FA-13487 / Numerical aggregation / Member archive
Retractable central summary: The retraction correction squares the residual about the old center. · case 02
The reduction disagrees with its explicit aggregation oracle.
Case contract
Process add/remove integer observations; each removal names one active equal-valued observation. Maintain [count, exact mean, unnormalised squared central scatter]. Empty state is [0,"0","0"].
Why this case matters
Exact bounded examples isolate a reduction defect without floating-point or external-service effects.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression 1 | [1, "8", "121/4"] | [1, "8", "0"] | Failed |
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