""" StepProbe Metrics: Novel step-level evaluation metrics for compressed reasoning models. Key metrics: - FFS (First Failure Step): Where does reasoning first break? - ECR (Error Cascade Rate): How badly does one error propagate? - SSR (Step Survival Rate): At each step depth, what fraction of runs are still correct? - Error Type Distribution: Which error types dominate at each bit-width? """ import json import os from collections import defaultdict from dataclasses import dataclass from typing import List, Dict, Optional, Tuple import numpy as np @dataclass class StepProbeResults: """Aggregated results for a single model x quantization setting.""" model: str quantization: str n_problems: int accuracy: float # standard pass@1 avg_token_count: float # avg reasoning tokens # Step-level metrics (our contribution) avg_ffs: float # average First Failure Step median_ffs: float # median First Failure Step ffs_std: float # std of FFS ecr: float # Error Cascade Rate ssr_curve: List[float] # Step Survival Rate at each depth error_type_dist: Dict[str, float] # {conceptual: 0.15, methodological: 0.25, ...} # Comparison to full-precision accuracy_delta: float # accuracy - fp16_accuracy ffs_delta: float # avg_ffs - fp16_avg_ffs def compute_first_failure_step(steps: List[dict]) -> Optional[int]: """ Compute the First Failure Step (FFS) for a single problem. FFS is the index of the earliest step where is_correct == False. Returns None if all steps are correct (no failure). """ for step in steps: if step.get("is_correct") == False: return step["index"] return None # all correct def compute_error_cascade_rate(steps: List[dict]) -> Optional[float]: """ Compute the Error Cascade Rate (ECR) for a single problem. Given the first failure at step k, ECR = (# incorrect steps after k) / (# total steps after k). Returns None when ECR is undefined (no failure, or failure is the last step so there are no subsequent steps to score). The aggregate caller must filter on `is not None` rather than `> 0`, otherwise traces whose failures genuinely did not cascade (ECR == 0.0) are silently excluded from the cell-level mean and bias it upward (matches the cascade_rate / bootstrap convention in scripts/compute_ci.py). """ ffs = compute_first_failure_step(steps) if ffs is None: return None steps_after_failure = [s for s in steps if s["index"] > ffs] if not steps_after_failure: return None n_incorrect_after = sum(1 for s in steps_after_failure if s.get("is_correct") == False) return n_incorrect_after / len(steps_after_failure) def compute_step_survival_rate(all_steps: List[List[dict]], max_depth: int = 30) -> List[float]: """ Compute the Step Survival Rate (SSR) curve across all problems. SSR[i] = fraction of problems where the quantized model is still correct at step i. This creates a "survival curve" showing how reasoning quality degrades with depth. Args: all_steps: List of step-lists, one per problem max_depth: Maximum step depth to compute Returns: List of SSR values, one per step depth [0, 1, 2, ..., max_depth-1] """ ssr = [] for depth in range(max_depth): n_alive = 0 n_applicable = 0 for steps in all_steps: # Only count problems that have at least (depth+1) steps if len(steps) > depth: n_applicable += 1 # "Alive" means all steps up to and including this depth are correct all_correct_so_far = all( s.get("is_correct", True) for s in steps[:depth + 1] ) if all_correct_so_far: n_alive += 1 ssr.append(n_alive / n_applicable if n_applicable > 0 else 0.0) return ssr def compute_error_type_distribution(all_steps: List[List[dict]]) -> Dict[str, float]: """ Compute the distribution of error types across all incorrect steps. Returns: Dict mapping error_type -> fraction (sums to 1.0) """ counts = defaultdict(int) total = 0 for steps in all_steps: for step in steps: if step.get("is_correct") == False and step.get("error_type"): counts[step["error_type"]] += 1 total += 1 if total == 0: return {} return {k: v / total for k, v in sorted(counts.items())} def aggregate_metrics( diagnosed_traces: List[dict], fp16_accuracy: float = None, fp16_avg_ffs: float = None, ) -> StepProbeResults: """ Aggregate step-level metrics across all problems for a model x quantization setting. Args: diagnosed_traces: List of SegmentedCoT dicts (with is_correct and error_type filled in) fp16_accuracy: Full-precision accuracy for computing delta fp16_avg_ffs: Full-precision average FFS for computing delta Returns: StepProbeResults with all metrics computed """ n_problems = len(diagnosed_traces) if n_problems == 0: raise ValueError("No traces to aggregate") model = diagnosed_traces[0].get("model", "unknown") quant = diagnosed_traces[0].get("quantization", "unknown") # Standard accuracy n_correct = sum(1 for t in diagnosed_traces if t.get("is_correct_final", False)) accuracy = n_correct / n_problems # Token counts token_counts = [len(t.get("raw_output", "").split()) for t in diagnosed_traces] avg_tokens = np.mean(token_counts) if token_counts else 0 # Step-level metrics all_steps = [t.get("steps", []) for t in diagnosed_traces] # FFS ffs_values = [] for steps in all_steps: ffs = compute_first_failure_step(steps) if ffs is not None: ffs_values.append(ffs) avg_ffs = np.mean(ffs_values) if ffs_values else float("inf") median_ffs = np.median(ffs_values) if ffs_values else float("inf") ffs_std = np.std(ffs_values) if ffs_values else 0.0 # ECR — average over traces with at least one failure AND at least one # post-failure step. Filter on `is not None` (not `> 0`); a trace that # failed but did not cascade has ecr=0.0 and must stay in the mean. ecr_values = [compute_error_cascade_rate(steps) for steps in all_steps] ecr_values = [e for e in ecr_values if e is not None] avg_ecr = float(np.mean(ecr_values)) if ecr_values else 0.0 # SSR ssr_curve = compute_step_survival_rate(all_steps) # Error type distribution error_dist = compute_error_type_distribution(all_steps) # Deltas acc_delta = (accuracy - fp16_accuracy) if fp16_accuracy is not None else 0.0 ffs_delta = (avg_ffs - fp16_avg_ffs) if fp16_avg_ffs is not None else 0.0 return StepProbeResults( model=model, quantization=quant, n_problems=n_problems, accuracy=accuracy, avg_token_count=avg_tokens, avg_ffs=avg_ffs, median_ffs=median_ffs, ffs_std=ffs_std, ecr=avg_ecr, ssr_curve=ssr_curve, error_type_dist=error_dist, accuracy_delta=acc_delta, ffs_delta=ffs_delta, ) def format_results_table(results: List[StepProbeResults]) -> str: """Format multiple results into a readable comparison table.""" header = f"{'Model':<35} {'Quant':<12} {'Acc':<8} {'Δ Acc':<8} {'Avg FFS':<10} {'ECR':<8} {'Errors'}" lines = [header, "-" * len(header)] for r in results: error_str = ", ".join(f"{k}:{v:.0%}" for k, v in r.error_type_dist.items()) lines.append( f"{r.model:<35} {r.quantization:<12} {r.accuracy:<8.1%} " f"{r.accuracy_delta:<+8.1%} {r.avg_ffs:<10.1f} {r.ecr:<8.1%} {error_str}" ) return "\n".join(lines) # ============================================================ # CLI # ============================================================ if __name__ == "__main__": import argparse parser = argparse.ArgumentParser(description="Compute StepProbe metrics") parser.add_argument("--diagnosis", required=True, help="Directory with diagnosed traces") parser.add_argument("--output", required=True, help="Output directory for metrics") parser.add_argument("--fp16-accuracy", type=float, help="FP16 baseline accuracy") parser.add_argument("--fp16-ffs", type=float, help="FP16 baseline avg FFS") # --model and --quant tag the output filename so that metrics for different # (model, quant) combinations don't clobber each other. Without these, every # invocation produced files named "_run0_metrics.json" and the # last one written wins — which is why only one model appeared in figures. parser.add_argument("--model", default=None, help="Model tag to embed in the output filename and JSON") parser.add_argument("--quant", default=None, help="Quant tag to embed in the output filename and JSON") args = parser.parse_args() os.makedirs(args.output, exist_ok=True) # Load diagnosed traces import glob all_results = [] for fpath in sorted(glob.glob(os.path.join(args.diagnosis, "*.jsonl"))): traces = [] with open(fpath) as f: for line in f: traces.append(json.loads(line)) if not traces: continue result = aggregate_metrics( traces, fp16_accuracy=args.fp16_accuracy, fp16_avg_ffs=args.fp16_ffs, ) # CLI tags override whatever the traces carried (traces often have an # empty "model" field or the local adapter path rather than a tag). if args.model: result.model = args.model if args.quant: result.quantization = args.quant all_results.append(result) # Save individual result. Filename includes model + quant so writes # for different configs don't overwrite each other. basename = os.path.splitext(os.path.basename(fpath))[0] name_parts = [p for p in (args.model, args.quant, basename) if p] out_path = os.path.join(args.output, "_".join(name_parts) + "_metrics.json") with open(out_path, "w") as f: json.dump({ "model": result.model, "quantization": result.quantization, "accuracy": result.accuracy, "accuracy_delta": result.accuracy_delta, "avg_ffs": result.avg_ffs, "median_ffs": result.median_ffs, "ecr": result.ecr, "ssr_curve": result.ssr_curve, "error_type_dist": result.error_type_dist, }, f, indent=2) # Print comparison table if all_results: print(format_results_table(all_results)) print(f"\nMetrics saved to {args.output}")