Cryo Ethereum Blocks Analysis Notebook

blocks-analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import os\n",
    "import shutil\n",
    "import subprocess\n",
    "\n",
    "import ctc\n",
    "import ctc.rpc\n",
    "from ctc.toolbox import pl_utils\n",
    "import polars as pl\n",
    "import matplotlib.pyplot as plt\n",
    "import toolplot\n",
    "import numpy as np\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up env\n",
    "\n",
    "pl_utils.set_column_display_width()\n",
    "\n",
    "data_path = './.data/ethereum__blocks__*.parquet'\n",
    "data_path = os.path.expanduser(data_path)\n",
    "\n",
    "def scan_df():\n",
    "    return pl.scan_parquet(data_path)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><style>\n",
       ".dataframe > thead > tr > th,\n",
       ".dataframe > tbody > tr > td {\n",
       "  text-align: right;\n",
       "}\n",
       "</style>\n",
       "<small>shape: (9, 9)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>describe</th><th>hash</th><th>author</th><th>number</th><th>gas_used</th><th>extra_data</th><th>timestamp</th><th>size</th><th>base_fee_per_gas</th></tr><tr><td>str</td><td>str</td><td>str</td><td>f64</td><td>f64</td><td>str</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;count&quot;</td><td>&quot;90000&quot;</td><td>&quot;90000&quot;</td><td>90000.0</td><td>90000.0</td><td>&quot;90000&quot;</td><td>90000.0</td><td>90000.0</td><td>90000.0</td></tr><tr><td>&quot;null_count&quot;</td><td>&quot;0&quot;</td><td>&quot;0&quot;</td><td>0.0</td><td>0.0</td><td>&quot;0&quot;</td><td>0.0</td><td>0.0</td><td>0.0</td></tr><tr><td>&quot;mean&quot;</td><td>null</td><td>null</td><td>1.8145e7</td><td>1.5119e7</td><td>null</td><td>1.6948e9</td><td>172033.700956</td><td>1.4805e10</td></tr><tr><td>&quot;std&quot;</td><td>null</td><td>null</td><td>25980.906451</td><td>5.4576e6</td><td>null</td><td>315719.235237</td><td>125780.415848</td><td>1.5248e10</td></tr><tr><td>&quot;min&quot;</td><td>&quot;b&#x27;\\x00\\x00\\x1cE\\x8f:c\\xaa8\\xbeR\\x03\\xf1\\xb6\\xc1L\\xbc\\x1c\\xfe\\xd7\\x8e5…</td><td>&quot;b&#x27;\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x00\\x0…</td><td>1.81e7</td><td>0.0</td><td>&quot;b&#x27;&#x27;&quot;</td><td>1.6943e9</td><td>1115.0</td><td>6.3389e9</td></tr><tr><td>&quot;max&quot;</td><td>&quot;b&#x27;\\xff\\xff\\x8f\\xa4\\x0b#\\xee\\xbc\\xc25\\x87\\xca\\xc6E\\xd1\\x933\\x05qm\\x11\\…</td><td>&quot;b&#x27;\\xff\\xee\\x08xR\\xcbH\\x98\\xe6\\xc3S.wnh\\xbch\\xb1\\x14;&#x27;&quot;</td><td>1.8189999e7</td><td>3.0027083e7</td><td>&quot;b&#x27;\\xf0\\x9f\\xa6\\x84&#x27;&quot;</td><td>1.6954e9</td><td>2.218857e6</td><td>4.1138e11</td></tr><tr><td>&quot;median&quot;</td><td>null</td><td>null</td><td>1.8145e7</td><td>1.3834218e7</td><td>null</td><td>1.6948e9</td><td>150470.0</td><td>1.0612e10</td></tr><tr><td>&quot;25%&quot;</td><td>null</td><td>null</td><td>1.81225e7</td><td>1.1426142e7</td><td>null</td><td>1.6945e9</td><td>96875.0</td><td>8.8218e9</td></tr><tr><td>&quot;75%&quot;</td><td>null</td><td>null</td><td>1.81675e7</td><td>1.7336263e7</td><td>null</td><td>1.6951e9</td><td>224152.0</td><td>1.6398e10</td></tr></tbody></table></div>"
      ],
      "text/plain": [
       "shape: (9, 9)\n",
       "┌───────────┬───────────┬───────────┬───────────┬───┬──────────┬───────────┬──────────┬────────────┐\n",
       "│ describe  ┆ hash      ┆ author    ┆ number    ┆ … ┆ extra_da ┆ timestamp ┆ size     ┆ base_fee_p │\n",
       "│ ---       ┆ ---       ┆ ---       ┆ ---       ┆   ┆ ta       ┆ ---       ┆ ---      ┆ er_gas     │\n",
       "│ str       ┆ str       ┆ str       ┆ f64       ┆   ┆ ---      ┆ f64       ┆ f64      ┆ ---        │\n",
       "│           ┆           ┆           ┆           ┆   ┆ str      ┆           ┆          ┆ f64        │\n",
       "╞═══════════╪═══════════╪═══════════╪═══════════╪═══╪══════════╪═══════════╪══════════╪════════════╡\n",
       "│ count     ┆ 90000     ┆ 90000     ┆ 90000.0   ┆ … ┆ 90000    ┆ 90000.0   ┆ 90000.0  ┆ 90000.0    │\n",
       "│ null_coun ┆ 0         ┆ 0         ┆ 0.0       ┆ … ┆ 0        ┆ 0.0       ┆ 0.0      ┆ 0.0        │\n",
       "│ t         ┆           ┆           ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│ mean      ┆ null      ┆ null      ┆ 1.8145e7  ┆ … ┆ null     ┆ 1.6948e9  ┆ 172033.7 ┆ 1.4805e10  │\n",
       "│           ┆           ┆           ┆           ┆   ┆          ┆           ┆ 00956    ┆            │\n",
       "│ std       ┆ null      ┆ null      ┆ 25980.906 ┆ … ┆ null     ┆ 315719.23 ┆ 125780.4 ┆ 1.5248e10  │\n",
       "│           ┆           ┆           ┆ 451       ┆   ┆          ┆ 5237      ┆ 15848    ┆            │\n",
       "│ min       ┆ b'\\x00\\x0 ┆ b'\\x00\\x0 ┆ 1.81e7    ┆ … ┆ b''      ┆ 1.6943e9  ┆ 1115.0   ┆ 6.3389e9   │\n",
       "│           ┆ 0\\x1cE\\x8 ┆ 0\\x00\\x00 ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ f:c\\xaa8\\ ┆ \\x00\\x00\\ ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ xbeR\\x03\\ ┆ x00\\x00\\x ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ xf1\\xb6\\x ┆ 00\\x00\\x0 ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ c1L\\xbc\\x ┆ 0\\x00\\x00 ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ 1c\\xfe\\xd ┆ \\x00\\x00\\ ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ 7\\x8e5\\…  ┆ x00\\x00…  ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│ max       ┆ b'\\xff\\xf ┆ b'\\xff\\xe ┆ 1.8189999 ┆ … ┆ b'\\xf0\\x ┆ 1.6954e9  ┆ 2.218857 ┆ 4.1138e11  │\n",
       "│           ┆ f\\x8f\\xa4 ┆ e\\x08xR\\x ┆ e7        ┆   ┆ 9f\\xa6\\x ┆           ┆ e6       ┆            │\n",
       "│           ┆ \\x0b#\\xee ┆ cbH\\x98\\x ┆           ┆   ┆ 84'      ┆           ┆          ┆            │\n",
       "│           ┆ \\xbc\\xc25 ┆ e6\\xc3S.w ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ \\x87\\xca\\ ┆ nh\\xbch\\x ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ xc6E\\xd1\\ ┆ b1\\x14;'  ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ x933\\x05q ┆           ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│           ┆ m\\x11\\x…  ┆           ┆           ┆   ┆          ┆           ┆          ┆            │\n",
       "│ median    ┆ null      ┆ null      ┆ 1.8145e7  ┆ … ┆ null     ┆ 1.6948e9  ┆ 150470.0 ┆ 1.0612e10  │\n",
       "│ 25%       ┆ null      ┆ null      ┆ 1.81225e7 ┆ … ┆ null     ┆ 1.6945e9  ┆ 96875.0  ┆ 8.8218e9   │\n",
       "│ 75%       ┆ null      ┆ null      ┆ 1.81675e7 ┆ … ┆ null     ┆ 1.6951e9  ┆ 224152.0 ┆ 1.6398e10  │\n",
       "└───────────┴───────────┴───────────┴───────────┴───┴──────────┴───────────┴──────────┴────────────┘"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pl.read_parquet(data_path).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysis of timestamps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average Block Time:  12.136534850387227\n",
      "Standard Deviation of Block Time:  1.2814744196308057\n"
     ]
    }
   ],
   "source": [
    "# get all timestamps in np array\n",
    "timestamps = scan_df().select(pl.col('timestamp')).collect(streaming=True).to_numpy()\n",
    "\n",
    "# calculate time difference between blocks\n",
    "time_diff = np.diff(timestamps, axis=0)\n",
    "\n",
    "print(\"Average Block Time: \", time_diff.mean())\n",
    "print(\"Standard Deviation of Block Time: \", time_diff.std())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18116470"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# get block number(s) with max time diff\n",
    "max_number = scan_df().filter(pl.col('timestamp') == timestamps[np.argmax(time_diff)]).select(pl.col('number')).collect(streaming=True).to_numpy()\n",
    "\n",
    "max_number[0][0] + 1 # add 1 to get block with gap before"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot\n",
    "plt.hist(time_diff, bins=20)\n",
    "plt.title('Unique Block Time Differences')\n",
    "plt.xlabel('Time Difference')\n",
    "plt.ylabel('Count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing extra_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get total gas used by unique extra_data\n",
    "result_df = scan_df().groupby('extra_data').agg(pl.col('gas_used').sum().alias('tot_gas_used')).collect(streaming=True)\n",
    "sorted_result_df = result_df.sort('tot_gas_used', descending=True).head(10)\n",
    "extra_data = sorted_result_df['extra_data'].to_numpy()\n",
    "# generate string labels for each extra_data bytes\n",
    "extra_data = [str(x) for x in extra_data]\n",
    "# bar chart of total gas used by unique extra_data\n",
    "plt.barh(extra_data, sorted_result_df['tot_gas_used'].to_numpy())\n",
    "plt.title('Total Gas Used by Unique Extra Data')\n",
    "plt.xlabel('Total Gas Used')\n",
    "plt.ylabel('Count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get avg gas used by unique extra_data\n",
    "result_df = scan_df().groupby('extra_data').agg(pl.col('gas_used').mean().alias('avg_gas_used')).collect(streaming=True)\n",
    "sorted_result_df = result_df.sort('avg_gas_used', descending=True).head(10)\n",
    "extra_data = sorted_result_df['extra_data'].to_numpy()\n",
    "# generate string labels for each extra_data bytes\n",
    "extra_data = [str(x) for x in extra_data]\n",
    "\n",
    "# bar chart of avg gas used by unique extra_data\n",
    "plt.barh(extra_data, sorted_result_df['avg_gas_used'].to_numpy())\n",
    "plt.title('Average Gas Used by Unique Extra Data')\n",
    "plt.xlabel('Avg Gas Used')\n",
    "plt.ylabel('Extra Data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get median base_fee_per_gas by unique extra_data\n",
    "result_df = scan_df().groupby('extra_data').agg(pl.col('base_fee_per_gas').mean().alias('avg_base_fee_per_gas')).collect(streaming=True)\n",
    "sorted_result_df = result_df.sort('avg_base_fee_per_gas', descending=True).head(10)\n",
    "extra_data = sorted_result_df['extra_data'].to_numpy()\n",
    "# generate string labels for each extra_data bytes\n",
    "extra_data = [str(x) for x in extra_data]\n",
    "\n",
    "# bar chart of avg base_fee_per_gas by unique extra_data\n",
    "plt.barh(extra_data, sorted_result_df['avg_base_fee_per_gas'].to_numpy())\n",
    "plt.title('Average Base Fee Per Gas by Unique Extra Data')\n",
    "plt.xlabel('Avg Base Fee Per Gas')\n",
    "plt.ylabel('Extra Data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# block size by unique extra_data\n",
    "result_df = scan_df().groupby('extra_data').agg(pl.col('size').mean().alias('avg_size')).collect(streaming=True)\n",
    "sorted_result_df = result_df.sort('avg_size', descending=True).head(10)\n",
    "extra_data = sorted_result_df['extra_data'].to_numpy()\n",
    "# generate string labels for each extra_data bytes\n",
    "extra_data = [str(x) for x in extra_data]\n",
    "\n",
    "# bar chart of avg size by unique extra_data\n",
    "plt.barh(extra_data, sorted_result_df['avg_size'].to_numpy())\n",
    "plt.title('Average Block Size by Unique Extra Data')\n",
    "plt.xlabel('Avg Block Size')\n",
    "plt.ylabel('Extra Data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing gas base_fee over time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get base_fee_per_gas and timestamp, sort by timestamp\n",
    "res = scan_df().select('base_fee_per_gas', 'timestamp').collect(streaming=True).sort('timestamp').to_numpy()\n",
    "\n",
    "# convert base_fee_per_gas to gwei\n",
    "res[:, 0] = res[:, 0] / 1e9\n",
    "\n",
    "# plot base_fee_per_gas over time\n",
    "plt.figure(figsize=(20, 10))\n",
    "plt.plot(res[:, 1], res[:, 0])\n",
    "plt.title('Base Fee Per Gas Over Time')\n",
    "plt.xlabel('Timestamp')\n",
    "plt.ylabel('Base Fee Per Gas (Gwei)')\n",
    "plt.yticks(np.arange(0, 450, 25))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing the gas used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get gas_used\n",
    "res = scan_df().select('gas_used').collect(streaming=True).to_numpy()\n",
    "\n",
    "# bell curve graph of gas_used\n",
    "plt.figure(figsize=(20, 10))\n",
    "plt.hist(res, bins=100)\n",
    "plt.title('Gas Used')\n",
    "plt.xlabel('Gas Used')\n",
    "plt.ylabel('Count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Analyzing block size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get size\n",
    "res = scan_df().select('size').collect(streaming=True).to_numpy()\n",
    "\n",
    "# bell curve graph of gas_used\n",
    "plt.figure(figsize=(20, 10))\n",
    "plt.hist(res, bins=150)\n",
    "plt.title('Block Size')\n",
    "plt.xlabel('Block Size (bytes)')\n",
    "plt.ylabel('Count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get size and timestamp, sort by timestamp\n",
    "res = scan_df().select('size', 'timestamp').collect(streaming=True).sort('timestamp').to_numpy()\n",
    "\n",
    "# plot size over time\n",
    "plt.figure(figsize=(20, 10))\n",
    "plt.plot(res[:, 1], res[:, 0])\n",
    "plt.title('Block Size Over Time')\n",
    "plt.xlabel('Timestamp')\n",
    "plt.ylabel('Block Size (bytes)')\n",
    "plt.yticks(np.arange(0, 450, 25))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# block size box and whisker plot\n",
    "plt.figure(figsize=(20, 10))\n",
    "plt.boxplot(res[:, 0])\n",
    "plt.title('Block Size')\n",
    "plt.ylabel('Block Size (bytes)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Min:  1115\n",
      "Average:  172033.70095555554\n",
      "Median:  150470.0\n",
      "Std Dev:  125779.71706563157\n",
      "Max:  2218857\n"
     ]
    }
   ],
   "source": [
    "# Print some summary statistics\n",
    "print(\"Min: \", np.min(res[:, 0]))\n",
    "print(\"Average: \", np.mean(res[:, 0]))\n",
    "print(\"Median: \", np.median(res[:, 0]))\n",
    "print(\"Std Dev: \", np.std(res[:, 0]))\n",
    "print(\"Max: \", np.max(res[:, 0]))"
   ]
  }
 ],
 "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}