ResultThe frozen n-tuple tables as the leaf of the depth-4 fair search: a two-by-two leaf-by-depth screen on a fresh block
Held-out screen, 512 never-read paired public-development games (0xa52f2580+), four arms on identical seeds, no training.
On this page
- Recorded
No explanation has been written for this record yet.
Technical recordMetrics, gate checks and limitations
Held-out screen, 512 never-read paired public-development games (0xa52f2580+), four arms on identical seeds, no training. The frozen tables (SHA-256 0ade9d4e4080ebdd52a1474b1a13410dc8dfb77f5eba24b078aa7703c92ace0b) as the leaf of the depth-4 seven-stratum fair search averaged 516,155 points and 148.75 moves against 465,675 points and 134.82 moves for the same tables as the depth-3 leaf: paired +50,479 points (bootstrap 95% lower bound +14,707, Student-t lower bound +14,086, upper bound +86,224, detection floor 36,331), W-T-L 284-0-228, halves +67,335 / +33,623, lower quartile 233,182 vs 212,969, moves +13.93. The preregistered gate PASSES. The fair leaf's own fourth ply on these seeds: fair-d4s7 382,567 against fair-d3s7 332,968, fair-d4s7 minus fair-d3s7: paired +49,599 (bootstrap 95% lower bound +25,751, Student-t lower bound +25,578, upper bound +73,244, detection floor 23,979), W-T-L 289-0-223, halves +45,189 / +54,009. Depth-step interaction, per game (tables d4 minus tables d3) minus (fair d4 minus fair d3): +881 (bootstrap LB -40,932, t LB -41,742, UB +42,867, floor 42,550, W-T-L 250-0-262): the preregistered verdict is 'inconclusive'. Persistence: prior-d4s7 minus fair-d4s7: paired +133,588 (bootstrap 95% lower bound +102,051, Student-t lower bound +101,161, upper bound +165,801, detection floor 32,371), W-T-L 314-0-198, halves +137,477 / +129,699. The persistence criteria PASS. The tables' depth-3 margin on these seeds: prior-d3s7 minus fair-d3s7: paired +132,707 (bootstrap 95% lower bound +102,193, Student-t lower bound +101,741, upper bound +163,903, detection floor 30,913), W-T-L 309-0-203, halves +115,331 / +150,084. prior-d4s7 minus fair-d3s7: +183,187 (LB +150,976). Logical work per game: prior-d4s7 795,922,316, prior-d3s7 22,193,672, fair-d4s7 558,924,581, fair-d3s7 15,568,331; mean wall seconds per game on the shared 32-thread workstation: 152.3, 4.1, 175.7, 4.5. Theory falsifiers: primary upper bound below zero False; second leg upper bound below zero False; persistence lower bound at or below zero False.
- ✓All CHECK gates passed on the frozen tables before the leased seed was read (including leaf-in-d4-search-determinism) — observed: 19 gate lines
- ✓screen artifact: illegalDecisions 0 and incompleteDecisions 0 in every arm — observed: null
- ✓bootstrap 95% lower bound of prior-d4s7 minus prior-d3s7 > 0 — observed: 14706.909765625
- ✓Student-t 95% lower bound > 0 — observed: 14085.866195359107
- ✓paired mean delta > 0 in both halves — observed: [67335.2890625, 33623.49609375]
- ✓prior-d4s7 Q25 >= prior-d3s7 Q25 — observed: [233181.75, 212968.75]
- ✓Every table arm is the exact frozen best-weights.bin of RUN-20260905T193006Z-4fbeb4e5 (SHA-256 verified before the screen lease opened) — observed: 0ade9d4e4080ebdd52a1474b1a13410dc8dfb77f5eba24b078aa7703c92ace0b
- ✓Persistence (beside the gate): bootstrap 95% lower bound of prior-d4s7 minus fair-d4s7 > 0 — observed: 102050.977734375
- ✓Persistence (beside the gate): Student-t 95% lower bound > 0 — observed: 101161.09894605307
- ✓Persistence (beside the gate): paired mean delta > 0 in both halves — observed: [137477.09765625, 129699.0859375]
- ✓Persistence (beside the gate): prior-d4s7 Q25 >= fair-d4s7 Q25 — observed: [233181.75, 208481.25]
- –Depth-step interaction verdict (beside the gate): larger / smaller / inconclusive — observed: {"verdict": "inconclusive", "meanDelta": 880.701171875, "bootstrapLower95": -40931.9, "bootstrapUpper95": 42867.4783203125}
Technical recordRecorded metrics
- games
- 512
- seedStartHex
- 0xa52f2580
- arms
- prior-d3s7
- meanScore
- 465675.2422
- medianScore
- 352446.5000
- q25Score
- 212968.7500
- minScore
- 85,472
- maxScore
- 2,674,728
- sdScore
- 362210.7989
- meanMoves
- 134.8203
- q25Moves
- 65
- numberedClearsPerMove
- 2.0987
- coverRevealsPerMove
- 1.1851
- meanOccupiedCells
- 23.2526
- censoredGames
- 0
- illegalDecisions
- 0
- incompleteDecisions
- 0
- meanWork
- 22193672.2422
- meanWallSecondsPerGame
- 4.0569
- games
- 512
- prior-d4s7
- meanScore
- 516154.6348
- medianScore
- 392496.5000
- q25Score
- 233181.7500
- minScore
- 85,682
- maxScore
- 2,716,683
- sdScore
- 402055.6663
- meanMoves
- 148.7461
- q25Moves
- 70
- numberedClearsPerMove
- 2.1255
- coverRevealsPerMove
- 1.2033
- meanOccupiedCells
- 23.0288
- censoredGames
- 0
- illegalDecisions
- 0
- incompleteDecisions
- 0
- meanWork
- 795922316.0430
- meanWallSecondsPerGame
- 152.3118
- games
- 512
- fair-d3s7
- meanScore
- 332967.8516
- medianScore
- 262338.5000
- q25Score
- 174598.7500
- minScore
- 102,599
- maxScore
- 1,745,301
- sdScore
- 239092.2408
- meanMoves
- 97.7227
- q25Moves
- 55
- numberedClearsPerMove
- 2.0115
- coverRevealsPerMove
- 1.1225
- meanOccupiedCells
- 23.9550
- censoredGames
- 0
- illegalDecisions
- 0
- incompleteDecisions
- 0
- meanWork
- 15568331.0957
- meanWallSecondsPerGame
- 4.4931
- games
- 512
- fair-d4s7
- meanScore
- 382566.5430
- medianScore
- 303,015
- q25Score
- 208481.2500
- minScore
- 85,801
- maxScore
- 2,634,604
- sdScore
- 273944.2597
- meanMoves
- 110.4453
- q25Moves
- 60
- numberedClearsPerMove
- 2.0459
- coverRevealsPerMove
- 1.1460
- meanOccupiedCells
- 23.8560
- censoredGames
- 0
- illegalDecisions
- 0
- incompleteDecisions
- 0
- meanWork
- 558924581.4180
- meanWallSecondsPerGame
- 175.7455
- games
- 512
- contrasts
- fair-d4s7-vs-fair-d3s7
- score
- n
- 512
- meanDelta
- 49598.6914
- pairedSd
- 329836.4896
- bootstrapLower95
- 25751.4199
- bootstrapUpper95
- 73244.3458
- studentTLower95
- 25578.3583
- detectionFloor
- 23978.9201
- wins
- 289
- ties
- 0
- losses
- 223
- firstHalfMeanDelta
- 45188.8555
- secondHalfMeanDelta
- 54008.5273
- q25Delta
- 33882.5000
- candidateQ25
- 208481.2500
- referenceQ25
- 174598.7500
- moves
- n
- 512
- meanDelta
- 12.7227
- pairedSd
- 89.7841
- bootstrapLower95
- 6.2207
- bootstrapUpper95
- 19.1624
- studentTLower95
- 6.1841
- detectionFloor
- 6.5273
- wins
- 279
- ties
- 18
- losses
- 215
- firstHalfMeanDelta
- 11.6719
- secondHalfMeanDelta
- 13.7734
- q25Delta
- 5
- candidateQ25
- 60
- referenceQ25
- 55
- prior-d3s7-vs-fair-d3s7
- score
- n
- 512
- meanDelta
- 132707.3906
- pairedSd
- 425213.8113
- bootstrapLower95
- 102193.1854
- bootstrapUpper95
- 163903.4781
- studentTLower95
- 101741.2067
- detectionFloor
- 30912.7957
- wins
- 309
- ties
- 0
- losses
- 203
- firstHalfMeanDelta
- 115330.6641
- secondHalfMeanDelta
- 150084.1172
- q25Delta
- 38,370
- candidateQ25
- 212968.7500
- referenceQ25
- 174598.7500
- moves
- n
- 512
- meanDelta
- 37.0977
- pairedSd
- 117.1717
- bootstrapLower95
- 28.7245
- bootstrapUpper95
- 45.6993
- studentTLower95
- 28.5646
- detectionFloor
- 8.5183
- wins
- 309
- ties
- 13
- losses
- 190
- firstHalfMeanDelta
- 32.4453
- secondHalfMeanDelta
- 41.7500
- q25Delta
- 10
- candidateQ25
- 65
- referenceQ25
- 55
- prior-d3s7-vs-fair-d4s7
- score
- n
- 512
- meanDelta
- 83108.6992
- pairedSd
- 435893.1761
- bootstrapLower95
- 51348.7019
- bootstrapUpper95
- 114438.8502
- studentTLower95
- 51364.7909
- detectionFloor
- 31689.1793
- wins
- 282
- ties
- 0
- losses
- 230
- firstHalfMeanDelta
- 70141.8086
- secondHalfMeanDelta
- 96075.5898
- q25Delta
- 4487.5000
- candidateQ25
- 212968.7500
- referenceQ25
- 208481.2500
- moves
- n
- 512
- meanDelta
- 24.3750
- pairedSd
- 119.4808
- bootstrapLower95
- 15.6656
- bootstrapUpper95
- 32.9825
- studentTLower95
- 15.6738
- detectionFloor
- 8.6862
- wins
- 277
- ties
- 16
- losses
- 219
- firstHalfMeanDelta
- 20.7734
- secondHalfMeanDelta
- 27.9766
- q25Delta
- 5
- candidateQ25
- 65
- referenceQ25
- 60
- prior-d4s7-vs-prior-d3s7
- score
- n
- 512
- meanDelta
- 50479.3926
- pairedSd
- 499739.6551
- bootstrapLower95
- 14706.9098
- bootstrapUpper95
- 86224.4920
- studentTLower95
- 14085.8662
- detectionFloor
- 36330.7810
- wins
- 284
- ties
- 0
- losses
- 228
- firstHalfMeanDelta
- 67335.2891
- secondHalfMeanDelta
- 33623.4961
- q25Delta
- 20,213
- candidateQ25
- 233181.7500
- referenceQ25
- 212968.7500
- moves
- n
- 512
- meanDelta
- 13.9258
- pairedSd
- 137.7427
- bootstrapLower95
- 4.0720
- bootstrapUpper95
- 23.7852
- studentTLower95
- 3.8947
- detectionFloor
- 10.0138
- wins
- 278
- ties
- 14
- losses
- 220
- firstHalfMeanDelta
- 18.5117
- secondHalfMeanDelta
- 9.3398
- q25Delta
- 5
- candidateQ25
- 70
- referenceQ25
- 65
- prior-d4s7-vs-fair-d4s7
- score
- n
- 512
- meanDelta
- 133588.0918
- pairedSd
- 445272.9877
- bootstrapLower95
- 102050.9777
- bootstrapUpper95
- 165801.3641
- studentTLower95
- 101161.0989
- detectionFloor
- 32371.0861
- wins
- 314
- ties
- 0
- losses
- 198
- firstHalfMeanDelta
- 137477.0977
- secondHalfMeanDelta
- 129699.0859
- q25Delta
- 24700.5000
- candidateQ25
- 233181.7500
- referenceQ25
- 208481.2500
- moves
- n
- 512
- meanDelta
- 38.3008
- pairedSd
- 122.5025
- bootstrapLower95
- 29.6404
- bootstrapUpper95
- 47.2169
- studentTLower95
- 29.3795
- detectionFloor
- 8.9059
- wins
- 313
- ties
- 16
- losses
- 183
- firstHalfMeanDelta
- 39.2852
- secondHalfMeanDelta
- 37.3164
- q25Delta
- 10
- candidateQ25
- 70
- referenceQ25
- 60
- prior-d4s7-vs-fair-d3s7
- score
- n
- 512
- meanDelta
- 183186.7832
- pairedSd
- 452824.9076
- bootstrapLower95
- 150975.5535
- bootstrapUpper95
- 216399.5734
- studentTLower95
- 150209.8220
- detectionFloor
- 32920.1063
- wins
- 345
- ties
- 0
- losses
- 167
- firstHalfMeanDelta
- 182665.9531
- secondHalfMeanDelta
- 183707.6133
- q25Delta
- 58,583
- candidateQ25
- 233181.7500
- referenceQ25
- 174598.7500
- moves
- n
- 512
- meanDelta
- 51.0234
- pairedSd
- 124.9335
- bootstrapLower95
- 42.1543
- bootstrapUpper95
- 60.1797
- studentTLower95
- 41.9252
- detectionFloor
- 9.0826
- wins
- 343
- ties
- 8
- losses
- 161
- firstHalfMeanDelta
- 50.9570
- secondHalfMeanDelta
- 51.0898
- q25Delta
- 15
- candidateQ25
- 70
- referenceQ25
- 55
- depth
- primary
- prior-d4s7-vs-prior-d3s7
- tablesStep
- meanDelta
- 50479.3926
- bootstrapLower95
- 14706.9098
- bootstrapUpper95
- 86224.4920
- studentTLower95
- 14085.8662
- detectionFloor
- 36330.7810
- wins
- 284
- ties
- 0
- losses
- 228
- firstHalfMeanDelta
- 67335.2891
- secondHalfMeanDelta
- 33623.4961
- candidateQ25
- 233181.7500
- referenceQ25
- 212968.7500
- fairStep
- meanDelta
- 49598.6914
- bootstrapLower95
- 25751.4199
- bootstrapUpper95
- 73244.3458
- studentTLower95
- 25578.3583
- detectionFloor
- 23978.9201
- wins
- 289
- ties
- 0
- losses
- 223
- firstHalfMeanDelta
- 45188.8555
- secondHalfMeanDelta
- 54008.5273
- persistence
- checks
- criterion
- screen artifact: illegalDecisions 0 and incompleteDecisions 0 in every arm
- passed
- true
- criterion
- bootstrap 95% lower bound of prior-d4s7 minus fair-d4s7 > 0
- passed
- true
- observed
- 102050.9777
- criterion
- Student-t 95% lower bound > 0
- passed
- true
- observed
- 101161.0989
- criterion
- paired mean delta > 0 in both halves
- passed
- true
- observed
- 137477.0977
- 129699.0859
- criterion
- prior-d4s7 Q25 >= fair-d4s7 Q25
- passed
- true
- observed
- 233181.7500
- 208481.2500
- passed
- true
- interaction
- verdict
- inconclusive
- n
- 512
- meanDelta
- 880.7012
- pairedSd
- 585280.6111
- bootstrapLower95
- -40931.9000
- bootstrapUpper95
- 42867.4783
- studentTLower95
- -41742.3429
- detectionFloor
- 42549.5586
- wins
- 250
- ties
- 0
- losses
- 262
- firstHalfMeanDelta
- 22146.4336
- secondHalfMeanDelta
- -20385.0313
- theory
- primaryFalsifierUpperBoundBelowZero
- false
- secondLegUpperBoundBelowZero
- false
- persistenceLowerBoundAtOrBelowZero
- false
- Public-development SCREEN tier, 512 paired games opened once; nothing here is a qualification claim, and protected and final cohorts stay sealed.
- No table was trained or changed: both table arms are the first experiment's frozen candidate, selected there at the best of twenty training-role validation points; this screen inherits that selection but adds none of its own.
- The depth-4 search is the standing reference configuration (1M-entry table, seven strata, terminal utility -1,000,000); a different terminal utility, table size or stratum count is a different configuration and is not tested here.
- The fair-d3s7 and fair-d4s7 arms are context for the interaction reading; the preregistered comparator is the identical tables at depth 3.
- Wall times were measured on a shared workstation with all four arms run in sequence at 32 threads; logical work and the ratios between arms on the same seeds are the trustworthy cost quantities.
- The per-game artifact is cited by its public archive reference (data.drop7.dev, immutable run-scoped key, digest in the fragment); a byte-identical copy remains under runs/RUN-20260906T081306Z-e62d9837/ntuple-scale/screen/heldout.json on the workstation and a promoted copy under artifacts/results/.
Recorded against The frozen n-tuple tables as the leaf of the depth-4 fair search: a two-by-two leaf-by-depth screen on a fresh block.
Agent contextHow to extend this record
To add a reader-facing explanation, write web/content/research/RS-20260906T171746Z-1623f833.mdx; it renders above this record on the next request. The recorded metrics, gate checks and limitations are in the technical record above.
Record file: research/results/RS-20260906T171746Z-1623f833.json, validated against research/schemas/result-v1.schema.json.
- Run ids
RUN-20260906T081306Z-e62d9837
- Contribution ids
CT-20260906T081306Z-c70f4648
- Per-game artifact
https://data.drop7.dev/runs/RUN-20260906T081306Z-e62d9837/ntuple-scale/screen/heldout.json#sha256=fa54ce8648e25b58ef3dc1aff3047b87c729c3e8cbd54db7d9976882603ff71d(sha256fa54ce8648e25b58ef3dc1aff3047b87c729c3e8cbd54db7d9976882603ff71d, 2048 records)- Artifact manifest
artifacts/results/EX-20260906-ntuple-scale-depth4-frozen-tables-54aed6a3/RUN-20260906T081306Z-e62d9837/manifest.json- Machine profiles
research/system-profiles/MACH-20260906T081306Z-e87b3f5a.json