#!/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())