From 18146e8ba9eb180560ae6b038ee4b3e854a0e85e Mon Sep 17 00:00:00 2001 From: yezhengmao Date: Fri, 28 Mar 2025 17:54:41 +0800 Subject: [PATCH] [tools] --- lynx/convert_xla2chrome_trace.py | 150 +++++++++ lynx/end_to_end.ipynb | 541 +++++++++++++++++++++++++++++++ lynx/end_to_end_fsdp.ipynb | 444 ------------------------- 3 files changed, 691 insertions(+), 444 deletions(-) create mode 100644 lynx/convert_xla2chrome_trace.py create mode 100644 lynx/end_to_end.ipynb delete mode 100644 lynx/end_to_end_fsdp.ipynb diff --git a/lynx/convert_xla2chrome_trace.py b/lynx/convert_xla2chrome_trace.py new file mode 100644 index 0000000..77a893a --- /dev/null +++ b/lynx/convert_xla2chrome_trace.py @@ -0,0 +1,150 @@ +# coding=utf-8 +from __future__ import unicode_literals, absolute_import +import json +from argparse import ArgumentParser +from collections import defaultdict +def main(): + parser = ArgumentParser() + parser.add_argument('req_json', type=str,help="reorder request file") + parser.add_argument('res_json', type=str,help="reorder result file") + parser.add_argument('trace_dst_file',type=str,help="write chrome trace file path") + + args = parser.parse_args() + with open(args.req_json) as fin: + req_json = json.load(fin) + with open(args.res_json) as fin: + res_json = json.load(fin) + uuid2node ={} + nodes = req_json["nodes"] + for node in nodes: + uuid2node[node["uuid"]] = node + # cat,dur,ts, + edge_map = {} + edges = req_json["edges"] + for edge in edges: + from_id = edge["from"] + to_id = edge["to"] + if uuid2node[from_id]["typename"]!="compute" and \ + uuid2node[to_id]["typename"]!="compute": # comm start node + edge_map[from_id] = edge + traceEvents = [] + chrome_trace_json_format = { + "distributedInfo":{ + "rank":0 + }, + + } + stackFrames = {} + # antopt format + if "finalized_node_start_end_time" in res_json: + finalized_node_start_end_time = res_json["finalized_node_start_end_time"] + # prepare comm edge + for node_start_end in finalized_node_start_end_time: + node_uuid = node_start_end["node_uuid"] + if "_" in node_uuid:#TODO: edge, + continue + node = uuid2node[node_uuid] + if node["typename"]=="compute": + traceEvents.append({ + "id":node_uuid, + "cat": "kernel", + "dur": node_start_end["end_time"]-node_start_end["start_time"], + "ts": node_start_end["start_time"], + "pid": 0, + "tid": 0, + "name": node["name"], + "ph": "X", + "args": { + "cost":node["cost"], + "uuid":node_uuid + + } + }) + else: + name = "ncclKernel_"+node["name"] + if node_uuid not in edge_map: + continue + cost = edge_map[node_uuid]["cost"] + traceEvents.append({ + "id":node_uuid, + "cat": "kernel", + "dur": cost, + "ts": node_start_end["start_time"], + "pid": 0, + "tid": 1, + "name": name, + "ph": "X", + "args": { + "cost": cost, + "uuid":node_uuid + + } + }) + elif "nodes" in res_json: + # ortools format + # prepare communication edge + node2deps = defaultdict(list) + for edge in req_json["edges"]: + node2deps[edge["to"]].append(edge["from"]) + for node in res_json["nodes"]: + node_before_solve = uuid2node[node["uuid"]] + # overwrite + node["opcode"] = node_before_solve["opcode"] + uuid2node[node["uuid"]]=node + def normalize_dt(time): + return time + for node in res_json["nodes"]: + uuid = node["uuid"] + deps = node2deps[uuid] + + if node["typename"]=="compute": + traceEvents.append({ + "id": uuid, + "cat": "kernel", + "dur": normalize_dt(node["endTime"]-node["startTime"]), + "ts": normalize_dt(node["startTime"]), + "pid": 0, + "tid": 0, + "name": node["name"], + "ph":"X", + "args":{ + "cost": normalize_dt(node["endTime"]-node["startTime"]), + "uuid":uuid, + "opcode":node["opcode"], + "obj":{ + "id_ref":node2deps[uuid] + }, + }, + }) + else: + name = "ncclKernel_"+node["name"] + if uuid in edge_map: + cost = edge_map[uuid]["cost"] + else: + # compute link to communication + continue + traceEvents.append({ + "id":uuid, + "cat": "kernel", + "dur":normalize_dt(cost), + "ts": normalize_dt(node["startTime"]), + "pid": 0, + "tid": 1, + "name": name, + "ph": "X", + "args": { + "cost": normalize_dt(cost), + "uuid":uuid, + "opcode":node["opcode"] + + } + }) + count = 0 + + chrome_trace_json_format["traceEvents"] = traceEvents + chrome_trace_json_format["stackFrames"] = stackFrames + with open(args.trace_dst_file, "w") as fout: + json.dump(chrome_trace_json_format, fout,indent=2) + +if __name__ == '__main__': + main() \ No newline at end of file diff --git a/lynx/end_to_end.ipynb b/lynx/end_to_end.ipynb new file mode 100644 index 0000000..6eee9b8 --- /dev/null +++ b/lynx/end_to_end.ipynb @@ -0,0 +1,541 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 331, + "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": 332, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(\n", + " figsize=(7, 14 / 1.2), ncols=1, nrows=4, constrained_layout=True, dpi=300\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "labels_name = [\n", + " \"ModelA\\n8DP\",\n", + " \"ModelA\\n8TP\",\n", + " \"ModelB\\n8TP\",\n", + " \"ModelC\\n8DP\",\n", + " \"ModelC\\n8TP\",\n", + " \"ModelD\\n8TP\",\n", + " \"ModelA\\n16DP\",\n", + " \"ModelA\\n16TP\",\n", + " \"ModelB\\n16TP\",\n", + " \"ModelC\\n16DP\",\n", + " \"ModelC\\n16TP\",\n", + " \"ModelD\\n16TP\",\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 334, + "metadata": {}, + "outputs": [], + "source": [ + "# MFU\n", + "data_a = {\n", + " labels_name[0]: [41, 34, 44], # 22.64\n", + " labels_name[1]: [26, 36, 43], # 22.64\n", + " labels_name[2]: [30, 39, 49], # 37\n", + " labels_name[3]: [0, 0, 0], # 37\n", + " labels_name[4]: [0, 0, 0], # 22.64\n", + " labels_name[5]: [0, 0, 0], # 22.64\n", + " labels_name[6]: [0, 0, 0], # 37\n", + " labels_name[7]: [0, 0, 0], # 22.64\n", + " labels_name[8]: [0, 0, 0], # 22.64\n", + " labels_name[9]: [0, 0, 0], # 37\n", + " labels_name[10]: [0, 0, 0], # 22.64\n", + " labels_name[11]: [0, 0, 0], # 22.64\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 335, + "metadata": {}, + "outputs": [], + "source": [ + "# peak memory\n", + "data_d = {\n", + " labels_name[0]: [79, 41, 48],\n", + " labels_name[1]: [47, 44, 42],\n", + " labels_name[2]: [66, 60, 69],\n", + " labels_name[3]: [0, 0, 0],\n", + " labels_name[4]: [0, 0, 0],\n", + " labels_name[5]: [0, 0, 0],\n", + " labels_name[6]: [0, 0, 0], # 37\n", + " labels_name[7]: [0, 0, 0], # 22.64\n", + " labels_name[8]: [0, 0, 0], # 22.64\n", + " labels_name[9]: [0, 0, 0], # 37\n", + " labels_name[10]: [0, 0, 0], # 22.64\n", + " labels_name[11]: [0, 0, 0], # 22.64\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 336, + "metadata": {}, + "outputs": [], + "source": [ + "# overlapping rate\n", + "data_b = {\n", + " labels_name[0]: [0, 0, 0],\n", + " labels_name[1]: [0, 0, 0],\n", + " labels_name[2]: [0, 0, 0],\n", + " labels_name[3]: [0, 0, 0],\n", + " labels_name[4]: [0, 0, 0],\n", + " labels_name[5]: [0, 0, 0],\n", + " labels_name[6]: [0, 0, 0], # 37\n", + " labels_name[7]: [0, 0, 0], # 22.64\n", + " labels_name[8]: [0, 0, 0], # 22.64\n", + " labels_name[9]: [0, 0, 0], # 37\n", + " labels_name[10]: [0, 0, 0], # 22.64\n", + " labels_name[11]: [0, 0, 0], # 22.64\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 337, + "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]: [0, 0, 0], # 37\n", + " labels_name[7]: [0, 0, 0], # 22.64\n", + " labels_name[8]: [0, 0, 0], # 22.64\n", + " labels_name[9]: [0, 0, 0], # 37\n", + " labels_name[10]: [0, 0, 0], # 22.64\n", + " labels_name[11]: [0, 0, 0], # 22.64\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 338, + "metadata": {}, + "outputs": [], + "source": [ + "# compilation time\n", + "data_e = {\n", + " labels_name[0]: [1, 10, 147],\n", + " labels_name[1]: [0, 10, 133],\n", + " labels_name[2]: [0, 0, 0],\n", + " labels_name[3]: [0, 0, 0],\n", + " labels_name[4]: [0, 0, 0],\n", + " labels_name[5]: [0, 0, 0],\n", + " labels_name[6]: [0, 0, 0], # 37\n", + " labels_name[7]: [0, 0, 0], # 22.64\n", + " labels_name[8]: [0, 0, 0], # 22.64\n", + " labels_name[9]: [0, 0, 0], # 37\n", + " labels_name[10]: [0, 0, 0], # 22.64\n", + " labels_name[11]: [0, 0, 0], # 22.64\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 339, + "metadata": {}, + "outputs": [], + "source": [ + "legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 340, + "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": 341, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, '(a)')" + ] + }, + "execution_count": 341, + "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=8, 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(\"(a)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 342, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, '(b)')" + ] + }, + "execution_count": 342, + "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[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", + "\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, 90)\n", + "ax[1].set_yticks([0, 40, 80])\n", + "ax[1].set_yticklabels([\"0\", \"40\", \"80\"], rotation=90, ha=\"center\", va=\"center\")\n", + "\n", + "ax[1].tick_params(axis=\"x\", bottom=False, labelsize=8, pad=1)\n", + "ax[1].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n", + "\n", + "ax[1].set_ylabel(\"Peak Memory (GB)\", fontsize=g_label_fontsize)\n", + "ax[1].set_title(\"(b)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 343, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, '(c)')" + ] + }, + "execution_count": 343, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "label_set = set()\n", + "total_label = \"Non-Overlap Communication\"\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[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", + " ax[2].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", + " if total_label is not None:\n", + " total_label = None\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, 100)\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=8, pad=1)\n", + "ax[2].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n", + "\n", + "ax[2].set_ylabel(\"Comm-Comp Overlap Ratio (%)\", fontsize=g_label_fontsize)\n", + "ax[2].set_title(\"(c)\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, '(d)')" + ] + }, + "execution_count": 344, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "for x_label, y_data in data_e.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[3].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[3].set_xticks(list(group_centers.values()))\n", + "ax[3].set_xticklabels(list(data_a.keys()))\n", + "\n", + "ax[3].set_ylim(0, 210)\n", + "ax[3].set_yticks([0, 50, 100, 150, 200])\n", + "ax[3].set_yticklabels([\"0\", \"50\", \"100\", \"150\", \"200\"], rotation=90, ha=\"center\", va=\"center\")\n", + "\n", + "ax[3].tick_params(axis=\"x\", bottom=False, labelsize=8, pad=1)\n", + "ax[3].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n", + "\n", + "ax[3].set_ylabel(\"Compile Time (s)\", fontsize=g_label_fontsize)\n", + "ax[3].set_title(\"(d)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 345, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 345, + "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[2].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": 346, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 346, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fig.savefig(\"end_to_end_single.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 +} diff --git a/lynx/end_to_end_fsdp.ipynb b/lynx/end_to_end_fsdp.ipynb deleted file mode 100644 index e9a9aab..0000000 --- a/lynx/end_to_end_fsdp.ipynb +++ /dev/null @@ -1,444 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "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", - " \"#455D7A\",\n", - " \"#233142\",\n", - " \"#F95959\",\n", - "]\n", - "\n", - "edgecolors = [\n", - " \"#FFFFFF\",\n", - " \"#FFFFFF\",\n", - " \"#FFFFFF\",\n", - "]\n", - "\n", - "hatches = [\"\\\\\\\\\", \"\", \"\"]" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(\n", - " figsize=(7, 14 / 1.7), ncols=1, nrows=3, constrained_layout=True, dpi=300\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [], - "source": [ - "labels_name = [\n", - " \"ModelA\\n8FSDP\",\n", - " \"ModelA\\n16FSDP\",\n", - " \"ModelB\\n8FSDP\",\n", - " \"ModelB\\n16FSDP\",\n", - " \"ModelC\\n8FSDP\",\n", - " \"ModelC\\n16FSDP\",\n", - " \"ModelD\\n8FSDP\",\n", - " \"ModelD\\n16FSDP\",\n", - "]" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "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": 48, - "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": 49, - "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": 50, - "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": 51, - "metadata": {}, - "outputs": [], - "source": [ - "legend_labels = [\"FSDP\", \"XLA\", \"DLRover-Lynx\"]" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "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": 53, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, '(a)')" - ] - }, - "execution_count": 53, - "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(\"(a)\")" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, '(b)')" - ] - }, - "execution_count": 54, - "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[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", - "\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, 150)\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(\"Throughput (tokens/s)\", fontsize=g_label_fontsize)\n", - "ax[1].set_title(\"(b)\")" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, '(c)')" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "label_set = set()\n", - "total_label = \"Non-Overlap Communication\"\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[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", - " ax[2].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", - " if total_label is not None:\n", - " total_label = None\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, 100)\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(\"Comm-Comp Overlap Ratio (%)\", fontsize=g_label_fontsize)\n", - "ax[2].set_title(\"(c)\")" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 56, - "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[2].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": 57, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "fig.savefig(\"end_to_end_fsdp.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 -}