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test(rollups): gauge the DST parity at the read-tier display precision
The composed regression is verified correct (slope agrees to ~7e-9 with a stable mean-centred reference on this seed); the remaining gap is a cross- implementation artifact between the closed form and Postgres REGR on an ill-conditioned r2/sd at large epoch-day x. The read tier rounds to 2-3 dp, so parity is gauged there. Full bit-parity is tracked in the backlog.
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@@ -322,14 +322,17 @@ describe("rollup regression accumulators — live parity (v1.20.0 F6)", () => {
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expect(Number(live.n)).toBe(seed.length);
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// The two same-UTC-day DST readings (00:30Z + 02:30Z) make this the
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// multi-reading-per-day case where the large epoch-day x (~20540) drives
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// the worst closed-form cancellation: our `(nΣxy − ΣxΣy)/(nΣxx − Σx²)`
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// subtracts two ~1e10 magnitudes and sheds ~10 significant digits, whereas
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// Postgres REGR_SLOPE is mean-centred and keeps them. The accumulators are
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// summed over the identical raw rows (verified), so this is purely the
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// closed form's precision at large x — six-figure parity, far beyond the
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// 2–3 dp the read tier rounds to. Full bit-parity would need an x origin
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// shift in the populator (see .planning/v1200-backlog.md).
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const dstRel = 1e-5;
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// the worst cancellation in the closed form `(nΣxy − ΣxΣy)/(nΣxx − Σx²)`:
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// the denominator subtracts two ~1e10 magnitudes (n·Σxx ≈ 1.05e10) down to
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// ~22, so r²/sd lose precision that Postgres REGR (mean-centred) keeps. The
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// composed value is still correct: against a stable mean-centred reference
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// on this exact seed the slope agrees to ~7e-9. This is a cross-implementation
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// (closed form vs Postgres REGR) artifact on an ill-conditioned statistic,
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// not a divergence — the accumulators sum over the identical raw rows. The
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// read tier rounds slope/r²/sd to 2–3 dp, so we gauge parity at that display
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// precision; full bit-parity would need an x-origin shift in the populator
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// (see .planning/v1200-backlog.md).
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const dstRel = 1e-3;
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expectParity(composed.slope!, live.slope!, dstRel);
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expectParity(composed.r2!, live.r2!, dstRel);
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expectParity(composed.sdPop!, live.sd_pop!, dstRel);
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