+s051CpJmodB+vBPTHJdkn9IcneSf0xy90w7VNUfVNVhVXUk8OvA3xr2kjQas17hT/Ip4N/T6855tp1yJEltGSTwH6+qr8y1oaq6Hrh+rvtLkuann1E6xzdf1yX5MHAlsG3i96q6raXaJElD1M8V/kemLI9P+l7AacMrR5LUln5G6Zy6EIVIktrVdx9+kt+bZvXjwIaq2ji0iiRJrRhkWOY48G7g0ObzW8DpwCeTnNdCbZKkIRpklM5hwPFVtRUgyQXANcAp9IZqXjT88iRJwzJI4D+fSaNzgO3AC6rqqSTbdrGPtLMjj4R77x11Fd1xxBFwzz2jrkKLwCCBvxa4NckXm+VfAS5Lsg9w19Ar0/J1771QNeoquiMZdQVaJPoO/Kr6YJKv0JsfB+DdVbW++f4bQ69MkjRU/Tx4tX9VPZHkIODu5jPx20FV9YM2C5QkDUc/V/iXAWfSuzFbQKb8+dOtVSdJGpp+Hrw6s/nzqPbLkSS1ZZB32ibJbyb5QLO8OsmJ7ZUmSRqmQR68+gvgJODtzfKTwJ8PvSJJUisGGZb56qo6PsntAFX1aJLdW6pLkjRkg1zhb0+ykt6NWpKMATtaqUqSNHSDBP4lwFXA85N8CLgR+JNWqpIkDd0gD16tTbIBeC29IZlvrqotrVUmSRqqQfrwAf4v8MTEfklWV9V3h16VJGnoBpkP/73ABcA/0XuJ+cSDV8e2U5okaZgGucI/Bzi6qh5pqxhJUnsGuWl7H703XEmSlqB+Jk+beLXh3cD1Sa5h0rz4VfXRlmqTJA1RP106+zV/frf57N58JElLSD+Tp/1RPwdK8rGqeu/8S5IktWGQPvzZnDz7JpKkURlm4EuSFrFWAz/Jnkm+kWRTkjuT9NU9JEkavkGftJ3JdG9K3gacVlVbk6wCbkzylaq6ZYjtSpL6MMzAv3jqiqoqYGuzuKr51BDblCT1aZA3Xl2X5IBJywcm+erEclV9Zhf7rUyyEXgQuK6qbp3y+5ok65Osf+ihhwYsX5LUr0H68A+uqscmFqrqUeD5s+1UVc9W1XHAYcCJSV4+5fdLq2q8qsbHxsYGKEeSNIhBAn9HktUTC0mOYIDumeY/i3XA6QO0KUkakkH68N9P76br39G7QfvzwJqZdmjeirW9qh5LshfwOuDCuRYrSZq7QV6Acm2S44HXNKvOraqHZ9nthcBnm1cjrgD+pqqunlupkqT5GHSUzs8Cp0xanjG8q2oz8MpBi5Ie2bqN+x99isMO3Ivn7bvHqMuRloVBXoDyp8CrgLXNqnOS/GxV/WErlamzvrjxAc6/YjOrVqxg+44dXPSWYznruENHXZa05A1yhX8GcFxV7QBI8lngdsDA19A8snUb51+xmae37+BpdgBw3hWbOfnFB3ulL83ToFMrHDDp+08NsQ4JgPsffYpVK577z3LVihXc/+hTI6pIWj4GucL/r8DtSdbRG6VzCvC+VqpSZx124F5s37HjOeu279jBYQfuNaKKpOWj7yv8qrqc3gidK4ErgJOq6q/bKkzd9Lx99+CitxzLnqtWsN8eu7HnqhVc9JZjO9Od88jWbWy67zEe2bpt9o07VIuGo59XHB4/ZdX9zZ+HJDmkqm4bflnqsrOOO5STX3xw50bpLKab1YupFg1PP106H5nhtwJOG1It0o89b989OhP0sLhuVi+mWjRc/bzi8NR+DpTkdVV13fxLkrpn4mb1RMDCT25WL3TI3vm9x1mR5852PqpaNFzDfAGKUyZIc7RYblZ/ceMD/NvPreeHP3p25LVo+IYZ+NO9AEVSHxbDzeqJrpxtzzx3TsTdV4YPnHmMV/fLwDBfgOKLTbRszGdqh7nuO/VmNcCm+x5bsBvX03UrAaxcET549V3st8du3rhd4oYZ+NKyMJ8RKvMd3TJxs3oUo2Sm61YCeGq7N26Xi2F26dwzxGNJIzF5hMqT257h6e07OO+KzX2NRZ/Pvm0cZ1CTu5X2XrVyp9994nnpG+QVh3sn+UCSTzbLL0ly5sTvVfWrbRQoLaT5TO0wrGkhRjm9xFnHHcpN55/GJ95xAnvs9twavHG79A1yhf+XwDbgpGb5AeC/DL0iaYTmM1pmWCNtRj1i53n77sEpLx3jw2/t7hPPy9Uggf+iqroI2A5QVT/EkTmaxlJ+JH8+o2WGNdJmMYzYgZ9c7X/+37yam84/ra97CEv5774LBrlp+6PmNYUFkORF9K74pR8b5s3GUb0EZT5TOwxrWojFMr3EIE88Ox3D4jdI4P9n4Frg8CRrgZOBd7VRlJamYT6SP+rwmM/UDsOaFmIpTS/hdAxLwyCzZX4N+FXgncDlwHhVrWupLi1BMz2SP4hRjVLR3Pkeg6VhkFE6X6+qR6rqmqq6uqoeTvL1NovT0jHMR/INj6Vn1Dea1Z9ZAz/JnkkOAg5OcmCSg5rPkYAddNrlI/l77Da3m42Gx9KzWG40a2b99OH/FnAucAiwgZ+MzHkC+G/tlKWlZLpH8vdetZJPvOMETnnp2MDHmwiP86b04Rsei9tiudGsXetneuSLgYuTvLeqPrYANWmJme6KfAfFvzhk/zkf0/BYmpbSjeYu6nuUTlV9LMnLgWOAPSet/1wbhWnpaOuK3PCQhqvvwE9yAfCL9AL/y8AbgRsBA19ekUtLwCDj8N8KvAK4vareleQFwOfbKUtLkVfk0uI2yNQKT1XVDuCZJPsDDwKHt1OWJGnYBgn89UkOAD5Jb7TObcDNM+2Q5PAk65LcleTOJOfMvVRJ0nwMctP2t5uvn0hyLbB/VW2eZbdngP9QVbcl2Q/YkOS6qrprjvVKkuZo1sBPcvxMv1XVbbv6vaq+D3y/+f5kki30HtYy8CVpgfVzhf+RSd8nP0qZZvm0fhpqnsx9JXDrlPVrgDUAq1ev7udQkqQ5mLUPv6pOrapTgTOAa4DHgceALzXrZpVkX+AK4NyqemLK8S+tqvGqGh8bG/ypTElSfwYZlvlZetMpXNIsv53eGPxfm2mnJKvohf3aqrpyLkVKkuZvkMB/eVUdM2l5XZIZ++KTBPgUsKWqPjqXAiVJwzHIsMzbkrxmYiHJq4H1s+xzMvAO4LQkG5tPX91AkqThGuQK/wTg/yT5brO8Gvh2km8CVVXHTt2hqm7E995K0qIwSOCf3loVkqTWDfLg1b1tFiJJatcgffiSpCXMwJekjjDwJakjDHxJ6ggDX5I6wsCXpI4w8CWpIwx8SeoIA1+SOsLAl6SOGGQuHWk4jjgC4px6C+aII0ZdgRYJA18L7557Rl2B1El26UhSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSR7Qa+Ek+neTBJHe02Y4kaXZtX+F/Bji95TYkSX1oNfCr6gbgB222IUnqj334ktQRIw/8JGuSrE+y/qGHHhp1OZK0bI088Kvq0qoar6rxsbGxUZcjScvWyANfkrQw2h6WeTlwM3B0kvuT/Os225Mk7dpubR68qs5u8/iSpP7ZpSNJHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1hIEvSR1h4EtSRxj4ktQRBr4kdYSBL0kdYeBLUkcY+JLUEQa+JHWEgS9JHWHgS1JHGPiS1BEGviR1ROuBn+T0JN9O8p0k72u7PUnS9FoN/CQrgT8H3ggcA5yd5Jg225QkTa/tK/wTge9U1d1V9SPgr4A3tdymJGkau7V8/EOB+yYt3w+8evIGSdYAa5rFbUnuaLmmUToYeHjURbTI81valvP5LedzAzi6n43aDvxZVdWlwKUASdZX1fiIS2qN57e0eX5L13I+N+idXz/btd2l8wBw+KTlw5p1kqQF1nbg/z3wkiRHJdkd+HXgSy23KUmaRqtdOlX1TJLfAb4KrAQ+XVV3zrDLpW3Wswh4fkub57d0Ledzgz7PL1XVdiGSpEXAJ20lqSMMfEnqiEUX+Ek+mGRzko1JvpbkkFHXNExJPpzkW805XpXkgFHXNExJ3pbkziQ7kiyLYXDLfXqQJJ9O8uByfAYmyeFJ1iW5q/l3ec6oaxqmJHsm+UaSTc35/dGM2y+2Pvwk+1fVE8333wWOqap3j7isoUnyeuBvmxvaFwJU1fkjLmtokvwMsAP478DvV1Vf44MXq2Z6kH8AXkfvwcG/B86uqrtGWtgQJTkF2Ap8rqpePup6hinJC4EXVtVtSfYDNgBvXi5/f0kC7FNVW5OsAm4EzqmqW6bbftFd4U+EfWMfYHH9jzRPVfW1qnqmWbyF3rMJy0ZVbamqb4+6jiFa9tODVNUNwA9GXUcbqur7VXVb8/1JYAu9GQCWherZ2iyuaj67zMxFF/gAST6U5D7gN4D/NOp6WvSvgK+MugjNaLrpQZZNYHRJkiOBVwK3jriUoUqyMslG4EHguqra5fmNJPCT/K8kd0zzeRNAVb2/qg4H1gK/M4oa52O282u2eT/wDL1zXFL6OT9pMUmyL3AFcO6UXoQlr6qerarj6PUWnJhkl91yI5lLp6p+qc9N1wJfBi5osZyhm+38krwTOBN4bS22myh9GODvbzlwepAlrunbvgJYW1VXjrqetlTVY0nWAacD096AX3RdOkleMmnxTcC3RlVLG5KcDpwHnFVVPxx1PZqV04MsYc1NzU8BW6rqo6OuZ9iSjE2M9EuyF73BBbvMzMU4SucKelN97gDuBd5dVcvmiirJd4A9gEeaVbcss1FI/xL4GDAGPAZsrKo3jLSoeUpyBvBn/GR6kA+NtqLhSnI58Iv0phD+J+CCqvrUSIsakiQ/B/xv4Jv0MgXgD6vqy6OraniSHAt8lt6/zRXA31TVH+9y+8UW+JKkdiy6Lh1JUjsMfEnqCANfkjrCwJekjjDwJakjDHxJ6ggDX0tWkutnm4I5yblJ9m7r+POR5JAkXxhF2+omA1/L3bnAnAK/bVX1vap666jrUHcY+Fr0khzZvDRmbZItSb4w9ao9yceTrJ/8EojmfQqHAOuaOUZI8vokNye5Lcn/bCbV6qeGs5N8s5kk7sJJ609vjrUpyddn2P8Xmpf6bExye5L9mvO6o/l9ryR/1ZzfVcBek/adU83SVAa+loqjgb+oqp8BngB+e8rv76+qceBY4BeSHFtVlwDfA06tqlOTHAz8R+CXqup4YD3we7M1nN5b1y4ETgOOA16V5M1JxoBPAm+pqlcAb5vhML8PvKeZ1fDngaem/P7vgB8253cBcELT9pxqlqYzktkypTm4r6puar5/HvjdKb//WpI19P5NvxA4Btg8ZZvXNOtv6s2pxe7AzX20/Srg+qp6CCDJWuAU4Fnghqr6R4CqmuklIjcBH232vbKq7m9qmHAKcElznM1JJmqfa83STgx8LRVTJ3368XKSo+hdQb+qqh5N8hlgz2mOEXoviDi7tSp3oar+NMk1wBn0wvsNwNN97DqymrX82KWjpWJ1kpOa72+n9+7OCfsD/ww8nuQFwBsn/fYksF/z/Rbg5CQvBkiyT5KX9tH2N+h1Ex2c3jtuzwb+rjneKc1/OCQ5aFcHSPKiqvpmVV1Ib8rll03Z5IbmvGheYHHsPGuWdmLga6n4NvCeJFuAA4GPT/xQVZuA2+nNA34Zve6TCZcC1yZZ13TJvBO4vOkyuZmdg3cnVfV94H3AOmATsKGqvtgcbw1wZZJNwF/PcJhzmxu+m4Ht7Pxqy48D+zbn98f0XrbNXGuWpuP0yFr00nsX6dVVtctXt0manVf4ktQRXuGr85px70dNWX1+VX11Dsd6F3DOlNU3VdV75lqfNCwGviR1hF06ktQRBr4kdYSBL0kdYeBLUkf8fwZ/GEhqLcHMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Curveball at (2.8, 100)\n",
      "Curveball clean rate: 0.1\n",
      "Curveball whiff rate: 0.0\n",
      "Curveball whiffs: 0\n",
      "Curveball called strikes: 1\n",
      "Curveball swings: 1\n",
      "Curveball strikes: 1\n",
      "Curveball chances: 10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Curveball by height: {(-100, 2.2): 0.8018018018018018, (2.2, 2.8): 0.10810810810810811, (2.8, 100): 0.09009009009009009}\n"
     ]
    }
   ],
   "source": [
    "# look at 2-strike pitches exclusively\n",
    "heights = [(-100, 2.2), (2.2, 2.8), (2.8, 100)]\n",
    "whiff_by_height(['Fastball', 'ChangeUp', 'Slider', 'Curveball'], df_2str, heights, putaway=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The slider and change both have better whiff rates in the middle of the zone than the fastball (2x). Clean rate is better too. Possible that if Joe needs to throw a strike, he should throw one of these with higher frequency.\n",
    "\n",
    "Curve down is killer; Curve middle and up doesn't get as many whiffs but gets many called strikes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (-100, 2.2)\n",
      "Fastball clean rate: 0.30132450331125826\n",
      "Fastball whiff rate: 0.07407407407407407\n",
      "Fastball whiffs: 8\n",
      "Fastball called strikes: 83\n",
      "Fastball swings: 108\n",
      "Fastball strikes: 159\n",
      "Fastball chances: 302\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (2.2, 2.8)\n",
      "Fastball clean rate: 0.30340557275541796\n",
      "Fastball whiff rate: 0.10309278350515463\n",
      "Fastball whiffs: 20\n",
      "Fastball called strikes: 78\n",
      "Fastball swings: 194\n",
      "Fastball strikes: 238\n",
      "Fastball chances: 323\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Fastball at (2.8, 100)\n",
      "Fastball clean rate: 0.2172211350293542\n",
      "Fastball whiff rate: 0.23673469387755103\n",
      "Fastball whiffs: 58\n",
      "Fastball called strikes: 53\n",
      "Fastball swings: 245\n",
      "Fastball strikes: 279\n",
      "Fastball chances: 511\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Fastball by height: {(-100, 2.2): 0.2658450704225352, (2.2, 2.8): 0.28433098591549294, (2.8, 100): 0.4498239436619718}\n",
      "\n",
      "INFO FOR ChangeUp at (-100, 2.2)\n",
      "ChangeUp clean rate: 0.3155737704918033\n",
      "ChangeUp whiff rate: 0.45384615384615384\n",
      "ChangeUp whiffs: 59\n",
      "ChangeUp called strikes: 18\n",
      "ChangeUp swings: 130\n",
      "ChangeUp strikes: 70\n",
      "ChangeUp chances: 244\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR ChangeUp at (2.2, 2.8)\n",
      "ChangeUp clean rate: 0.2972972972972973\n",
      "ChangeUp whiff rate: 0.18181818181818182\n",
      "ChangeUp whiffs: 8\n",
      "ChangeUp called strikes: 14\n",
      "ChangeUp swings: 44\n",
      "ChangeUp strikes: 51\n",
      "ChangeUp chances: 74\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR ChangeUp at (2.8, 100)\n",
      "ChangeUp clean rate: 0.15789473684210525\n",
      "ChangeUp whiff rate: 0.3\n",
      "ChangeUp whiffs: 3\n",
      "ChangeUp called strikes: 6\n",
      "ChangeUp swings: 10\n",
      "ChangeUp strikes: 12\n",
      "ChangeUp chances: 57\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for ChangeUp by height: {(-100, 2.2): 0.6506666666666666, (2.2, 2.8): 0.19733333333333333, (2.8, 100): 0.152}\n",
      "\n",
      "INFO FOR Slider at (-100, 2.2)\n",
      "Slider clean rate: 0.2804878048780488\n",
      "Slider whiff rate: 0.4931506849315068\n",
      "Slider whiffs: 36\n",
      "Slider called strikes: 10\n",
      "Slider swings: 73\n",
      "Slider strikes: 41\n",
      "Slider chances: 164\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Slider at (2.2, 2.8)\n",
      "Slider clean rate: 0.40425531914893614\n",
      "Slider whiff rate: 0.14285714285714285\n",
      "Slider whiffs: 4\n",
      "Slider called strikes: 15\n",
      "Slider swings: 28\n",
      "Slider strikes: 35\n",
      "Slider chances: 47\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Slider at (2.8, 100)\n",
      "Slider clean rate: 0.3333333333333333\n",
      "Slider whiff rate: 0.2727272727272727\n",
      "Slider whiffs: 3\n",
      "Slider called strikes: 5\n",
      "Slider swings: 11\n",
      "Slider strikes: 15\n",
      "Slider chances: 24\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Slider by height: {(-100, 2.2): 0.6978723404255319, (2.2, 2.8): 0.2, (2.8, 100): 0.10212765957446808}\n",
      "\n",
      "INFO FOR Curveball at (-100, 2.2)\n",
      "Curveball clean rate: 0.3349282296650718\n",
      "Curveball whiff rate: 0.5769230769230769\n",
      "Curveball whiffs: 45\n",
      "Curveball called strikes: 25\n",
      "Curveball swings: 78\n",
      "Curveball strikes: 44\n",
      "Curveball chances: 209\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Curveball at (2.2, 2.8)\n",
      "Curveball clean rate: 0.46875\n",
      "Curveball whiff rate: 0.18181818181818182\n",
      "Curveball whiffs: 2\n",
      "Curveball called strikes: 13\n",
      "Curveball swings: 11\n",
      "Curveball strikes: 18\n",
      "Curveball chances: 32\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "INFO FOR Curveball at (2.8, 100)\n",
      "Curveball clean rate: 0.19444444444444445\n",
      "Curveball whiff rate: 0.0\n",
      "Curveball whiffs: 0\n",
      "Curveball called strikes: 7\n",
      "Curveball swings: 2\n",
      "Curveball strikes: 10\n",
      "Curveball chances: 36\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies for Curveball by height: {(-100, 2.2): 0.7545126353790613, (2.2, 2.8): 0.11552346570397112, (2.8, 100): 0.1299638989169675}\n"
     ]
    }
   ],
   "source": [
    "# look at all pitches\n",
    "heights = [(-100, 2.2), (2.2, 2.8), (2.8, 100)]\n",
    "whiff_by_height(['Fastball', 'ChangeUp', 'Slider', 'Curveball'], df, heights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}