ADR-0175 Phase 3b — the first live attempt generator. Runs only in the sealed
practice lane, only on cases the engine refused; every proposal is gated by the
Phase 3a self-verification gate.
generate/derivation/:
- extract.py: extract_quantities() — lexeme-level (number + unit word; ADR-0165).
- search.py: search_multiplicative() — one in-clause product candidate per
sentence with >=2 quantities + a present multiplicative cue; gated by
select_self_verified. Per-sentence scope + multi-candidate disagreement give
the uniqueness gate real teeth (two qualifying sentences -> refuse). The cue
set {each,every,for,per,times} is an explicit PROVISIONAL hypothesis the
practice loop refines, not a claimed-correct grammar.
evals/gsm8k_math/practice/v1/search_runner.py: search_augmented_scorer +
build_search_report — base scorer, then a practice-only attempt on refusals.
MEASUREMENT (the deliverable, per the breadth-of-impact test):
practice with search: correct=4 wrong=9 refused=37 (baseline 3/0/47)
- Flips +1 (0021, the clean in-clause aggregate) and its renumbered/reworded
variants (ADR-0114a perturbation guard) -> a real capability, not memorisation.
- 9 wrong attempts -> elimination records (§9), the learning signal. The naive
full-product cue model over-attempts; the eliminations are exactly the signal
that refines it.
HONEST FINDING: self-verification (grounding ∧ cue ∧ unit ∧ uniqueness) is
NECESSARY but NOT SUFFICIENT — 9/13 self-verified attempts were wrong vs gold.
The gap is cue PRECISION / which-quantities-compose (the knowledge axis), not
'can we multiply' (skill). This is why the search runs sealed: gold catches the
9, and case 0050 (canary) attempted-and-failed IN PRACTICE without touching
serving -> validates the seal.
Invariants: #1 seal (serving still 3/47/0; 0050 refuses in serving; no
generate/chat import of the lane), #3 determinism. Serving wrong=0 untouched.
Verified: 3a+3b 31/31; ruff clean; serving lane 4/4; smoke 67/67.
75 lines
3.4 KiB
Python
75 lines
3.4 KiB
Python
"""ADR-0175 Phase 3b — bounded, deterministic multiplicative derivation search.
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The first attempt generator. Conservative by design: it proposes a single
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candidate — the **full product of all extracted quantities** — and only when a
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multiplicative-relation cue lexeme is present in the text. The proposal is then
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passed through the Phase 3a self-verification gate (grounding ∧ unit ∧ unique),
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so nothing ungrounded can resolve.
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The cue set is an explicit **provisional hypothesis**: it is the search's first
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guess at which lexemes license multiplication. It is *not* claimed correct — the
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sealed practice lane checks every attempt against gold, and wrong attempts become
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elimination records (§9) that refine the hypothesis over time. That refinement is
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the compounding loop; this module only stands up the first, gated attempt.
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wrong=0 posture: the search runs only in the sealed practice lane (never serving),
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every proposal is gated by self-verification, and a non-unique or ungrounded
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proposal refuses. Bounded by :data:`MAX_QUANTITIES` (refuse rather than enumerate
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an unbounded product).
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"""
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from __future__ import annotations
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import re
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from typing import Final
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from generate.derivation.extract import extract_quantities
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from generate.derivation.model import GroundedDerivation, Step
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from generate.derivation.verify import Resolution, select_self_verified
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from generate.math_roundtrip import _tokens
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# Provisional multiplicative-cue lexemes (the search's first hypothesis; refined
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# by practice elimination, not asserted correct). Sorted use for determinism.
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MULTIPLICATIVE_CUES: Final[tuple[str, ...]] = ("each", "every", "for", "per", "times")
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MAX_QUANTITIES: Final[int] = 6
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_SENTENCE_SPLIT: Final[re.Pattern[str]] = re.compile(r"(?<=[.?!])\s+")
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def _sentence_candidates(problem_text: str) -> list[GroundedDerivation]:
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"""One in-clause product candidate per sentence that has ≥2 quantities and a
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present multiplicative cue.
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Per-sentence (in-clause) scope is deliberate: it targets the multiplicative
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*aggregate* and avoids multiplying quantities that merely co-occur across
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sentences. When two sentences each yield a product, they disagree and the
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uniqueness gate refuses — so the disagreement rule does real safety work
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instead of being trivially satisfied by a single whole-text candidate.
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"""
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candidates: list[GroundedDerivation] = []
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for sentence in _SENTENCE_SPLIT.split(problem_text):
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quantities = extract_quantities(sentence)
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if not 2 <= len(quantities) <= MAX_QUANTITIES:
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continue
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present = [c for c in MULTIPLICATIVE_CUES if c in _tokens(sentence)]
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if not present:
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continue
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cue = present[0] # deterministic (MULTIPLICATIVE_CUES is sorted-by-design)
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start, *rest = quantities
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candidates.append(
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GroundedDerivation(
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start=start,
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steps=tuple(Step(op="multiply", operand=q, cue=cue) for q in rest),
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)
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)
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return candidates
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def search_multiplicative(problem_text: str) -> Resolution | None:
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"""Attempt a grounded in-clause multiplicative product.
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Builds one product candidate per qualifying sentence and runs them through
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the Phase 3a gate: a single self-verifying candidate resolves; zero (no
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grounded product) or several that disagree refuse. Deterministic and bounded.
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"""
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return select_self_verified(_sentence_candidates(problem_text), problem_text)
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