{
  "provenance": {
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    "implementation_sha256": "faa8f226d5f118975413c411a70e6a4758e0042cb04b00c0b3cc3027e0827246",
    "command": "/opt/homebrew/opt/python@3.14/bin/python3.14 benchmark.py --grids 16,32,64,128,256,512,1024,2048,4096,8192,16384 --mu .2 --nu .05 --objective one_x --fd-scan --fd-intervals 256 --output results/refinement_one_x.json",
    "generated_utc": "2026-10-02T09:06:34Z",
    "python": "3.14.3",
    "numpy": "2.4.6",
    "scipy": "1.18.1",
    "platform": "macOS-26.6.2-arm64-arm-64bit-Mach-O",
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    "max_intervals": 65536,
    "memory_measured": false,
    "formulation": "paper_dn nodal central conservative PDE residual plus backward 2nd-order Neumann constraint; composite-trapezoid objective"
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    "nu": 0.05,
    "objective": "one_x",
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    "correction_atol": 2e-12,
    "correction_rtol": 2e-12,
    "max_iterations": 35,
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    "mathematical_proof": false,
    "convention": "physical lambda: -u*lambda_prime-nu*lambda_double_prime=q; Lagrange multiplier=-lambda"
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