paper_note/lynx/end_to_end_overlap.ipynb
2025-03-31 12:02:22 +00:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.rcParams[\"font.family\"] = \"Times New Roman\"\n",
"plt.rcParams[\"font.size\"] = 16\n",
"\n",
"g_label_fontsize = 16\n",
"\n",
"colors = [\n",
" \"#5D7599\",\n",
" \"#233142\",\n",
" \"#F95959\",\n",
"]\n",
"\n",
"edgecolors = [\n",
" \"#FFFFFF\",\n",
" \"#FFFFFF\",\n",
" \"#FFFFFF\",\n",
"]\n",
"\n",
"hatches = [\"\\\\\\\\\", \"\", \"\"]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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4QbNdG6Dc0tTfn3nmmbwb1tdee+3Yb7/96o7nzZsXt912Wxx//PGxzTbbRPfu3aOmpiZ69OgRO++8c/zqV7+KCRMmNFmdAM0hTf39384999x6/yOUuXPnxj777BMjR47Min/66aexzz77xMcffxwRX37ff+yxx2Lttddu8noByG/GjBmxbNmyvK8l9TOKlisN37nScA8ApaY3ZjPzAKRFmvu7mQegpUpTbzfvAPCVNPX3fzPvAJAOLXHewaIIVmvq1Kl54+3bt48OHToUnbempiZvfObMmUXnrE8a7gGglPTFbM8880zWcVVVVZx22mllqgageGnt7/Pnz4+jjz46MplM9OzZM/74xz82y3UBKkWa+vtNN92UN37ggQfGmmuuGW+//Xb813/9V2y44YZx5JFHxsiRI+PNN9+MWbNmxbJly+KTTz6J8ePHx0UXXRRbb711HHnkkTkD0ABJkab+/m+tW7eO++67L7bddtu8ry9fvjyOP/74+J//+Z+ora2NmTNnxl577RUTJ06MmpqauPrqq+OOO+7wH7IAlFl9n1EREd27dy86b7n/jomWKQ3fudJwDwClpjdmM/MApEVa+7uZB6AlS1NvN+8A8JU09fd/M+8AkA4tcd7BoghWa9q0aXnjjf3iUt9vjKb4w24a7gGglPTFbGPGjMk6PuKII2LrrbcuTzEAjZDW/n7iiSfG9OnTo1WrVnHrrbfGWmut1SzXBagUaenvtbW18cADD+R9bdddd41TTz01+vfvHzfccEMsXrw42rdvHz179oyOHTvWm/O2226Lfv36xfjx45ukZoCmlJb+/p86deoUjz32WGy33Xb1vufyyy+PIUOGxB577BETJkyIHXbYIV555ZU45ZRTmqVGAFatvs+oiMZ9TpX7M4qWKQ3fudJwDwClpjdmM/MApEVa+7uZB6AlS0tvN+8AkC0t/f0/mXcASL6WOO9gUQSrtWDBgrzxpvryVt/1GiMN9wBQSvriVxYtWhT3339/3XHr1q3jf//3f8tYEUDx0tjfb7755rjrrrsiIuLss8+OPfbYo8mvCVBp0tLfX3vttZg3b17e184888y4+uqrY5111onzzjsv3njjjVi0aFF8+OGHsWDBgvjXv/4Vp556aqyxxho5586dOzcGDRoUTz/9dJPUDdBU0tLf81l33XXjiSeeiAEDBtT7noceeiimTJkSAwcOjBdeeCH69evXbPUBsGqr+sxo27Zt0Xkr4TOKlicN37nScA8ApaY3fsXMA5AmaezvZh6Ali4tvd28A0C2tPT3fMw7ACRbS5x3sCiC1friiy/yxhvzmyIiorq6Om986dKljcqbTxruAaCU9MWv3HzzzVlfys4666zYZJNNylgRQPHS1t+nTp0aP/7xjyMiYscdd4wLLrigSa8HUKnS0t+feOKJVb5+3nnnxQcffBDnn39+9O/fP+u1LbfcMn73u9/FM888E126dMk5d9GiRTFs2LD45JNPSlozQFNKS3+vT+fOneOJJ56IQw45ZJXve/rpp+Pkk0+O5cuXN1NlAKxOfZ9Rbdq0iaqqqqLzVspnFC1LGr5zpeEeAEpNb/yKmQcgTdLW3808AKSnt5t3AMiWlv5eH/MOAMnVEucdLIpgter7jdHYLV8rV67MG1+2bFmj8uaThnsAKCV98UvLli2Lyy+/vO64b9++cd5555WxIoDGSVN/r62tjaOOOioWLFgQ7du3j9tuuy1at27dZNcDqGRp6e+vv/563vhOO+0UEydOjPPPPz/at2+/yhwDBgyIhx56KNZcc82c1+bMmRNHHXVUKUoFaBZp6e+r0rZt27jnnnvi+OOPX+X7rr/++thrr71i9uzZzVQZAKvSEj6jaDnS8Os5DfcAUGp645fMPABpk6b+buYB4Etp6e3mHQCypaW/r4p5B4BkagmfUf/JoghWK5PJ5I03dstXbW1t3nhNTU2j8uaThnsAKCV98Ut/+tOfYurUqRHx5WavG264oWJrBWiINPX3X//61/HPf/4zIiJ+97vfxWabbdZk1wKodGnp75MmTcobHzJkSPTs2bPBeXbeeec455xz8r72+OOPx+OPP15UfQDNLS39fXWefvrpePDBB6N169YxYMCAet/33HPPxS677BLvvvtuM1YHQD4t5TOKliENv57TcA8ApaY3fsnMA5A2aervZh4AvpSW3m7eASBbWvr76ph3AEielvIZ9XUWRbBaHTp0aJK8S5YsyRtv7GaWfNJwDwClpC9GzJ07N+tJGhdccEHsvvvuZawIoPHS0t9ffvnluOCCCyIi4tBDD13tNl6AtEtLf588eXLeeK9evQrOdcYZZ8Q666yT97XLLrus4HwA5ZCW/r4qv/3tb2OfffaJ+fPnx7333hvPPfdc/OxnP6v3/e+//37ssssu8cILLzRjlQD8p5bwGUXLkYZfz2m4B4BS0xvNPADplJb+buYB4Ctp6e3mHQCypaW/r4p5B4BkagmfUf/JoghWq2PHjnnj9f3CbqilS5fmjTd2M0s+abgHgFLSFyN+8pOfxLx58yIi4jvf+U784he/KHNFAI2Xhv7+xRdfxPe///1Yvnx5bLDBBvHnP/+55NcASJo09Pfly5fHwoUL8762wQYbFJyvffv2cfLJJ+d9bezYsXXf9QEqWRr6e31WrlwZP/rRj+Kss86K2traGDlyZAwZMiRatWoVl156afzlL3+JNddcM++58+bNi/322y+ef/75ZqsXgGxp/oyi5UnDr+c03ANAqemNZh6AdEpDfzfzAJAtDb3dvANArjT09/qYdwBItjR/RtXHoghWq6l+YyxatChvvHPnzo3Km08a7gGglFp6X3zggQfilltuiYiI3r17x6233hpVVVVlrgqg8dLQ33/605/Gu+++G1VVVfGXv/yl3u3pAC1JGvp7fUMTERHdu3cvKmd9T1/KZDLxzDPPFJUToDmlob/ns3Llyjj88MPjj3/8Y0REnHbaafH9738/6z0/+MEP4h//+Ee9NS1YsCD222+/eOutt5q6XADySOtnFC1TGn49p+EeAEqtpfdGMw9AWqWhv5t5AMiWht5u3gEgVxr6ez7mHQCSL62fUatiUQSrtfbaa+eNN/Y3xoIFC/LGN95440blzScN9wBQSi25L06bNi2OO+64iIhYZ5114pFHHokuXbqUuSqA0kh6f3/wwQfj+uuvj4iIM844IwYNGlTS/ABJlfT+HvHl05PqU+z38Y033jj69++f97UXX3yxqJwAzSkN/f0/ZTKZOProo+Oee+6JiIg+ffrEpZdemve9AwcOjGeffTZ69OiR9/WFCxfG4MGDY/78+U1WLwD5pfEzipYrDb+e03APAKXWknujmQcgzZLe3808AORKem+PMO8AkE8a+vt/Mu8AkA5p/IxaHYsiWK2+ffvmjde3AaWhPvvss7zxnj17NipvPmm4B4BSaql9cfny5XH44YfH3LlzY80114zRo0fX++8CIImS3t+/vin9t7/9bVRVVRX1z7HHHps3f33vB6h0Se/vERFrrLFGva916tSp6Lz77bdf3vjMmTOLzgnQXNLQ3//TJZdcErfddlvd8cUXXxw1NTX1vn+rrbaKZ599Nnr16pX39Q8//DDOOuusUpcJwGrU9xm1cuXKRg1PVPrPEEinNHznSsM9AJRaS+2NZh6AtEt6fzfzAJAr6b09wrwDQD5p6O//ybwDQDq0xHkHiyJYrX79+uWNz5kzJ1asWFF03jlz5uSN1/cFqTHScA8ApdRS++KPf/zjeO6556JVq1Zx8803x5577lnukgBKKun9ffbs2SXNB5AWSe/vERHt27ev97U111yz6Lxbb7113vjcuXOLzgnQXNLQ37/uxRdfjHPPPbfueIMNNoihQ4eu9rw+ffrEk08+We8PzW688cZ45ZVXSlYnAKu30UYb1TvgPGPGjKLzVvrPEEinNHznSsM9AJRaS+2NZh6AtEt6fzfzAJAr6b09wrwDQD5p6O9fZ94BID1a4ryDRRGs1jrrrBPdu3fPidfW1sYnn3xSdN5Zs2bljW+//fZF56xPGu4BoJRaYl+89tpr4/rrr4+IiKuvvjoOO+ywMlcEUHotsb8DtARp6O8dOnSod3hi6dKlReet74eOy5YtKzonQHNJQ3//uh//+MdRW1tbd3zooYdG69atG3Rur1694h//+Eesu+66eV//7W9/W5IaAWi4LbfcMm98+vTpRef0d0yUQxq+c6XhHgBKrSX2RjMPQEvQEvs7QNqlobebdwDIlYb+/nXmHQDSpaXNO1gUQYNss802eePTpk0rKt+SJUvi008/zYmvt956sckmmxSVc3XScA8ApdSS+uLf/va3OO200yIi4oILLoiTTjqprPUANKWW1N8BWpI09Pc+ffrkjc+bN6/onN26dcsb79KlS9E5AZpTGvp7RMRTTz0VL730UlZs0KBBBeXo27dv3HvvvXmHLUaPHh2LFy9uVI0AFKbUn1ERER9//HFOrFWrVrHTTjsVnRMaIg3fudJwDwCl1pJ6o5kHoCVpSf0doKVIQ2837wCQKw39PcK8A0AatbR5B4siaJD9998/b/yDDz4oKt/UqVPzxgcMGFBUvoZIwz0AlFJL6YsvvPBCHH744bFy5co47bTT4txzzy1rPQBNraX0d4CWJg39fauttsobL/YeIiI6duyYN17fhnaASpOG/h4Rcdttt+XE6uv7q7LnnnvG+eefnxNfunRpjBs3rpjSAChSqT+jFi9eHLNnz86J9+vXr97v9VAqafjOlYZ7ACi1ltIbzTwALU1L6e8ALUkaert5B4BcaejvEeYdANKopc07WBRBgwwZMiRv/NVXXy0q3+TJk/PGBw8eXFS+hkjDPQCUUkvoixMmTIgDDjggvvjiizj66KPjyiuvLFstAM0lyf09k8mU5J+bbrqpoPwASZDk/v5vu+22W974hAkTis7Zvn37vPFiflgHUA5p6O8REc8++2xOrHv37kXlOuuss2L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",
"text/plain": [
"<Figure size 4200x1567.16 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(\n",
" figsize=(14, 14 / 2.68), ncols=2, nrows=2, constrained_layout=True, dpi=300\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"labels_name_a = [\n",
" \"ModelA\\n8DP\",\n",
" \"ModelA\\n8TP\",\n",
" \"ModelB\\n8TP\",\n",
" \"ModelC\\n8DP\",\n",
" \"ModelC\\n8TP\",\n",
" \"ModelD\\n8TP\",\n",
"]\n",
"labels_name_b = [\n",
" \"ModelA\\n16DP\",\n",
" \"ModelA\\n16TP\",\n",
" \"ModelB\\n16TP\",\n",
" \"ModelC\\n16DP\",\n",
" \"ModelC\\n16TP\",\n",
" \"ModelD\\n16TP\",\n",
"]\n",
"labels_name_c = [\n",
" \"ModelA\\n2DP$\\\\times$4TP\",\n",
" \"ModelA\\n4DP$\\\\times$2TP\",\n",
" \"ModelB\\n4DP$\\\\times$2TP\",\n",
" \"ModelC\\n2DP$\\\\times$4TP\",\n",
" \"ModelC\\n4DP$\\\\times$2TP\",\n",
" \"ModelD\\n2DP$\\\\times$4TP\",\n",
"]\n",
"labels_name_d = [\n",
" \"ModelA\\n15DP\",\n",
" \"ModelA\\n15TP\",\n",
" \"ModelB\\n15TP\",\n",
" \"ModelC\\n15DP\",\n",
" \"ModelC\\n15TP\",\n",
" \"ModelD\\n15TP\",\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# overlapp\n",
"data_a = {\n",
" labels_name_a[0]: [36.1, 0, 0], # 94.2,??,81\n",
" labels_name_a[1]: [0, 0, 0], # 22.64\n",
" labels_name_a[2]: [0, 0, 0], # 37\n",
" labels_name_a[3]: [0, 0, 0], # 37\n",
" labels_name_a[4]: [0, 0, 0], # 22.64\n",
" labels_name_a[5]: [0, 0, 0], # 22.64\n",
"}\n",
"data_a_diff = {\n",
" labels_name_a[0]: 38.4, # 22.64\n",
" labels_name_a[1]: 70, # 22.64\n",
" labels_name_a[2]: 70, # 37\n",
" labels_name_a[3]: 70, # 37\n",
" labels_name_a[4]: 70, # 22.64\n",
" labels_name_a[5]: 70, # 22.64\n",
"}\n",
"\n",
"data_b = {\n",
" labels_name_b[0]: [0, 0, 0], # 37\n",
" labels_name_b[1]: [0, 0, 0], # 22.64\n",
" labels_name_b[2]: [0, 0, 0], # 22.64\n",
" labels_name_b[3]: [0, 0, 0], # 37\n",
" labels_name_b[4]: [0, 0, 0], # 22.64\n",
" labels_name_b[5]: [0, 0, 0], # 22.64\n",
"}\n",
"data_b_diff = {\n",
" labels_name_b[0]: 70, # 37\n",
" labels_name_b[1]: 70, # 22.64\n",
" labels_name_b[2]: 70, # 22.64\n",
" labels_name_b[3]: 70, # 37\n",
" labels_name_b[4]: 70, # 22.64\n",
" labels_name_b[5]: 70, # 22.64\n",
"}\n",
"\n",
"data_c = {\n",
" labels_name_c[0]: [0, 0, 0], # 2DP 4TP\n",
" labels_name_c[1]: [0, 0, 0], # 4DP 2TP\n",
" labels_name_c[2]: [0, 0, 0], #\n",
" labels_name_c[3]: [0, 0, 0], # 37\n",
" labels_name_c[4]: [0, 0, 0], # 22.64\n",
" labels_name_c[5]: [0, 0, 0], # 22.64\n",
"}\n",
"data_c_diff = {\n",
" labels_name_c[0]: 70, # 2DP 4TP\n",
" labels_name_c[1]: 70, # 4DP 2TP\n",
" labels_name_c[2]: 70, #\n",
" labels_name_c[3]: 70, # 37\n",
" labels_name_c[4]: 70, # 22.64\n",
" labels_name_c[5]: 70, # 22.64\n",
"}\n",
"\n",
"data_d = {\n",
" labels_name_d[0]: [0, 0, 0], # 37\n",
" labels_name_d[1]: [0, 0, 0], # 22.64\n",
" labels_name_d[2]: [0, 0, 0], # 22.64\n",
" labels_name_d[3]: [0, 0, 0], # 37\n",
" labels_name_d[4]: [0, 0, 0], # 22.64\n",
" labels_name_d[5]: [0, 0, 0], # 22.64\n",
"}\n",
"data_d_diff = {\n",
" labels_name_d[0]: 70, # 37\n",
" labels_name_d[1]: 70, # 22.64\n",
" labels_name_d[2]: 70, # 22.64\n",
" labels_name_d[3]: 70, # 37\n",
" labels_name_d[4]: 70, # 22.64\n",
" labels_name_d[5]: 70, # 22.64\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"bar_width = 0.2\n",
"group_spaing = 0.15\n",
"\n",
"group_positions = {}\n",
"current_pos = 0\n",
"\n",
"x_label_cnt = len(data_a.keys())\n",
"x_label_group_cnt = 3\n",
"\n",
"for idx in range(x_label_cnt):\n",
" group_positions[idx] = []\n",
" for _ in range(x_label_group_cnt):\n",
" group_positions[idx].append(current_pos)\n",
" current_pos += bar_width\n",
" current_pos += group_spaing\n",
"\n",
"group_centers = {}\n",
"for idx, positions in group_positions.items():\n",
" group_centers[idx] = sum(positions) / len(positions)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(a) Single-node, single parallel')"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"label_set = set()\n",
"\n",
"for idx, (x_label, y_data) in enumerate(data_a.items()):\n",
" diff_value = data_a_diff[x_label]\n",
" positions = group_positions[idx]\n",
" for i, (pos, value, color, edgecolor, hatch, label) in enumerate(\n",
" zip(\n",
" positions,\n",
" y_data,\n",
" colors,\n",
" edgecolors,\n",
" hatches,\n",
" legend_labels,\n",
" )\n",
" ):\n",
" if label in label_set:\n",
" local_label = None\n",
" else:\n",
" local_label = label\n",
" label_set.add(local_label)\n",
"\n",
" ax[0][0].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" label=local_label,\n",
" hatch=hatch,\n",
" edgecolor=edgecolor,\n",
" )\n",
" ax[0][0].bar(\n",
" pos,\n",
" diff_value - value,\n",
" width=bar_width,\n",
" color=\"#E3E3E3\",\n",
" label=None,\n",
" edgecolor=edgecolor,\n",
" bottom=value\n",
" )\n",
"\n",
"ax[0][0].set_xticks(list(group_centers.values()))\n",
"ax[0][0].set_xticklabels(list(data_a.keys()))\n",
"\n",
"ax[0][0].set_ylim(0, 100)\n",
"ax[0][0].set_yticks([0, 50, 100])\n",
"ax[0][0].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[0][0].tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
"ax[0][0].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[0][0].set_ylabel(\"Comm-Time Ratio (%)\", fontsize=g_label_fontsize)\n",
"ax[0][0].set_title(\"(a) Single-node, single parallel\")"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(b) Two-node, single parallel')"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"total_label = \"Non-Overlap Communication\"\n",
"\n",
"for idx, (x_label, y_data) in enumerate(data_b.items()):\n",
" diff_value = data_b_diff[x_label]\n",
" positions = group_positions[idx]\n",
" for i, (pos, value, color, edgecolor, hatch) in enumerate(\n",
" zip(\n",
" positions,\n",
" y_data,\n",
" colors,\n",
" edgecolors,\n",
" hatches,\n",
" )\n",
" ):\n",
" ax[0][1].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" hatch=hatch,\n",
" edgecolor=edgecolor,\n",
" )\n",
" ax[0][1].bar(\n",
" pos,\n",
" diff_value - value,\n",
" width=bar_width,\n",
" color=\"#E3E3E3\",\n",
" label=total_label,\n",
" edgecolor=edgecolor,\n",
" bottom=value\n",
" )\n",
"\n",
" if total_label is not None:\n",
" total_label = None\n",
"\n",
"ax[0][1].set_xticks(list(group_centers.values()))\n",
"ax[0][1].set_xticklabels(list(data_b.keys()))\n",
"\n",
"ax[0][1].set_ylim(0, 100)\n",
"ax[0][1].set_yticks([0, 50, 100])\n",
"ax[0][1].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[0][1].tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
"ax[0][1].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[0][1].set_title(\"(b) Two-node, single parallel\")"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(c) Single-node, hybrid parallel')"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"for idx, (x_label, y_data) in enumerate(data_c.items()):\n",
" diff_value = data_c_diff[x_label]\n",
" positions = group_positions[idx]\n",
" for i, (pos, value, color, edgecolor, hatch) in enumerate(\n",
" zip(\n",
" positions,\n",
" y_data,\n",
" colors,\n",
" edgecolors,\n",
" hatches,\n",
" )\n",
" ):\n",
" if value == -1:\n",
" ax[1][0].text(\n",
" pos,\n",
" 1,\n",
" \"OOM$\\\\times$\",\n",
" rotation=90,\n",
" ha=\"center\",\n",
" va=\"bottom\",\n",
" color=\"red\",\n",
" )\n",
" ax[1][0].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" label=local_label,\n",
" hatch=hatch,\n",
" edgecolor=edgecolor,\n",
" )\n",
" ax[1][0].bar(\n",
" pos,\n",
" diff_value - value,\n",
" width=bar_width,\n",
" color=\"#E3E3E3\",\n",
" label=None,\n",
" edgecolor=edgecolor,\n",
" bottom=value,\n",
" )\n",
"\n",
"ax[1][0].set_xticks(list(group_centers.values()))\n",
"ax[1][0].set_xticklabels(list(data_c.keys()))\n",
"\n",
"ax[1][0].set_ylim(0, 100)\n",
"ax[1][0].set_yticks([0, 50, 100])\n",
"ax[1][0].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[1][0].tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
"ax[1][0].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[1][0].set_ylabel(\"Comm-Time Ratio (%)\", fontsize=g_label_fontsize)\n",
"ax[1][0].set_title(\"(c) Single-node, hybrid parallel\")"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(d) Two-node, hybrid parallel')"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"for idx, (x_label, y_data) in enumerate(data_d.items()):\n",
" diff_value = data_d_diff[x_label]\n",
" positions = group_positions[idx]\n",
" for i, (pos, value, color, edgecolor, hatch) in enumerate(\n",
" zip(\n",
" positions,\n",
" y_data,\n",
" colors,\n",
" edgecolors,\n",
" hatches,\n",
" )\n",
" ):\n",
" ax[1][1].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" hatch=hatch,\n",
" edgecolor=edgecolor,\n",
" )\n",
" ax[1][1].bar(\n",
" pos,\n",
" diff_value - value,\n",
" width=bar_width,\n",
" color=\"#E3E3E3\",\n",
" label=None,\n",
" edgecolor=edgecolor,\n",
" bottom=value,\n",
" )\n",
"\n",
"ax[1][1].set_xticks(list(group_centers.values()))\n",
"ax[1][1].set_xticklabels(list(data_d.keys()))\n",
"\n",
"ax[1][1].set_ylim(0, 100)\n",
"ax[1][1].set_yticks([0, 50, 100])\n",
"ax[1][1].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[1][1].tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
"ax[1][1].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[1][1].set_title(\"(d) Two-node, hybrid parallel\")"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f6a3e017020>"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig.legend(\n",
" ncol=4,\n",
" loc=\"upper center\",\n",
" frameon=False,\n",
" shadow=False,\n",
" bbox_to_anchor=(0.5, 1.1),\n",
" fontsize=g_label_fontsize,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 4200x1567.16 with 4 Axes>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig.savefig(\"end_to_end_overlap.pdf\", bbox_inches=\"tight\", dpi=1000)\n",
"fig"
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"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": "3.12.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}