paper_note/lynx/end_to_end_hybrid.ipynb
2025-03-09 15:58:05 +08:00

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436 KiB
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{
"cells": [
{
"cell_type": "code",
"execution_count": 279,
"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",
" \"#364F6B\",\n",
" \"#233142\",\n",
" \"#F95959\",\n",
"]\n",
"\n",
"edgecolors = [\n",
" \"#FFFFFF\",\n",
" \"#FFFFFF\",\n",
" \"#FFFFFF\",\n",
"]\n",
"\n",
"hatches = [\"\", \"\", \"\"]"
]
},
{
"cell_type": "code",
"execution_count": 280,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 2100x2333.33 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(\n",
" figsize=(7, 14 / 1.8), ncols=1, nrows=3, constrained_layout=True, dpi=300\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 281,
"metadata": {},
"outputs": [],
"source": [
"labels_name = [\n",
" \"ModelA\\n4TP+2DP\",\n",
" \"ModelA\\n8TP+2DP\",\n",
" \"ModelB\\n4TP+2DP\",\n",
" \"ModelB\\n8TP+2DP\",\n",
" \"ModelC\\n4TP+2DP\",\n",
" \"ModelC\\n8TP+2DP\",\n",
" \"ModelD\\n4TP+2DP\",\n",
" \"ModelD\\n8TP+2DP\",\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 282,
"metadata": {},
"outputs": [],
"source": [
"# MFU\n",
"data_a = {\n",
" labels_name[0]: [53, 53, 65], # 22.64\n",
" labels_name[1]: [53, 53, 65], # 22.64\n",
" labels_name[2]: [35, 35, 48], # 37\n",
" labels_name[3]: [35, 35, 48], # 37\n",
" labels_name[4]: [53, 53, 65], # 22.64\n",
" labels_name[5]: [53, 53, 65], # 22.64\n",
" labels_name[6]: [53, 53, 65], # 22.64\n",
" labels_name[7]: [53, 53, 65], # 22.64\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 283,
"metadata": {},
"outputs": [],
"source": [
"# overlapping rate\n",
"data_b = {\n",
" labels_name[0]: [54, 62, 12],\n",
" labels_name[1]: [54, 62, 12],\n",
" labels_name[2]: [52, 62, 12],\n",
" labels_name[3]: [52, 62, 12],\n",
" labels_name[4]: [52, 62, 12],\n",
" labels_name[5]: [52, 62, 12],\n",
" labels_name[6]: [53, 62, 12],\n",
" labels_name[7]: [52, 62, 12],\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 284,
"metadata": {},
"outputs": [],
"source": [
"# communication baseline\n",
"data_c = {\n",
" labels_name[0]: 70,\n",
" labels_name[1]: 70,\n",
" labels_name[2]: 70,\n",
" labels_name[3]: 70,\n",
" labels_name[4]: 70,\n",
" labels_name[5]: 70,\n",
" labels_name[6]: 70,\n",
" labels_name[7]: 70,\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 285,
"metadata": {},
"outputs": [],
"source": [
"data_d = {\n",
" labels_name[0]: [124, 124, 128], # 22.64\n",
" labels_name[1]: [124, 124, 128], # 22.64\n",
" labels_name[2]: [124, 124, 128], # 37\n",
" labels_name[3]: [124, 124, 128], # 37\n",
" labels_name[4]: [124, 124, 128], # 22.64\n",
" labels_name[5]: [124, 124, 128], # 22.64\n",
" labels_name[6]: [124, 124, 128], # 22.64\n",
" labels_name[7]: [124, 124, 128], # 22.64\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 286,
"metadata": {},
"outputs": [],
"source": [
"legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]"
]
},
{
"cell_type": "code",
"execution_count": 287,
"metadata": {},
"outputs": [],
"source": [
"bar_width = 0.2\n",
"group_spaing = 0.15\n",
"\n",
"group_positions = {}\n",
"current_pos = 0\n",
"\n",
"for x_label, y_data in data_a.items():\n",
" group_positions[x_label] = []\n",
" for i in range(len(y_data)):\n",
" group_positions[x_label].append(current_pos)\n",
" current_pos += bar_width\n",
" current_pos += group_spaing\n",
"\n",
"group_centers = {}\n",
"for x_label, positions in group_positions.items():\n",
" group_centers[x_label] = sum(positions) / len(positions)"
]
},
{
"cell_type": "code",
"execution_count": 288,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(d)')"
]
},
"execution_count": 288,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"label_set = set()\n",
"for x_label, y_data in data_a.items():\n",
" positions = group_positions[x_label]\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",
" ax[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",
"\n",
"ax[0].set_xticks(list(group_centers.values()))\n",
"ax[0].set_xticklabels(list(data_a.keys()))\n",
"\n",
"ax[0].set_ylim(0, 100)\n",
"ax[0].set_yticks([0, 50, 100])\n",
"ax[0].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[0].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
"ax[0].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[0].set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)\n",
"ax[0].set_title(\"(d)\")"
]
},
{
"cell_type": "code",
"execution_count": 289,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(e)')"
]
},
"execution_count": 289,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"label_set = set()\n",
"total_label = \"Total Communication Ratio\"\n",
"\n",
"for x_label, y_data in data_b.items():\n",
" positions = group_positions[x_label]\n",
" for i, (pos, value, diff_value, color, edgecolor, label, hatch) in enumerate(\n",
" zip(\n",
" positions,\n",
" y_data,\n",
" list(data_c.values()),\n",
" colors,\n",
" edgecolors,\n",
" legend_labels,\n",
" hatches,\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[1].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" edgecolor=edgecolor,\n",
" hatch=hatch,\n",
" #label=local_label,\n",
" )\n",
"\n",
" ax[1].bar(\n",
" pos,\n",
" diff_value - value,\n",
" bottom=value,\n",
" color=\"#E3E3E3\",\n",
" edgecolor=edgecolor,\n",
" width=bar_width,\n",
" label=total_label,\n",
" )\n",
"\n",
" if total_label is not None:\n",
" total_label = None\n",
"\n",
"ax[1].set_xticks(list(group_centers.values()))\n",
"ax[1].set_xticklabels(list(data_a.keys()))\n",
"\n",
"ax[1].set_ylim(0, 100)\n",
"ax[1].set_yticks([0, 50, 100])\n",
"ax[1].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[1].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
"ax[1].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[1].set_ylabel(\"Overlapping Ratio (%)\", fontsize=g_label_fontsize)\n",
"ax[1].set_title(\"(e)\")"
]
},
{
"cell_type": "code",
"execution_count": 290,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '(f)')"
]
},
"execution_count": 290,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"for x_label, y_data in data_d.items():\n",
" positions = group_positions[x_label]\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[2].bar(\n",
" pos,\n",
" value,\n",
" width=bar_width,\n",
" color=color,\n",
" edgecolor=edgecolor,\n",
" hatch=hatch,\n",
" label=local_label,\n",
" )\n",
"\n",
"\n",
"ax[2].set_xticks(list(group_centers.values()))\n",
"ax[2].set_xticklabels(list(data_a.keys()))\n",
"\n",
"ax[2].set_ylim(0, 150)\n",
"ax[2].set_yticks([0, 50, 100])\n",
"ax[2].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
"\n",
"ax[2].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
"ax[2].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
"\n",
"ax[2].set_ylabel(\"Throughput (tokens/s)\", fontsize=g_label_fontsize)\n",
"ax[2].set_title(\"(f)\")"
]
},
{
"cell_type": "code",
"execution_count": 291,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f360b558800>"
]
},
"execution_count": 291,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax[0].legend(\n",
" ncol=3,\n",
" loc=\"upper center\",\n",
" frameon=False,\n",
" shadow=False,\n",
" fontsize=g_label_fontsize,\n",
")\n",
"\n",
"ax[1].legend(\n",
" ncol=1,\n",
" loc=\"upper center\",\n",
" frameon=False,\n",
" shadow=False,\n",
" fontsize=g_label_fontsize,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 292,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 2100x2333.33 with 3 Axes>"
]
},
"execution_count": 292,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig.savefig(\"end_to_end_hybrid.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": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}