{
  "schemaVersion": 1,
  "lessonId": "transforms-04",
  "contentHash": "2bde24a4e956087fd03b0c6123d05749b5932e233dfd3164bb8d2674884aa209",
  "executedAt": "2026-10-20T10:45:23.194590+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Loss: 0.46000000834465027\nFirst/repeat seconds: 0.013900000136345625 1.920759677886963e-05\neager median / min / max seconds: 2.6375288143754005e-05 2.3334287106990814e-05 7.895799353718758e-05\ncompiled median / min / max seconds: 4.312489181756973e-06 3.874767571687698e-06 5.416106432676315e-06\nbackend / shapes / dtype: cpu (4, 3) (3,) (4,) float32\ncompiled value-and-grad median seconds: 6.770249456167221e-06\nPASS: transforms-04\n",
  "notebookCells": [
    {
      "sourceHash": "2e5c35b62cbdc60f40a90674e91b2dd9d38d5dbd833b175721a1070426836eaa",
      "outputs": []
    },
    {
      "sourceHash": "b788e8fe92bdbcb8a56af07053b761ac37ee875a927f0b83ac4f392f3b2da918",
      "outputs": []
    },
    {
      "sourceHash": "bdf3943bc2cd0fe745537609f625b965e5e07dd37e7972c28ffd2b1e0d769765",
      "outputs": []
    },
    {
      "sourceHash": "3f8fdee1add7294f89c8332bc24fe09694f97c4e00246ca1e44b1c61c84399c8",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Loss: 0.46000000834465027\n",
            "First/repeat seconds: 0.013769499957561493 1.9249971956014633e-05\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0b389274c92d886af03f86fe3b2d2428bfda544c504b4eb4754acb71001d2a81",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "2a0773bce72daa407f6f79d4123aebbdfc5b6f40d18a63e6a4e53513022aeda7",
      "outputs": []
    },
    {
      "sourceHash": "2aa9333814ecf4c63fe728f8d6e15cf90581f599606739f1006137d18f5f0290",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "eager median / min / max seconds: 2.2624386474490166e-05 2.1582935005426407e-05 3.470759838819504e-05\n",
            "compiled median / min / max seconds: 3.7499703466892242e-06 3.582797944545746e-06 4.875008016824722e-06\n",
            "backend / shapes / dtype: cpu (4, 3) (3,) (4,) float32\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0f58fd5f884533abe8cb256b165955561b0ce11658c769dee00f343d5a012d07",
      "outputs": []
    },
    {
      "sourceHash": "f31932adcd3dac4754ea2f5eef6230dd7fa95dac9be32fa6c0fe51ddc72a88f0",
      "outputs": []
    },
    {
      "sourceHash": "c5514b388e5c3e3b5c3404378d06ce42943cb02f617b57bc08102f20b34253d7",
      "outputs": []
    },
    {
      "sourceHash": "20da53fa4a1ee66d8c044cc2a21d8dbc9a6b84162c4f6c266f921e3d1853e1e0",
      "outputs": []
    },
    {
      "sourceHash": "f13e0af89c2640b98012419559f80102b071795f2f93d8f9e9e0b8a475a1317f",
      "outputs": []
    },
    {
      "sourceHash": "c61e7aaa8cc5f59004a30c33407e5dd23b87c9090b2790a34034b33cfc4326c0",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "compiled value-and-grad median seconds: 6.4999330788850784e-06\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
