StepProbe / stepprobe /metrics.py
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"""
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 "<benchmark>_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}")