{
  "schemaVersion": 1,
  "lessonId": "kernels-03",
  "contentHash": "ffafe87d6ffe3d1dddcd0ab058e87d4adff0aae938e053a9460b4bb5cbe3f3b6",
  "executedAt": "2026-10-20T10:49:49.884306+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Actual backend: cpu simulated layout: TPU v5 lite\nSynchronous/buffered endpoints: -1.75 2.25\nprograms, padded elements, modeled data-buffer bytes: [(9, 9216, 24576), (6, 12288, 49152), (4, 16384, 98304)]\nActual backend: cpu simulated layout: TPU v5 lite\nSynchronous/buffered endpoints: -1.75 2.25\nprograms, padded elements, modeled data-buffer bytes: [(9, 9216, 24576), (6, 12288, 49152), (4, 16384, 98304)]\nThree-buffer schedule matches the two-buffer result\nSingle-tile pipeline checked\nChanged shape, dtype and schedules verified\nUnsupported pipeline tile rejected\nTile, two/three-input-slot modeled bytes: (8, 128) 24576 32768\nTile, two/three-input-slot modeled bytes: (16, 128) 49152 65536\nTile, two/three-input-slot modeled bytes: (16, 256) 98304 131072\nPASS: kernels-03\n",
  "notebookCells": [
    {
      "sourceHash": "258634076b7219c38952d73ef0d77fb04d9f527edd48928d65d420018ad3fb6d",
      "outputs": []
    },
    {
      "sourceHash": "47e177697d4ec6e7261caff191832c228d9357c25067a03740e8170270bb4458",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Actual backend: cpu simulated layout: TPU v5 lite\n",
            "Synchronous/buffered endpoints: -1.75 2.25\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e8abff9e5c1dae606210cc25bbb8e544b1a9a3c17898e56c7c2d14959da72a52",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "programs, padded elements, modeled data-buffer bytes: [(9, 9216, 24576), (6, 12288, 49152), (4, 16384, 98304)]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "17756ae1f7d651fff6470204554a27190add755e4e65b3a5d775a239c476aa83",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Actual backend: cpu simulated layout: TPU v5 lite\n",
            "Synchronous/buffered endpoints: -1.75 2.25\n",
            "programs, padded elements, modeled data-buffer bytes: [(9, 9216, 24576), (6, 12288, 49152), (4, 16384, 98304)]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "47e19d40395783992b07407a98dbe9ea56143cd9aff9484a2c1548d2726313b0",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "e10e7fa7e67cd32cb913343f3cbae0f3f51420fb0a8f2e80483d6c73e7f07dd9",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Three-buffer schedule matches the two-buffer result\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "1b36a026e72aa576f815588814ac46b3e980c3611d8b5e7a97a1df259011edf2",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Single-tile pipeline checked\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "44b9155c0a2e8ef3d4b394472d4210ffabc8ed1d8ad26e180cf41bed6e38842f",
      "outputs": []
    },
    {
      "sourceHash": "91c49b024c4fb35f4accbc28837cb44caaed81ef14fe879fa75326d6aaaf66da",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed shape, dtype and schedules verified\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "87d4d0b2185c13a345b616e0209aa8160200a6e2e1f1f51fd2b3cc46741aa736",
      "outputs": []
    },
    {
      "sourceHash": "b85b32c7b4dcbb3f9ae6a1b77df56aaec785d7ce06dd57a800544ef25799beb4",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Unsupported pipeline tile rejected\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "40fce683ffb597e5140939c6ff91ccf3147222c9e5d27afa3686ead0e3ac8245",
      "outputs": []
    },
    {
      "sourceHash": "58a4c43f15ef0f548d83237cc7a7bbabd7b4a2c3c16ad79033b7375e5a7f6f9e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tile, two/three-input-slot modeled bytes: (8, 128) 24576 32768\n",
            "Tile, two/three-input-slot modeled bytes: (16, 128) 49152 65536\n",
            "Tile, two/three-input-slot modeled bytes: (16, 256) 98304 131072\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}