# Merge 2: spread-1 retreat-crossing port

Candidate **d-s1-retreat-crossing-port** ports retreat-crossing’s posterior reweight to spread 1; comparator **N**. Names and mechanism are reported in inputs B and C; all three inputs report the same code hashes. [A][A] [B][B] [C][C]

- Candidate SHA-256: `bed6def9407c0304d052bec656525e73fa9afd6c0422d6589c3c0f22d268bf9a`.
- Comparator SHA-256: `bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae`.

Pooled candidate-minus-comparator edge is **−0.011839653 (SE 0.235768162)** over **1,500** paired seeds. These are **screening seeds, not finalist seeds**: 430500–431999, all below 900000. There is no demonstrated positive pooled gain and no promotion is established by this merge. This conclusion is derived from A–C using the pooling formula below; no simulations were run. [A][A] [B][B] [C][C]

Each row below copies its named source’s overall statistics (display rounded to nine decimal places). `complete` and failures are the sources’ reports, corroborated by 500 distinct consecutive per-seed records in each block.

| key / source | seeds (inclusive) | n | complete | failures count | mean_diff | se | retail_diff | arb_diff | python_version | flag |
|---|---|---:|---|---:|---:|---:|---:|---:|---|---|
| [s1-port-a][A] | 430500–430999 | 500 | true | 0 | 0.050921907 | 0.065719161 | -0.048940081 | 0.099861989 | 3.10.12 | CHECK_REFERENCE_UNAVAILABLE |
| [s1-port-b][B] | 431000–431499 | 500 | true | 0 | -0.405384091 | 0.641757204 | -0.064215672 | -0.341168419 | 3.12.3 | CHECK_REFERENCE_UNAVAILABLE |
| [s1-port-c][C] | 431500–431999 | 500 | true | 0 | 0.318943225 | 0.290239822 | -0.230292460 | 0.549235685 | 3.12.3 | CHECK_REFERENCE_UNAVAILABLE |

All source-file hashes match the task’s supplied hashes. There are no missing or overlapping seeds, reported failures, incomplete blocks, or conflicting candidate/comparator hashes. The code itself is absent from these inputs: code-hash verification before measurement is reported by the items, not independently repeated here. [A][A] [B][B] [C][C]

Flag meaning: the supplied files contain no independent expected check-value vector, so absolute check correctness cannot be independently established. No cross-block check-value discrepancy was detected at six decimal places. A and C report `[17.1160017503, 20.0171113118, 2.3903113616, 241.4847522404]`; B reports `[17.116002, 20.017111, 2.390311, 241.484752]`. B identifies the checks as comparator N on seeds 310000–310003. Each source states its checks matched. Python versions differ as shown; matching checks alone do not prove full runtime equivalence. [A][A] [B][B] [C][C]

Recomputed block means and standard errors agree with reported `n`, `sum_d`, and `sum_d2`; spread counts and moments sum to overall values. The per-seed rows agree with the reported moments within rounding bounds of 0.0000005 per difference. Retail plus arbitrage differences agree with mean differences within 1e-9. These are arithmetic consistency checks on A–C, not independent simulation validation.

For each pooled group, n = Σ nᵢ, S = Σ sum_dᵢ, Q = Σ sum_d2ᵢ; mean = S/n; se = sqrt((Q − S*S/n)/(n−1)/n). Retail and arbitrage differences are weighted by that group’s block n. Only reported block moments determine pooled means and standard errors; rounded per-seed values are not used to pool. All three blocks are included, with the check-reference limitation retained.

| group | n | sum_d | sum_d2 | mean_diff | se | retail_diff | arb_diff |
|---|---:|---:|---:|---:|---:|---:|---:|
| overall | 1500 | -17.759479407 | 124986.739800950 | -0.011839653 | 0.235768162 | -0.114482738 | 0.102643085 |
| spread 1 | 360 | -17.759479407 | 124986.739800950 | -0.049331887 | 0.983404006 | -0.477011407 | 0.427679519 |
| spread 2 | 382 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 |
| spread 3 | 384 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 |
| spread 4 | 374 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 | 0.000000000 |

The pooled table is derived from A–C. All reported differences occur at spread 1; spreads 2–4 have zero difference in every supplied row. The JSON preserves each block’s full reported metadata, `overall`, and `by_spread`; `per_seed` concatenates all 1,500 reported rows sorted by seed, with columns `[seed, spread, candidate_minus_comparator_edge]`. [A][A] [B][B] [C][C]

Sources (input snapshots; their relevant contents are embedded below):

- A: `.imd/reads/artifacts/item-s1-port-a`; original artifact `artifacts/goal/batches/r4-extend/items/s1-port-a/result.json`; SHA-256 `76c4b742a20a4ef444f97a5119acc18fe581e630179d5ceb0fbc2824e408aacd`.
- B: `.imd/reads/artifacts/item-s1-port-b`; original artifact `artifacts/goal/batches/r4-extend/items/s1-port-b/result.json`; SHA-256 `2427a5009a333f5b6cc38a89d11713bd3f4ef8f4762e2e7d9c604dc1717ebbe8`.
- C: `.imd/reads/artifacts/item-s1-port-c`; original artifact `artifacts/goal/batches/r4-extend/items/s1-port-c/result.json`; SHA-256 `3e2989be9c8b945e41448fc61537f86cca222080825a48cdc3d33758d8bc3d86`.

[A]: ../../../../../../.imd/reads/artifacts/item-s1-port-a
[B]: ../../../../../../.imd/reads/artifacts/item-s1-port-b
[C]: ../../../../../../.imd/reads/artifacts/item-s1-port-c

```json
{
  "candidate_sha256": "bed6def9407c0304d052bec656525e73fa9afd6c0422d6589c3c0f22d268bf9a",
  "comparator_sha256": "bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae",
  "blocks": [
    {
      "key": "s1-port-a",
      "idea": "retreat-crossing's posterior reweight ported to spread 1",
      "candidate_sha256": "bed6def9407c0304d052bec656525e73fa9afd6c0422d6589c3c0f22d268bf9a",
      "comparator_sha256": "bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae",
      "seeds": {
        "start": 430500,
        "end": 430999
      },
      "n": 500,
      "complete": true,
      "missing_seeds": [],
      "failures": [],
      "check_values": [
        17.1160017503,
        20.0171113118,
        2.3903113616,
        241.4847522404
      ],
      "python_version": "3.10.12",
      "seconds_per_simulation": 0.9393178504072129,
      "overall": {
        "n": 500,
        "sum_d": 25.46095368359997,
        "sum_d2": 1078.889044339272,
        "mean_diff": 0.05092190736719994,
        "se": 0.06571916092192462,
        "comparator_mean": 109.4413717046452,
        "candidate_mean": 109.4922936120124,
        "retail_diff": -0.04894008129820033,
        "arb_diff": 0.09986198867200012
      },
      "by_spread": {
        "1": {
          "n": 122,
          "sum_d": 25.46095368359997,
          "sum_d2": 1078.889044339272,
          "mean_diff": 0.20869634166885223,
          "se": 0.2696768598815919,
          "comparator_mean": 45.75890189088931,
          "candidate_mean": 45.967598232558196,
          "retail_diff": -0.20057410368114886,
          "arb_diff": 0.4092704453770497
        },
        "2": {
          "n": 118,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 95.62232832857798,
          "candidate_mean": 95.62232832857798,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "3": {
          "n": 131,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 114.67834917048931,
          "candidate_mean": 114.67834917048931,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "4": {
          "n": 129,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 176.9907080428511,
          "candidate_mean": 176.9907080428511,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        }
      },
      "notes": "Frozen candidate and comparator hashes verified before execution. N check values matched at 6 decimals. Runs were serial, unsandboxed, in ten 50-seed chunks; each strategy used a fresh instance. Every sampled spread matched the first rival ask-minus-bid width 2s-1. Timing includes both simulations and per-seed record I/O.",
      "source": ".imd/reads/artifacts/item-s1-port-a",
      "source_sha256": "76c4b742a20a4ef444f97a5119acc18fe581e630179d5ceb0fbc2824e408aacd",
      "flag": "CHECK_REFERENCE_UNAVAILABLE"
    },
    {
      "key": "s1-port-b",
      "idea": "measure d-s1-retreat-crossing-port (retreat-crossing posterior reweight ported to spread 1) vs comparator N, seeds 431000-431499 paired",
      "candidate_sha256": "bed6def9407c0304d052bec656525e73fa9afd6c0422d6589c3c0f22d268bf9a",
      "comparator_sha256": "bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae",
      "seeds": {
        "start": 431000,
        "end": 431499
      },
      "n": 500,
      "complete": true,
      "missing_seeds": [],
      "failures": [],
      "check_values": [
        17.116002,
        20.017111,
        2.390311,
        241.484752
      ],
      "python_version": "3.12.3",
      "seconds_per_simulation": 0.783,
      "overall": {
        "n": 500,
        "sum_d": -202.69204549620017,
        "sum_d2": 102839.31930686689,
        "mean_diff": -0.40538409099240036,
        "se": 0.6417572043410619,
        "comparator_mean": 90.7981984582868,
        "candidate_mean": 90.39281436729439,
        "retail_diff": -0.06421567164800032,
        "arb_diff": -0.34116841935460007
      },
      "by_spread": {
        "1": {
          "n": 120,
          "sum_d": -202.69204549620017,
          "sum_d2": 102839.31930686689,
          "mean_diff": -1.6891003791350014,
          "se": 2.679115098274416,
          "comparator_mean": 47.845470400452506,
          "candidate_mean": 46.1563700213175,
          "retail_diff": -0.26756529853333466,
          "arb_diff": -1.421535080644167
        },
        "2": {
          "n": 144,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 51.38938116759722,
          "candidate_mean": 51.38938116759722,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "3": {
          "n": 114,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 118.18809850139738,
          "candidate_mean": 118.18809850139738,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "4": {
          "n": 122,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 153.96826773603115,
          "candidate_mean": 153.96826773603115,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        }
      },
      "notes": "Simulator b244530 unmodified, single process, no sandbox. Both code hashes verified before running. Check values matched for N on 310000-310003. Spread check: first observed rival ask-bid == 2s-1 for all records (mismatches: 0). Per-seed total_edge from engine (rounded to 1e-10 by the simulator). Mean diff -0.405 +/- 0.642.",
      "source": ".imd/reads/artifacts/item-s1-port-b",
      "source_sha256": "2427a5009a333f5b6cc38a89d11713bd3f4ef8f4762e2e7d9c604dc1717ebbe8",
      "flag": "CHECK_REFERENCE_UNAVAILABLE"
    },
    {
      "key": "s1-port-c",
      "idea": "d-s1-retreat-crossing-port: retreat-crossing's posterior reweight ported to spread 1; frozen paired measurement against N",
      "candidate_sha256": "bed6def9407c0304d052bec656525e73fa9afd6c0422d6589c3c0f22d268bf9a",
      "comparator_sha256": "bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae",
      "seeds": {
        "start": 431500,
        "end": 431999
      },
      "n": 500,
      "complete": true,
      "missing_seeds": [],
      "failures": [],
      "check_values": [
        17.1160017503,
        20.0171113118,
        2.3903113616,
        241.4847522404
      ],
      "python_version": "3.12.3",
      "seconds_per_simulation": 1.2140541104292497,
      "overall": {
        "n": 500,
        "sum_d": 159.47161240529996,
        "sum_d2": 21068.531449743343,
        "mean_diff": 0.31894322481059995,
        "se": 0.290239822468871,
        "comparator_mean": 103.6516891341344,
        "candidate_mean": 103.97063235894501,
        "retail_diff": -0.23029245990680003,
        "arb_diff": 0.5492356847063999
      },
      "by_spread": {
        "1": {
          "n": 118,
          "sum_d": 159.47161240529996,
          "sum_d2": 21068.531449743343,
          "mean_diff": 1.3514543424177963,
          "se": 1.2289960041560861,
          "comparator_mean": 35.55252499385,
          "candidate_mean": 36.903979336267795,
          "retail_diff": -0.9758155080796611,
          "arb_diff": 2.3272698504508473
        },
        "2": {
          "n": 120,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 83.9336891389275,
          "candidate_mean": 83.9336891389275,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "3": {
          "n": 139,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 119.2726774175151,
          "candidate_mean": 119.2726774175151,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        },
        "4": {
          "n": 123,
          "sum_d": 0.0,
          "sum_d2": 0.0,
          "mean_diff": 0.0,
          "se": 0.0,
          "comparator_mean": 170.56668097631706,
          "candidate_mean": 170.56668097631706,
          "retail_diff": 0.0,
          "arb_diff": 0.0
        }
      },
      "notes": "Unmodified simulator b244530ee2a6247b5f930830eeca9dd950da0e7e; default ChallengeConfig/ParameterVariance, 2000 steps. Serial, unsandboxed; ten chunks of 50 seeds. Hashes verified before runs. Fresh loaded strategy per simulation; transparent observer checked first rival quote gap = 2s-1 for both strategies. Check values match within 0.0000005. Exactly one record per strategy per seed. Statistics use unrounded edges; seconds_per_simulation excludes checks and loading. No tuning or finalist seeds used.",
      "source": ".imd/reads/artifacts/item-s1-port-c",
      "source_sha256": "3e2989be9c8b945e41448fc61537f86cca222080825a48cdc3d33758d8bc3d86",
      "flag": "CHECK_REFERENCE_UNAVAILABLE"
    }
  ],
  "pooled": {
    "overall": {
      "n": 1500,
      "sum_d": -17.75947940730023,
      "sum_d2": 124986.73980094951,
      "mean_diff": -0.011839652938200154,
      "se": 0.2357681624671214,
      "retail_diff": -0.11448273761766689,
      "arb_diff": 0.10264308467460001
    },
    "by_spread": {
      "1": {
        "n": 360,
        "sum_d": -17.75947940730023,
        "sum_d2": 124986.73980094951,
        "mean_diff": -0.049331887242500636,
        "se": 0.9834040061328786,
        "retail_diff": -0.4770114067402787,
        "arb_diff": 0.4276795194775
      },
      "2": {
        "n": 382,
        "sum_d": 0.0,
        "sum_d2": 0.0,
        "mean_diff": 0.0,
        "se": 0.0,
        "retail_diff": 0.0,
        "arb_diff": 0.0
      },
      "3": {
        "n": 384,
        "sum_d": 0.0,
        "sum_d2": 0.0,
        "mean_diff": 0.0,
        "se": 0.0,
        "retail_diff": 0.0,
        "arb_diff": 0.0
      },
      "4": {
        "n": 374,
        "sum_d": 0.0,
        "sum_d2": 0.0,
        "mean_diff": 0.0,
        "se": 0.0,
        "retail_diff": 0.0,
        "arb_diff": 0.0
      }
    }
  },
  "per_seed": [
    [430500,4,0.0],
    [430501,1,-1.242262],
    [430502,1,2.086895],
    [430503,3,0.0],
    [430504,4,0.0],
    [430505,2,0.0],
    [430506,4,0.0],
    [430507,3,0.0],
    [430508,4,0.0],
    [430509,4,0.0],
    [430510,2,0.0],
    [430511,4,0.0],
    [430512,4,0.0],
    [430513,4,0.0],
    [430514,4,0.0],
    [430515,3,0.0],
    [430516,1,0.020173],
    [430517,4,0.0],
    [430518,1,0.051673],
    [430519,1,7.262212],
    [430520,1,2.585804],
    [430521,4,0.0],
    [430522,1,0.338525],
    [430523,4,0.0],
    [430524,4,0.0],
    [430525,3,0.0],
    [430526,4,0.0],
    [430527,4,0.0],
    [430528,4,0.0],
    [430529,3,0.0],
    [430530,3,0.0],
    [430531,3,0.0],
    [430532,2,0.0],
    [430533,4,0.0],
    [430534,3,0.0],
    [430535,1,-14.998057],
    [430536,3,0.0],
    [430537,1,0.037196],
    [430538,1,0.010603],
    [430539,4,0.0],
    [430540,4,0.0],
    [430541,4,0.0],
    [430542,2,0.0],
    [430543,2,0.0],
    [430544,2,0.0],
    [430545,1,-5.252592],
    [430546,1,1.343069],
    [430547,1,0.400921],
    [430548,1,5.781142],
    [430549,3,0.0],
    [430550,3,0.0],
    [430551,1,0.10717],
    [430552,3,0.0],
    [430553,4,0.0],
    [430554,3,0.0],
    [430555,2,0.0],
    [430556,2,0.0],
    [430557,2,0.0],
    [430558,2,0.0],
    [430559,4,0.0],
    [430560,3,0.0],
    [430561,3,0.0],
    [430562,1,-0.005129],
    [430563,3,0.0],
    [430564,3,0.0],
    [430565,1,0.000753],
    [430566,1,0.0],
    [430567,1,-1.156775],
    [430568,2,0.0],
    [430569,4,0.0],
    [430570,4,0.0],
    [430571,3,0.0],
    [430572,3,0.0],
    [430573,4,0.0],
    [430574,4,0.0],
    [430575,3,0.0],
    [430576,2,0.0],
    [430577,3,0.0],
    [430578,3,0.0],
    [430579,4,0.0],
    [430580,3,0.0],
    [430581,4,0.0],
    [430582,2,0.0],
    [430583,1,-0.009562],
    [430584,4,0.0],
    [430585,2,0.0],
    [430586,4,0.0],
    [430587,2,0.0],
    [430588,4,0.0],
    [430589,3,0.0],
    [430590,1,0.058914],
    [430591,2,0.0],
    [430592,4,0.0],
    [430593,4,0.0],
    [430594,1,-0.015042],
    [430595,3,0.0],
    [430596,3,0.0],
    [430597,1,0.166801],
    [430598,1,0.128234],
    [430599,3,0.0],
    [430600,2,0.0],
    [430601,4,0.0],
    [430602,4,0.0],
    [430603,2,0.0],
    [430604,2,0.0],
    [430605,4,0.0],
    [430606,4,0.0],
    [430607,3,0.0],
    [430608,2,0.0],
    [430609,3,0.0],
    [430610,2,0.0],
    [430611,2,0.0],
    [430612,3,0.0],
    [430613,3,0.0],
    [430614,1,1.061236],
    [430615,4,0.0],
    [430616,1,0.410151],
    [430617,2,0.0],
    [430618,3,0.0],
    [430619,3,0.0],
    [430620,4,0.0],
    [430621,2,0.0],
    [430622,4,0.0],
    [430623,1,-4.620441],
    [430624,1,3.695144],
    [430625,4,0.0],
    [430626,4,0.0],
    [430627,1,-2.314952],
    [430628,4,0.0],
    [430629,2,0.0],
    [430630,1,-0.020816],
    [430631,2,0.0],
    [430632,1,-0.014802],
    [430633,2,0.0],
    [430634,1,-0.006634],
    [430635,2,0.0],
    [430636,1,-0.003631],
    [430637,3,0.0],
    [430638,1,-1.317216],
    [430639,2,0.0],
    [430640,2,0.0],
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}
```