{
  "schemaVersion": 1,
  "lessonId": "internals-03",
  "contentHash": "16c3fd20cd983fed1236cd2f8b1589b5edf49f3be77e784652c254b20578c51a",
  "executedAt": "2026-10-20T10:50:14.579922+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Softplus first/second: [0.01798621 0.5        0.95257413] [0.01766271 0.25       0.04517666]\nLogsumexp gradient: [0.09085944 0.30166396 0.60747661]\nStable extreme values: [0.00000000e+00 6.93147181e-01 1.00000000e+03] naive positive extreme: inf\nSoftplus first/second: [0.01798621 0.5        0.95257413] [0.01766271 0.25       0.04517666]\nLogsumexp gradient: [0.09085944 0.30166396 0.60747661]\nStable extreme values: [0.00000000e+00 6.93147181e-01 1.00000000e+03] naive positive extreme: inf\nWrong/correct/finite-difference derivative: 0.29934383005622606 0.5986876601124521 0.5986876601138391\nExpected custom_vjp forward-mode boundary: can't apply forward-mode autodiff (jvp) to a custom_vjp function.\nOrdinary JAX common-shift JVP: 1.0\nChanged-size gradient and cotangent scaling verified\nStable shift invariance and zero common-direction curvature verified\nNonlinear seed rule rejected by its contract; repaired JVP is linear\nPASS: internals-03\n",
  "notebookCells": [
    {
      "sourceHash": "70e6189a6b0085dacd2c5988185333f12ed3e58b9cd3f0ec33a9d86462ee19a3",
      "outputs": []
    },
    {
      "sourceHash": "13c201151ed97e2c1d43c49e3776fdcc63ae1ed2a4ceb91122103c1b7e0f709b",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Softplus first/second: [0.01798621 0.5        0.95257413] [0.01766271 0.25       0.04517666]\n",
            "Logsumexp gradient: [0.09085944 0.30166396 0.60747661]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c327f4c0cc6339b47549c7650fd948defb1897684efd972fa18529049cb03ce5",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Stable extreme values: [0.00000000e+00 6.93147181e-01 1.00000000e+03] naive positive extreme: inf\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "8ce4e0cadfbd02c8cba11728160ae2edc2aee5fa3616e873c20980e07622ec42",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Softplus first/second: [0.01798621 0.5        0.95257413] [0.01766271 0.25       0.04517666]\n",
            "Logsumexp gradient: [0.09085944 0.30166396 0.60747661]\n",
            "Stable extreme values: [0.00000000e+00 6.93147181e-01 1.00000000e+03] naive positive extreme: inf\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "81dfb4be46e8ac0d9436ab281464c8f1d432fbbf65fc7de315f9e1102d4fd7bb",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "458674eba920a1b0a7380343cd5b3dc7a1bddee1495e97e44c72808b474c7242",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Wrong/correct/finite-difference derivative: 0.29934383005622606 0.5986876601124521 0.5986876601138391\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "fd002013272cdddceaf0b38816fdecc9cf6d2897c517776c7f1c41539def4f84",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Expected custom_vjp forward-mode boundary: can't apply forward-mode autodiff (jvp) to a custom_vjp function.\n",
            "Ordinary JAX common-shift JVP: 1.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0b463cd9066c890916fc62e4e6db4504ab556d74c6f934be2859f20af890630b",
      "outputs": []
    },
    {
      "sourceHash": "1623edcce5cfc20d09c11944f934fe0ba2a1ec583d8cde9e6c5b6ce2acda2dd2",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Changed-size gradient and cotangent scaling verified\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e6b146e19d33a65c6979eac1aa0508e61a368cb02a8dcc14615ff4a4b3919606",
      "outputs": []
    },
    {
      "sourceHash": "02dd1137dfc614c4dbe1b986bf5786d70c00754c4e6fafd429d51917a5762714",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Stable shift invariance and zero common-direction curvature verified\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c33456c4e7a445ba88692546f2bf0bc24593d6ff054865f47a9d5a12126017ea",
      "outputs": []
    },
    {
      "sourceHash": "98be0302873df0795b5f97dd9fcc258a1584ee200957ddbadf3b3a2f6eec6016",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Nonlinear seed rule rejected by its contract; repaired JVP is linear\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
