{
  "schemaVersion": 1,
  "lessonId": "transforms-05",
  "contentHash": "c6f1554d6740750d8f73e870475f9174bf1d0e1e07f237ae7c5117313a5c3189",
  "executedAt": "2026-10-20T10:45:24.879206+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Sum: 6.0\nMean: 2.0\nTracing sum_squares; shape: (3,)\n{ lambda ; a:f32[3]. let\n    b:f32[3] = mul a a\n    c:f32[] = reduce_sum[axes=(0,) out_sharding=None] b\n  in (c,) }\nExpected dynamic Boolean conversion error\nPASS: transforms-05\n",
  "notebookCells": [
    {
      "sourceHash": "9f169a99fd56a87bed362d86214ee9837fb7ede4b9551be6f03c098d3d045997",
      "outputs": []
    },
    {
      "sourceHash": "919f9e24238f0d9fb44c18040375fcbb239b6b39814954494121d989a02e0cd7",
      "outputs": []
    },
    {
      "sourceHash": "1723130b29045bacd60da1d2bdd7e32dfc5d4307e2feb6b90defda6e2e792e2a",
      "outputs": []
    },
    {
      "sourceHash": "f4a459c1ca8f99a4cc7ce7acc4da33319d685a69e06c5ff6153c63e2cddd3d20",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Sum: 6.0\n",
            "Mean: 2.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "3141cb8f7f4b266278445ee49f1fe0350e2aa0f97dc77853239fa2cfea45914d",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "1d0ea6eb8a1d1c052eef68d018bf9a3a64cbe417f1733cec66378f1b1c530d27",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tracing sum_squares; shape: (3,)\n",
            "{ lambda ; a:f32[3]. let\n",
            "    b:f32[3] = mul a a\n",
            "    c:f32[] = reduce_sum[axes=(0,) out_sharding=None] b\n",
            "  in (c,) }\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ac0d14892235bca00f3fdc06e8dd34b9846e2d6593ecbaf4e7823ff535cfccbd",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Expected dynamic Boolean conversion error\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e47042cb147818279c10777e4c35742e966f9da3d91807c00ed40f0456c21ffe",
      "outputs": []
    },
    {
      "sourceHash": "ec187dfbb88cf9f190d6a51a1838884054f72ef1a5014b62af59e4e704865142",
      "outputs": []
    },
    {
      "sourceHash": "1b5d2113db64bacb8a1e466bec21e58f6f34271635308f258a70814cc6c61667",
      "outputs": []
    },
    {
      "sourceHash": "b19d485d4d284f7390ed184caa7055bf380d4d2c1d36a59c5b34f84848a91e78",
      "outputs": []
    },
    {
      "sourceHash": "ed0aa056de4ec2545d9791bdda05944d02ffb40b7ab8ca16fd33115e71e19d78",
      "outputs": []
    },
    {
      "sourceHash": "3e6f8af145f5a864d54ec8f3c1704b566ddcc6e2e7031781520293a3d611f25c",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
