{
  "schemaVersion": 1,
  "lessonId": "optimization-02",
  "contentHash": "616a8090bb257062b73fe11d64b5f732112bb7155aecaec1a9d904e73d8fb26d",
  "executedAt": "2026-10-20T10:45:42.659689+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Finite difference: [-2.9999971  2.4999976]\nAutodiff: [-3.   2.5]\nFinite difference: [-2.9999971  2.4999976]\nAutodiff: [-3.   2.5]\nh / max error: 0.1 1.9073486328125e-06\nh / max error: 0.01 2.86102294921875e-06\nh / max error: 0.0001 0.0004978179931640625\nh / max error: 1e-08 3.0\nPASS: optimization-02\n",
  "notebookCells": [
    {
      "sourceHash": "42c775783751377ba2aab9d68b2feea3931a9de4fc5f8973dd94df663415b734",
      "outputs": []
    },
    {
      "sourceHash": "e3fb08964867743d2a2cfbad09f7cd85ca3b31895efc0271709b5b9216f20d2c",
      "outputs": []
    },
    {
      "sourceHash": "019af86b53306657f242cabb4b9c1126a64e5bdeef8a7d33b7dbdc8d1c0d79b2",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Finite difference: [-2.9999971  2.4999976]\n",
            "Autodiff: [-3.   2.5]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "dc142fc0580d1affc0158f4ad8d4156f2676845598d38f8fc0c6388fb7611010",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Finite difference: [-2.9999971  2.4999976]\n",
            "Autodiff: [-3.   2.5]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c3de9466532d7322d5f805b9ede13654895e748af7030ede2e9e64c2324e089b",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "e8967f12d6e0a73a48bd992af735ec42c699734b412f12ed80949f851caf4216",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "h / max error: 0.1 1.9073486328125e-06\n",
            "h / max error: 0.01 2.86102294921875e-06\n",
            "h / max error: 0.0001 0.0004978179931640625\n",
            "h / max error: 1e-08 3.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "92fb18b89aa9b25fdb7f317fab087c8c5867b835fd7af45464098157fd8df641",
      "outputs": []
    },
    {
      "sourceHash": "a8a11161e62d0c2c866cb16b8db6d9993d1181c3cb0a0ff6d6ea789617681668",
      "outputs": []
    },
    {
      "sourceHash": "21bfd4b552fcbad00886e02210fd5d63086efe81bdd75cc1c6b9e430965de883",
      "outputs": []
    },
    {
      "sourceHash": "d1c70249af2deec1f09a9a552d1e5682bf28221c9cb11828ff6c38b0ba3ab43d",
      "outputs": []
    },
    {
      "sourceHash": "9673bbdd680d37974d8a8e0b1ee2ce6a690f30f2bc580e4c2aa0a2deaaf1eeaa",
      "outputs": []
    },
    {
      "sourceHash": "a95d4ec70b9cb54ed6d7a440caecef0c0cbbe65a7afd07bdaedf3a00bf2d08ed",
      "outputs": []
    },
    {
      "sourceHash": "99346334ca5d7da9759283a4a92c0df13655e65a5622b17ee0d0c747def24794",
      "outputs": []
    },
    {
      "sourceHash": "b88e518e295cd067bfa5549013a5937664dbdfa0d7b050b37f91936c5c2c970d",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
