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@warenlg
Last active July 17, 2019 13:18
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Style-analyzer evaluation report"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How well the analyzer is able to fix random style mistakes in a repository ?\n",
"https://github.com/warenlg/jquery/tree/style-noise-1-per-file"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Numerical results"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def process_output(precision, recall, coeff):\n",
" prec, rec, sizes = [precision[0]], [recall[0]], [1]\n",
" for i, (p, r) in enumerate(zip(precision[1:], recall[1:])):\n",
" if p == prec[-1] and r == rec[-1]:\n",
" sizes[-1] += 1\n",
" else:\n",
" prec.append(p)\n",
" rec.append(r)\n",
" sizes.append(1)\n",
" \n",
" sizes = [s*coeff for s in sizes]\n",
" assert len(prec) == len(rec)\n",
" assert len(prec) == len(sizes)\n",
" return prec, rec, sizes"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# rules sorted by confidence : 76 rules\n",
"recall_x0 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.167, 0.175, 0.175, 0.175, 0.224, 0.224, 0.224, 0.224, 0.224, 0.224, 0.235, 0.235, 0.238, 0.238, 0.238, 0.241, 0.241, 0.241, 0.241, 0.253, 0.253, 0.272, 0.272, 0.272, 0.272, 0.272, 0.275, 0.275, 0.275, 0.275, 0.278, 0.278, 0.278, 0.278, 0.278, 0.282, 0.282, 0.282, 0.282, 0.282, 0.282, 0.282, 0.286]\n",
"precision_y0 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.9, 0.72, 0.72, 0.72, 0.432, 0.432, 0.432, 0.432, 0.432, 0.432, 0.444, 0.444, 0.435, 0.435, 0.435, 0.426, 0.426, 0.426, 0.426, 0.438, 0.438, 0.431, 0.431, 0.431, 0.431, 0.431, 0.423, 0.423, 0.423, 0.423, 0.415, 0.415, 0.415, 0.415, 0.415, 0.407, 0.407, 0.407, 0.407, 0.407, 0.407, 0.407, 0.4]\n",
"y0, x0, sizes0 = process_output(precision_y0, recall_x0, coeff=200)\n",
"\n",
"# rules sorted by confidence and 50 support threshold : 52 rules\n",
"precision_y50 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.889, 0.9, 0.72, 0.72, 0.72, 0.432, 0.432, 0.432, 0.432, 0.432, 0.444, 0.444, 0.435, 0.447, 0.44, 0.44, 0.431, 0.431, 0.431, 0.431, 0.423, 0.423, 0.423, 0.415, 0.415, 0.415, 0.407]\n",
"recall_x50 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.148, 0.167, 0.175, 0.175, 0.175, 0.224, 0.224, 0.224, 0.224, 0.224, 0.235, 0.235, 0.238, 0.25, 0.268, 0.268, 0.272, 0.272, 0.272, 0.272, 0.275, 0.275, 0.275, 0.278, 0.278, 0.278, 0.282]\n",
"y50, x50, sizes50 = process_output(precision_y50, recall_x50, coeff=200)\n",
"\n",
"# rules sorted by confidence and 100 support threshold : 40 rules\n",
"precision_y100 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.947, 0.75, 0.75, 0.75, 0.442, 0.442, 0.442, 0.442, 0.442, 0.432, 0.444, 0.438, 0.438, 0.438, 0.438, 0.429, 0.429, 0.429]\n",
"recall_x100 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.165, 0.173, 0.173, 0.173, 0.221, 0.221, 0.221, 0.221, 0.221, 0.224, 0.235, 0.253, 0.253, 0.253, 0.253, 0.256, 0.256, 0.256]\n",
"y100, x100, sizes100 = process_output(precision_y100, recall_x100, coeff=200)\n",
"\n",
"# rules sorted by confidence and 150 support threshold : 32 rules\n",
"precision_y150 = [0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.947, 0.75, 0.75, 0.75, 0.442, 0.442, 0.455, 0.447, 0.447, 0.447, 0.447, 0.438, 0.438, 0.438]\n",
"recall_x150 = [0, 0, 0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.165, 0.173, 0.173, 0.173, 0.221, 0.221, 0.233, 0.25, 0.25, 0.25, 0.25, 0.253, 0.253, 0.253]\n",
"y150, x150, sizes150 = process_output(precision_y150, recall_x150, coeff=200)\n",
"\n",
"# rules sorted by confidence and 200 support threshold : 30 rules\n",
"precision_y200 = [0, 0, 0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.947, 0.75, 0.75, 0.75, 0.442, 0.442, 0.435, 0.435, 0.435, 0.435, 0.426, 0.426]\n",
"recall_x200 = [0, 0, 0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.165, 0.173, 0.173, 0.173, 0.221, 0.221, 0.238, 0.238, 0.238, 0.238, 0.241, 0.241]\n",
"y200, x200, sizes200 = process_output(precision_y200, recall_x200, coeff=200)\n",
"\n",
"# rules sorted by confidence and 250 support threshold : 22 rules\n",
"precision_y250 = [0, 0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.947, 0.947, 0.5, 0.5, 0.488, 0.488, 0.488, 0.476]\n",
"recall_x250 = [0, 0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.165, 0.165, 0.209, 0.209, 0.225, 0.225, 0.225, 0.227]\n",
"y250, x250, sizes250 = process_output(precision_y250, recall_x250, coeff=200)\n",
"\n",
"# rules sorted by confidence and 300 support threshold : 20 rules\n",
"precision_y300 = [0, 0, 0, 0, 0, 1.0, 0.941, 0.941, 0.941, 0.941, 0.941, 0.941, 0.947, 0.947, 0.5, 0.5, 0.488, 0.488, 0.488, 0.476]\n",
"recall_x300 = [0, 0, 0, 0, 0, 0.091, 0.147, 0.147, 0.147, 0.147, 0.147, 0.147, 0.165, 0.165, 0.209, 0.209, 0.225, 0.225, 0.225, 0.227]\n",
"y300, x300, sizes300 = process_output(precision_y300, recall_x300, coeff=200)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"y0[0] = 1\n",
"y50[0] = 1\n",
"y100[0] = 1\n",
"y150[0] = 1\n",
"y200[0] = 1\n",
"y250[0] = 1\n",
"y300[0] = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualization - Precision / Recall curves"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. Sorting the rules by confidence"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(15, 10))\n",
"ax = subplot(111)\n",
"\n",
"ax.margins(0.05)\n",
"ax.plot(x0, y0, marker='x', linestyle='--', label=\"support > 0 ; 76 rules\")\n",
"\n",
"ax.set_ylabel(\"precision\", fontsize=17, labelpad=15)\n",
"ax.set_xlabel(\"recall\", fontsize=17, labelpad=15)\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"handles, labels = ax.get_legend_handles_labels()\n",
"legend(handles[::-1], labels[::-1], markerscale=1.5, loc=\"lower left\", fontsize=15, bbox_to_anchor=(0.1,0.1))\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Sorting the rules by precision"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x00 = [0.0, 0.091, 0.109, 0.118, 0.127, 0.183, 0.196, 0.247, 0.25, 0.265, 0.268, 0.272, 0.275, 0.278, 0.282, 0.286]\n",
"y00 = [1.0, 1.0, 1.0, 1.0, 1.0, 0.952, 0.875, 0.512, 0.5, 0.449, 0.44, 0.431, 0.423, 0.415, 0.407, 0.4]\n",
" \n",
"figure(figsize=(15, 10))\n",
"ax = subplot(111)\n",
"\n",
"ax.margins(0.05)\n",
"ax.plot(x00, y00, marker='x', linestyle='--', label=\"sorted by precision\")\n",
"ax.plot(x0, y0, marker='x', linestyle='--', label=\"sorted by confidence\")\n",
"\n",
"ax.set_ylabel(\"precision\", fontsize=17, labelpad=15)\n",
"ax.set_xlabel(\"recall\", fontsize=17, labelpad=15)\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"handles, labels = ax.get_legend_handles_labels()\n",
"legend(handles[::-1], labels[::-1], markerscale=1.5, loc=\"lower left\", fontsize=15, bbox_to_anchor=(0.1,0.1))\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Adding support threshold "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(15, 10))\n",
"ax = subplot(111)\n",
"\n",
"ax.margins(0.05)\n",
"ax.plot(x0, y0, marker='x', linestyle='--', label=\"support > 0 ; 76 rules\")\n",
"ax.plot(x50, y50, marker='x', linestyle='--', label=\"support > 50 ; 52 rules\")\n",
"ax.plot(x100, y100, marker='x', linestyle='--', label=\"support > 100 ; 40 rules\")\n",
"ax.plot(x150, y150, marker='x', linestyle='--', label=\"support > 150 ; 32 rules\")\n",
"ax.plot(x200, y200, marker='x', linestyle='--', label=\"support > 200 ; 30 rules\")\n",
"ax.plot(x250, y250, marker='x', linestyle='--', label=\"support > 250 ; 22 rules\")\n",
"ax.plot(x300, y300, marker='x', linestyle='--', label=\"support > 300 ; 20 rules\")\n",
"\n",
"ax.set_ylabel(\"precision\", fontsize=17, labelpad=15)\n",
"ax.set_xlabel(\"recall\", fontsize=17, labelpad=15)\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"handles, labels = ax.get_legend_handles_labels()\n",
"legend(handles[::-1], labels[::-1], markerscale=1.5, loc=\"lower left\", fontsize=15, bbox_to_anchor=(0.1,0.1))\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Distribution of the rules on the PR curve"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(15, 10))\n",
"ax = subplot(111)\n",
"\n",
"ax.scatter(x0, y0, s=sizes0, facecolors='none', edgecolors='b', linewidths=3, alpha=0.5)\n",
"ax.plot(x0, y0, linestyle=\"--\", label=\"support > 0 ; 76 rules\")\n",
"ax.scatter(x300, y300, s=sizes300, facecolors='none', edgecolors='orange', linewidths=3, alpha=0.7)\n",
"ax.plot(x300, y300, linestyle=\"--\", label=\"support > 300 ; 20 rules\")\n",
"\n",
"ax.annotate(\"10\", (-0.005, 0.94), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"5\", (0.005, 1.05), size=15, ha=\"center\", va=\"center\", color=\"orange\")\n",
"\n",
"ax.annotate(\"17\", (0.137, 0.83), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"2\", (0.175, 0.97), size=15, ha=\"center\", va=\"center\", color=\"orange\")\n",
"\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"ax.set_ylabel(\"precision\", fontsize=15, labelpad=15)\n",
"ax.set_xlabel(\"recall\", fontsize=15, labelpad=15)\n",
"\n",
"handles, labels = ax.get_legend_handles_labels()\n",
"legend(handles, labels, markerscale=1.5, loc=\"lower left\", fontsize=15, bbox_to_anchor=(0.1,0.1))\n",
"\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Rules distribution by precision"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from collections import defaultdict\n",
"\n",
"def process_output2(precision, recall, coeff):\n",
" siz, prec, rec = [], [], []\n",
" sizes = defaultdict(int)\n",
" for p, r in zip(precision, recall):\n",
" sizes[(p, r)] += 1\n",
" for k, v in sizes.items():\n",
" siz.append(v)\n",
" prec.append(k[0])\n",
" rec.append(k[1])\n",
" \n",
" siz = [s*coeff for s in siz]\n",
" assert len(prec) == len(rec)\n",
" assert len(prec) == len(siz)\n",
" return prec, rec, siz"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"#recall_x = [ 0.091, 0.055, 0.0, 0.018, 0.0, 0.011, 0.009, 0.0, 0.0, 0.009, 0.009, 0.0, 0.0, 0.0, 0.0]\n",
"#precision_y = [1.0, 0.857, 0.0, 1.0, 0.0, 0.053, 1.0, 0.0, 0.0, 1.0, 0.333, 0.0, 0.0, 0.0, 0.0]\n",
"recall_x = [ 0.091, 0.055, 0.018, 0.0, 0.011, 0.009, 0.0, 0.0, 0.009, 0.009, 0.0, 0.0, 0.0, 0.0]\n",
"precision_y = [1.0, 0.857, 1.0, 0.0, 0.053, 1.0, 0.0, 0.0, 1.0, 0.333, 0.0, 0.0, 0.0, 0.0]\n",
"confidences = [0.9928551, 0.9910189, 0.9594935, 0.9578313, 0.93898296, 0.875, 0.8657407, 0.8428571, 0.80569947, 0.8015046, 0.77205884, 0.742685, 0.7, 0.45833334]\n",
"recall_x_b, recall_x_r, precision_y_b, precision_y_r = [], [], [], [] # 1 2 4 7 10\n",
"for r, p, c in zip(recall_x, precision_y, confidences):\n",
" if c > 0.9:\n",
" recall_x_b.append(r)\n",
" precision_y_b.append(p)\n",
" else:\n",
" recall_x_r.append(r)\n",
" precision_y_r.append(p)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"y_b, x_b, sizes_b = process_output2(precision_y_b, recall_x_b, coeff=1000)\n",
"y_r, x_r, sizes_r = process_output2(precision_y_r, recall_x_r, coeff=1000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(10, 8))\n",
"ax = subplot(111)\n",
"\n",
"ax.scatter(x_b, y_b, s=sizes_b, color='b', alpha=0.5, label=\"conf > 0.9\")\n",
"ax.scatter(x_r, y_r, s=sizes_r, color='orange', alpha=0.7, label=\"conf < 0.9\")\n",
"\n",
"ax.annotate(\"2\", (-0.012, 0.08), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"6\", (-0.012, -0.08), size=15, ha=\"center\", va=\"center\", color=\"orange\")\n",
"\n",
"ax.annotate(\"2\", (0.003, 0.9), size=15, ha=\"center\", va=\"center\", color=\"orange\")\n",
"ax.annotate(\"1\", (0.025, 1.06), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"1\", (0.02, 0.1), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"1\", (0.02, 0.4), size=15, ha=\"center\", va=\"center\", color=\"orange\")\n",
"ax.annotate(\"1\", (0.05, 0.74), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"ax.annotate(\"1\", (0.1, 0.9), size=15, ha=\"center\", va=\"center\", color=\"b\", alpha=0.8)\n",
"\n",
"handles, labels = ax.get_legend_handles_labels()\n",
"legend(handles, labels, markerscale=0.3, loc=\"lower right\", fontsize=15, bbox_to_anchor=(1,0.1))\n",
"\n",
"ax.set_ylabel(\"precision\", fontsize=15, labelpad=15)\n",
"ax.set_xlabel(\"recall\", fontsize=15, labelpad=15)\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"ax.set_xlim(xmin=-0.025, xmax=0.125)\n",
"\n",
"tight_layout()\n",
"savefig(\"rules_precision.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Confidence distribution"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"confs = [0.99996793, 0.99987054, 0.9992997, 0.9982993, 0.9979592, 0.99596775, 0.99593496, 0.99410164, 0.9935867, 0.9931818, 0.9928551, 0.9910189, 0.9893494, 0.9868871, 0.9868421, 0.98275864, 0.9819277, 0.9814815, 0.9810606, 0.9807692, 0.98, 0.97936505, 0.97859925, 0.97619045, 0.97619045, 0.975, 0.9747475, 0.97294116, 0.9717391, 0.97131145, 0.9680851, 0.96794873, 0.96662897, 0.9594935, 0.9578313, 0.95681906, 0.94008267, 0.93898296, 0.92016804, 0.9198473, 0.9159928, 0.88214284, 0.8815789, 0.875, 0.875, 0.8657407, 0.8488372, 0.8448276, 0.8428571, 0.8333333, 0.828125, 0.825, 0.80569947, 0.8020833, 0.8015046, 0.79347825, 0.78846157, 0.78571427, 0.7763989, 0.77205884, 0.7667464, 0.7629108, 0.7583333, 0.742685, 0.7394366, 0.7378049, 0.725, 0.7173913, 0.7, 0.69, 0.66129035, 0.6234568, 0.6041667, 0.5487805, 0.47916666, 0.45833334]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=(10, 8))\n",
"ax = subplot(111)\n",
"\n",
"N_bins = 76\n",
"ax.hist(confs, color=\"#040273\", label='JS files', bins=20)\n",
"ax.tick_params(axis='both', which='both',length=4)\n",
"ax.set_ylabel(\"Number of rules (overall 76)\", fontsize=15, labelpad=15)\n",
"ax.set_xlabel(\"confidence\", fontsize=15, labelpad=15)\n",
"\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"tight_layout()"
]
},
{
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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