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#!/usr/bin/env python3
"""Is "break the grader's fixture and collect the weight" a strategy?
python3 faultprobe.py
One question, asked over every tree that has ever been graded with this grader
(.calib/mutation-probe.json and the current-schema rows of .calib/calibration.json):
for each criterion this tree does not pass, what does the tree GAIN by
turning that criterion from a FAIL into a GRADER FAULT?
An agent can do that without touching the criterion it is failing: the oracle is
compiled against the tree and driven through its exported API, so a tree that
renames an exported symbol, or that hangs inside one scenario, converts a
criterion it would fail into one the grader cannot judge.
That is the channel. Three rules are compared:
absolve the shipped rule: a faulted criterion is scored 1.0
normalise §5.3 as literally written: scored 0.0 and struck from the
denominator, the reward renormalised over the weight measured
strike what is implemented: scored 0.0, struck from the blocker set,
nothing renormalised. The normalised figure is reported in the
info block, and the run is flagged isError for a re-run.
A rule closes the channel iff no tree can gain under it. Anything above zero is
weight an agent can have for breaking the grader instead of meeting a criterion.
"""
from __future__ import annotations
import json
from pathlib import Path
import mutprobe as M
HERE = Path(__file__).resolve().parent
CALIB = HERE / ".calib"
def load_matrix() -> dict[str, dict[str, bool]]:
"""Every recorded tree whose row uses the criterion names in force today."""
graders, _cap = M.load_table()
known = {n for n, _w, _b in graders}
# A row is usable as long as it covers every criterion of the board in
# force today; an older schema is skipped rather than half-read.
core = set(known)
rows: dict[str, dict[str, bool]] = {}
for path in (CALIB / "mutation-probe.json", CALIB / "calibration.json"):
if not path.exists():
continue
try:
entries = json.loads(path.read_text())
except (ValueError, OSError):
continue
for e in entries:
res = e.get("results") or {}
if not core.issubset(res):
continue # an older schema, or a partial run
rows[e["tree"]] = {n: bool(res.get(n)) for n in known}
return rows
# ─── the three rules ───────────────────────────────────────────────────────
def absolve(results, graders, cap, faults):
"""Shipped: a faulted criterion is scored 1.0 and cannot cap."""
faults = set(faults)
uncapped = sum(w for n, w, _b in graders if results.get(n) or n in faults)
failed = [n for n, _w, b in graders if b and n not in faults and not results.get(n)]
return uncapped if not failed else max(0.0, min(uncapped, cap))
def normalise(results, graders, cap, faults):
"""§5.3 literally: scored 0.0, and out of the denominator too."""
faults = set(faults)
measured = sum(w for n, w, _b in graders if n not in faults)
if measured <= 0:
return 0.0
earned = sum(w for n, w, _b in graders if n not in faults and results.get(n))
failed = [n for n, _w, b in graders if b and n not in faults and not results.get(n)]
score = earned / measured
return score if not failed else max(0.0, min(score, cap))
def strike_no_ceiling(results, graders, cap, faults):
"""Scored 0.0 and struck from the blocker set, without the unproven ceiling.
The intermediate step, kept because it is the one that looks right and is
not: striking a faulted BLOCKER also lifts the cap, and lifting the cap is
worth the whole gap between it and 1.00 to a tree that would fail a gate.
"""
faults = set(faults)
uncapped = sum(w for n, w, _b in graders if n not in faults and results.get(n))
failed = [n for n, _w, b in graders if b and n not in faults and not results.get(n)]
return uncapped if not failed else max(0.0, min(uncapped, cap))
def strike(results, graders, cap, faults):
"""Implemented: scored 0.0, not renormalised, unproven blockers keep the cap."""
return M.reward(results, graders, cap, faults)[0]
RULES = (("absolve", absolve), ("normalise", normalise),
("no-ceiling", strike_no_ceiling), ("strike", strike))
def main() -> None:
graders, cap = M.load_table()
names = [n for n, _w, _b in graders]
weights = {n: w for n, w, _b in graders}
rows = load_matrix()
if not rows:
raise SystemExit("no recorded rows use today's criterion names")
print(f"{len(rows)} recorded trees, {len(names)} criteria, cap {cap:.2f}")
print("gain = what the tree scores once one criterion it FAILS is turned "
"into a fault, minus what it scores honestly\n")
worst = {label: (-9.9, "", "") for label, _fn in RULES}
print(f"{'tree':<28} {'criterion it breaks':<46} {'honest':>7} "
+ " ".join(f"{label:>10}" for label, _fn in RULES))
for tree in sorted(rows):
results = rows[tree]
honest = M.reward(results, graders, cap)[0]
for c in names:
if results.get(c):
continue # it passes this one; breaking it can only cost
line = f"{tree:<28} {c + f' (w={weights[c]:.2f})':<46} {honest:>7.3f}"
for label, fn in RULES:
got = fn(results, graders, cap, {c})
gain = got - honest
line += f" {got:>6.3f}{gain:+.3f}"
if gain > worst[label][0]:
worst[label] = (gain, tree, c)
print(line)
print("\n=== the most a tree can gain by breaking one fixture ===")
for label, _fn in RULES:
gain, tree, c = worst[label]
verdict = "CHANNEL OPEN" if gain > 1e-9 else "closed"
print(f" {label:<10} {gain:+.3f} ({tree}, {c}) -> {verdict}")
# ─── the proof, as opposed to the illustration ─────────────────────────
#
# The rows above are the trees that happen to have been graded. The channel
# is a property of the arithmetic, not of the sample, so: every one of the
# 2^n outcome vectors a tree could possibly have, against every non-empty
# subset of criteria it could turn into a fault. A rule is closed iff the
# largest gain over the whole space is zero.
print(f"\n=== every possible tree ({1 << len(names)} outcome vectors) x every "
f"subset of faults ({(1 << len(names)) - 1}) ===")
worst_all = {label: (-9.9, (), ()) for label, _fn in RULES}
for outcome in range(1 << len(names)):
results = {n: bool(outcome >> i & 1) for i, n in enumerate(names)}
honest = M.reward(results, graders, cap)[0]
for mask in range(1, 1 << len(names)):
faults = {names[i] for i in range(len(names)) if mask >> i & 1}
for label, fn in RULES:
gain = fn(results, graders, cap, faults) - honest
if gain > worst_all[label][0]:
reds = tuple(n for n in names if not results[n])
worst_all[label] = (gain, reds, tuple(sorted(faults)))
for label, _fn in RULES:
gain, reds, faults = worst_all[label]
verdict = "CHANNEL OPEN" if gain > 1e-9 else "CLOSED"
print(f" {label:<11} max gain {gain:+.3f} -> {verdict}")
if gain > 1e-9:
print(f" worst case: a tree failing {list(reds) or 'nothing'}")
print(f" breaks {list(faults)}")
strike_gain = worst_all["strike"][0]
print("\n" + ("PASS: under the implemented rule, breaking any set of fixtures "
"is never worth anything."
if strike_gain <= 1e-9 else
f"FAIL: the implemented rule still pays {strike_gain:+.3f}."))
return 0 if strike_gain <= 1e-9 else 1
if __name__ == "__main__":
raise SystemExit(main())