#!/usr/bin/env python3 """Stress tests for graph misspecification, workflow size, and verifier quality.""" from __future__ import annotations import argparse import csv import math import random from pathlib import Path from statistics import mean, stdev from run_experiments import Graph, choose, episode, make_graph KINDS = ["chain", "tree", "diamond", "random"] def ci95(values: list[float]) -> float: return 1.96 * stdev(values) / math.sqrt(len(values)) def write_csv(path: Path, rows: list[dict]) -> None: with path.open("w", newline="", encoding="utf-8") as handle: writer = csv.DictWriter(handle, fieldnames=list(rows[0])) writer.writeheader() writer.writerows(rows) def perturb_edges(graph: Graph, drop_rate: float, add_rate: float, rng: random.Random) -> Graph: n = len(graph.p) true_edges = {(u, v): q for u, children in enumerate(graph.children) for v, q in children} kept = {(u, v): q for (u, v), q in true_edges.items() if rng.random() >= drop_rate} target_additions = round(len(true_edges) * add_rate) candidates = [(u, v) for u in range(n) for v in range(u + 1, n) if (u, v) not in true_edges] rng.shuffle(candidates) for u, v in candidates[:target_additions]: kept[(u, v)] = rng.uniform(0.42, 0.88) parents = [[] for _ in range(n)] children = [[] for _ in range(n)] for (u, v), q in sorted(kept.items()): children[u].append((v, q)) parents[v].append((u, q)) # Terminal outputs are part of the workflow specification and remain known; # only dependency edges are perturbed. return Graph(parents=parents, children=children, p=list(graph.p), sinks=list(graph.sinks)) def evaluate(graph: Graph, selected: set[int], sensitivity: float, episodes: int, seed_base: int) -> float: return mean([ episode(graph, selected, sensitivity, random.Random(seed_base + ep))[0] for ep in range(episodes) ]) def main() -> None: parser = argparse.ArgumentParser() parser.add_argument("--out", type=Path, default=Path("results/structure_sensitivity")) parser.add_argument("--graphs", type=int, default=240) parser.add_argument("--episodes", type=int, default=400) parser.add_argument("--seed", type=int, default=7) args = parser.parse_args() args.out.mkdir(parents=True, exist_ok=True) master = random.Random(args.seed) graphs = [(kind, make_graph(kind, 40, random.Random(master.randrange(2**63)))) for kind in KINDS for _ in range(args.graphs // len(KINDS))] topology_rows: list[dict] = [] conditions = [ ("exact", 0.0, 0.0), ("drop", 0.1, 0.0), ("drop", 0.2, 0.0), ("drop", 0.3, 0.0), ("drop", 0.5, 0.0), ("add", 0.0, 0.1), ("add", 0.0, 0.2), ("add", 0.0, 0.3), ("add", 0.0, 0.5), ("mixed", 0.1, 0.1), ("mixed", 0.2, 0.2), ("mixed", 0.3, 0.3), ] for label, drop, add in conditions: values = {"local-risk": [], "toporisk": []} for graph_id, (_, graph) in enumerate(graphs): estimated = perturb_edges( graph, drop, add, random.Random(args.seed * 1_000_003 + graph_id * 101 + int(drop * 100) * 3 + int(add * 100)), ) for method_id, method in enumerate(values): selected = choose(estimated, method, 4, random.Random(graph_id + method_id)) values[method].append(evaluate( graph, selected, .90, args.episodes, args.seed * 10**8 + graph_id * 10_000, )) for method, observed in values.items(): topology_rows.append({ "condition": label, "drop_rate": drop, "add_rate": add, "method": method, "terminal_error": mean(observed), "terminal_error_ci95": ci95(observed), }) write_csv(args.out / "topology_misspecification.csv", topology_rows) sensitivity_rows: list[dict] = [] for sensitivity in [.50, .70, .90, 1.00]: values = {"local-risk": [], "toporisk": []} for graph_id, (_, graph) in enumerate(graphs): for method_id, method in enumerate(values): selected = choose(graph, method, 4, random.Random(graph_id + method_id)) values[method].append(evaluate( graph, selected, sensitivity, args.episodes, args.seed * 10**8 + graph_id * 10_000, )) for method, observed in values.items(): sensitivity_rows.append({ "sensitivity": sensitivity, "method": method, "terminal_error": mean(observed), "terminal_error_ci95": ci95(observed), }) write_csv(args.out / "verifier_sensitivity.csv", sensitivity_rows) size_rows: list[dict] = [] size_master = random.Random(args.seed + 884_221) for n in [20, 40, 80, 160]: size_graphs = [(kind, make_graph(kind, n, random.Random(size_master.randrange(2**63)))) for kind in KINDS for _ in range(30)] values = {"local-risk": [], "toporisk": []} for graph_id, (_, graph) in enumerate(size_graphs): k = max(1, round(.10 * n)) for method_id, method in enumerate(values): selected = choose(graph, method, k, random.Random(graph_id + method_id)) values[method].append(evaluate( graph, selected, .90, 200, args.seed * 10**8 + n * 1_000_000 + graph_id * 1_000, )) for method, observed in values.items(): size_rows.append({ "nodes": n, "graphs": len(size_graphs), "episodes_per_graph": 200, "method": method, "terminal_error": mean(observed), "terminal_error_ci95": ci95(observed), }) write_csv(args.out / "workflow_size.csv", size_rows) print(f"wrote three stress-test tables to {args.out}") if __name__ == "__main__": main()