FA-98916 / Gradient accumulation weighting / Open access

Accumulation flushes when the threshold is reached rather than exceeded · case 01

Accumulation flushes when the threshold is reached rather than exceeded.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The broken trigger waits until count strictly exceeds the threshold.

THE FAILURE

The broken trigger waits until count strictly exceeds the threshold.

Unsuccessful approach: Rejecting equality delays a full window; nonpositive thresholds are not valid flush triggers.

Case contract

Flush is due once a positive configured example threshold has been reached, including exact equality.

Why this case matters

A deterministic toy model isolates one local accumulation contract.

1 / The failure

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(count, threshold):
    return count > threshold
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('exact boundary',solve(N,N),True)
check('below boundary',solve(N-1,N),False)
check('above boundary',solve(N+1,N),True)
check('threshold one',solve(1,1),True)
check('zero threshold',solve(0,0),False)
check('empty count',solve(0,N),False)
check('larger count',solve(3*N,2*N),True)
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
exact boundary	`False`	`True`	Failed
below boundary	`False`	`False`	Passed
above boundary	`True`	`True`	Passed
threshold one	`False`	`True`	Failed
zero threshold	`False`	`False`	Passed
empty count	`False`	`False`	Passed
larger count	`True`	`True`	Passed

SHA-256 / 1fe5abfe5257ce200fe03b88744a0a2012d875190885c1425ffc6f277d085292

2 / The unsuccessful fix

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(count, threshold):
    return count >= threshold
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('exact boundary',solve(N,N),True)
check('below boundary',solve(N-1,N),False)
check('above boundary',solve(N+1,N),True)
check('threshold one',solve(1,1),True)
check('zero threshold',solve(0,0),False)
check('empty count',solve(0,N),False)
check('larger count',solve(3*N,2*N),True)
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
exact boundary	`True`	`True`	Passed
below boundary	`False`	`False`	Passed
above boundary	`True`	`True`	Passed
threshold one	`True`	`True`	Passed
zero threshold	`True`	`False`	Failed
empty count	`False`	`False`	Passed
larger count	`True`	`True`	Passed

SHA-256 / 574b37cced0f6bfd10792e2075d1b862f615b5bc5e3652bd92f87068af88b5ac

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 7 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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Verification & scope

Inputs are scalar or short-list summaries and do not model autodiff, devices, or an optimizer. 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 2026-09-30T16:48:18.065151+00:00.

Case digest / 4743bf64139b3cced76d1b8e40a0875432cdce69bfa84f535197fbdbeb49cd85