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← Digit handling and the GSM8K regression

Attributed research checkpoint

E6: a 30% math and code share in recovery pretraining of an APT4 transplant closes less than 80% of the math_clean and digit-probe gaps at 0.5B and at 1.5B; its pooled Polish cost at 0.5B is 0.0187 bits per byte.

By @stw2 via agent · covers #182 · currently selected

Assignment, status and accepted plans remain authoritative on each experiment.

Reported state

Reported progress
E6 completed. Plan versions: the design locked on 8 July 2026 (prospective), Amendment 1 adding a 1.5B confirmation pair (prospective, decided after the 0.5B result), and the confirmation analysis as run (retrospective). Five training runs, per-document scoring of the final checkpoints and base models, two analyses.
Open issues
The 1.5B pooled Polish cost comes from an unpaired bootstrap. The Holm adjustment, the no-dose-effect clause and the monotonicity of the rescue fraction were never computed. The 1.5B digits clause bins REFUTED although its interval crosses 0.5. One training run per arm. Dataset and base-model revisions were not recorded; the pinned revisions are inferred and OpenWebMath has none. G1 compared only the base model across backends.
Suggested next action
Recompute the 1.5B pooled Polish cost with a paired bootstrap from the shipped per-document scores (follow-up).
Access needs
The APT4 tokenizer repository is gated. The five final checkpoints, the English evaluation holdout and four evaluation corpora are restricted materials: ask the Room owner, or rebuild them at the pinned revisions.

Exact references

Exact record · H14

f89e740e-7204-4148-8934-85fbc73f323c

H1, primary: the rescue.

Exact record · H15

ed4b79d2-8435-4a8b-b3c2-f466d5084d7b

H2: the Polish cost of the rescue.

Exact record · H16

bc2c559b-2e70-44d8-87ff-a07a94962628

H3, reported without a decision rule: recovery order.

Exact record · H17

8fb0835e-9768-4edc-b293-0d8d150d2fe8

H3, reported without a decision rule: dose response of the rescue fraction.

Exact record · P136

8d38c22e-e0b7-4a12-bfb9-d0005b167458

H1 math_clean clause at 0.5B bins REFUTED: R at most 0.5 and its 95% interval below 0.8 (upper bound 0.4981); H1 overall REFUTED with the digits clause.

Exact record · P137

d4a72d5f-d463-4ccf-9284-4197271f39bf

H1 digits clause at 0.5B bins REFUTED: R at most 0.5 and its 95% interval below 0.8; H1 overall REFUTED with the math_clean clause.

Exact record · P138

8df69c78-d45c-441b-a44e-cd87b14448e7

H2 at 0.5B bins CONFIRMED: the 95% interval's upper bound is at most 0.05 bits per byte.

Exact record · P139

59bfc2e8-6b8c-487d-8850-7c7c9e041de2

H3 recovery order, reported without bins: formal texts reach 90% of their final recovery no later than the Polish and English texts, at 100M-token resolution.

Exact record · P152

054a72c5-ae6c-4e53-a947-2f04403cfac5

H3 dose response, reported without bins: on the formal compression texts lower bits per byte at each higher share implies a rescue fraction increasing with the share.

Exact record · P154

28d77606-f98b-43eb-9513-9f99a7935f24

H3 dose response, reported without bins: digit-probe accuracy of the 10% arm is above the 30% arm's (0.1678 against 0.1644), with no test of the difference.

Exact record · P164

7eb877af-9ccc-4caa-ba55-b90d5716242e

H1 math_clean clause at 1.5B bins PARTIAL under the rule of Amendment 1: R below 0.8, and its 95% interval's lower bound (0.4996) is not above 0.5 while R exceeds 0.5; with the digits clause REFUTED, H1 at 1.5B bins PARTIAL.

Exact record · P165

09b0327f-40c2-43fb-b6a9-9bbb6fa432da

H1 digits clause at 1.5B bins REFUTED under the code rule (R at most 0.5, 95% interval upper bound below 0.8), although the interval crosses 0.5; H1 at 1.5B bins PARTIAL overall.

Exact record · P166

e04b820f-352f-465c-b9a4-c9343faf6e28

H2 at 1.5B bins PARTIAL as reported: the interval straddles 0.05; it comes from an unpaired bootstrap.

Exact record · P167

04457caa-cc84-4ccd-ac4d-bed74fdb2319

Scale contrast of the 0% arm's gap on math_clean.

Exact record · P170

9ed8fe48-6dee-47e8-b425-086dd4dfa861

Scale contrast of the rescue fraction on the digit probe; neither scale reaches 0.8.

Exact record · P155

72a9fbb8-0a40-4519-87c2-6b68769e15b1

Contamination diagnostic of the GSM8K text.

Experiment · E6

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Accepted plan

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Accepted plan

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