{
  "schemaVersion": 1,
  "lessonId": "optimization-03",
  "contentHash": "23c8351c018c9c1948e3c6eb785f9548d587e9f92d0143f8942926c0e73dfd37",
  "executedAt": "2026-10-20T10:45:48.289484+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Final weight: 1.9999969005584717\nFinal loss: 9.606537787476555e-12\nFinal weight: 1.9999969005584717\nFinal loss: 9.606537787476555e-12\nFirst two post-update losses: [2.5600002 1.6384   ]\nPASS: optimization-03\n",
  "notebookCells": [
    {
      "sourceHash": "42c775783751377ba2aab9d68b2feea3931a9de4fc5f8973dd94df663415b734",
      "outputs": []
    },
    {
      "sourceHash": "88e9922b2fee7e450f3b6b2fd523199650123ab9892143ae8ff08e7e69b77ccd",
      "outputs": []
    },
    {
      "sourceHash": "8dbdd8d0910c46f3bfeeb5d233c9b6244dd637a9ae0c59a787c6d2668cd51415",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Final weight: 1.9999969005584717\n",
            "Final loss: 9.606537787476555e-12\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8449c135d2833a56d5525df1b8bbe8546bbbd3b658a830d27f62d78d5cf5b90e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Final weight: 1.9999969005584717\n",
            "Final loss: 9.606537787476555e-12\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "4d8e13160df9e676893a54bf23c3cf8be317b719a349cd030fa81c2226cce85e",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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y0jMq7DgBAKC0vHIdVSYDAABwoWHnXGmCjalP3CcXX3Yh+9qDHDpwWIafd5WZnrPos0IFdgEAQNlRAwYAAAAAAMDFCGAAAAAAAABcjAAGAAAAAADAxQhgAAAAAAAAXIwivAAAAAAAAC5GCxgAAAAAAAAXI4ABAAAAAABwMQIYAAAAAAAAFyOAAQAAAAAAcDECGAAAAAAAAHGt/wP/OenOl7RMxgAAAABJRU5ErkJggg==",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "e8046e3cb0f10484317d9502f3e34211bad3a0d5bcfcf08303ca29079f9fe72f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "First two post-update losses: [2.5600002 1.6384   ]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "98cece440aae496ece754b4fe15b0904e577dd9a432cd945ff47bca4cba696fb",
      "outputs": []
    },
    {
      "sourceHash": "d82a9be57505c490be0863f67de05bbd4143065ecde1082878315470e414eb90",
      "outputs": []
    },
    {
      "sourceHash": "3d54096dbb07f7addccafae046b797f6f34d3c6dc86b336ecabeedd5133cb912",
      "outputs": []
    },
    {
      "sourceHash": "87f75cb0124189f60b0e29a72b28df0b6b5306d5102983fd2e27cdb853f2c24e",
      "outputs": []
    },
    {
      "sourceHash": "a7cb6f507f78e3ba63901b3db362e73ef222a1188dbe143b9f381abae239fca9",
      "outputs": []
    },
    {
      "sourceHash": "8c48f2d64d080211361afc4f9d9c5d02e3f3f2c9c4e4838ee29a07b9ca95effa",
      "outputs": []
    },
    {
      "sourceHash": "0e5bd200f6ed117190667cbbfe0f77c658f55d334aa88db28a570621b7b35aa5",
      "outputs": []
    },
    {
      "sourceHash": "ff14041ebb3f0ddc3ae1d79a2a203ee59fc3dc3a162049f8f104146e146f06de",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
