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docs/research/roadmap.md

Research roadmap toward a million-point policy

This roadmap turns the opportunities in strategies.md into an ordered, falsifiable program. It is not a claim that the proposed model will work. It prioritizes the failure most often seen in the existing research: models that predict visited states but cannot reliably rank all legal sibling actions over several row-rise cycles.

Research question

Can a policy using only public state rank every legal action by its long-horizon stochastic outcome, across disjoint whole-game origins, well enough to improve complete games over unchanged fair D4?

Fair D4 is the strongest retained reference, with a ledger-recorded broader mean near 308,296, but it is far below the target. Privileged planners and long rollouts show that valuable multi-cycle structure exists; previous students, partial sibling panels, and expensive search variants did not transfer or estimate it reliably. See status.md for the evidence boundary.

Safe bootstrap work package

In a checkout with no target Linux machine profile and no authorized retained dataset manifest, the first autonomous task is a CHECK-tier AFBR-40 closure preflight—not gameplay or model training. Register a no-gameplay diagnostic that:

  • freezes the public state/afterstate key and required sibling/label/provenance fields;
  • inventories repository-local filenames and manifests without reading seed contents;
  • advances only if the coordinator names authorized, previously evaluated development artifacts; and
  • otherwise records that closure is unestablished.

A suitable initial bound is 15 minutes, one CPU, 2 GiB of host memory, and an immediate stop on seed-content access or ambiguous provenance. This preflight can falsify data availability, but it cannot establish policy strength or claim that AFBR-40 has been implemented.

Priority map

PriorityWork packageWhy nowFirst falsification gateHardware fit
1Reproduce/profile corrected fair D4Establish trustworthy speed, memory, and decision baselineExact actions/traces; three stable timing repeatsCPU, cache, many games
2Semantics-preserving D4/D5 accelerationMore reliable lookahead/data per day≥2× end-to-end target chosen in protocol with exact parityCPU, 128 GB table sweeps
3AFBR-40 closure auditPrevent another played-action/sibling coverage failureQuantified successor completeness without new gameplayCPU/RAM, read-only data audit
4Action-complete multi-cycle corpusGive every legal action comparable targets10k-root pilot has complete labels and stable scenario halvesCPU simulation, large RAM, parallel I/O
5Distributional afterstate rankerLearn long survival/score potential, not only behavior imitationBeats fixed D4 ranking metrics on disjoint originsROCm training, batched GPU
6Conservative neural-guided D4Limit harm while testing useful overridesCalibrated top-two overrides pass offline and gameplay gatesCPU search + GPU leaf batches
7Human-style rise-cycle optionsRepresent build, protect, crack, release, stabilizeAblations improve origin-level ranking and complete gamesGPU training, CPU option search
8Controlled D5/tree-search factorial — done 2026-08-21Separated depth from chance varianceRan; see §8 below. Depth 5 rejected at both stratum countsCPU/RAM plus GPU leaves
9All-sibling policy iterationImprove on states the new policy actually visitsEvery round passes unchanged origin foldsParallel CPU generation + GPU training
10Formal qualificationEstablish the actual claimFrozen 256/256/256 protocol gatesExclusive machine profile

1. Re-establish the reference on the target machine

Before changing strategy, create a current source/binary/machine manifest and measure fair D4 under corrected scoring. Preserve fixed algorithmic work and selected actions. Benchmark raw transitions, complete games, D1/D2/D4 work, thread scaling, cache scaling, RSS, and thermal stability using permitted development diagnostics.

This step is engineering evidence. It does not re-open old confirmation data or upgrade ledger-recorded score means.

2. Accelerate exact search without changing it

Test incremental board/features, compact canonical keys, sharded transposition tables, parallel complete games, cache-size sweeps, and profile-guided changes. A candidate speedup must match transition traces, chance identities, root values within the frozen numeric contract, work counts, and chosen actions. Otherwise it becomes a new algorithmic experiment.

The 128 GB machine makes large tables possible, but table size is an independent factor. Measure hit rate and end-to-end speed rather than treating memory use as progress.

3. Resolve AFBR-40 before implementation

AFBR-40 is only a proposed action-free public afterstate model with an intended multi-cycle target. There is no implementation, protocol, checkpoint, or result. Its first task is a read-only closure audit:

  1. define the exact public state and afterstate keys;
  2. enumerate every legal action at each candidate root;
  3. enumerate required successors and long-outcome labels;
  4. determine what existing retained artifacts can reconstruct;
  5. report completeness by origin, phase, height, and legal-action count; and
  6. list missing data without filling it from new seeds.

If closure is incomplete, close the audit as a valid negative result and design a new corpus. Do not call a sparse or played-action panel successor-closed.

4. Build action-complete multi-cycle data

Start with about 10,000 public roots, not a full production corpus. For each root:

  • evaluate every legal sibling;
  • use common event-keyed random scenarios across siblings;
  • attach H40, H100, and H200 outcome distributions where budgets permit;
  • record score, survival by rise, terminal hazard, clear/reveal flow, chain statistics, and logical work;
  • store natural-game roots separately from curriculum/restart roots; and
  • split training, calibration, and held-out data by whole origin game.

Measure label stability between independent scenario halves. Scale toward 100,000+ roots only if completeness, stability, throughput, and held-out ranking justify the storage and compute.

5. Train a distributional afterstate ranker

Use one shared evaluator on each legal afterstate so action identity cannot act as a shortcut. Start simpler than a transformer:

  • categorical 7×7 public board encoding;
  • next visible disc, rise phase, and legal mask;
  • reflection-equivariant residual CNN or compact axial model;
  • return quantiles or distribution bins;
  • survival hazard by future rise;
  • clear/reveal flow and terminal-probability auxiliary heads; and
  • within-root pairwise/listwise loss in addition to scalar prediction.

Train on ROCm in large batches, but validate inference at every legal sibling. The first offline gate should compare top-1, top-2, pairwise accuracy, normalized regret, calibration, origin non-regression, and scenario-half action stability against fair D4. Freeze exact thresholds in the experiment record. The existing 477-root panel is reusable diagnosis, not fresh model-selection evidence.

6. Add the model above fair D4 conservatively

First compare only fair D4's top two near-tied actions. Override when a calibrated lower-confidence advantage exceeds a frozen threshold. Record coverage as well as accuracy; a policy that almost never acts has not solved the problem.

After a successful offline gate:

  1. test the confidence-gated override on paired development games;
  2. batch leaves across roots/games for GPU utilization;
  3. test full-width D4 with the multi-cycle leaf; and
  4. only then consider PUCT or progressive widening.

Do not begin with learned action pruning. Every legal root action remains eligible until the model has independently demonstrated safe sibling ranking.

7. Turn human strategy into testable structure

Humans describe long-term play in patterns: reservoirs, ladders, keeping a high covered disc reachable, protecting overlapping triggers, and releasing a chain at the right rise phase. Encode these as reflection-safe public features or five-move options:

  • build a reachable reservoir;
  • expose or crack covered discs;
  • preserve trigger overlap;
  • release stored chain energy; and
  • stabilize before a row rise.

Use auxiliary labels for trigger reachability, occupancy debt, cover access, terminal hazard, and build/stabilize/release phase. Keep a feature or option only when a preregistered ablation improves disjoint-origin action ranking. Saliency or a visually convincing board is not evidence.

Compare an eight-cycle option search against a primitive H40 search at equal logical work. This directly tests whether human-like temporal abstraction makes long-horizon planning easier.

8. Revisit depth and stochastic tree search as a factorial — RUN, 2026-08-21

This item has been executed at development tier and is closed. The factorial varied depth (2, 3, 4, 5) against chance strata (5, 7), plus a factored ladder over reveal-sample count, on 64 paired games per cell using the bit-exact accelerated engine.

The measured findings, in three figures. Depth and chance resolution interact with a sign — the fourth ply pays only under the exact chance model; the fifth ply is not measurable by this design, which is a different claim from being worthless; and the two axes substitute rather than compound, leaving a budget frontier with a flat top at the fair-D4 operating point, reachable from either axis. The arms, contrasts and floors are recorded in RS-20260821T205102Z-d89df4b5 and RS-20260821T192140Z-189fe392 and analysed in finding-15 and finding-16.

Mean score by search depth and chance resolution (shared cohort) Mean score by search depth and chance resolution (shared cohort). Cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring, 64 games per cell except the depth-5 seven-stratum arm, which was stopped by decision after the first 32 seeds (0xa51d1000-0xa51d101f) and is final. The stopped arm is drawn as its own dashed one-point series so the two sample sizes are never joined by a line (same convention as score-vs-depth). No per-mean confidence intervals are recorded anywhere for these arms; the bounds on the paired contrasts live in detection-floor-map. The d2s5 mean is the coordinator-supplied figure printed in finding-10's position-mode table and in the 2026-08-21 log ArmTable (the log path is not an accepted sourceRecord scheme, so the finding is cited). Evidence tier: development / public-development. Sources: docs/exploratory/finding-10-suite-validation.md, docs/exploratory/finding-05-chance-strata.md, docs/exploratory/finding-15-depth5-exact-estimator.md, RS-20260821T205102Z-d89df4b5. Mean score by search depth and chance resolution (shared cohort)200,000250,000300,000350,000400,000450,0002345mean score (points)search depth (plies)5 strata (approximate chance), search depth 2 | d2s5 | mean score: 249,641 points | n = 64 games | source: docs/exploratory/finding-10-suite-validation.md · | position-mode table, d2s5 row (also log 2026-08-21 ArmTable)5 strata (approximate chance), search depth 2d2s5mean score: 249,641 pointsn = 64 gamessource: docs/exploratory/finding-10-suite-validation.md ·position-mode table, d2s5 row (also log 2026-08-21 ArmTable)5 strata (approximate chance), search depth 3 | d3s5 | mean score: 305,051 points | n = 64 games | source: docs/exploratory/finding-05-chance-strata.md · Cost | table, depth 3 / 5 strata row5 strata (approximate chance), search depth 3d3s5mean score: 305,051 pointsn = 64 gamessource: docs/exploratory/finding-05-chance-strata.md · Costtable, depth 3 / 5 strata row5 strata (approximate chance), search depth 4 | d4s5 (frozen reference) | mean score: 297,327 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means table5 strata (approximate chance), search depth 4d4s5 (frozen reference)mean score: 297,327 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means table5 strata (approximate chance), search depth 5 | d5s5 | mean score: 288,704 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means table5 strata (approximate chance), search depth 5d5s5mean score: 288,704 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means table7 strata (exact chance), search depth 2 | d2s7 | mean score: 265,294 points | n = 64 games | source: docs/exploratory/finding-05-chance-strata.md · Cost | table, depth 2 / 7 strata row7 strata (exact chance), search depth 2d2s7mean score: 265,294 pointsn = 64 gamessource: docs/exploratory/finding-05-chance-strata.md · Costtable, depth 2 / 7 strata row7 strata (exact chance), search depth 3 | d3s7 | mean score: 312,327 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means table7 strata (exact chance), search depth 3d3s7mean score: 312,327 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means table7 strata (exact chance), search depth 4 | d4s7 | mean score: 398,498 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means table7 strata (exact chance), search depth 4d4s7mean score: 398,498 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means table7 strata, first 32 seeds (arm stopped, final), search depth 5 | d5s7: 32 of 64 planned games, stopped by decision, final | mean score: 411,874 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · metrics.d5s7MeanScore | (411,873.65625)7 strata, first 32 seeds (arm stopped, final), search depth 5d5s7: 32 of 64 planned games, stopped by decision, finalmean score: 411,874 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 · metrics.d5s7MeanScore(411,873.65625)5 strata (approximate chance)7 strata (exact chance)7 strata, first 32 seeds (arm stopped, final)
Mean score by search depth and chance resolution. The sign of the depth gradient flips with the stratum count.
Source data

Cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring, 64 games per cell except the depth-5 seven-stratum arm, which was stopped by decision after the first 32 seeds (0xa51d1000-0xa51d101f) and is final. The stopped arm is drawn as its own dashed one-point series so the two sample sizes are never joined by a line (same convention as score-vs-depth). No per-mean confidence intervals are recorded anywhere for these arms; the bounds on the paired contrasts live in detection-floor-map. The d2s5 mean is the coordinator-supplied figure printed in finding-10's position-mode table and in the 2026-08-21 log ArmTable (the log path is not an accepted sourceRecord scheme, so the finding is cited). Evidence tier: development / public-development.

Seriessearch depthmean scoreBoundsnSource
5 strata (approximate chance)2 d2s5249,641 points64docs/exploratory/finding-10-suite-validation.md position-mode table, d2s5 row (also log 2026-08-21 ArmTable)
5 strata (approximate chance)3 d3s5305,051 points64docs/exploratory/finding-05-chance-strata.md Cost table, depth 3 / 5 strata row
5 strata (approximate chance)4 d4s5 (frozen reference)297,327 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
5 strata (approximate chance)5 d5s5288,704 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
7 strata (exact chance)2 d2s7265,294 points64docs/exploratory/finding-05-chance-strata.md Cost table, depth 2 / 7 strata row
7 strata (exact chance)3 d3s7312,327 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
7 strata (exact chance)4 d4s7398,498 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
7 strata, first 32 seeds (arm stopped, final)5 d5s7: 32 of 64 planned games, stopped by decision, final411,874 points32RS-20260821T205102Z-d89df4b5 metrics.d5s7MeanScore (411,873.65625)

Spec: web/content/figures/depth-chance-factorial.json · 4 source records

Mean score against logical work per move — the flat-topped budget frontier Mean score against logical work per move — the flat-topped budget frontier. Cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring, n=64 per arm except the d5s7 point (32 of 64 planned games, stopped by decision, final), which is drawn as its own dashed one-point series so the two sample sizes are never joined by a line. Cache capacity differs across arms (60,000 entries for the recorded depth-4 comparators, 200,000 for the depth-5 arms, auto-sized 960,695 / 346,921 for the new reveal-sampling arms); capacity provably cannot change play but work per move is not comparable across capacities (finding-16 Limitations; RS-20260821T205102Z-d89df4b5 limitations). Equal-work pair: d3 M=6 (4,244,020; 376,442) vs d4 M=1 (4,956,614; 398,498) is statistically indistinguishable (paired -22,056 [-89,867, +46,009], RS-20260821T192140Z-189fe392 pairedD3M6MinusD4M1). The x axis is linear: the plan's log-scale recommendation is not expressible by the generator, and the d5s7 point dominates the range. Evidence tier: development / public-development. Sources: docs/exploratory/finding-05-chance-strata.md, RS-20260821T192140Z-189fe392, docs/exploratory/finding-15-depth5-exact-estimator.md, RS-20260821T205102Z-d89df4b5. Mean score against logical work per move — the flat-topped budgetfrontier250,000300,000350,000400,000450,0004,13954,429156,8341,045,7191,296,0344,244,0204,956,61413,506,43420,178,32730,183,227176,536,117mean score (points)logical work per move (work units)exact chance (7 strata), logical work per move 4139 | d2 M=1 | mean score: 265,294 points | n = 64 games | source: docs/exploratory/finding-05-chance-strata.md · Cost | table, depth 2 / 7 strata rowexact chance (7 strata), logical work per move 4139d2 M=1mean score: 265,294 pointsn = 64 gamessource: docs/exploratory/finding-05-chance-strata.md · Costtable, depth 2 / 7 strata rowexact chance (7 strata), logical work per move 156834 | d3 M=1 | mean score: 312,327 points | n = 64 games | source: RS-20260821T192140Z-189fe392 · | metrics.ladderWorkPerMoveD3N7.M1 / metrics.ladderD3N7.M1exact chance (7 strata), logical work per move 156834d3 M=1mean score: 312,327 pointsn = 64 gamessource: RS-20260821T192140Z-189fe392 ·metrics.ladderWorkPerMoveD3N7.M1 / metrics.ladderD3N7.M1exact chance (7 strata), logical work per move 1045719 | d3 M=3 | mean score: 337,306 points | n = 64 games | source: RS-20260821T192140Z-189fe392 · | metrics.ladderWorkPerMoveD3N7.M3 / metrics.ladderD3N7.M3exact chance (7 strata), logical work per move 1045719d3 M=3mean score: 337,306 pointsn = 64 gamessource: RS-20260821T192140Z-189fe392 ·metrics.ladderWorkPerMoveD3N7.M3 / metrics.ladderD3N7.M3exact chance (7 strata), logical work per move 4244020 | d3 M=6 | mean score: 376,442 points | n = 64 games | source: RS-20260821T192140Z-189fe392 · | metrics.ladderWorkPerMoveD3N7.M6 / metrics.ladderD3N7.M6exact chance (7 strata), logical work per move 4244020d3 M=6mean score: 376,442 pointsn = 64 gamessource: RS-20260821T192140Z-189fe392 ·metrics.ladderWorkPerMoveD3N7.M6 / metrics.ladderD3N7.M6exact chance (7 strata), logical work per move 4956614 | d4 M=1 (fair D4 reference) | mean score: 398,498 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means tableexact chance (7 strata), logical work per move 4956614d4 M=1 (fair D4 reference)mean score: 398,498 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means tableexact chance (7 strata), logical work per move 13506434 | d3 M=12 (full joint coverage) | mean score: 349,345 points | n = 64 games | source: RS-20260821T192140Z-189fe392 · | metrics.ladderWorkPerMoveD3N7.M12 / metrics.ladderD3N7.M12exact chance (7 strata), logical work per move 13506434d3 M=12 (full joint coverage)mean score: 349,345 pointsn = 64 gamessource: RS-20260821T192140Z-189fe392 ·metrics.ladderWorkPerMoveD3N7.M12 / metrics.ladderD3N7.M12exact chance (7 strata), logical work per move 20178327 | d4 M=2 | mean score: 356,548 points | n = 64 games | source: RS-20260821T192140Z-189fe392 · metrics.d4N7M2WorkPerMove | / metrics.d4N7M2MeanScoreexact chance (7 strata), logical work per move 20178327d4 M=2mean score: 356,548 pointsn = 64 gamessource: RS-20260821T192140Z-189fe392 · metrics.d4N7M2WorkPerMove/ metrics.d4N7M2MeanScoreapproximate chance (5 strata), logical work per move 54429 | d3 M=1 | mean score: 305,051 points | n = 64 games | source: docs/exploratory/finding-05-chance-strata.md · Cost | table, depth 3 / 5 strata rowapproximate chance (5 strata), logical work per move 54429d3 M=1mean score: 305,051 pointsn = 64 gamessource: docs/exploratory/finding-05-chance-strata.md · Costtable, depth 3 / 5 strata rowapproximate chance (5 strata), logical work per move 1296034 | d4 M=1 (frozen reference) | mean score: 297,327 points | n = 64 games | source: docs/exploratory/finding-05-chance-strata.md · Cost | table, depth 4 / 5 strata rowapproximate chance (5 strata), logical work per move 1296034d4 M=1 (frozen reference)mean score: 297,327 pointsn = 64 gamessource: docs/exploratory/finding-05-chance-strata.md · Costtable, depth 4 / 5 strata rowapproximate chance (5 strata), logical work per move 30183227 | d5 M=1 | mean score: 288,704 points | n = 64 games | source: docs/exploratory/finding-15-depth5-exact-estimator.md · | 8.3 cohort means tableapproximate chance (5 strata), logical work per move 30183227d5 M=1mean score: 288,704 pointsn = 64 gamessource: docs/exploratory/finding-15-depth5-exact-estimator.md ·8.3 cohort means tableexact chance, d5 M=1 (n=32, stopped, final), logical work per move 176536117 | d5s7: 32 of 64 planned games, stopped by decision, final | mean score: 411,874 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · metrics.d5s7WorkPerMove / | metrics.d5s7MeanScoreexact chance, d5 M=1 (n=32, stopped, final), logical work per move 176536117d5s7: 32 of 64 planned games, stopped by decision, finalmean score: 411,874 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 · metrics.d5s7WorkPerMove /metrics.d5s7MeanScoreexact chance (7 strata)approximate chance (5 strata)exact chance, d5 M=1 (n=32, stopped, final)
Mean score against logical work per move — the flat-topped budget frontier.
Source data

Cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring, n=64 per arm except the d5s7 point (32 of 64 planned games, stopped by decision, final), which is drawn as its own dashed one-point series so the two sample sizes are never joined by a line. Cache capacity differs across arms (60,000 entries for the recorded depth-4 comparators, 200,000 for the depth-5 arms, auto-sized 960,695 / 346,921 for the new reveal-sampling arms); capacity provably cannot change play but work per move is not comparable across capacities (finding-16 Limitations; RS-20260821T205102Z-d89df4b5 limitations). Equal-work pair: d3 M=6 (4,244,020; 376,442) vs d4 M=1 (4,956,614; 398,498) is statistically indistinguishable (paired -22,056 [-89,867, +46,009], RS-20260821T192140Z-189fe392 pairedD3M6MinusD4M1). The x axis is linear: the plan's log-scale recommendation is not expressible by the generator, and the d5s7 point dominates the range. Evidence tier: development / public-development.

Serieslogical work per movemean scoreBoundsnSource
exact chance (7 strata)4139 d2 M=1265,294 points64docs/exploratory/finding-05-chance-strata.md Cost table, depth 2 / 7 strata row
exact chance (7 strata)156834 d3 M=1312,327 points64RS-20260821T192140Z-189fe392 metrics.ladderWorkPerMoveD3N7.M1 / metrics.ladderD3N7.M1
exact chance (7 strata)1045719 d3 M=3337,306 points64RS-20260821T192140Z-189fe392 metrics.ladderWorkPerMoveD3N7.M3 / metrics.ladderD3N7.M3
exact chance (7 strata)4244020 d3 M=6376,442 points64RS-20260821T192140Z-189fe392 metrics.ladderWorkPerMoveD3N7.M6 / metrics.ladderD3N7.M6
exact chance (7 strata)4956614 d4 M=1 (fair D4 reference)398,498 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
exact chance (7 strata)13506434 d3 M=12 (full joint coverage)349,345 points64RS-20260821T192140Z-189fe392 metrics.ladderWorkPerMoveD3N7.M12 / metrics.ladderD3N7.M12
exact chance (7 strata)20178327 d4 M=2356,548 points64RS-20260821T192140Z-189fe392 metrics.d4N7M2WorkPerMove / metrics.d4N7M2MeanScore
approximate chance (5 strata)54429 d3 M=1305,051 points64docs/exploratory/finding-05-chance-strata.md Cost table, depth 3 / 5 strata row
approximate chance (5 strata)1296034 d4 M=1 (frozen reference)297,327 points64docs/exploratory/finding-05-chance-strata.md Cost table, depth 4 / 5 strata row
approximate chance (5 strata)30183227 d5 M=1288,704 points64docs/exploratory/finding-15-depth5-exact-estimator.md 8.3 cohort means table
exact chance, d5 M=1 (n=32, stopped, final)176536117 d5s7: 32 of 64 planned games, stopped by decision, final411,874 points32RS-20260821T205102Z-d89df4b5 metrics.d5s7WorkPerMove / metrics.d5s7MeanScore

Spec: web/content/figures/score-vs-work-frontier.json · 4 source records

Paired contrasts against their detection floors — every significant result is above its floor, every null below it Paired contrasts against their detection floors — every significant result is above its floor, every null below it. All six contrasts from RS-20260821T205102Z-d89df4b5, cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring; the n=32 contrasts cover the cohort's first 32 seeds (d5s7 arm stopped by decision, final). Whiskers are one-sided 95% percentile-bootstrap lower bounds (20,000 resamples, Mulberry32 domain 0xb0075eed); upper bounds are NOT recorded for these contrasts in the record and are omitted, not zero. Detection floor = 1.645 x sd / sqrt(n), the smallest true effect whose one-sided 95% bound would clear zero (metrics.detectionFloorDefinition). The d4s7-d3s7 lower bound is carried as +26,468 from metrics.bootstrapVersusNormalApproximation; status.md and the 2026-08-21 log print +26,605, which is prose drift — the record and finding-05's interaction table both say +26,468. Evidence tier: public-development. Sources: RS-20260821T205102Z-d89df4b5. Paired contrasts against their detection floors — every significantresult is above its floor, every null below it-100,000-50,000050,000100,000150,000d4s7-d4s5(n=64)d4s7-d3s7(n=64)d5s7-d5s5(n=32)d5s7-d3s7(n=32)d5s5-d4s5(n=64)d5s7-d4s7(n=32)points (points)paired contrast (same seeds, whole games)paired mean delta (whisker: 95% lower bound) — d4s7-d4s5 (n=64) | strata at depth 4; W-T-L 41-0-23; 3.82x work; floor 55,192: | above | points: +101,171 points | 95% lower bound: 47,447 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.pairedD4s7MinusD4s5paired mean delta (whisker: 95% lower bound) — d4s7-d4s5 (n=64)strata at depth 4; W-T-L 41-0-23; 3.82x work; floor 55,192:abovepoints: +101,171 points95% lower bound: 47,447 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.pairedD4s7MinusD4s5paired mean delta (whisker: 95% lower bound) — d4s7-d3s7 (n=64) | depth 4 minus 3 at 7 strata; W-T-L 40-0-24; floor 61,457: above | points: +86,172 points | 95% lower bound: 26,468 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · metrics.powerTable[1]; | metrics.bootstrapVersusNormalApproximationpaired mean delta (whisker: 95% lower bound) — d4s7-d3s7 (n=64)depth 4 minus 3 at 7 strata; W-T-L 40-0-24; floor 61,457: abovepoints: +86,172 points95% lower bound: 26,468 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 · metrics.powerTable[1];metrics.bootstrapVersusNormalApproximationpaired mean delta (whisker: 95% lower bound) — d5s7-d5s5 (n=32) | strata at depth 5; W-T-L 19-0-13; 5.85x work; floor 95,207: | above | points: +123,613 points | 95% lower bound: 32,575 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.pairedD5s7MinusD5s5paired mean delta (whisker: 95% lower bound) — d5s7-d5s5 (n=32)strata at depth 5; W-T-L 19-0-13; 5.85x work; floor 95,207:abovepoints: +123,613 points95% lower bound: 32,575 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.pairedD5s7MinusD5s5paired mean delta (whisker: 95% lower bound) — d5s7-d3s7 (n=32) | two plies at 7 strata; W-T-L 20-0-12; floor 97,211: below | points: +86,397 points | 95% lower bound: -6,303 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.pairedD5s7MinusD3s7paired mean delta (whisker: 95% lower bound) — d5s7-d3s7 (n=32)two plies at 7 strata; W-T-L 20-0-12; floor 97,211: belowpoints: +86,397 points95% lower bound: -6,303 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.pairedD5s7MinusD3s7paired mean delta (whisker: 95% lower bound) — d5s5-d4s5 (n=64) | depth at 5 strata; W-T-L 33-0-31; 23.29x work; floor 47,052: | below | points: -8,624 points | 95% lower bound: -55,134 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.pairedD5s5MinusD4s5paired mean delta (whisker: 95% lower bound) — d5s5-d4s5 (n=64)depth at 5 strata; W-T-L 33-0-31; 23.29x work; floor 47,052:belowpoints: -8,624 points95% lower bound: -55,134 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.pairedD5s5MinusD4s5paired mean delta (whisker: 95% lower bound) — d5s7-d4s7 (n=32) | depth at 7 strata; W-T-L 17-0-15; 35.62x work; floor 107,988: | below (22% of floor) | points: +23,367 points | 95% lower bound: -83,046 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.pairedD5s7MinusD4s7paired mean delta (whisker: 95% lower bound) — d5s7-d4s7 (n=32)depth at 7 strata; W-T-L 17-0-15; 35.62x work; floor 107,988:below (22% of floor)points: +23,367 points95% lower bound: -83,046 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.pairedD5s7MinusD4s7detection floor 1.645*sd/sqrt(n) — d4s7-d4s5 (n=64) | floor for d4s7-d4s5 | points: +55,192 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[0].detectionFloordetection floor 1.645*sd/sqrt(n) — d4s7-d4s5 (n=64)floor for d4s7-d4s5points: +55,192 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[0].detectionFloordetection floor 1.645*sd/sqrt(n) — d4s7-d3s7 (n=64) | floor for d4s7-d3s7 | points: +61,457 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[1].detectionFloordetection floor 1.645*sd/sqrt(n) — d4s7-d3s7 (n=64)floor for d4s7-d3s7points: +61,457 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[1].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d5s5 (n=32) | floor for d5s7-d5s5 | points: +95,207 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[2].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d5s5 (n=32)floor for d5s7-d5s5points: +95,207 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[2].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d3s7 (n=32) | floor for d5s7-d3s7 | points: +97,211 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[3].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d3s7 (n=32)floor for d5s7-d3s7points: +97,211 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[3].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s5-d4s5 (n=64) | floor for d5s5-d4s5 | points: +47,052 points | n = 64 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[4].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s5-d4s5 (n=64)floor for d5s5-d4s5points: +47,052 pointsn = 64 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[4].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d4s7 (n=32) | floor for d5s7-d4s7 | points: +107,988 points | n = 32 games | source: RS-20260821T205102Z-d89df4b5 · | metrics.powerTable[5].detectionFloordetection floor 1.645*sd/sqrt(n) — d5s7-d4s7 (n=32)floor for d5s7-d4s7points: +107,988 pointsn = 32 gamessource: RS-20260821T205102Z-d89df4b5 ·metrics.powerTable[5].detectionFloorpaired mean delta (whisker: 95% lower bound)detection floor 1.645*sd/sqrt(n)
The six paired contrasts against their detection floors. The nulls are non-measurements, not zeros.
Source data

All six contrasts from RS-20260821T205102Z-d89df4b5, cohort 0xa51d1000-0xa51d103f, corrected 17,000-point Hardcore scoring; the n=32 contrasts cover the cohort's first 32 seeds (d5s7 arm stopped by decision, final). Whiskers are one-sided 95% percentile-bootstrap lower bounds (20,000 resamples, Mulberry32 domain 0xb0075eed); upper bounds are NOT recorded for these contrasts in the record and are omitted, not zero. Detection floor = 1.645 x sd / sqrt(n), the smallest true effect whose one-sided 95% bound would clear zero (metrics.detectionFloorDefinition). The d4s7-d3s7 lower bound is carried as +26,468 from metrics.bootstrapVersusNormalApproximation; status.md and the 2026-08-21 log print +26,605, which is prose drift — the record and finding-05's interaction table both say +26,468. Evidence tier: public-development.

Seriespaired contrast (same seeds, whole games)pointsBoundsnSource
paired mean delta (whisker: 95% lower bound)d4s7-d4s5 (n=64) strata at depth 4; W-T-L 41-0-23; 3.82x work; floor 55,192: above101,171 pointslower 47,44764RS-20260821T205102Z-d89df4b5 metrics.pairedD4s7MinusD4s5
paired mean delta (whisker: 95% lower bound)d4s7-d3s7 (n=64) depth 4 minus 3 at 7 strata; W-T-L 40-0-24; floor 61,457: above86,172 pointslower 26,46864RS-20260821T205102Z-d89df4b5 metrics.powerTable[1]; metrics.bootstrapVersusNormalApproximation
paired mean delta (whisker: 95% lower bound)d5s7-d5s5 (n=32) strata at depth 5; W-T-L 19-0-13; 5.85x work; floor 95,207: above123,613 pointslower 32,57532RS-20260821T205102Z-d89df4b5 metrics.pairedD5s7MinusD5s5
paired mean delta (whisker: 95% lower bound)d5s7-d3s7 (n=32) two plies at 7 strata; W-T-L 20-0-12; floor 97,211: below86,397 pointslower -6,30332RS-20260821T205102Z-d89df4b5 metrics.pairedD5s7MinusD3s7
paired mean delta (whisker: 95% lower bound)d5s5-d4s5 (n=64) depth at 5 strata; W-T-L 33-0-31; 23.29x work; floor 47,052: below-8,624 pointslower -55,13464RS-20260821T205102Z-d89df4b5 metrics.pairedD5s5MinusD4s5
paired mean delta (whisker: 95% lower bound)d5s7-d4s7 (n=32) depth at 7 strata; W-T-L 17-0-15; 35.62x work; floor 107,988: below (22% of floor)23,367 pointslower -83,04632RS-20260821T205102Z-d89df4b5 metrics.pairedD5s7MinusD4s7
detection floor 1.645*sd/sqrt(n)d4s7-d4s5 (n=64) floor for d4s7-d4s555,192 points64RS-20260821T205102Z-d89df4b5 metrics.powerTable[0].detectionFloor
detection floor 1.645*sd/sqrt(n)d4s7-d3s7 (n=64) floor for d4s7-d3s761,457 points64RS-20260821T205102Z-d89df4b5 metrics.powerTable[1].detectionFloor
detection floor 1.645*sd/sqrt(n)d5s7-d5s5 (n=32) floor for d5s7-d5s595,207 points32RS-20260821T205102Z-d89df4b5 metrics.powerTable[2].detectionFloor
detection floor 1.645*sd/sqrt(n)d5s7-d3s7 (n=32) floor for d5s7-d3s797,211 points32RS-20260821T205102Z-d89df4b5 metrics.powerTable[3].detectionFloor
detection floor 1.645*sd/sqrt(n)d5s5-d4s5 (n=64) floor for d5s5-d4s547,052 points64RS-20260821T205102Z-d89df4b5 metrics.powerTable[4].detectionFloor
detection floor 1.645*sd/sqrt(n)d5s7-d4s7 (n=32) floor for d5s7-d4s7107,988 points32RS-20260821T205102Z-d89df4b5 metrics.powerTable[5].detectionFloor

Spec: web/content/figures/detection-floor-map.json · 1 source record

Consequences for the rest of this roadmap. Priority 2's acceleration goal is met and no longer unlocks strength — it unlocks data rate, which is still valuable. Any future search change must be argued on a mechanism other than "more plies" or "more samples", because both axes are measured and flat. The remaining untested factors from the original list are the learned leaf inside the search (tried, negative) and transposition-table size (untested, and now low priority given that the table is 1.01x of a decision).

Deeper search is not merely "not monotonically stronger" — past ply four its effect is below what this program can measure. State it that way and not more strongly.

The binding methodological constraint, discovered here. Paired whole-game deltas have a standard deviation of 228,827 to 371,351 depending on the contrast, so a 64-game paired cohort has a one-sided 95% detection floor of roughly 47,000 to 108,000 points. Every significant result in this factorial is above its floor; every null result is below it and is therefore a non-measurement. Giving the observed depth-5 estimate a bound would take about 684 paired games — about 13 wall-days at that arm's measured throughput of 1,647 s per game on 14 threads (estimated range 8-18 days, since the two chunks differed 2.3x under other agents' load), and finishing the planned 64 would not have come close.

This changes how to choose experiments. Preregister the effect size the mechanism predicts and compare it to the floor before committing the machine. An experiment whose plausible effect is 20,000 points is not a cheap experiment; it is an unaffordable one. The alternatives are to pursue mechanisms with large predicted effects, or to build a lower-variance estimator than the complete game.

What a flat top implies for priority. When both estimate-quality axes are exhausted, the binding constraint has moved from the estimate to the objective being estimated. The two named candidates are in finding-15 §5: the terminal utility supplies no death-depth shaping, and the leaf is an uncalibrated potential. Those are one constant and one function. A terminal-utility sweep at depth 5 with seven strata separates them, and is the recommended next consumer of serious machine time — not another point on the depth or chance-resolution axis.

9. Iterate with every sibling, not only the played action

If the neural-guided policy passes:

  1. play on new training-only origins;
  2. evaluate every legal sibling at encountered roots;
  3. add mature public restart states with independent future randomness;
  4. freeze a new data manifest;
  5. retrain for a preregistered number of rounds; and
  6. keep origin-level validation folds unchanged across rounds.

This is action-complete dataset aggregation. It is intended to prevent the distribution shift that hurt behavior cloning and played-state value learning.

10. Qualification sequence

Use benchmarks.md: CHECK, bounded PILOT, paired SCREEN, reusable STANDARD, and fresh 256-game QUALIFY. Only a qualifying candidate is frozen with current transitive source, binary, model, corpus, compiler, command, and work hashes.

Then open the next permitted protected block and the one-shot final cohort only as the versioned protocol allows. Report the complete distribution and failures, not only the mean. The same unchanged policy must pass every gate.

Parallel tracks that do not consume strategy data

While the main candidate is training or running, agents can independently:

  • audit data closure and manifests;
  • add seed-free policy-boundary and reflection tests;
  • improve result schemas, checksums, and resumption verification;
  • profile compiler flags and simulator hot paths on synthetic fixtures;
  • reproduce external algorithmic ideas in toy/no-seed domains; and
  • review experiment arithmetic and claim scope.

These tracks increase confidence without competing for the same cohort. Their owners still write separate contribution records.

Decision rule

Prefer the next experiment that most reduces uncertainty about long-horizon sibling ranking per expected CPU/GPU hour. A larger model, deeper search, wider tree, or bigger table is justified only after its cheaper predecessor shows the specific signal it is meant to scale.

For a walkthrough with board animations, start at how the game works and the concepts primer; every term is defined in the glossary.