| """LaTeX-aware accuracy evaluation. |
| |
| Addresses the answer-equivalence rabbit hole flagged in the paper |
| (\\left(3,\\frac{\\pi}{2}\\right) == (3,\\frac{\\pi}{2})) by delegating to |
| HuggingFace's `math_verify` library, which parses LaTeX + symbolic forms |
| and checks equivalence via SymPy. |
| |
| Two entry points: |
| 1. A library function `compute_accuracy(jsonl_path, benchmark)` reusable |
| from the figure scripts (e.g. make_ablation_figure.py loading the |
| FP16 reference accuracy). |
| 2. A CLI that writes an accuracy JSON next to the input jsonl so |
| downstream scripts can avoid redoing the work. |
| |
| Input jsonls may be: |
| - Raw inference outputs (has: `output`, `gold_answer`) |
| - Segmented outputs (has: `final_answer`, possibly `gold_answer`) |
| - Diagnosed outputs (has: `is_correct_final` already — we skip |
| and just count) |
| """ |
|
|
| import argparse |
| import json |
| import os |
| import re |
| from functools import lru_cache |
| from typing import List, Optional, Tuple |
|
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| |
| |
|
|
| @lru_cache(maxsize=8) |
| def _load_gold(benchmark: str): |
| from datasets import load_dataset |
|
|
| if benchmark == "gsm8k": |
| ds = load_dataset("openai/gsm8k", "main", split="test") |
| return {f"gsm8k_{i}": ex["answer"].split("####")[-1].strip() |
| for i, ex in enumerate(ds)} |
| if benchmark == "math500": |
| ds = load_dataset("HuggingFaceH4/MATH-500", split="test") |
| return {f"math500_{i}": ex["answer"] for i, ex in enumerate(ds)} |
| if benchmark == "gpqa": |
| ds = load_dataset("Idavidrein/gpqa", "gpqa_diamond", split="train") |
| return {f"gpqa_{i}": ex.get("Correct Answer", "") for i, ex in enumerate(ds)} |
| raise ValueError(f"Unknown benchmark: {benchmark}") |
|
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| |
| |
|
|
| def _balanced_extract(raw: str) -> Optional[str]: |
| """Return the contents of the LAST `\\boxed{...}` in `raw`, handling |
| arbitrarily nested braces. Returns None if no closed `\\boxed{...}` exists. |
| |
| Regex with one level of bracket nesting (as used by some upstream |
| pipelines including stepprobe.segment) silently truncates `\\frac{14}{3}` |
| to `\\frac{14` — hence this hand-written scanner. |
| """ |
| idx = raw.rfind(r"\boxed{") |
| if idx < 0: |
| return None |
| start = idx + len(r"\boxed{") |
| depth = 1 |
| i = start |
| while i < len(raw): |
| ch = raw[i] |
| if ch == "{": |
| depth += 1 |
| elif ch == "}": |
| depth -= 1 |
| if depth == 0: |
| return raw[start:i] |
| i += 1 |
| return None |
|
|
|
|
| def _looks_balanced(s: str) -> bool: |
| """Cheap sanity check: equal open/close braces AND no trailing backslash.""" |
| return s.count("{") == s.count("}") and not s.endswith("\\") |
|
|
|
|
| def extract_pred(trace: dict) -> str: |
| """Pull out the model's final answer. |
| |
| Prefers `final_answer` if it has balanced braces; otherwise re-extracts |
| from the raw output with a balanced-brace scanner. |
| """ |
| pred = (trace.get("final_answer") or "").strip() |
| if pred and _looks_balanced(pred): |
| return pred |
| raw = trace.get("output") or trace.get("raw_output") or "" |
| rescued = _balanced_extract(raw) |
| return rescued or pred |
|
|
|
|
| def _equiv(pred: str, gold: str) -> bool: |
| """math_verify-based equivalence; degrades gracefully to string match.""" |
| if not pred or not gold: |
| return False |
| try: |
| from math_verify import parse, verify |
| |
| p_str = pred if pred.startswith("\\boxed") else f"\\boxed{{{pred}}}" |
| g_str = gold if gold.startswith("\\boxed") else f"\\boxed{{{gold}}}" |
| return bool(verify(parse(g_str), parse(p_str))) |
| except Exception: |
| |
| |
| def norm(s): |
| return (s or "").strip().strip("$").replace(" ", "").replace(",", "").lower() |
| return norm(pred) == norm(gold) |
|
|
|
|
| |
| |
| |
|
|
| def compute_accuracy(jsonl_path: str, benchmark: str, |
| use_cache: bool = True) -> Optional[Tuple[int, int]]: |
| """Return (n_correct, n_total) for one jsonl file, or None if missing. |
| |
| Writes a small `.acc.json` sidecar next to the jsonl so repeated calls |
| are O(1) rather than O(n_problems). |
| """ |
| if not os.path.exists(jsonl_path): |
| return None |
|
|
| cache_path = jsonl_path + ".acc.json" |
| if use_cache and os.path.exists(cache_path): |
| with open(cache_path) as f: |
| d = json.load(f) |
| return d["n_correct"], d["n_total"] |
|
|
| |
| |
| traces = [] |
| has_verdict = True |
| with open(jsonl_path) as f: |
| for line in f: |
| t = json.loads(line) |
| traces.append(t) |
| if "is_correct_final" not in t: |
| has_verdict = False |
|
|
| if has_verdict and traces: |
| n_correct = sum(1 for t in traces if t.get("is_correct_final")) |
| n_total = len(traces) |
| else: |
| golds = _load_gold(benchmark) |
| n_correct, n_total = 0, 0 |
| for t in traces: |
| pid = t.get("problem_id") |
| gold = t.get("gold_answer") or golds.get(pid, "") |
| pred = extract_pred(t) |
| n_total += 1 |
| if _equiv(pred, gold): |
| n_correct += 1 |
|
|
| if use_cache: |
| with open(cache_path, "w") as f: |
| json.dump({"n_correct": n_correct, "n_total": n_total, |
| "accuracy": n_correct / n_total if n_total else None, |
| "benchmark": benchmark}, f) |
|
|
| return n_correct, n_total |
|
|
|
|
| def accuracy(jsonl_path: str, benchmark: str) -> Optional[float]: |
| r = compute_accuracy(jsonl_path, benchmark) |
| if r is None or r[1] == 0: |
| return None |
| return r[0] / r[1] |
|
|
|
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| |
| |
| |
|
|
| def main(): |
| parser = argparse.ArgumentParser() |
| parser.add_argument("--jsonl", required=True, help="Inference/segmented/diagnosis jsonl") |
| parser.add_argument("--benchmark", required=True, choices=["gsm8k", "math500", "gpqa"]) |
| parser.add_argument("--no-cache", action="store_true") |
| args = parser.parse_args() |
|
|
| r = compute_accuracy(args.jsonl, args.benchmark, use_cache=not args.no_cache) |
| if r is None: |
| print(f"missing: {args.jsonl}") |
| return |
| n_correct, n_total = r |
| print(f"{args.jsonl}") |
| print(f" accuracy: {n_correct}/{n_total} = {n_correct/n_total:.3f}" |
| if n_total else " (no traces)") |
|
|
|
|
| if __name__ == "__main__": |
| main() |
|
|