{
  "schemaVersion": 1,
  "lessonId": "science-03",
  "contentHash": "6b175d90141c2052127d85736ccf34c11f3f035c2884507fed92e387b08e7e68",
  "executedAt": "2026-10-20T10:48:03.834483+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Autodiff: -0.9863878096749447 discrete oracle: -0.9863878096749429 continuous oracle: -0.9863878557664257\nLoss: 0.04837454286198381 gradient: 0.2686922266772409 finite difference: 0.26869222316237146\nAutodiff: -0.9863878096749447 discrete oracle: -0.9863878096749429 continuous oracle: -0.9863878557664257\nLoss: 0.04837454286198381 gradient: 0.2686922266772409 finite difference: 0.26869222316237146\nSensitivity errors: [np.float64(0.0002448795513753099), np.float64(1.3192617195456613e-05), np.float64(7.654351459329689e-07), np.float64(4.6091481076260266e-08)]\nFinite-difference absolute errors: [3.515348206362123e-05, 3.5151551858181307e-07, 3.514869451048952e-09, 3.5118241648035564e-11, 1.1179057679555626e-11]\nRate and initial-state sensitivities: -2.695973769291141 0.44932896460456245\nWeighted derivative reference: 0.30367311533053687\nDetached autodiff is zero; actual value sensitivity: 0.26869222316237146\nPASS: science-03\n",
  "notebookCells": [
    {
      "sourceHash": "c75fd70bba537eafa6b6bbedbdbfcb8846ccdbe9383784950ea7176829859197",
      "outputs": []
    },
    {
      "sourceHash": "a3cb0625fd8641f152a5d5dd77fa6ed60eae6b533ae5c0a45cadbac776fcc887",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Autodiff: -0.9863878096749447 discrete oracle: -0.9863878096749429 continuous oracle: -0.9863878557664257\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "b17d6873e84cc00dab97157d8758fcc3265b3498916a19abebc6bdee38ed5c7a",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Loss: 0.04837454286198381 gradient: 0.2686922266772409 finite difference: 0.26869222316237146\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e85e6134c8dd893270958d3b8520186cc2e876b9746d3fc442dbcf82042fbea3",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Autodiff: -0.9863878096749447 discrete oracle: -0.9863878096749429 continuous oracle: -0.9863878557664257\n",
            "Loss: 0.04837454286198381 gradient: 0.2686922266772409 finite difference: 0.26869222316237146\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "90c707833cf24edf7a706df2903aceb2c9402c39344bce6e73753722898ab0a0",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "f511881de293340965b0860d7a14051fbbb14fc1f98fe5772e5c4624fc776997",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Sensitivity errors: [np.float64(0.0002448795513753099), np.float64(1.3192617195456613e-05), np.float64(7.654351459329689e-07), np.float64(4.6091481076260266e-08)]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "aeba250f5b9287ac59d05eaf3739521803228ec51fc1096bf14ecc362e37392c",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Finite-difference absolute errors: [3.515348206362123e-05, 3.5151551858181307e-07, 3.514869451048952e-09, 3.5118241648035564e-11, 1.1179057679555626e-11]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8d0fb8d635c941bd205ae50f057f8bf0bbb219dffad1256b0bdbcf58ad11e44c",
      "outputs": []
    },
    {
      "sourceHash": "8c5f0e4a4a0634f1dd532fb8117b67f5a0ee09981dbaa9ca4d3335496649c579",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Rate and initial-state sensitivities: -2.695973769291141 0.44932896460456245\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "88c3ce506576b084e7e2843758f88f562d6d7f0bfa00879c4316d9c9db4d2844",
      "outputs": []
    },
    {
      "sourceHash": "9e4e8c04c813fe97c2559fff51819f907333ae1f99ec826bf425b302c454df8b",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Weighted derivative reference: 0.30367311533053687\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "9474f6f7e7410be9937ffcb23da67a8fd5a6f440d4a4396aae77b77029d9b60d",
      "outputs": []
    },
    {
      "sourceHash": "332ee12c5f10586dcd87a84d581ee3bb37c978bc0097b4a00f65501a3eb30ee6",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Detached autodiff is zero; actual value sensitivity: 0.26869222316237146\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
