{
  "schemaVersion": 1,
  "lessonId": "internals-04",
  "contentHash": "2143e38783dec4194ec9bb3705c2aee898aaefa4b683badd7305f6fac2a8e76b",
  "executedAt": "2026-10-20T10:50:16.810777+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Supported primitives: ['sin', 'mul', 'add', 'reduce_sum']\nInterpreted primal and tangent: 2.3099803057106576 0.4391291800455618\nLowered IR characters: 1421\nCompiled transformed outputs match; changed shape explicitly rejected\nSupported primitives: ['sin', 'mul', 'add', 'reduce_sum']\nInterpreted primal and tangent: 2.3099803057106576 0.4391291800455618\nLowered IR characters: 1421\nCompiled transformed outputs match; changed shape explicitly rejected\nExpected unsupported primitive: unsupported primitive: exp\nChanged-value compiled tangent: 0.5640324983393596\nChanged polynomial transformed and compiled\nExplicit offset tangent contribution: -0.09999999999999998\nMultiple output contract and malformed tangent rejection verified\nPASS: internals-04\n",
  "notebookCells": [
    {
      "sourceHash": "3370eb6fa6d5b3d4588ca31526baaa40a0994d351db5f4169bcaacefb3672d6e",
      "outputs": []
    },
    {
      "sourceHash": "3797ec97cc79ec5f76f596164871a2e218d9e1ef07e1b43ce095b0336d257838",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Supported primitives: ['sin', 'mul', 'add', 'reduce_sum']\n",
            "Interpreted primal and tangent: 2.3099803057106576 0.4391291800455618\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "a86cf1851949b4fb31c4d0cb156f409d5648a8226328a21a3c1cde0a1b44263a",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Lowered IR characters: 1421\n",
            "Compiled transformed outputs match; changed shape explicitly rejected\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "3a61177117d82130772114c2eb2deead84907d0d965670bcf557760de89f7182",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Supported primitives: ['sin', 'mul', 'add', 'reduce_sum']\n",
            "Interpreted primal and tangent: 2.3099803057106576 0.4391291800455618\n",
            "Lowered IR characters: 1421\n",
            "Compiled transformed outputs match; changed shape explicitly rejected\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "49cd8f7b60aa10e794cf7262777967d7836d3ad9b436e8257fdc692cdbfb65c8",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "922921e7970c9c437a2233dd5795e7f3937acd9ce013f5bfc1cb10cd7a5aca43",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Expected unsupported primitive: unsupported primitive: exp\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "2fffd24fc3b7f3303da9293cbe153d0c8153860b56d214628e521bc46e926841",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed-value compiled tangent: 0.5640324983393596\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "1dd3a7955a7b6b062650ad6195c6445e2ba2b8aaed8e8e69e14e4a3daf40c513",
      "outputs": []
    },
    {
      "sourceHash": "c15ac3c2654dc9a3fd64d1e91dcdb0282cbcbbcbfff1c415443b803346724e7f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed polynomial transformed and compiled\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "90ede32961f81aaf650f77311881de4af25e76697eba395a689fb23eb4a483eb",
      "outputs": []
    },
    {
      "sourceHash": "1069af88e875932775b0825119be6dafa6d9d9ceca167ca079fca4df36cb9f09",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Explicit offset tangent contribution: -0.09999999999999998\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ee97b8ed78030b68cc5349729e5fd6c36468caf59b793d50e74a643fcdd4d853",
      "outputs": []
    },
    {
      "sourceHash": "33a4a662bd0b9b286ce5ef117bc884657517e7784efa713d4922fe3ee7529e34",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Multiple output contract and malformed tangent rejection verified\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
