{
  "schemaVersion": 1,
  "lessonId": "science-04",
  "contentHash": "bb80ff68a6e9f9b6cf42f0a888fc8bd47dd6ac73b99118ee76dcfd9e4baad8e2",
  "executedAt": "2026-10-20T10:48:32.222051+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Initial/fitted rate: 1.4 0.7000000090128304\nInitial/final loss: 0.11676630453561089 1.9484774169068916e-32\nHeld-out RMSE: 4.572895313141112e-16 finer-grid RMSE: 7.282689372293896e-09\nInitial-time-only gradient: 0.0\nInitial/fitted rate: 1.4 0.7000000090128304\nInitial/final loss: 0.11676630453561089 1.9484774169068916e-32\nHeld-out RMSE: 4.572895313141112e-16 finer-grid RMSE: 7.282689372293896e-09\nInitial-time-only gradient: 0.0\nTrue rate: 0.7 perfect coarse Euler rate: 0.5906238205625731\nbatch, median milliseconds, milliseconds per trajectory: [(1, 0.007125083357095718, 0.007125083357095718), (16, 0.007792375981807709, 0.0004870234988629818), (256, 0.030416063964366913, 0.00011881274986080825)]\nChanged true/recovered rate: 0.4 0.40000000054230433\nRecovered initial amplitude: 2.8000000000000003\nNoisy grid-search estimate: 0.7 residual MSE: 2.6000611439697964e-05\nPASS: science-04\n",
  "notebookCells": [
    {
      "sourceHash": "552521f6459da38e2acd85e37575a3f470de953a3b4115c69a99468323697dca",
      "outputs": []
    },
    {
      "sourceHash": "6513f653a9d25684d25db67bed252fbd2bc7ec5e86c0bb1861ae1e698a54e939",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial/fitted rate: 1.4 0.7000000090128304\n",
            "Initial/final loss: 0.11676630453561089 1.9484774169068916e-32\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "31d3d61b92834b01b1c5c33749b50926065a34225338592784d7f94423111ba5",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Held-out RMSE: 4.572895313141112e-16 finer-grid RMSE: 7.282689372293896e-09\n",
            "Initial-time-only gradient: 0.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "6217be3d896a1d98353d156c269ddce79b881161af32d2c404efb4c4b93f5d72",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial/fitted rate: 1.4 0.7000000090128304\n",
            "Initial/final loss: 0.11676630453561089 1.9484774169068916e-32\n",
            "Held-out RMSE: 4.572895313141112e-16 finer-grid RMSE: 7.282689372293896e-09\n",
            "Initial-time-only gradient: 0.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "9121168bf8ffa9acb528c5402bb9cb61fd0ed45661f5cda854cc32e5c66280e6",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "fac4aa769d22fdaf5ea0c5e27bd35ab0076ef40d4d1a4167095e3a27749abb5c",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "True rate: 0.7 perfect coarse Euler rate: 0.5906238205625731\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "fc548a5a7678b9b2ec95c3246c9bc5be184a0b1f77f630514c227958fb497bdf",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "batch, median milliseconds, milliseconds per trajectory: [(1, 0.008541159331798553, 0.008541159331798553), (16, 0.008792150765657425, 0.0005495094228535891), (256, 0.04145922139286995, 0.00016195008356589824)]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "97fede0d0c3535684cdbcc1cc742c1fb6ff7547ebc34516a18d07a07e0f8e674",
      "outputs": []
    },
    {
      "sourceHash": "dbf331005f3b093fc18bab6afec602f7f0642ded92b8ec5dc4d9233ea8f0fd8e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed true/recovered rate: 0.4 0.40000000054230433\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "559f87fd69f753611df7b991fbef2ba08263b2bd180407d4913ada8cc1b4a614",
      "outputs": []
    },
    {
      "sourceHash": "a11e6673996dbdc3845931b2aced33491100a96bdeea4340e80189e198f12e59",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Recovered initial amplitude: 2.8000000000000003\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "33fa3739bb57d8366585001fe1fb781c5315cb949abf712c292fd25ff4a0765d",
      "outputs": []
    },
    {
      "sourceHash": "b629acd32be5b179e96e2fe42322e11f3502e1fb4fd5b63429507778aff45928",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Noisy grid-search estimate: 0.7 residual MSE: 2.6000611439697964e-05\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
