2 Commits

Author SHA1 Message Date
Marcin Pawlowski
15e876e90a
Correctness pass: derive rho in code, and the absolute vs-1.0 test
Two findings from re-reviewing the fine-delay section.

1. The rho values I put in s3.2a were wrong. The report derives
   rho = f*D_vis with D_vis = hops*delta_max/2 + (hops+1)*ell_mean from
   a MEASURED ell_mean (1.211 slots at N=1000/degree=6), not from the
   link_latency_mean parameter (0.5). Hand-substituting a guessed 1.5
   inflated every value by ~0.04: the band is rho 0.21-0.41, not
   0.25-0.45.

   To stop that recurring, graph_ell_mean moves out of
   rho_boundary_analysis.py into figures_pernode.py, joined by a new
   rho_for() that both scripts and any future quotation go through;
   plot_fine_delay.py now prints the derived rho per delay.

   This also exposed an inconsistency in the existing s3.2 table, which
   rounded delta_max=4 to "rho ~ 0.4" while s3.2a called the same cell
   0.36 and prose elsewhere already used 0.56 for delta_max=8. The s3.2
   column now carries the derived values (0.36/0.56/0.96/1.76).

2. Testing each cell against the exact target 1.0 -- the same question
   the gap test asks, without reference to the other model --
   corroborates the first-fork onset independently. Unrestricted: 1/15
   cells below 1 (t=-2.09, chance). Countable: 4/15, and not scattered
   -- delta_max=4 at U=1, and ALL THREE caps at delta_max=5 (-0.0012 to
   -0.0019, t=-2.5..-3.7). A shortfall appearing at every cap at once,
   only at the top of the band, only under the restricted model, is the
   first-fork cost seen absolutely.

   That makes "one uncle slot is sufficient -- not approximately,
   exactly" too strong as I had written it. s3.2a now states the
   residual (0.1-0.2% at the top of the band, zero below delta_max=3),
   reconciles it with the s1 headline, and notes that since all three
   caps show the same shortfall the residual is not a capacity limit.
   The bound quoted in s1 moves from "below 0.15%" to "<= 0.2%".

Also adds the new run directories to s9's canonical list, which covered
every other study but not these.

Tests: 209 passed. ruff clean.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-05 10:34:33 +02:00
Marcin Pawlowski
ac6a309e58
Review fixes + high-precision design-band delay study
Acts on a correctness/completeness review of the countable uncle model
and its report material.

Correctness fixes in the report:
- s3.4 quoted 0.998 for W_abs=10 at the 8s budget; the run says 0.9963.
- s1 claimed both models >= 0.996 at U >= 1; countable U=2 delta=8 is
  0.9955. Corrected to >= 0.995.
- The s3.2 table presented two cells (U=1 at delta 16 and 32) as model
  differences. They are not resolvable: t = 0.46 and 0.47 over 5
  replicates. The table now carries +-SEM and a t per cell.
- s3.4 claimed the ~7-block-interval floor "carries over unchanged".
  Accuracy is still climbing past W=7 at every delay (8s: 0.989 ->
  0.996), so the claim is dropped. The 32s curve is non-monotonic with
  replicate SD up to 0.22 and is now flagged as noise, not a trend.
- 1-r was attributed to the first-fork restriction alone; it is the
  combined first-fork and capacity loss, which this measurement cannot
  separate. Hedged to match fig32's own axis label.

Completeness: the U=0 negative control was swept but never reported.
With no uncles the two models are identical by construction, yet they
differ by -0.23 at delta_max=32 (t=2.1) because they draw independent
RNG streams. That is the noise floor the rest of the grid must clear,
and it is now in s3.2, s9, fig30 and the config header.

New study (configs/fine-delay.yaml, scripts/plot_fine_delay.py, s3.2a,
fig34/fig35): the design band delta_max 1-5 at 40 replicates, both
models. Findings: every U >= 1 cell of both models lands in
0.998-1.001, flat in delay, while U=0 decays 0.810 -> 0.640. No
individual cell resolves a model difference (widest 95% CI +-0.15pp;
max t=2.59 vs Bonferroni 2.94 over 15 cells). Pooled across uncle caps
the first-fork cost is monotone in delay and separates from zero only
at delta_max=5 (-0.0014 +- 0.0007, t=3.7) -- below 0.15% everywhere in
the band, against +-0.9% per-epoch sampling noise.

Code:
- deep_ref_share is identically 0 on every real countable run: for a
  chain block B the producer's chain below B is the counting chain
  below B, so the counting-side parent-on-chain re-check cannot reject
  what selection emitted. It is a drift alarm, not a rate. Documented
  as such in measure.py, the plot docstring and the config header, and
  pinned by a new end-to-end test.
- Removed annotate_uncles: a second countable implementation that
  production never called, while carrying most of the selection test
  coverage. Tests now drive select_uncles_at_production through an
  annotate_via_production replay helper -- same assertions, live path.
- Added tests for the two previously uncovered branches of the live
  selection: the pmin/below chain walk that resolves parent-on-chain
  for candidates whose parent sits below the window, and the
  occupied-slot exclusion built from the chain walk.
- theory.q_effective and theory.window_miss_prob were unused and
  untested. Now used (the prediction figure reconstructs q_u through
  the identity the report quotes) and tested. The window_miss_prob test
  records that its "~ e^-W" docstring is the f->0 limit: the true decay
  is e^-1.017W at f=1/30, 16% off by W=10.
- Shared sem()/recovery_rate() moved into figures_pernode.py; fig30 and
  fig33 regenerated with SEM error bars and the U=0 control curve.
- Fixed the pre-existing E501 in bootstrap_dynamics.py; ruff clean.

Report prose reworked to read standalone: the countable model is
described as the rules under analysis and the former model as a
labelled "unrestricted" comparison baseline, with no dated banners and
no round-to-round narration.

Tests: 209 passed (was 202).

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-04 20:48:38 +02:00