research/reports/blend/data/report_numbers.py
Marcin Pawlowski cad2bf51b2
blend: emission-model fidelity, and evidence tooling that covers every section
Second review pass, three findings.

Pending cancellations were a set, so a node that proposed twice before its next
cover emission forfeited only one and then over-emitted relative to its quota --
the precise uniformity cover traffic exists to preserve. Now a multiset.

The timeline drew the block proposer uniformly while quota.py used a stake-
weighted lottery, so the two halves of the cover-traffic model disagreed. The
timeline now takes the stake array. Concentration is visible in the bookkeeping: a
dominant proposer wins most proposals but rarely draws a cover slot to forfeit, so
cancellations redeemed fall from 107 to 28 -- the unredeemed backlog being exactly
the over-emission the stake ceiling describes.

data/report_numbers.py claimed to print every quoted value but covered only
sections 3.1-3.5 and 3.8. Extended to 3.9 correlated churn, 3.10 blending, mixing
and the quota ceiling, 3.11 the release designs, and the 3.4 attribution bracket;
the claim in data/README is corrected to say what it actually does.

Neither model fix moves a published number: the proposer identity does not enter
blending, mixing or timing, and repeat proposals are rare at the reported rates.
Two regression tests pin both.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
2026-08-06 18:00:02 +02:00

186 lines
9.6 KiB
Python

"""Regenerate every number the report quotes, with its across-topology standard error.
Run from this directory: python report_numbers.py
Each printed value is mean +- SEM over the independent topology seeds, computed from the
parquets checked in beside this script (see README.md for what each run is).
"""
import itertools
import os
import sys
import numpy as np
import pandas as pd
_here = os.path.dirname(os.path.abspath(__file__))
D = sys.argv[1] if len(sys.argv) > 1 else os.path.join(_here, "default")
R = sys.argv[2] if len(sys.argv) > 2 else os.path.join(_here, "redundancy")
PC = sys.argv[3] if len(sys.argv) > 3 else os.path.join(_here, "percolation")
CC = os.path.join(_here, "correlated-churn")
CT = os.path.join(_here, "cover-traffic")
TM = os.path.join(_here, "timing")
P = pd.read_parquet(D + "/propagation.parquet")
A = pd.read_parquet(D + "/adversary.parquet")
Z = pd.read_parquet(D + "/deanon.parquet")
PR = pd.read_parquet(R + "/propagation.parquet")
ZR = pd.read_parquet(R + "/deanon.parquet")
PP = pd.read_parquet(PC + "/propagation.parquet")
def sem(s):
return s.std(ddof=1) / np.sqrt(s.count()) if s.count() > 1 else np.nan
def cell(df, col):
return df[col].mean(), sem(df[col])
print(f"rounds/cell: default {P.n_rounds.iloc[0]}x{P.graph_seed.nunique()}"
f" | redundancy {PR.n_rounds.iloc[0]}x{PR.graph_seed.nunique()}"
f" | percolation {PP.n_rounds.iloc[0]}x{PP.graph_seed.nunique()}")
print("\n### 3.1 full delay (s), N=1e5 mbd=3 u=0 : mean+-SEM")
b = P[(P.n_nodes == 100000) & (P.max_blend_delay == 3) & (P.unresponsive_frac == 0.0)]
for bh in sorted(b.blend_hops.unique()):
out = []
for d in sorted(b.degree.unique()):
m, e = cell(b[(b.blend_hops == bh) & (b.degree == d)], "full_delay_ms_mean")
out.append(f"d{d}:{m/1000:.2f}+-{e/1000:.3f}")
print(f" bh={bh} " + " ".join(out))
print(" per-hop cost (s) by degree:")
for d in sorted(b.degree.unique()):
g = b[b.degree == d].groupby("blend_hops").full_delay_ms_mean.mean() / 1000
print(f" d={d:<3} 1->2 {g[2]-g[1]:.2f} 2->3 {g[3]-g[2]:.2f} 3->5 {(g[5]-g[3])/2:.2f}")
print("\n### 3.2 composition N=1e5 deg8 bh3 ; and N-scaling")
g = b[(b.degree == 8) & (b.blend_hops == 3)]
for c in ("path_delay_ms_mean", "broadcast_delay_ms_mean", "full_delay_ms_mean",
"cover50_ms", "cover90_ms", "cover99_ms"):
m, e = cell(g, c)
print(f" {c:<24} {m:8.0f} +- {e:.0f} ms")
for n in sorted(P.n_nodes.unique()):
m, e = cell(P[(P.n_nodes == n) & (P.degree == 8) & (P.blend_hops == 3)
& (P.max_blend_delay == 3) & (P.unresponsive_frac == 0)], "full_delay_ms_mean")
print(f" N={n:<8} full {m/1000:.2f}+-{e/1000:.3f} s")
print(" cover99 by degree (N=1e5,bh3):",
{int(d): round(b[(b.degree == d) & (b.blend_hops == 3)].cover99_ms.mean())
for d in sorted(b.degree.unique())})
print("\n### 3.3 observed / eclipsed (exact) N=1e5 random")
ab = A[(A.n_nodes == 100000) & (A.adversary_mode == "random")]
print(ab.groupby(["f_adv", "degree"]).observed_frac.mean().unstack().round(3).to_string())
print(ab.groupby(["f_adv", "degree"]).eclipsed_frac.mean().unstack().round(4).to_string())
print(" random vs worstcase_coverage observed, AT DEGREE 8 (not averaged over degrees):")
wc = A[(A.n_nodes == 100000) & (A.degree == 8)
& A.adversary_mode.isin(["random", "worstcase_coverage"])]
print(wc.groupby(["f_adv", "adversary_mode"]).observed_frac.mean().unstack().round(3).to_string())
print(" ...and eclipse random vs worstcase_eclipse at degree 4:")
we = A[(A.n_nodes == 100000) & (A.degree == 4)
& A.adversary_mode.isin(["random", "worstcase_eclipse"])]
print(we.groupby(["f_adv", "adversary_mode"]).eclipsed_frac.mean().unstack().round(4).to_string())
print("\n### 3.4 deanon (exact) N=1e5 random deg8 : deanon_rate by f_adv x hops")
zz = Z[(Z.n_nodes == 100000) & (Z.adversary_mode == "random") & (Z.degree == 8)]
print(zz.groupby(["f_adv", "blend_hops"]).deanon_rate.mean().unstack().round(5).to_string())
print(" full_deanon vs degree (bh=2):")
print(Z[(Z.n_nodes == 100000) & (Z.adversary_mode == "random") & (Z.blend_hops == 2)]
.groupby(["f_adv", "degree"]).full_deanon_rate.mean().unstack().round(4).to_string())
print("\n### 3.5 delivery (N=1e5 deg8 mbd3): mean+-SEM [theory (1-u)^bh]")
dv = P[(P.n_nodes == 100000) & (P.degree == 8) & (P.max_blend_delay == 3)]
for bh in sorted(dv.blend_hops.unique()):
out = []
for u in sorted(dv.unresponsive_frac.unique()):
if u == 0:
continue
m, e = cell(dv[(dv.blend_hops == bh) & (dv.unresponsive_frac == u)], "delivery_rate")
out.append(f"u{u}:{m:.3f}+-{e:.3f}[{(1-u)**bh:.3f}]")
print(f" bh={bh} " + " ".join(out))
print("\n### 3.5 coverage (N=1e5 bh1 mbd3): mean+-SEM")
cc = P[(P.n_nodes == 100000) & (P.blend_hops == 1) & (P.max_blend_delay == 3)]
for d in sorted(cc.degree.unique()):
out = []
for u in (0.2, 0.3, 0.5):
m, e = cell(cc[(cc.degree == d) & (cc.unresponsive_frac == u)], "frac_reached")
out.append(f"u{u}:{m:.4f}+-{e:.4f}")
print(f" deg={d:<3} " + " ".join(out))
print("\n### 3.5 PERCOLATION run: coverage vs u (N=1e5, bh=1); u_c = 1-1/(d-1)")
for d in sorted(PP.degree.unique()):
uc = 1 - 1 / (d - 1)
g = PP[PP.degree == d].groupby("unresponsive_frac").frac_reached.mean()
print(f" deg={d:<3} u_c={uc:.2f} " + " ".join(f"{u:.1f}:{v:.3f}" for u, v in g.items()))
print("\n### 3.8 REDUNDANCY: delivery vs R (N=20k deg8 bh3): mean+-SEM [1-(1-p1)^R]")
pr = PR[(PR.degree == 8) & (PR.blend_hops == 3)]
for u in sorted(pr.unresponsive_frac.unique()):
if u == 0:
continue
p1 = pr[(pr.unresponsive_frac == u) & (pr.redundancy == 1)].delivery_rate.mean()
out, vals = [], []
for Rn in (1, 2, 3, 4):
m, e = cell(pr[(pr.unresponsive_frac == u) & (pr.redundancy == Rn)], "delivery_rate")
vals.append(m)
out.append(f"R{Rn}:{m:.3f}+-{e:.3f}[{1-(1-p1)**Rn:.3f}]")
mono = all(y >= x - 1e-9 for x, y in itertools.pairwise(vals))
print(f" u={u} " + " ".join(out) + ("" if mono else " <<< NON-MONOTONIC"))
print(" coverage vs R (should be flat -- no union bonus):")
for d in sorted(PR.degree.unique()):
for u in (0.3, 0.5):
g = PR[(PR.degree == d) & (PR.blend_hops == 1) & (PR.unresponsive_frac == u)]
print(f" deg={d} u={u}: " +
" ".join(f"R{Rn}:{g[g.redundancy==Rn].frac_reached.mean():.4f}" for Rn in (1, 2, 3, 4)))
print(" deanon vs R (exact, N=20k deg8 bh3 f=0.2 random):")
zr = ZR[(ZR.degree == 8) & (ZR.blend_hops == 3) & (ZR.f_adv == 0.2)
& (ZR.adversary_mode == "random")]
print(zr.groupby("redundancy")[["deanon_rate", "full_deanon_rate"]].mean().round(4).to_string())
# --- 3.9 correlated outages ----------------------------------------------------------------------
CCP = pd.read_parquet(CC + "/propagation.parquet")
print("\n### 3.9 correlated vs uniform churn (N=20k, 1 hop): live / all-node coverage, delivery")
for deg in sorted(CCP.degree.unique()):
d = CCP[(CCP.degree == deg) & (CCP.blend_hops == 1)]
for u in sorted(d.unresponsive_frac.unique()):
if u == 0:
continue
r = {m: d[(d.unresponsive_frac == u) & (d.churn_mode == m)] for m in ("uniform", "regional")}
print(f" deg={deg:<3} u={u:.1f} live {r['uniform'].frac_reached_live.mean():.3f} ->"
f" {r['regional'].frac_reached_live.mean():.3f} | all"
f" {r['uniform'].frac_reached.mean():.3f} -> {r['regional'].frac_reached.mean():.3f}"
f" | delivery {r['uniform'].delivery_rate.mean():.3f} ->"
f" {r['regional'].delivery_rate.mean():.3f}")
# --- 3.10 cover traffic --------------------------------------------------------------------------
CTT = pd.read_parquet(CT + "/traffic.parquet")
print("\n### 3.10 blending / mixing vs cover rate and release delay")
print(CTT.pivot_table(index="cover_rate_mult", columns="max_blend_delay",
values="blending_mean").round(1).to_string())
print(" mixing (mean concurrent holds):")
print(CTT.pivot_table(index="cover_rate_mult", columns="max_blend_delay",
values="queue_mean").round(4).to_string())
print("\n### 3.10 emission-quota stake ceiling vs cover rate")
q = CTT.groupby("cover_rate_mult").agg(
quota=("quota_per_epoch", "mean"), pred=("s_max_predicted", "mean"),
safe=("alpha_max_99", "mean"), hi=("max_compliant_stake", "mean"),
lo=("min_overrun_stake", "mean"), comp=("compliant_frac", "mean")).reset_index()
print(q.to_string(index=False, float_format=lambda v: f"{v:.5f}"))
# --- 3.11 timing ---------------------------------------------------------------------------------
TMT = pd.read_parquet(TM + "/traffic.parquet")
print("\n### 3.11 timing: release designs at a matched delay budget (min_blend_delay = 0)")
t = TMT[TMT.min_blend_delay == 0].groupby(["cover_rate_mult", "release_mode"]).agg(
hold=("hold_seconds_mean", "mean"), eff_set=("timing_set_mean", "mean"),
linked=("timing_linked_frac", "mean"), map_success=("map_success", "mean")).reset_index()
print(t.to_string(index=False, float_format=lambda v: f"{v:.3f}"))
print(" minimum-interval control (clock):")
m = TMT[TMT.release_mode == "clock"].groupby("min_blend_delay").agg(
hold=("hold_seconds_mean", "mean"), map_success=("map_success", "mean")).reset_index()
print(m.to_string(index=False, float_format=lambda v: f"{v:.3f}"))
# --- 3.4 attribution bracket ---------------------------------------------------------------------
print("\n### 3.4 attribution: local confidence vs the neighbourhood bound")
TD = pd.read_parquet(TM + "/deanon.parquet")
cols = ["attribution_conf_mean", "attributable_frac_50", "attributable_frac_90",
"upstream_hops", "neighbourhood_conf"]
print(TD[cols].mean().round(4).to_string())