repin analytics for the stager pass

[abdulsaheel]

User description

analytics#49 merged, so edge was still pinned a commit behind and not getting the stager work.

kAlgoVersion holds at 76. the stager does the same arithmetic in fewer passes — one beat-gather instead of three hand-copies, the local HR window sorted once instead of twice, and a binary search instead of rescanning the night per epoch. ~950ms → ~805ms on a full real night.

the one place that could have silently changed a number was sorting the HR window before stddev, since that re-orders a float summation and feeds the wake threshold. computed before the sort now, and the real overnight capture stages identically: epochs=1068 wake=52 rem=300 nrem=716 deep=137 light=579 conf=0.5501404494382023.

goldens fail in CI as always (test/goldens/ gitignored); everything else green.

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PR Type

Enhancement, Other

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Description

• Repins the analytics sibling package in pubspec.yaml to a new commit SHA (d9362a66...).

• Improves sleep stager performance with faster derivation times.

• Explicit callout: kAlgoVersion was NOT bumped (remains at 76) because the analytics output and data effects remain identical.

• Note: No new tests were added under test/ (expected, as user-visible behavior and output are unchanged).

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Diagram Walkthrough

flowchart LR
  A["pubspec.yaml"] -- "updates analytics ref" --> B["New Commit SHA"]
  C["derivation_engine.dart"] -- "updates kAnalyticsPin" --> B

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File Walkthrough

	Relevant files
Configuration changes	derivation_engine.dart Update analytics pin constant and documentation                    lib/compute/derivation_engine.dart Updates the kAnalyticsPin constant to match the new analytics commit SHA. Adds documentation explaining that kAlgoVersion is intentionally held at 76 because the stager arithmetic changes do not alter the final output. +8/-1
Dependencies	pubspec.yaml Repin analytics dependency                                                              pubspec.yaml Updates the analytics dependency ref to d9362a66fbeac326d5d7d7b1fe27b28e41169a79. +1/-1

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