paper_note/lynx/scalability.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import random\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": 237,
   "metadata": {},
   "outputs": [
    {
     "data": {
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NpBjWANDY7J2f2rp1a9x4441Vr/v06RPXXnttDicCaHjFdA2orKyMMWPGxMaNG6N169Zx3333RbNmzRrsfACFrFj2/zfeeCNj/bDDDov58+fHhAkTonXr1jvsMXjw4HjiiSeiefPmae+tWbMmxowZUx+jAuSFYtn/d6Rly5bx0EMPxbnnnrvDz912220xdOjQWL16dSNNBkBd7ArXsH8nWJHHUqlUxnpd06qVlZUZ60m3VqmLYlgDQGOzd37q9ttvj7Kysoj4NKV6xx135O2sAPWlmK4B//Vf/xV//vOfIyLilltuiX333bfBzgVQ6Ipl/1+wYEHG+siRI6Nnz5417vP5z38+vve972V875lnnolnnnkmq/kA8k2x7P87M2PGjPjDH/4QzZo12+GjQWbOnBmHH354vPXWW404HQDZ2FWuYf9KsCKPtWnTpkH6lpeXZ6zXNUGUSTGsAaCx2Ts/fYbyv96dYuLEifGFL3whhxMBNI5iuQa8+uqrVY/9OPnkk3f612kAu7pi2f8XLVqUsd67d+9a97ryyiujY8eOGd/78Y9/XOt+APmoWPb/HfnpT38aw4cPjw0bNsTDDz8cM2fOjP/8z/9M/Pw777wThx9+eMyePbsRpwSgtnaFa9i/E6zIY23bts1YT/qCqqmkZ9DUNUGUSTGsAaCx2TsjLr/88li/fn1ERHz5y1+O7373uzmeCKBxFMM14JNPPolvfOMbsW3btvjsZz8bv/71r+v9HADFphj2/23btsVHH32U8b3Pfvazte7XunXruOiiizK+N3369KrvFwAKWTHs/0m2b98eF1xwQYwbNy4qKyvjrrvuipEjR0aTJk3iRz/6UfzmN7/J+NiniIj169fHcccdF7NmzWq0eQGonWK+hiURrMhjDfUFuWnTpoz19u3b16lvJsWwBoDGtqvvnY899ljcc889ERGx1157xb333hslJSU5ngqgcRTDNeCKK66It956K0pKSuI3v/lN4l8bA/BPxbD/J4UqIiK6deuWVc+kOx6lUql44YUXsuoJkE+KYf/PZPv27XHaaafFr371q4iIGDt2bHzjG9+o9pkzzzwz/vSnPyXOtHHjxjjuuOPib3/7W0OPC0AWivUatiOCFXmsQ4cOGet1/YLcuHFjxnqvXr3q1DeTYlgDQGPblffOZcuWxTnnnBMRER07downn3wyOnXqlOOpABpPoV8D/vCHP8Rtt90WEZ/ewn3YsGH12h+gWBX6/h/x6R2LkmT7b/pevXpF//79M773l7/8JaueAPmkGPb/f5dKpeKss86Khx56KCIi9t577/jRj36U8bNHH310vPjii9GjR4+M73/00UcxYsSI2LBhQ4PNC0B2ivEatjOCFXmsT58+GetJSZ2a+uCDDzLWe/bsWae+mRTDGgAa2666d27bti1OO+20WLduXTRv3jymTp2a+L8FQLEq9GvAv/5l8U9/+tMoKSnJ6r+zzz47Y/+kzwMUukLf/yMidtttt8T32rVrl3Xf4447LmN95cqVWfcEyBfFsP//uxtuuCHuu+++qtc//OEPo7S0NPHzBx54YLz44ovRu3fvjO+/++67MW7cuPoeE4A6SrqGbd++vU7hinz+PYZgRR7r27dvxvqaNWuioqIi675r1qzJWE/6h0tdFMMaABrbrrp3XnLJJTFz5sxo0qRJ3H333TFkyJBcjwTQ6Ar9GrB69ep67Qewqyj0/T8ionXr1onvNW/ePOu+/fr1y1hft25d1j0B8kUx7P//6i9/+UuMHz++6vVnP/vZGD169E6P23vvveO5555L/KXZnXfeGa+99lq9zQlA3e25556JAeoVK1Zk3Teff48hWJHHOnbsmPEZlJWVlfH+++9n3XfVqlUZ64MGDcq6Z5JiWANAY9sV985f/vKXVbeOnzRpUnz961/P8UQAubErXgMAKI79v02bNonhii1btmTdN+mXjlu3bs26J0C+KIb9/19dcsklUVlZWfX65JNPjmbNmtXo2N69e8ef/vSn6Ny5c8b3f/rTn9bLjADUnwMOOCBjffny5Vn3zOefYQlW5LkBAwZkrC9btiyrfuXl5bF27dq0+u677x6f+9znsuq5M8WwBoDGtivtnY8//niMHTs2IiImTpwYF154YU7nAci1XekaAMA/FcP+v/fee2esr1+/PuueXbt2zVjv1KlT1j0B8kkx7P8REc8//3y88sor1WrDhg2rVY8+ffrEww8/nDGMMXXq1Ni8eXOdZgSgftX3NSwi4r333kurNWnSJA477LCse9YXwYo8d/zxx2esL1myJKt+ZWVlGeuDBw/Oql9NFMMaABrbrrJ3zp49O0477bTYvn17jB07ttrtIgF2VbvKNQCA6oph/z/wwAMz1rNdQ0RE27ZtM9aT/qIZoNAUw/4fEXHfffel1ZKuCzsyZMiQmDBhQlp9y5Yt8dJLL2UzGgANpL6vYZs3b874mNm+ffsmfl/QmAQr8tzIkSMz1l9//fWs+i1atChjfcSIEVn1q4liWANAY9sV9s65c+fGCSecEJ988kmcddZZcfPNN+dsFoB8UsjXgFQqVS//TZ48uVb9AYpBIe///3DkkUdmrM+dOzfrnkmPF8nml3UA+agY9v+IiBdffDGtlukxJzUxbty46NWrV1p98eLFWfUDoGEMHz48WrRokVbP9hq2ePHijD/nyZffAQtW5Lm99tor47MkX3vttaz6vfnmm2m1Zs2axcknn5xVv5oohjUANLZi3zvffvvtOO6442LDhg3x1a9+Ne68884oKSnJySwA+abYrwEAZFYM+//w4cMz1v/yl79k3XPTpk0Z60cddVTWPQHySTHs/xGZb/ue6ZdtNdG8efP45je/mVavy6OlAKh/rVq1yvjYp/q8hkVEfP3rX8+qX30TrCgAY8aMSavNmTMnq7/MypQQGj58eIM/l7IY1gDQ2Ip173z33XfjmGOOiRUrVsSxxx4b999/fzRt2rTR5wDIZ8V6DQBgxwp9//8//+f/xMCBA9Pq06dPz7rnBx98kFbr0aNH7Lfffln3BMg3hb7/R0TGWTPt4TU1ZMiQtFr79u2z7gdAw8h0DSsrK8sqDJfpGrb//vtH//79s5qtvglWFIDzzz8/2rVrV6324YcfxuzZs2vda+bMmWm1yy67LNvRaqwY1gDQ2Ipx73zvvffimGOOiaVLl8ZRRx0VU6dOjdLS0jr1/PGPf1ynH9QC5KNivAYAsHPFsP+fd955abX33nsv8a/PdmbBggU1OgdAISuG/T/TYz9WrlyZdb/PfvazabXu3btn3Q+AhjF69OjYe++90+pPPfVUrXv9+c9/Tqvl08+wBCsKwGc+85k4//zz0+pTp06tVZ/XXnstVq1aVa128MEHx7HHHlun+WqiGNYA0NiKbe9899134+ijj4533nknDjvssHjiiSeiVatWdep52223xdVXX+2vroGiU2zXAABqphj2/7PPPjs6d+6cVr/77ruz6vfKK69Ue92sWbP49re/nVUvgHxVDPv/YYcdllabNWtW1v3Ky8urvW7SpEkcccQRWfcDoGE0bdo0rrrqqrR6ba9ha9asiVdffbVarXv37nHWWWfVab76JFhRIC677LJo3bp1tVptvyAfeeSRtNp1111Xp7lqoxjWANDYimXvLCsriy9+8YuxZMmSOOSQQ+Kpp56Ktm3bZt2vsrIyfvazn8WFF14Yffv2jYMOOqgepwXID8VyDQCgdgp9/2/VqlVce+21afUpU6bERx99VOt+Dz/8cLXXF1xwQfTo0SPr+QDyVaHv/1/5ylfSao8//njW/RYuXFjt9ZFHHhldunTJuh9AIauoqEirVVZW5mCSzM4+++y0Ow09+eSTaSG5HZk2bVramr7//e/X+Y7X9UmwokB07949xo8fX622ePHimDFjRo2OLy8vjzvuuKNa7ZRTTokTTjihxjNMmzYtBg4cGKWlpdGrV6+44YYbavX/tPmwBoBCkw97Z133/7feeiuOOuqoKCsri8GDB8fTTz9d42diplKpqKioiE2bNsXy5cvj5ZdfjptuuikGDBgQV155ZVRWVsYZZ5xR41kACkkxXAMAqL1i2P8vuOCCGDRoULXaunXr4mc/+1mNe0REvPTSS/HGG29Uve7Ro0dcf/31teoBUCgKff/PdCv4P/zhD7Fo0aIan/9fPfDAA9Vejxs3Lqs+AMVg27ZtabWtW7fWW/8XX3wxvvCFL0SLFi2ie/fuceWVV9YqFNGiRYu0f+tv2rQpfv/739e4xy9+8Ytqrw899NCMd3PKqRQFY+vWralDDz00FRFV/33pS1+q0bHXX399teO6du2aWr58eY3P/cADD1Q7/h//XXzxxQWzBoBCVcj7/1//+tdUly5dMvaoj/9KSkpSS5curfF6AApNIV8D6mLy5MkZzw2wqyiG/X/hwoWptm3bVutRWlqamjt3bo2O37JlS6p///7V/u3/6KOP1moGgEJT6Pv/ww8/nHb8kCFDUhUVFTXukUqlUrNmzUqVlJRU9Tj22GNrdTxAsdl///3T9tfjjz++XnrPnDkztdtuu6X1HzFiRK17ffWrX63WY7/99ktt27Ztp8fde++91Y5r3bp16s0338xmOQ3KT6YKzJIlS1IdO3as9sU1ZcqUHR4zY8aMVGlpadXnW7RokZo1a1atzpvp/2EjItWkSZPUypUrC2INAIWsEPf/WbNmpTp06NBgoYqISH3xi1+s1XoAClEhXgPqSrACoDj2/6lTp6aaNm1arU+fPn1Sq1ev3uFx27dvT5155pnVjrvmmmtqdW6AQlXo+/+FF16Y1uM//uM/Utu3b6/R8e+8806qR48eVcfutddeDf79B0C++8xnPpO2t/bv379eeh9//PGJP39/+eWXa9Vrw4YNqb333rtajwkTJuzwmHnz5lW77pWUlKQeeeSRuiypwfjJVAGaNWtWqk2bNlVfYKWlpYlfYL/73e+qfbZt27apJ598stbnzJRU+sd/L730UkGsAaDQFdL+/8c//jHVqlWrBg1VRETqzjvvrPWaAApRIV0D6oNgBcCnimH/nzx5crW/Oo6IVL9+/VJvvfVWxs+vWbMm7S/dxo4dW+vzAhSyQt7/t23blhozZkxaj+OPPz71zjvvJB5XWVmZevDBB1OdOnWqOqZ79+6phQsX1notAMXkySefTAy+/fWvf61z/3333Tdx///tb39b636LFi1KdevWrVpQ4he/+EXGzz777LOprl27Vn12t912S02ePLmOK2o4JalUKhUUnJdffjlGjRoV77//flVt1KhRMXr06OjRo0eUlZXF3XffHc8//3zV+3369IkHHngg+vfvX+vz9e3bN+bNm5dWb9KkSaxYsSK6du2a92sAKAaFsP9PnTo1vv71r2d87lt9atGiRaxatSratWvXoOcByBeFcA2oL1OmTImzzz47re7bV2BXVAz7/7Rp0+LMM8+Mjz76qKrWvHnzOP300+PYY4+N7t27x7p16+LFF1+Me+65JzZs2FD1mZtuuikuvvjiWp8ToNAV8v6fSqXiO9/5Ttx4441RWVlZVS8tLY3jjz8+vvzlL8eee+4ZpaWlsW7dunj99dfjsccei/nz51d9dujQoXH//fc36PcdAPlq06ZNsXz58vjTn/4U3/ve96r9O/pfdenSJW644YYYMmRIfPazn41WrVrV+lwnnnhi/O///m/G915++eU49NBDa91z0aJFMXLkyFiwYEFVbejQoXHGGWfEXnvtFe+//3488MAD8eijj1a936NHj7j33ntj6NChtT5fo8ltroO6WLlyZer000/f6V/ztmvXLjVhwoRUeXl51ud68MEHM/au6/OVG3MNAMUi3/f/s846q8HvVBERqVNPPTXrdQEUqny/BtQXd6wAqK4Y9v8FCxakRowYUaN/65eUlKRGjhzpr5SBXV6h7/9vvPFG6rjjjqvVz3v233//1JQpU1IVFRVZnxegUP3mN7+p88/Nn3/++Vqd86WXXsp416IRI0bUaS0bN25MXXLJJWmPBvz3/1q0aJG69NJLUx9++GGdztcY3LGiCMyfPz8mT54czz33XLz99tuxadOm6Ny5cwwcODBOPPHEGDNmTL38Ne+0adNiwoQJMW/evOjWrVucf/75cfXVV0eTJk0KZg0AxaQY9n8AsuMaALBrKob9/4033oiHH344pk+fHkuXLo21a9dG06ZNY/fdd48DDjggjj766Bg9enTss88+dT4XQLEo9P1/8eLF8eSTT8af/vSnKCsrizVr1sT69eujdevW0alTp9hzzz1jyJAhccwxx8SQIUOipKSkzmsBKEQffPBBLFu2rE499tprr2jdunWtjnnxxRfj6quvjldffTU6dOgQZ5xxRlx//fXRokWLOs0SEbF06dK46667Yvr06bFgwYLYuHFjdOjQIQ444IA4/vjj45vf/GZ06dKlzudpDIIVAAAAAAAAAAAJ/JkRAAAAAAAAAEACwQoAAAAAAAAAgASCFQAAAAAAAAAACQQrAAAAAAAAAAASCFYAAAAAAAAAACQQrAAAAAAAAAAASCBYAQAAAAAAAACQQLACAAAAAAAAACCBYAUAAAAAAAAAQALBCgAAAAAAAACABIIVAAAAAAAAAAAJBCsAAAAAAAAAABIIVgAAAAAAAAAAJBCsAAAAAAAAAABIIFgBAAAAAAAAAJBAsAIAAAAAAAAAIIFgBQAAAAAAAABAAsEKAAAAAAAAAIAEghUAAAAAAAAAAAkEKwAAAAAAAAAAEghWAAAAAAAAAAAkEKwAAAAAAAAAAEggWAEAAAAAAAAAkECwAgAAAAAAAAAggWAFAAAAAAAAAEACwQoAAAAAAAAAgASCFQAAAAAAAAAACQQrAAAAAAAAAAASCFYAAAAAAAAAACQQrAAAAAAAAAAASCBYAQAAAAAAAACQQLACAAAAAAAAACCBYAUAAAAAAAAAQALBCgAAAAAAAACABIIVAAAAAAAAAAAJBCsAAAAAAAAAABIIVgAAAAAAAAAAJBCsAAAAAAAAAABIIFgBAAAAAAAAAJBAsAIAAAAAAAAAIIFgBQAAAAAAAABAgv8P23iyDsigTPsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 2100x1050 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(\n",
    "    figsize=(7, 7 / 2), ncols=1, nrows=1, constrained_layout=True, dpi=300\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels_name_a = [\n",
    "    \"1-node\",\n",
    "    \"2-node\",\n",
    "    \"4-node\",\n",
    "    \"8-node\",\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MFU\n",
    "data_a = {\n",
    "    labels_name_a[0]: [40.6, 0, 0],\n",
    "    labels_name_a[1]: [40.6, 0, 0],\n",
    "    labels_name_a[2]: [40.5, 0, 0],\n",
    "    labels_name_a[3]: [40.5, 0, 0],\n",
    "}\n",
    "\n",
    "data_pa = []\n",
    "data_pb = []\n",
    "data_pc = []\n",
    "\n",
    "for v in data_a.values():\n",
    "    v[1] = v[0] * 0.82\n",
    "    v[2] = v[0] * 1.2\n",
    "    data_pa.append(v[0])\n",
    "    data_pb.append(v[1])\n",
    "    data_pc.append(v[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [],
   "source": [
    "legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "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": 242,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(13.333333333333346, 0.5, 'MFU (%)')"
      ]
     },
     "execution_count": 242,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label_set = set()\n",
    "\n",
    "x_a = []\n",
    "x_b = []\n",
    "x_c = []\n",
    "\n",
    "for idx, (x_label, y_data) in enumerate(data_a.items()):\n",
    "    positions = group_positions[idx]\n",
    "    x_a.append(positions[0])\n",
    "    x_b.append(positions[1])\n",
    "    x_c.append(positions[2])\n",
    "\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.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.set_xticks(list(group_centers.values()))\n",
    "ax.set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax.set_ylim(0, 100)\n",
    "ax.set_yticks([0, 50, 100])\n",
    "ax.set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax.plot(x_a, data_pa, color=colors[0], marker=\"x\", linestyle=\"--\", alpha=0.68)\n",
    "ax.plot(x_b, data_pb, color=colors[1], marker=\"v\", linestyle=\"--\", alpha=0.68)\n",
    "ax.plot(x_c, data_pc, color=colors[2], marker=\"^\", linestyle=\"--\", alpha=0.68)\n",
    "\n",
    "\n",
    "ax.tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
    "ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "ax.set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd0c9575400>"
      ]
     },
     "execution_count": 243,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.legend(\n",
    "    ncol=3,\n",
    "    loc=\"upper center\",\n",
    "    frameon=False,\n",
    "    shadow=False,\n",
    "    bbox_to_anchor=(0.5, 1.12),\n",
    "    fontsize=g_label_fontsize,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2100x1050 with 1 Axes>"
      ]
     },
     "execution_count": 244,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.savefig(\"scalability.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
}