{
  "schemaVersion": 1,
  "lessonId": "first-gradient",
  "contentHash": "c382307c1e6ed518fc942a959c2d6583641585dc4e4e727b7f7c5c754b8a500c",
  "executedAt": "2026-10-20T10:45:17.292166+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 estimate: 5.999999999999339\n6.0\nchain rule: -1.0 -12.0\nchain rule: 0.0 6.0\nchain rule: 2.0 42.0\nh / estimate / error: 0.1 27.009973526000977 0.009973526000976562\nh / estimate / error: 0.01 27.000045776367188 4.57763671875e-05\nh / estimate / error: 0.001 26.9975643157959 0.0024356842041015625\nh / estimate / error: 1e-05 27.0843505859375 0.0843505859375\nh / estimate / error: 1e-07 0.0 27.0\nPASS: first-gradient\n",
  "notebookCells": [
    {
      "sourceHash": "9f169a99fd56a87bed362d86214ee9837fb7ede4b9551be6f03c098d3d045997",
      "outputs": []
    },
    {
      "sourceHash": "8489bf8754ce0e3baf3b24d2fcea0dbc405efae81914722c0723314c341ccced",
      "outputs": []
    },
    {
      "sourceHash": "f845865f48aa867b066f6a898e8b268e552a7c0d4662d8d35c7dbdf5864771cf",
      "outputs": []
    },
    {
      "sourceHash": "f4e95e4745e9884c3a11c48e287bac701ddc3406d040dc40c0a0769e9133989f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Finite-difference estimate: 5.999999999999339\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "59772aac699eb97e2787a460c88189f8874975a05b9c280f7f801a5f1cf6865b",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "6.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "644ce5a08a39c60508bced61382e44bd98d2c8ffa62b2ba90c4ee0e91534151f",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "e29d0a08a953b7d69f6d95394c8bce24ef02dd64f0d8e9059b160ef6cd31adf4",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "chain rule: -1.0 -12.0\n",
            "chain rule: 0.0 6.0\n",
            "chain rule: 2.0 42.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "2e281eb095ea6f456abf2787ffaccc2d9790d9bfd711a5ceaea1c02f639ca8e8",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "h / estimate / error: 0.1 27.009973526000977 0.009973526000976562\n",
            "h / estimate / error: 0.01 27.000045776367188 4.57763671875e-05\n",
            "h / estimate / error: 0.001 26.9975643157959 0.0024356842041015625\n",
            "h / estimate / error: 1e-05 27.0843505859375 0.0843505859375\n",
            "h / estimate / error: 1e-07 0.0 27.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0ab98c0666431ac20eec345d649daeee0cfbb5c315322e216a13672ebce14e34",
      "outputs": []
    },
    {
      "sourceHash": "e33f2ab392a8c6d9b7c17e29272d544b7420c71b2b2b53b4864bae4c651ea2d2",
      "outputs": []
    },
    {
      "sourceHash": "fcb4f32281fe26c4a6c43e5574693fbc288fcb8a4c678ee0a08fd4e0cfeda1b0",
      "outputs": []
    },
    {
      "sourceHash": "3aa5f1a50fb55db410e4e2a7aadd40e261552386b66ecbd8c8300b165194750f",
      "outputs": []
    },
    {
      "sourceHash": "206c16fc7491159a948405f8adaa26b4ac8f7c38ea2737b970772e6aa033a888",
      "outputs": []
    },
    {
      "sourceHash": "8076dfdb16a8ed49a097e8db59de0e350c769e0253a5ca705be29d527b516157",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
