FA-98476 / Beam search bookkeeping / Open access
Beam search: beam pruning ranks raw totals instead of normalized totals · case 01
beam pruning ranks raw totals instead of normalized totals.
ROOT CAUSE
Hypotheses of different lengths are compared before applying the declared penalty.
THE FAILURE
Hypotheses of different lengths are compared before applying the declared penalty.
Unsuccessful approach: Normalizing only the already selected raw-score winners cannot recover a pruned path.
Case contract
Rows [id,total,length]; rank by total divided by positive length, descending, with lexical ID ties.
Why this case matters
Beam decoders rely on consistent hypothesis state while expanding and ranking candidates.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rows, width):
return sorted(rows,key=lambda r:(-r[1],r[0]))[:width]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
rows=[['short',2*N,1],['long',3*N,3]]
check('normalization changes winner',solve(rows,1),[['short',2*N,1]])
check('long wins with stronger total',solve([['s',N,1],['l',4*N,2]],1),[['l',4*N,2]])
check('tie by ID',solve([['z',N,1],['a',N,1]],1),[['a',N,1]])
check('empty rows',solve([],N),[])
check('width zero',solve(rows,0),[])
check('all fit',solve(rows,4),[['short',2*N,1],['long',3*N,3]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| normalization changes winner | [['long', 3, 3]] | [['short', 2, 1]] | Failed |
| long wins with stronger total | [['l', 4, 2]] | [['l', 4, 2]] | Passed |
| tie by ID | [['a', 1, 1]] | [['a', 1, 1]] | Passed |
| empty rows | [] | [] | Passed |
| width zero | [] | [] | Passed |
| all fit | [['long', 3, 3], ['short', 2, 1]] | [['short', 2, 1], ['long', 3, 3]] | Failed |
SHA-256 / 9a98d0b13a6f1df41ccb0a4e616dc865b054940cec42ed32b511eff4926b00af
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rows, width):
return sorted(sorted(rows,key=lambda r:(-r[1],r[0]))[:width],key=lambda r:(-r[1]/r[2],r[0]))
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
rows=[['short',2*N,1],['long',3*N,3]]
check('normalization changes winner',solve(rows,1),[['short',2*N,1]])
check('long wins with stronger total',solve([['s',N,1],['l',4*N,2]],1),[['l',4*N,2]])
check('tie by ID',solve([['z',N,1],['a',N,1]],1),[['a',N,1]])
check('empty rows',solve([],N),[])
check('width zero',solve(rows,0),[])
check('all fit',solve(rows,4),[['short',2*N,1],['long',3*N,3]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| normalization changes winner | [['long', 3, 3]] | [['short', 2, 1]] | Failed |
| long wins with stronger total | [['l', 4, 2]] | [['l', 4, 2]] | Passed |
| tie by ID | [['a', 1, 1]] | [['a', 1, 1]] | Passed |
| empty rows | [] | [] | Passed |
| width zero | [] | [] | Passed |
| all fit | [['short', 2, 1], ['long', 3, 3]] | [['short', 2, 1], ['long', 3, 3]] | Passed |
SHA-256 / 70a137f46995069683b2243a0be99ad737adc6c7b1ade461b918cc463e79b683
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 6 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗Verification & scope
This is a finite toy beam-state contract and makes no claim about neural model quality or production decoding. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-30T16:48:13.239171+00:00.
Case digest / 22c126035cec2208044f8dc373e735f2053538f5f7b224f6b35a34f3f3f354f2