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7.46 kB
| #!/usr/bin/env python3 | |
| """ | |
| Random Baseline for K-Module Problem | |
| This script establishes a baseline by randomly sampling configurations. | |
| It simulates what you'd get with pass@N (N independent random attempts) | |
| without any learning or optimization. | |
| This is useful because: | |
| 1. It establishes the "no learning" baseline | |
| 2. For closed models that don't support n>1 responses, we can't do true pass@k | |
| 3. Shows the expected performance of random search | |
| Usage: | |
| python run_random_baseline.py [--samples 100] [--trials 10] | |
| """ | |
| import argparse | |
| import json | |
| import random | |
| import time | |
| from pathlib import Path | |
| # Import the evaluator | |
| from evaluator import VALID_OPTIONS, CORRECT_CONFIG, NUM_MODULES | |
| def generate_random_config() -> dict: | |
| """Generate a random pipeline configuration.""" | |
| return { | |
| module: random.choice(options) | |
| for module, options in VALID_OPTIONS.items() | |
| } | |
| def score_config(config: dict) -> int: | |
| """Score a configuration (number of correct modules).""" | |
| return sum( | |
| 1 for module, value in config.items() | |
| if CORRECT_CONFIG.get(module) == value | |
| ) | |
| def run_random_search(max_samples: int) -> dict: | |
| """ | |
| Run random search until solution found or max_samples reached. | |
| Returns: | |
| dict with results | |
| """ | |
| results = { | |
| "samples": [], | |
| "scores": [], | |
| "best_scores": [], | |
| "solution_found_at": None, | |
| "configs_tried": [], | |
| } | |
| best_so_far = 0 | |
| for i in range(max_samples): | |
| config = generate_random_config() | |
| score = score_config(config) | |
| results["samples"].append(i) | |
| results["scores"].append(score / NUM_MODULES) | |
| best_so_far = max(best_so_far, score) | |
| results["best_scores"].append(best_so_far / NUM_MODULES) | |
| results["configs_tried"].append(config) | |
| if score == NUM_MODULES and results["solution_found_at"] is None: | |
| results["solution_found_at"] = i | |
| return results | |
| def run_multiple_trials(num_trials: int, max_samples: int) -> list: | |
| """Run multiple independent trials of random search.""" | |
| trial_results = [] | |
| for trial in range(num_trials): | |
| random.seed(trial * 1000 + int(time.time())) # Different seed per trial | |
| result = run_random_search(max_samples) | |
| trial_results.append({ | |
| "trial": trial, | |
| "solution_found_at": result["solution_found_at"], | |
| "final_best_score": result["best_scores"][-1] if result["best_scores"] else 0, | |
| "scores": result["scores"], | |
| "best_scores": result["best_scores"], | |
| }) | |
| return trial_results | |
| def calculate_pass_at_k(trial_results: list, k_values: list) -> dict: | |
| """ | |
| Calculate pass@k metrics. | |
| pass@k = probability of finding solution within k samples | |
| For random search on 625 possibilities: | |
| - pass@1 = 1/625 = 0.16% | |
| - pass@100 ≈ 1 - (624/625)^100 ≈ 14.8% | |
| - pass@312 ≈ 50% (half the search space) | |
| """ | |
| pass_at_k = {} | |
| for k in k_values: | |
| successes = sum( | |
| 1 for r in trial_results | |
| if r["solution_found_at"] is not None and r["solution_found_at"] < k | |
| ) | |
| pass_at_k[k] = successes / len(trial_results) | |
| return pass_at_k | |
| def theoretical_pass_at_k(k: int, search_space: int = 625) -> float: | |
| """Calculate theoretical pass@k for uniform random search.""" | |
| # Probability of NOT finding solution in k tries | |
| prob_fail = ((search_space - 1) / search_space) ** k | |
| return 1 - prob_fail | |
| def main(): | |
| parser = argparse.ArgumentParser(description="Random baseline for K-Module problem") | |
| parser.add_argument("--samples", type=int, default=100, help="Max samples per trial") | |
| parser.add_argument("--trials", type=int, default=100, help="Number of independent trials") | |
| parser.add_argument("--output", default="random_baseline_output", help="Output directory") | |
| args = parser.parse_args() | |
| print("=" * 60) | |
| print("K-MODULE PROBLEM: RANDOM BASELINE") | |
| print("=" * 60) | |
| print(f"Search space: {5**NUM_MODULES} configurations") | |
| print(f"Running {args.trials} trials with up to {args.samples} samples each") | |
| print() | |
| # Run trials | |
| print("Running random search trials...") | |
| trial_results = run_multiple_trials(args.trials, args.samples) | |
| # Calculate statistics | |
| solutions_found = [r for r in trial_results if r["solution_found_at"] is not None] | |
| success_rate = len(solutions_found) / len(trial_results) | |
| if solutions_found: | |
| avg_samples_to_solution = sum(r["solution_found_at"] for r in solutions_found) / len(solutions_found) | |
| min_samples = min(r["solution_found_at"] for r in solutions_found) | |
| max_samples = max(r["solution_found_at"] for r in solutions_found) | |
| else: | |
| avg_samples_to_solution = float('inf') | |
| min_samples = max_samples = None | |
| # Calculate pass@k | |
| k_values = [1, 10, 20, 50, 100, 200, 312] | |
| k_values = [k for k in k_values if k <= args.samples] | |
| empirical_pass_at_k = calculate_pass_at_k(trial_results, k_values) | |
| # Print results | |
| print("\n### Results") | |
| print(f" Success rate: {success_rate:.1%} ({len(solutions_found)}/{len(trial_results)} trials)") | |
| if solutions_found: | |
| print(f" Avg samples to solution: {avg_samples_to_solution:.1f}") | |
| print(f" Min samples: {min_samples}") | |
| print(f" Max samples: {max_samples}") | |
| else: | |
| print(f" No solutions found in {args.samples} samples") | |
| print("\n### Pass@k Comparison (Empirical vs Theoretical)") | |
| print(" k | Empirical | Theoretical") | |
| print(" ------|-----------|------------") | |
| for k in k_values: | |
| emp = empirical_pass_at_k.get(k, 0) | |
| theo = theoretical_pass_at_k(k) | |
| print(f" {k:5d} | {emp:8.1%} | {theo:8.1%}") | |
| # Save results | |
| output_dir = Path(args.output) | |
| output_dir.mkdir(exist_ok=True) | |
| results = { | |
| "config": { | |
| "samples_per_trial": args.samples, | |
| "num_trials": args.trials, | |
| "search_space": 5 ** NUM_MODULES, | |
| }, | |
| "summary": { | |
| "success_rate": success_rate, | |
| "avg_samples_to_solution": avg_samples_to_solution if solutions_found else None, | |
| "min_samples": min_samples, | |
| "max_samples": max_samples, | |
| }, | |
| "pass_at_k": { | |
| "empirical": empirical_pass_at_k, | |
| "theoretical": {k: theoretical_pass_at_k(k) for k in k_values}, | |
| }, | |
| "trials": trial_results, | |
| } | |
| with open(output_dir / "random_baseline_results.json", "w") as f: | |
| json.dump(results, f, indent=2) | |
| print(f"\nResults saved to: {output_dir}/random_baseline_results.json") | |
| # Key insight | |
| print("\n### Key Insight") | |
| print(" Random search requires ~312 samples (50% of search space) on average.") | |
| print(" This is the baseline that any optimization method should beat.") | |
| print(" ") | |
| print(" For LLM-based methods:") | |
| print(" - pass@k with closed models requires k separate API calls") | |
| print(" - Each call is independent (no learning across calls)") | |
| print(" - This is equivalent to random search if prompts don't help") | |
| print(" ") | |
| print(" OpenEvolve should find solutions in <<312 evaluations by:") | |
| print(" - Learning from population diversity") | |
| print(" - Combining good 'building blocks' via crossover") | |
| print("\n" + "=" * 60) | |
| if __name__ == "__main__": | |
| main() | |