{
  "credit": "Taylor (gtmcknight), github.com/gtmcknight/amm-sim@4812a6382311624e1506aca131ca35c378f930d9 research/solved",
  "table": 0,
  "measurement_role": "bound",
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      "step_unit": "0.25 bps lattice units",
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          "scan": {
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          "confirm": null
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          "step": 1,
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          "scan": {
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          "confirm": null
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        {
          "step": 2,
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          "scan": {
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      "id": "a_level1",
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      "step_unit": "0.25 bps lattice units",
      "steps": [
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          "scan": {
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          "confirm": {
            "gain": -0.0007886837393635687,
            "se": 0.0009115988779087609,
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        },
        {
          "step": 1,
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          "scan": {
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          "confirm": {
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        {
          "step": 2,
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            "se": 0.0017657720910997372,
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          },
          "confirm": null
        }
      ]
    },
    {
      "id": "b",
      "levels": [
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      "step_unit": "0.25 bps lattice units",
      "steps": [
        {
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          "scan": {
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          "confirm": null
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        {
          "step": 1,
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          "scan": {
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          "confirm": null
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      "id": "c",
      "levels": [
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      "step_unit": "0.25 bps lattice units",
      "steps": [
        {
          "step": -1,
          "nodes_changed": 55,
          "scan": {
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          "confirm": null
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      ]
    },
    {
      "id": "d",
      "levels": [
        0
      ],
      "step_unit": "0.25 bps lattice units",
      "steps": [
        {
          "step": -1,
          "nodes_changed": 24,
          "scan": {
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            "se": 0.0029120305614814303,
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          "confirm": null
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        {
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          "scan": {
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          "confirm": null
        }
      ]
    },
    {
      "id": "e",
      "levels": [
        0
      ],
      "step_unit": "0.25 bps lattice units",
      "steps": [
        {
          "step": -1,
          "nodes_changed": 240,
          "scan": {
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          "confirm": null
        },
        {
          "step": 1,
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          "scan": {
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          "confirm": null
        }
      ]
    },
    {
      "id": "f",
      "levels": [
        0,
        1
      ],
      "step_unit": "percent of original node value",
      "steps": [
        {
          "step": -0.5,
          "nodes_changed": 423,
          "scan": {
            "gain": -0.020080464569201012,
            "se": 0.0053901613213207635,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": -0.25,
          "nodes_changed": 392,
          "scan": {
            "gain": -0.004228701089525888,
            "se": 0.0044719456389319566,
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          },
          "confirm": null
        },
        {
          "step": 0.25,
          "nodes_changed": 392,
          "scan": {
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            "se": 0.0047055817256637334,
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          },
          "confirm": null
        },
        {
          "step": 0.5,
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          "scan": {
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            "se": 0.005851586977684287,
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          },
          "confirm": null
        }
      ]
    },
    {
      "id": "g",
      "levels": [
        0,
        1
      ],
      "step_unit": "row-grid units; new F(row)=old F(clamp(row+step))",
      "steps": [
        {
          "step": -0.1,
          "nodes_changed": 474,
          "scan": {
            "gain": -0.04373250035140669,
            "se": 0.0046416378204736704,
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          },
          "confirm": null
        },
        {
          "step": -0.05,
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          "scan": {
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            "se": 0.003910674144059293,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": 0.05,
          "nodes_changed": 455,
          "scan": {
            "gain": -0.004422914965637154,
            "se": 0.0030206266046170277,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": 0.1,
          "nodes_changed": 474,
          "scan": {
            "gain": -0.013491953728922756,
            "se": 0.004228044692104148,
            "n": 2048
          },
          "confirm": null
        }
      ]
    },
    {
      "id": "h",
      "levels": [
        0,
        1
      ],
      "step_unit": "millibps per row-grid unit from 160",
      "steps": [
        {
          "step": -10,
          "nodes_changed": 308,
          "scan": {
            "gain": 0.0035924194330493875,
            "se": 0.004083395189889613,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": -5,
          "nodes_changed": 220,
          "scan": {
            "gain": 0.003186310718741342,
            "se": 0.0037224236098422395,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": 5,
          "nodes_changed": 220,
          "scan": {
            "gain": -0.003244759328477148,
            "se": 0.0032952785313642824,
            "n": 2048
          },
          "confirm": null
        },
        {
          "step": 10,
          "nodes_changed": 308,
          "scan": {
            "gain": -0.014797423599528986,
            "se": 0.00397758273692179,
            "n": 2048
          },
          "confirm": null
        }
      ]
    }
  ],
  "confirmed": [],
  "sum_of_confirmed": null,
  "gain_vs_base": 0,
  "se": 0,
  "n": 0,
  "seeds": [
    410000,
    418191
  ],
  "best_delta_zb64": "",
  "advance": true,
  "source_sha256": "e183e5bc3fb794b7067703b10a7da9920267aa5f4caa968e16ca101b02338f40",
  "dropped": [],
  "engine_runs": 0,
  "report_set_evaluated": false,
  "limitations": [
    "When no step passes CONFIRM gain minus two SE greater than zero, top-level gain_vs_base, se and n are the required zero sentinels, not an estimated zero effect. The seeds field identifies the evaluated CONFIRM interval; measured figures remain in directions.",
    "This is a replica-only bound measurement. No fresh engine validation, Solidity promotion, gas measurement, or leaderboard submission was performed.",
    "The harness provenance reports engine parity at printed precision; the controls here check unchanged-replica equality, not a new independent engine parity test.",
    "CONFIRM is used to screen steps and evaluate their selected sum; nominal standard errors are unadjusted for selection and multiple comparisons. They are not a guaranteed bound on attainable improvement.",
    "Column halves mean contiguous columns split at the level-0 cumulative visit-weight median, including the median column in the lower half. Column 0 alone carries more than half the weight, so exact 50/50 weighting is impossible without splitting a node.",
    "Row shift uses new F(row)=old F(clamp(row+step,0,320)), with linear interpolation between stored row knots; positive step samples toward larger row coordinates.",
    "The score.py CLI was also checked at bar +0.03 after each full SCAN block: all 28 upper two-SE bounds were below that bar. The item-specific CONFIRM screen was still honored.",
    "All requested SCAN steps were evaluated on their complete 2048-seed blocks. CONFIRM was run exactly where SCAN gain minus one SE was positive; confirmed means CONFIRM gain minus two SE is positive.",
    "When a sum is evaluated, top-level gain and best_delta follow that sum as required, even if an individual confirmed step has a higher gain.",
    "The separate visit-profile seeds 64000..64127 are the only use of the otherwise excluded selection interval; neither 10000..12047 nor any other 64000..65023 seed was scored."
  ],
  "controls": {
    "implementation_sha256": "4d4894474104eac9148e52b18d679b994ce73c6a889bafa18169c8dacca22855",
    "dependency_sha256": "a992fd6855d568b6fbb163423e9dd6ea7c4709b7475d343079c667edeceb9c00",
    "source_sha256_verified": true,
    "empty_delta_exact": true,
    "empty_delta_n": 64,
    "empty_delta_seeds": [
      400000,
      400063
    ],
    "empty_delta_csv_sha256": "47dd61241aaaf4b0048dc69f2a56177160e6613af00dd65d3218bbcf6419ad7b",
    "qpl_roundtrip_byte_identical": true,
    "all_28_steps_encodable": true,
    "best_delta_encodable": null,
    "original_baselines": true,
    "max_parallel_candidates": 5,
    "score_py_cli_checks": {
      "n_steps": 28,
      "bar": 0.03,
      "upper_2se_below_bar": 28,
      "max_upper_2se": 0.011759209812828613
    }
  },
  "visit_profile": {
    "seeds": [
      64000,
      64127
    ],
    "n": 128,
    "measure": "absolute net interpolation coefficient, not objective sensitivity",
    "by_stored_level": [
      589778.5195637115,
      1309.6279942824285
    ],
    "by_row_band": {
      "below_160": 488512.0,
      "at_or_above_160": 102576.1475579939
    },
    "level0_column_weights": [
      398980.7594182865,
      56073.85383721646,
      22659.89740619284,
      5458.192185114443,
      1622.7038895198566,
      1021.8357874109586,
      647.9184617944832,
      430.1032140104068,
      437.9682742291228,
      3505.3286769923798,
      98939.95841294405
    ],
    "lower_columns": [
      0
    ],
    "upper_columns": [
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10
    ]
  },
  "scan_seeds": [
    400000,
    402047
  ],
  "confirm_seeds": [
    410000,
    418191
  ],
  "best_delta_id": null
}