Terabyte_L1_Cache_Monte_Carlo_Simulation.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyPPucC8wSo5AGuLV9tpE96U",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/OJB-Quantum/Notebooks-for-Ideas/blob/main/Terabyte_L1_Cache_Monte_Carlo_Simulation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Monte Carlo simulation of a trend towards achieving terabyte level L1 cache memory. See below for gigabyte level L1 cache memory."
      ],
      "metadata": {
        "id": "BCstvk1WraL8"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Ry6i0ZQ1rY8m",
        "outputId": "2bb367b4-b031-4613-c6fd-78e5fe94ccbf"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Simulation runs: 10000\n",
            "Required Doublings to 1TB from 64KB: 24\n",
            "Mean Years to Achieve: 60.2\n",
            "Median Years to Achieve: 60.2\n",
            "Min/Max Years to Achieve: 47.3/74.3\n",
            "Mean Finish Year (starting 2025): ~2085\n",
            "Median Finish Year (starting 2025): ~2085\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1280x960 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import numpy as np\n",
        "import statistics\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Onri prefers using rcParams to increase the quality of all plots to be higher than the default settings.\n",
        "# This only needs to be done once at beginning of every Jupyter Notebook.\n",
        "plt.rcParams['figure.dpi'] = 200\n",
        "\n",
        "# --- Simulation Parameters ---\n",
        "NUM_SIMULATIONS = 10_000\n",
        "DOUBLINGS_REQUIRED = 24\n",
        "\n",
        "# Mean and std dev for the doubling interval (in years):\n",
        "MEAN_DOUBLING_TIME = 2.5\n",
        "STD_DOUBLING_TIME = 0.75\n",
        "\n",
        "# We'll clamp doubling times to [0.5, 10] years as a sanity check\n",
        "MIN_DOUBLING = 0.5\n",
        "MAX_DOUBLING = 10.0\n",
        "\n",
        "# Optional: define a small probability of \"breakthrough\" or \"stall\"\n",
        "# that modifies the doubling time distribution. We'll keep it off for now\n",
        "BREAKTHROUGH_CHANCE = 0.0\n",
        "STALL_CHANCE = 0.0\n",
        "\n",
        "def random_doubling_time():\n",
        "    \"\"\"\n",
        "    Returns a random doubling time drawn from a truncated normal distribution.\n",
        "    Could incorporate special 'breakthrough' or 'stall' events.\n",
        "    \"\"\"\n",
        "    while True:\n",
        "        time = np.random.normal(MEAN_DOUBLING_TIME, STD_DOUBLING_TIME)\n",
        "        # Clamp to a reasonable range\n",
        "        if time > MIN_DOUBLING and time < MAX_DOUBLING:\n",
        "            break\n",
        "\n",
        "    # Optionally incorporate random breakthroughs or stalls\n",
        "    # if np.random.rand() < BREAKTHROUGH_CHANCE:\n",
        "    #     time *= 0.5  # Halve the time needed for a doubling\n",
        "    # if np.random.rand() < STALL_CHANCE:\n",
        "    #     time *= 2.0  # Double the time needed for a doubling\n",
        "\n",
        "    return time\n",
        "\n",
        "def simulate_one_run():\n",
        "    \"\"\"\n",
        "    Sums random doubling intervals until we reach the required number of doublings.\n",
        "    Returns the total time in years.\n",
        "    \"\"\"\n",
        "    total_time = 0.0\n",
        "    doublings_done = 0\n",
        "\n",
        "    # Keep adding doubling intervals until we hit DOUBLINGS_REQUIRED\n",
        "    while doublings_done < DOUBLINGS_REQUIRED:\n",
        "        total_time += random_doubling_time()\n",
        "        doublings_done += 1\n",
        "\n",
        "    return total_time\n",
        "\n",
        "# --- Monte Carlo Simulation ---\n",
        "results = [simulate_one_run() for _ in range(NUM_SIMULATIONS)]\n",
        "\n",
        "# Analyze results\n",
        "mean_years = statistics.mean(results)\n",
        "median_years = statistics.median(results)\n",
        "min_years = min(results)\n",
        "max_years = max(results)\n",
        "\n",
        "# Let's imagine we start counting from 2025\n",
        "start_year = 2025\n",
        "mean_finish_year = start_year + mean_years\n",
        "median_finish_year = start_year + median_years\n",
        "\n",
        "# Print out some summary statistics\n",
        "print(f\"Simulation runs: {NUM_SIMULATIONS}\")\n",
        "print(f\"Required Doublings to 1TB from 64KB: {DOUBLINGS_REQUIRED}\")\n",
        "print(f\"Mean Years to Achieve: {mean_years:.1f}\")\n",
        "print(f\"Median Years to Achieve: {median_years:.1f}\")\n",
        "print(f\"Min/Max Years to Achieve: {min_years:.1f}/{max_years:.1f}\")\n",
        "print(f\"Mean Finish Year (starting 2025): ~{mean_finish_year:.0f}\")\n",
        "print(f\"Median Finish Year (starting 2025): ~{median_finish_year:.0f}\")\n",
        "\n",
        "# Plot the distribution\n",
        "plt.hist(results, bins=50, color='skyblue', edgecolor='black')\n",
        "plt.title(\"Distribution of Years Required to Reach 1TB L1 (Monte Carlo)\")\n",
        "plt.xlabel(\"Years to Achieve (from 2025)\")\n",
        "plt.ylabel(\"Frequency\")\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Below is a Lowess fitting curve applied to the data"
      ],
      "metadata": {
        "id": "ooiYKpvpsNzf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
        "\n",
        "# Sort results in ascending order\n",
        "sorted_results = np.sort(results)\n",
        "\n",
        "# Create an x-axis from 0 to NUM_SIMULATIONS-1\n",
        "x = np.arange(NUM_SIMULATIONS)\n",
        "\n",
        "# Apply LOWESS for a smoothed regression-like curve\n",
        "# frac determines the fraction of data used when estimating each y-value\n",
        "# A smaller frac means less smoothing; larger frac means more smoothing.\n",
        "smoothed = lowess(sorted_results, x, frac=0.05)\n",
        "\n",
        "# smoothed is an array of shape (NUM_SIMULATIONS, 2) => [[x_i, y_i_smoothed], ...]\n",
        "x_smooth = smoothed[:, 0]\n",
        "y_smooth = smoothed[:, 1]\n",
        "\n",
        "# Plot the original sorted data (thin line or scatter)\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.plot(x, sorted_results, label='Sorted Monte Carlo Results', alpha=0.3)\n",
        "\n",
        "# Plot the smoothed LOWESS curve\n",
        "plt.plot(x_smooth, y_smooth, color='red', linewidth=2.0, label='LOWESS Smoothed Curve')\n",
        "\n",
        "plt.title(\"Monte Carlo Distribution of Years to Reach 1TB L1 + Smoothed Fit\")\n",
        "plt.xlabel(\"Simulation Index (sorted by years)\")\n",
        "plt.ylabel(\"Years to Achieve (Ascending)\")\n",
        "plt.legend()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "mRg6hVWjsMqu",
        "outputId": "a5456fcb-4b87-4f76-e372-c3bdcc0d6450"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2000x1200 with 1 Axes>"
            ],
            "image/png": 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jjzzidYk8d+/bkiVL1KdPH1WrVk1hYWGqW7euHnjgAR08eDC3b1G+ZL4/me+Bw+HQxIkT1a5dO1WoUEFlypRRs2bN9NJLLyk5OTnH/n799Vfdc889qlWrlsLDw1WrVi0NHjxY69evz1NdR48e1VNPPaWWLVuqYsWKCgsLU61atXTHHXdo6dKlbo95+eWXnb/Lv/71L499//DDDwoNDZVlWercubMcDkeeapPknDVYpkwZde/e3WvbHTt2aNy4cWratKnKli2r0NBQ1ahRQ9dee61GjBihzz77TKmpqR6P/+6773T33XerTp06Cg8PV/ny5dWiRQs9/fTTOnHihMfj4uPjne9HfHy8HA6Hpk6dqs6dO6tq1aqy2Wy65557nPcTmzFjhiTpt99+c3uOuJOSkqL//ve/6tKli/O8rFKlim655RZNmTJFGRkZOb2VWrNmjW6//XZVq1ZN4eHhqlu3ru677z5t3749x2PzIzU1VW+88Yauu+46lStXTtHR0WrTpo3ee+892e12l/Y///yz8z149dVXc+x//Pjxzvbr1q3LVU3p6emqVq2aLMvK8fMkSVu2bMnxs56fcyjT6dOnNW3aNP35z39W48aNFRUVpdDQUFWrVk3dunXTxIkTlZaW5vF4T/8f6tmzp2rUqKHg4GCX/38V5DypUqWKOnToIEn65JNPvP5uAAAAxYYBAAAA3Dh16pSRZCSZ5s2bF6ivjh07GkmmY8eOLvv27t3rfJ1p06aZBx54wPn88p+BAweajIwMk5KSYm677TaP7e699163dVz+Wt7Url3bSDLDhg1z2bd8+XJnP8uXL3fZP23aNI+1Zf4EBQWZd999N1/HSjJ79+51HjNs2DAjydSuXdvj7/Pyyy8bm83msb+wsDAzY8aMXL1vTzzxhMd+YmJizNatW72+t95k/f3d/Rll3f/LL7+YLl26eKyldevW5sKFCx5f67PPPjNhYWFujw0ODjaTJ0/O1Xv70UcfmTJlynj98xo5cqRJT0/PdpzdbjcdOnQwkkxoaKjZtGmTS99JSUnmqquuMpJM+fLlzf79+3P7VmbTqVMnI8l06NDBa7tZs2aZ0NDQHD9/mzdvdjnWbrebsWPHej2uXLly5ptvvnH72lnPq8WLF5tbbrnF5fhhw4aZZ599NlfnyOV+/PFH53nt6adVq1bm6NGjHt+fN9980+N5VKZMGRMXF+d1vMuNrJ/xjRs3muuvv95jvTfddJM5f/68Sx+tWrUykkyjRo1yfL0WLVoYSaZJkyZ5qvPRRx81kozNZjMHDx702vaRRx5xnldHjhxx2Z/fcyhTTn+ukkyLFi3cvrYx2ce4qVOnmrvvvtvl+Kx/ngU5TzJljqOhoaFexykAAIDigjAJAAAAHmW9QPfqq68au92er35yGya1adPGSDI9e/Y0X3zxhfnhhx/MvHnznNslmUmTJplx48YZSWbw4MFm4cKF5ocffjCffvqpadSoUbaL0d5eqzDDpEmTJpkKFSqYe+65x0ydOtWsXLnSbNy40SxcuNC88MILpnLlykaSsSzLLFu2LNuxp0+fNps3b84Wqm3evNnlJy0tzXlMToHHu+++6+wrJibGvPHGG2b16tXmu+++M88995zzIq5lWSYuLs7r+9auXTvnn+XHH39sNmzYYJYuXWqGDh3qbHPDDTd4fW+9yUuY1K5dO2Oz2cywYcNMXFyc+eGHH8zcuXNN27ZtnW2eeOIJt6+zbt06ExwcbKRLQdoTTzxhVqxYYdauXWveeecdU61aNRMSEmKaN2/u9b397LPPjGVZRpKpV6+eefPNN81XX31lfvjhB/P555+bnj17Omt55JFHXI7ft2+fKVeunJFkrr76apOcnJxt/+jRo53Hf/LJJ3l+P40xJi0tzURERBhJ5i9/+YvHdkePHnV+FqpUqWJeeOEF880335iNGzea77//3syYMcOMGDHCVKxY0e1F8sxwQZKpW7eumTBhglm3bp1Zvny5eeSRR0xISIjz4vmPP/7ocnzW86pZs2ZGkunbt69zLFi0aJH59NNPzbFjx8zmzZtNv379jCRTo0YNt+dIVjt37nS+z9HR0ebJJ580c+fONRs2bDBff/21GTt2rPPz0KZNm2znV6YvvvgiWyj28ssvm1WrVplVq1aZf/7znyY6OtqUL1/eNGjQwGdhUmYo9Kc//cksWrTIbNiwwXz88cfO7ZJM//79Xfr44IMPnPtXrVrl8bV+/PFHZ7t///vfeapz+/btzmNffvllj+3S0tJMTEyMkWT69Onjsr+g55AxxsTGxpo2bdqYF1980SxcuNCsX7/efP/99+ajjz4y3bt3dxsIZZV1jMv87HXo0CHbGDd58mRjTMHPk0xZP09Llizx8k4DAAAUD4RJAAAA8OiNN97I9i3rOnXqmAcffNB8+umnZs+ePbnuJ7dhkiTz8MMPu7RJSkpyhjuVKlUylmWZ//znPy7tjhw5YsqWLeu8CO3ttQozTDp48KBJSkry2PeZM2ecFyzbt2/vtk3W2Rc58RYmHT9+3ERGRjovurub2bJx40bnxdGaNWu6XEi//M/o3nvvNQ6Hw6WfUaNGOdts3Lgxx7rdyUuYJMl8+OGHLm1SUlJM06ZNnZ8Xd7MZWrZsaSSZkJAQk5CQ4LL/4MGDJjY21vk67t7bEydOOAOKESNGeJw18fe//91Il2ZwbNu2zWX/Rx995HydsWPHOrfPnz/fuX3IkCFu+86NtWvXen2/Mk2ZMiVXMyqSk5NdQq+ff/7ZOWOnadOm5vTp0y7HLV682NmmdevWLvuznleSzNNPP+3198rNrLFMmSFoixYtzIkTJ9y2yVrfxIkTs+1LTU01NWrUcAZJ7mbfbd682URHR+cYXOTk8s+4u6AmPT3ddOvWzdnm8hD43LlzznPa00xNY4x58MEHnefB8ePH81xr5sy6hg0bemyTNTSZO3dutn2+Ood27Njhtc6pU6c6a1i6dKnL/svHuKFDh7od44wp2HmS1W+//ebs59VXX/VaPwAAQHHAPZMAAADg0SOPPKIRI0Y4n+/bt0/vvPOO7rzzTtWrV0/VqlXTnXfeqQULFni8T1Fe1KpVy+39NCIjIzVs2DBJ0qlTp9SmTRs99NBDLu2qVaumAQMGSJJWrlxZ4Hryq2bNmoqMjPS4v1y5cnrhhRckXbq/zKlTpwqtlmnTpjnvHfTmm2+qVq1aLm1atGihJ598UpJ06NAhzZs3z2N/1atXd95j5XJ/+9vfnI/98f4PHDhQf/7zn122h4WF6f/+7/8kXfq8XH5/qvXr12vDhg2SpNGjR+umm25y6aNmzZr697//7fX133//fZ09e1Y1a9bUe++9p+DgYLftnn/+edWsWVMOh0MzZ8502T9kyBDdddddkqR3331Xixcv1rFjxzRy5EhJUu3atfXuu+96rcWbrPexqlKlisd2R48elSRVqFBBTZs29dguIiJCERER2ba9//77zns5TZ48WeXLl3c5rnv37s7xZN26dV7vS9WwYUM999xzHvfnxcqVK7Vq1SpJ0owZM1S5cmW37bp3767bbrtNklzuqfbll1/q8OHDkqR//OMfuvrqq12Ob9q0qZ566imf1JypWbNmeuKJJ1y2BwcHa/LkyQoJCZEkvffee9n2ly1bVnfccYck6bPPPnPe/y6rtLQ0/e9//5Mk9e7dWzExMXmub9SoUZIu3T/o+++/d9tm2rRpki599nr37p1tn6/OoQYNGnitc/jw4br22mslyev4Jknly5fXf//7X4/33SrIeZJV1nNxz549XmsCAAAoDgiTAAAA4JHNZtOUKVP0zTffqHv37i4X+o4dO6bPPvtMffv2VevWrbV79+4Cvd7AgQOdF0cv17x5c+fjP/3pTx77yGx3+vRpnTlzpkD1+EpSUpL27dunX375RVu2bNGWLVuy/Z4//fRTob125o3ry5cvr4EDB3psl3lROOsx7tx2220KCwtzu++qq65SVFSUJP9cHB0yZIjHfddff73z8eW1ZP39hg8f7rGPAQMGuA1FMs2fP1/SpQvxnt4T6dKF/7Zt20qSVq9e7bbNe++9pyuuuMJZ0+DBg3XixAnZbDZ9+OGHKleunMf+c3LixAnn4woVKnhsV716dUmXzp0vv/wyT6+R+Z42adJEbdq08dju3nvvdTnGnT/96U8KCgrKUw2eZP45XXXVVbrmmmu8ts0MFtevX6+MjAzn9sxaLctyBtvuDB8+3GMIkR/Dhg3z2F9sbKy6du0qSYqPj5fdbs+2P/OcPnfunD7//HOX4xcsWOAMsrN+aSAvbr/9dudnMzM0yurYsWNavHixJOnuu+92+X+IL8+hTMYYHT16VDt27HCOt1u2bFHNmjUl5Tze9unTR2XLlvW4vyDnSVbh4eHOsCkzoAIAACjOCJMAAACQo1tvvVWLFy/WqVOntGjRIj3//PPq06dPtgvcGzZsUIcOHXTkyJF8v07Dhg097st6UT+37c6fP5/vWgrq5MmT+vvf/66rrrpKZcuWVd26ddW0aVNdc801uuaaa9SrV69sbQvLli1bJEnXXXedx6BOkqpWrao6depkO8adRo0aeX29zLDCH++9t1oqVqzofHx5LZs3b5YkhYaGZgspLxcSEqIWLVq43We32/Xjjz9Kkj744ANZluX1Z86cOZI8XzQuX768Zs6cKZvNpmPHjunbb7+VJD3++OPq0KGDxxpzIzEx0fnYW5jUt29f5/kzYMAA3XzzzXrrrbf0ww8/uAQVWaWmpmrnzp2S5DVIki7Ngsv8HHr7nDVr1sxrP3mROQtt+/btOf45Zc5oS09Pz/a+ZX5m6tat63FmkyTFxMQ4zyNfaNWqldf9rVu3lnQpsL48NG3Xrp0aN24syX3Qk7mtevXq6tGjR77qi4iI0ODBgyVJs2bNcs6CzPThhx86Q7nLAytfn0NxcXHq3bu3ypUrp+rVqzvDw8yfuLg4STmPtzl99vJ7nriTeT4mJSXl6TgAAICiQJgEAACAXIuOjlaPHj30zDPPaP78+Tp27JimTp3qvCB25MgR/eMf/8h3/96WhrPZbHlul9cLe77yww8/qFGjRnrllVe0Y8eOHJcAdLcEla9kXhD3trxZpmrVqmU7xh1v7730x/vvj/c+v5+DzN+vYsWKOc5+qVq1qtvtiYmJ2Wau5NblF9uz6tixo+6++27n88aNG+v555/P82tcLjw83PnY22etUqVKmj9/vmrWrCljjJYvX66//OUvatmypSpWrKiBAwdq4cKFLsedPn3a+Tinz1lISIgqVaokyfvnzFvolVfHjx/P13FZ/6zych55+szkR06vl/W13L2fmUslLl++XPv27XNuP3LkiL766itJ0tChQws0CyxzBtT58+edgU+mzMCqTZs2zmAra72+OIeMMRo1apR69+6tuLi4HIPsnMbbnD57+T1PvNXiLegHAAAoLtwvSAwAAADkQlhYmIYPH64aNWqoe/fukqQvvvhCEydOzHYxvzRJS0vTHXfcoVOnTikkJETjxo1Tv3791LBhQ1WoUMG5lNOePXtUv359SfLJ/aZy4sultwJFQd6TrAHVqFGj3N7Dy53Q0FCP+w4cOJBt2ay9e/dq165dbu/PkxdZ74XjLcCRpA4dOmjXrl36/PPPtWjRIq1YsUIHDx7UuXPnNHfuXM2dO1fdunXTF1984TbM89XnzFdL3El//Fk1b95cH330Ua6Py1wWLSt/n0cFfb2hQ4fqySefVFpammbMmKFnn31WkjRz5kzn+5LfJe4yXXfddWrRooU2bdqkadOmaejQoZKktWvXOu9X5u41fHUOTZ06VVOmTJEkXXvttXr44YfVpk0b573rMj9LQ4cO1YcffpjjeJubz15BzxNJcjgcOnv2rCR5XU4TAACguCBMAgAAQIF169ZNtWrV0oEDB3T69GmdOnUqXzdzL2xZAy6Hw+G1bX6XHfr222+dy02999572e5FlFVOF/V9pWLFijpy5IiOHTuWY9vM5aOyLhEXiDJnHpw6dUp2u93rxWNP71vW98gYo6ZNmxaoJofDoaFDh+rMmTMKCQlRcHCwLl68qCFDhmjt2rUFmrmQ9VzMOovIk/DwcA0ZMsR5T6q9e/cqLi5O48eP144dO/T111/rqaee0ltvvSUp+0yOnD5nGRkZzvv0+OtzljkT6sKFC/n+c8r8HXNzHuWmTW4dO3bM67KeWV/L3ftZuXJl9evXT7Nnz9aMGTP0zDPPyLIsTZ8+XZJ04403eu0/t0aNGqWxY8cqISFBe/fuVd26dZ2zkiIjI3XnnXe6HOOrc2jSpEmSpCuvvFKrVq1y3ofocr4ec/N6nlzu7Nmzzv8PZd4vDQAAoDgrnV8XBYD/b+/eY6qu/ziOv0ABDyJMyhs6yBtmZZIgSppSeRmJZJlYmXlZFirlnExNXWZOK3Gmabos74ritJaXKTYTEM24HLTUaaKESmxmzsw0Rfj+/mDn+wPle0A4ptnzsbEdzvlcv+e8v3+c9/l8PgAAlwsICDAf36urYMofqu7sS/ULFy6YX3jfriNHjpiPBw8ebFnOcY6LFVddQ8cXtHa73emWUufOnVNBQUGFOverDh06SCpbRXbo0CHLcjdu3DDPdLmZp6enHn30UUnSvn37aj2muXPnKjU1VZI0ffp0zZkzR5KUm5tbq60jpf/PV5J+/vnn267fsmVLxcfHKysrSy1atJBUdj6Og5eXl9q2bSupbDWKM7m5uSouLpZU+89ZdWPEce7VqVOnLM/bqYrjGubn5zu9N/z2228VtpOrraysrGq97u3trVatWlVaxpHQzs/PV2pqqvbv369jx45Jqv2qJIchQ4bIZrPJMAytXLlSV69e1YYNGyRJAwcOlK+v7y11XBVDjntuTEyMZSLJMAzZ7fYa91EdVcXJzcrHouM6AAAA3MtIJgEAAKDWrly5Ym5n5Ovra64EuNc0bNjQ3E7IWTJnw4YNNd56rnzCxmp1U2lpqflreivlz7m5du1ajcYiSb169ZIkXbx4UV999ZVluWXLlplzdtS5X5Wf36pVqyzLff31106TjjExMZKkY8eOKSUlpcbjOXjwoJkw6t69uyZPnqz4+HhFRUVJkhITE7V3794atx8QEGAmGqpKTjjj6+urzp07S5LOnz9f4TXHNT1y5IgyMzMt2/jyyy9vqVNTjhipKj4c75NhGFqwYEGN+nKM1TAMrV692rLcypUrXbptpbNt2QoLC7Vr1y5JUmRkpOUKu169eikoKEhS2RlGjhVDPj4+io2Ndck4/fz89NJLL0kqi6lNmzaZW7g5S1i5IoYc91xnq0m/+eYbFRUV1aj92+UsTsorH4tdunS54+MCAACoLZJJAAAAqNTly5fVpUsXbdu2zemWcKWlpXr77bfNQ89jYmLu2ZVJktSjRw9JZV8unjx58pbXjx8/XquVII4VGpLMraRu9u6771b5K/lmzZqZjysbZ3WNGDHCPLNjwoQJKiwsvKXMoUOHNHv2bEll58QMGDCgxv39G4SHh6tTp06SpCVLligjI+OWMkVFRUpISHDazrhx4+Tj4yOp7DqXX5VWme3bt+vHH3+s8Nzff/+tIUOG6Pr16/L19dWaNWvMpMDy5cv14IMPqrS0VEOHDtWlS5eqPcebPfXUU5LkNNGTkpLi9Av3P/74w6zfsmXLCq+NHj3a3EbyzTffrHSsu3btMs+2CQ8PN79wrylHjJw7d868/1SmT58+Cg8Pl1SWmHO2WkSSfvrpJ23durXCcwMGDDD7mzlzpo4fP35LvaNHj2rWrFm3NYeqHDx4UImJibc8f+PGDY0aNUrXr1+XVHb9rbi7u5sJnc2bNys5OVmSNGjQIPPz6wqOFVAFBQWaOHGiJKl169bq2bOnZR1XxJDjnrt169ZKt7I7efKkxo4dW/2JVKE2cVKeo0xgYKDatWvnsvEBAADcKSSTAAAAYCkzM1P9+/dXYGCg4uPjtW7dOmVkZOjQoUNKS0vT/PnzFRISouXLl0sq+3X6zJkz7/KonRszZowk6erVq4qMjNSyZctkt9uVnp6u6dOnq0uXLvL396/xmU99+/ZV48aNJUnTpk1TXFycUlJSlJOTo+TkZPXq1Utz5sxRt27dnLbz5JNPmo/Hjx+v9PR0nThxQnl5ecrLy3O6ZV15jRo1Mr+MPnv2rEJDQzV//nxlZmZq//79+uCDD9S9e3ddvnxZbm5uWrp0aa3O5/m3WLx4serWravi4mL17t1bU6ZMUUZGhrKysrRo0SKFhoaqqKhIHTt2tGyjSZMmWrVqldzc3FRUVKSwsDCNHj1aW7Zskd1u1w8//KDNmzdr0qRJat26taKjo3X69OkKbUycONFc1bdw4UI99NBD5mtNmzY1V/IUFBQoPj6+xvN9/vnnJUmnT59WXl5epWXWr1+voKAg9evXTwsWLNDu3buVm5ur9PR0LV68WBEREWYyMi4urkLdDh06aMKECZLKkpOdOnXSF198oezsbKWlpSkhIUHR0dEqKSmRp6enPv/88xrPxcERI6WlpYqLi9OBAwfM+Lh5jklJSfL391dJSYkGDx6smJgYrVu3TpmZmcrJydGOHTs0e/ZsRURE6PHHH1daWlqF+p6enlq4cKGksi0yu3btqo8++kgHDhzQ999/rw8//NAcT5s2bWo9N4ewsDBNmjRJr776qnbu3Cm73a7k5GR169ZNO3bskCT1799f0dHRTtsZOXKk3N3ddeXKFTPx5qot7hx69Ohhnr/k2E5w+PDhTn9c4IoYev311yVJv/76qyIiIrR8+XJlZmYqPT1d77//vkJDQ3XhwgUzgVxbtYkTB8MwtGfPHknSCy+84JJxAQAA3HEGAAAAUImrV68aTZs2NSRV669t27ZGdnZ2pW317NnTkGT07Nnzltfy8/PNNlasWGE5nj179pjl9uzZY1luxYoVZrn8/PxKy7zzzjuW8wgMDDSOHj1qBAUFGZKMYcOG3fZYdu7cadSrV8+yj8jISOPw4cNVzjs2NtayjfJzGzZsmCHJCAoKsrwus2bNMtzd3S3b8/LyMlatWlVp3eq+R4ZhOL1u1VH+/ausr+q8v9Udc1JSkuHp6Vnp9ahbt66xdOnSal3bLVu2GP7+/lXGiLu7u/Hdd9+Z9VJSUgw3NzdDkjFo0CDL9t944w2zjY0bN1qWc6a4uNiM5xkzZlRaxjHXqv7i4uKMkpKSW+qXlJQYY8aMcVrXz8/PSElJqbT/6sZ4+f66du1q2dfNjh8/bjz22GPVmqPVNUpMTDTfs5v/vL29jW3btjm931VH+c+43W43nnjiCctxduvWzbh06VK12o2KijLrBQcH12hsVfn4448rfN7PnDlTrXo1jSHDMIzr168bffr0saxjs9mMjRs3Oo3l27nH1TZODMMwUlNTzXJZWVnVukYAAAB3GyuTAAAAUKl69eqpsLBQ+/bt04wZMxQVFaVWrVqpfv36qlOnjnx9ffXwww9r8ODBSkpK0uHDhxUaGnq3h10tCxYsUFJSknr06CFfX1/ZbDa1a9dOkydPlt1uV/v27WvVft++fZWdna3XXntNAQEB8vDwUKNGjdSzZ08tXbpUu3fvVv369atsZ+3atZozZ47Cw8Pl5+dnbiNWE1OmTFFubq5GjRql1q1by2azqX79+mrfvr3GjRunY8eOmb/w/6945ZVXlJubq6FDhyogIECenp5q3ry5YmNjlZGRoVGjRlWrnf79+ys/P19z587VM888oyZNmsjDw0M2m00tW7ZUdHS05s2bp19++UVPP/20JOn333/X8OHDZRiGmjdv7nSlzvz5882tvN56661KtyqsSt26dTVixAhJZat0KvPJJ59o7dq1GjlypMLCwtS8eXN5enrKZrMpODhYw4YN0969e7VkyZJKP4vu7u767LPPlJ6eriFDhigwMFBeXl7y9fVVSEiIpkyZohMnTqhPnz63Pf7KuLu7a9euXZo2bZo6duwoHx8fp6tggoODdfDgQSUlJWngwIEKDAyUzWaTp6enmjVrpsjISE2bNk05OTl67733Km0jISFBGRkZevHFF9W4cWN5eXkpKChII0eOVHZ2tvr16+eSuTk0bNhQ+/fv14cffqiQkBA1aNBAPj4+6ty5sxYuXKi0tDQ1aNCgWm0NHTrUfOz4LLha+T569+6tFi1aVKteTWLIwcPDQ9u3b9enn36qsLAweXt7y2azqU2bNoqLi5PdbtegQYNcNsfaxon0/xjs3LmzwsLCXDY2AACAO8nNMFx4OigAAAAA4J50+vRpBQcH69q1a8rIyKhyq0XcX6ZOnarZs2erTp06OnPmTIVz2Vzl22+/NZOFycnJio2NdXkf/3Z//vmnAgMDdfHiRa1fv14vv/zy3R4SAABAtbAyCQAAAAD+AwIDAzV27FhJuufPNoNrlZSUaPXq1ZKkqKioO5JIkmSen/fAAw+Y53ShokWLFunixYt65JFHSLYBAIB/FZJJAAAAAPAfMXXqVPn5+SklJUWZmZl3ezj4h6xbt05nz56VJMXFxd2RPk6ePKlNmzZJKttGz8vL647082/2119/ad68eZKkxMTEWm1dCgAA8E+re7cHAAAAAAD4Z/j7+2vNmjXKycnR+fPn7/ZwcAfl5eWpuLhY2dnZGj9+vCSpY8eOeu6551zWR2Fhoa5cuaJTp05p0qRJunHjhurVq2f2h4oKCgo0duxY+fv7u/R9AAAA+CdwZhIAAAAAAPcZNze3Cv97eHgoLS1NERERLusjMjJSaWlpFZ5LTExUQkKCy/oAAADAvYE11QAAAAAA3KcaNmyoZ599VqmpqS5NJJXn7e2tkJAQrVy5kkQSAADAfYqVSQAAAAAAAAAAALDEyiQAAAAAAAAAAABYIpkEAAAAAAAAAAAASySTAAAAAAAAAAAAYIlkEgAAAAAAAAAAACyRTAIAAAAAAAAAAIAlkkkAAAAAAAAAAACwRDIJAAAAAAAAAAAAlkgmAQAAAAAAAAAAwBLJJAAAAAAAAAAAAFgimQQAAAAAAAAAAABLJJMAAAAAAAAAAABgiWQSAAAAAAAAAAAALJFMAgAAAAAAAAAAgCWSSQAAAAAAAAAAALBEMgkAAAAAAAAAAACWSCYBAAAAAAAAAADAEskkAAAAAAAAAAAAWCKZBAAAAAAAAAAAAEskkwAAAAAAAAAAAGDpf/RkakU1rxjJAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Below is a moving average fitting curve applied to the data"
      ],
      "metadata": {
        "id": "hqjngBedvjL4"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "window_size = 200\n",
        "rolling_means = np.convolve(sorted_results, np.ones(window_size)/window_size, mode='valid')\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.plot(sorted_results, alpha=0.3, label='Sorted Results')\n",
        "plt.plot(np.arange(window_size//2, window_size//2+len(rolling_means)),\n",
        "         rolling_means,\n",
        "         color='orange',\n",
        "         label=f'{window_size}-Sample Moving Avg')\n",
        "\n",
        "plt.title(\"Monte Carlo Distribution of Years to Reach 1TB L1 + Rolling Mean\")\n",
        "plt.xlabel(\"Simulation Index (sorted by years)\")\n",
        "plt.ylabel(\"Years to Achieve (Ascending)\")\n",
        "plt.legend()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "JmqJA2IDultP",
        "outputId": "5336293c-0df7-4d1c-c380-86de9ca07371"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2000x1200 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Monte Carlo simulation of a trend towards achieving gigabyte level L1 cache memory."
      ],
      "metadata": {
        "id": "B053UBN7wrkH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import statistics\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# For LOWESS smoothing\n",
        "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
        "\n",
        "# --- Simulation Parameters ---\n",
        "NUM_SIMULATIONS = 10_000           # Number of Monte Carlo runs\n",
        "DOUBLINGS_REQUIRED = 14            # ~14 doublings to go from 64 KB to 1 GB\n",
        "MEAN_DOUBLING_TIME = 2.5           # Mean years per density doubling\n",
        "STD_DOUBLING_TIME = 0.75           # Std dev for years per doubling\n",
        "MIN_DOUBLING = 0.5                 # Minimum clamped years per doubling\n",
        "MAX_DOUBLING = 10.0                # Maximum clamped years per doubling\n",
        "\n",
        "def random_doubling_time():\n",
        "    \"\"\"\n",
        "    Returns a random doubling time drawn from a truncated normal distribution.\n",
        "    Clamps to [MIN_DOUBLING, MAX_DOUBLING].\n",
        "    \"\"\"\n",
        "    while True:\n",
        "        time = np.random.normal(MEAN_DOUBLING_TIME, STD_DOUBLING_TIME)\n",
        "        if MIN_DOUBLING < time < MAX_DOUBLING:\n",
        "            return time\n",
        "\n",
        "def simulate_one_run():\n",
        "    \"\"\"\n",
        "    Accumulates random doubling intervals until we reach DOUBLINGS_REQUIRED.\n",
        "    Returns the total years needed for that single simulation run.\n",
        "    \"\"\"\n",
        "    total_time = 0.0\n",
        "    doublings_done = 0\n",
        "    while doublings_done < DOUBLINGS_REQUIRED:\n",
        "        total_time += random_doubling_time()\n",
        "        doublings_done += 1\n",
        "    return total_time\n",
        "\n",
        "# --- Monte Carlo Simulation ---\n",
        "results = [simulate_one_run() for _ in range(NUM_SIMULATIONS)]\n",
        "\n",
        "# Compute basic statistics\n",
        "mean_years = statistics.mean(results)\n",
        "median_years = statistics.median(results)\n",
        "min_years = min(results)\n",
        "max_years = max(results)\n",
        "\n",
        "print(f\"Monte Carlo Runs: {NUM_SIMULATIONS}\")\n",
        "print(f\"Doublings Required (64 KB -> 1 GB): {DOUBLINGS_REQUIRED}\")\n",
        "print(f\"Mean Years to Achieve:   {mean_years:.2f}\")\n",
        "print(f\"Median Years to Achieve: {median_years:.2f}\")\n",
        "print(f\"Min/Max Years:           {min_years:.2f} / {max_years:.2f}\")\n",
        "\n",
        "# --- Data Visualization ---\n",
        "\n",
        "# 1) Histogram of the raw distribution\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.hist(results, bins=50, color='skyblue', edgecolor='black')\n",
        "plt.title(\"Distribution of Years to Reach 1GB L1 (Monte Carlo)\")\n",
        "plt.xlabel(\"Years to Achieve (from 2025)\")\n",
        "plt.ylabel(\"Frequency\")\n",
        "plt.axvline(mean_years, color='red', linestyle='--', label=f\"Mean = {mean_years:.2f}\")\n",
        "plt.axvline(median_years, color='green', linestyle='--', label=f\"Median = {median_years:.2f}\")\n",
        "plt.legend()\n",
        "plt.show()\n",
        "\n",
        "# 2) LOWESS \"Moving Average\" Regression-Like Curve\n",
        "# Sort results (ascending)\n",
        "sorted_results = np.sort(results)\n",
        "x = np.arange(NUM_SIMULATIONS)\n",
        "\n",
        "# Apply LOWESS smoothing; 'frac' controls the smoothing window\n",
        "smoothed = lowess(sorted_results, x, frac=0.05)\n",
        "x_smooth = smoothed[:, 0]\n",
        "y_smooth = smoothed[:, 1]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.plot(x, sorted_results, label='Sorted Results', alpha=0.3)\n",
        "plt.plot(x_smooth, y_smooth, color='red', linewidth=2.0, label='LOWESS Smoothed Curve')\n",
        "plt.title(\"Monte Carlo Results (Sorted) with LOWESS Smoothing\")\n",
        "plt.xlabel(\"Simulation Index (Sorted by Years)\")\n",
        "plt.ylabel(\"Years to Achieve (Ascending)\")\n",
        "plt.legend()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "jvGstAH7wjAQ",
        "outputId": "7449cbba-e664-433d-9ffa-39712879a172"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Monte Carlo Runs: 10000\n",
            "Doublings Required (64 KB -> 1 GB): 14\n",
            "Mean Years to Achieve:   35.10\n",
            "Median Years to Achieve: 35.11\n",
            "Min/Max Years:           24.24 / 45.70\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2000x1200 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2000x1200 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    }
  ]
}