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StepProbe: Step-Level Error Diagnosis
Uses an LLM judge (GPT-4o or Claude) to classify each divergent step
into one of four error types: conceptual, methodological, executional, logical.
Also determines the correctness of each step independently.
"""
import json
import os
import time
from typing import List, Dict, Optional, Tuple
from dataclasses import dataclass
from stepprobe.align import align_steps, StepAlignment
from stepprobe.utils import load_jsonl, save_jsonl, check_answer, extract_number
# ============================================================
# LLM Judge Prompts
# ============================================================
STEP_CORRECTNESS_PROMPT = """You are an expert mathematics and reasoning evaluator. You will be given:
1. A math/reasoning problem
2. The ground-truth solution (from a full-precision model)
3. A single reasoning step from a quantized model
Your task: Determine if the quantized model's step is CORRECT or INCORRECT.
A step is CORRECT if:
- The mathematical operations are valid
- The logic follows from previous steps
- No arithmetic errors are present
- The concept/method applied is appropriate
A step is INCORRECT if ANY of the above are violated.
Problem:
{problem}
Ground-truth solution context:
{ref_context}
Step to evaluate (from quantized model):
{hyp_step}
Respond with EXACTLY one of:
CORRECT
INCORRECT
Your judgment:"""
ERROR_CLASSIFICATION_PROMPT = """You are an expert at diagnosing reasoning errors in language models. You will be given:
1. A math/reasoning problem
2. The correct reasoning step (from a full-precision model)
3. The incorrect reasoning step (from a quantized model)
Classify the error into EXACTLY ONE of these four categories:
CONCEPTUAL: Wrong mathematical concept or theorem applied.
Examples: Using addition instead of multiplication, applying wrong formula entirely,
confusing probability with frequency, wrong theorem.
METHODOLOGICAL: Correct concept but wrong approach, setup, or formula application.
Examples: Correct integration concept but wrong substitution, setting up equation
incorrectly, wrong order of operations in a valid approach.
EXECUTIONAL: Correct method but arithmetic/computation errors.
Examples: 7 × 8 = 54, carrying errors, decimal point mistakes, sign errors,
simplification mistakes.
LOGICAL: Invalid logical inference or reasoning jump.
Examples: Concluding A > C from A > B without B > C, circular reasoning,
non-sequitur conclusions, ignoring edge cases, invalid generalizations.
Problem:
{problem}
Correct step (reference):
{ref_step}
Incorrect step (quantized):
{hyp_step}
Respond with EXACTLY one word from: CONCEPTUAL, METHODOLOGICAL, EXECUTIONAL, LOGICAL
Error type:"""
# ============================================================
# LLM Judge Interface
# ============================================================
class LLMJudge:
"""Interface for LLM-based step evaluation."""
def __init__(self, provider: str = "openai", model: str = "gpt-4o", temperature: float = 0.0):
self.provider = provider
self.model = model
self.temperature = temperature
self._client = None
def _get_client(self):
if self._client is not None:
return self._client
if self.provider == "openai":
from openai import OpenAI
self._client = OpenAI()
elif self.provider == "anthropic":
from anthropic import Anthropic
self._client = Anthropic()
else:
raise ValueError(f"Unknown provider: {self.provider}")
return self._client
def _call(self, prompt: str) -> str:
client = self._get_client()
for attempt in range(3):
try:
if self.provider == "openai":
resp = client.chat.completions.create(
model=self.model,
messages=[{"role": "user", "content": prompt}],
temperature=self.temperature,
max_tokens=50,
)
return resp.choices[0].message.content.strip()
elif self.provider == "anthropic":
resp = client.messages.create(
model=self.model,
max_tokens=50,
temperature=self.temperature,
messages=[{"role": "user", "content": prompt}],
)
return resp.content[0].text.strip()
except Exception as e:
print(f" [Judge] Attempt {attempt+1} failed: {e}")
time.sleep(2 ** attempt)
return "ERROR"
def judge_correctness(self, problem: str, ref_context: str, hyp_step: str) -> bool:
"""Judge whether a single step is correct."""
prompt = STEP_CORRECTNESS_PROMPT.format(
problem=problem,
ref_context=ref_context,
hyp_step=hyp_step,
)
result = self._call(prompt).upper()
return "CORRECT" in result
def classify_error(self, problem: str, ref_step: str, hyp_step: str) -> str:
"""Classify an incorrect step into one of four error types."""
prompt = ERROR_CLASSIFICATION_PROMPT.format(
problem=problem,
ref_step=ref_step,
hyp_step=hyp_step,
)
result = self._call(prompt).upper()
for etype in ["CONCEPTUAL", "METHODOLOGICAL", "EXECUTIONAL", "LOGICAL"]:
if etype in result:
return etype.lower()
return "executional" # default fallback
class RuleBasedJudge:
"""
Fast, free, heuristic-based judge for initial screening.
Uses the reference answer to determine final-answer correctness,
and simple heuristics for step-level checks.
"""
def judge_correctness(self, problem: str, ref_context: str, hyp_step: str) -> bool:
"""Heuristic: check if key numbers from reference appear in hypothesis."""
import re
ref_nums = set(re.findall(r"-?\d+\.?\d*", ref_context))
hyp_nums = set(re.findall(r"-?\d+\.?\d*", hyp_step))
# If the step introduces a number not in the reference, flag it
novel_nums = hyp_nums - ref_nums
# Very rough heuristic: if many novel numbers, likely wrong
if len(novel_nums) > 3:
return False
return True
def classify_error(self, problem: str, ref_step: str, hyp_step: str) -> str:
"""Heuristic classification based on text patterns."""
import re
hyp_lower = hyp_step.lower()
# Check for arithmetic errors
ref_nums = re.findall(r"\d+\s*[+\-*/×÷]\s*\d+\s*=\s*(\d+)", ref_step)
hyp_nums = re.findall(r"\d+\s*[+\-*/×÷]\s*\d+\s*=\s*(\d+)", hyp_step)
if ref_nums and hyp_nums and ref_nums != hyp_nums:
return "executional"
# Check for method keywords divergence
method_words = ["substitute", "integrate", "differentiate", "factor", "expand", "simplify"]
ref_methods = [w for w in method_words if w in ref_step.lower()]
hyp_methods = [w for w in method_words if w in hyp_lower]
if ref_methods and hyp_methods and set(ref_methods) != set(hyp_methods):
return "methodological"
# Check for logical connectors misuse
logic_words = ["therefore", "because", "since", "implies", "hence", "thus"]
if any(w in hyp_lower for w in logic_words):
return "logical"
return "conceptual"
# ============================================================
# Diagnosis Pipeline
# ============================================================
def diagnose_single_problem(
problem_text: str,
gold_answer: str,
ref_trace: dict,
hyp_trace: dict,
judge: LLMJudge = None,
alignment_method: str = "dtw",
) -> dict:
"""
Diagnose a single problem: align steps, judge correctness, classify errors.
Returns:
Updated hyp_trace dict with is_correct and error_type filled in for each step.
"""
ref_steps = ref_trace.get("steps", [])
hyp_steps = hyp_trace.get("steps", [])
# Check final answer correctness
hyp_answer = hyp_trace.get("final_answer", "")
is_correct_final = check_answer(hyp_answer, gold_answer)
# If final answer is correct, assume all steps are correct (optimistic)
if is_correct_final:
for step in hyp_steps:
step["is_correct"] = True
step["error_type"] = None
hyp_trace["is_correct_final"] = True
hyp_trace["steps"] = hyp_steps
return hyp_trace
# Final answer is wrong: find where it went wrong
hyp_trace["is_correct_final"] = False
# Align steps
alignments = align_steps(ref_steps, hyp_steps, method=alignment_method)
# Build reference context (full solution)
ref_context = "\n".join(s["text"] for s in ref_steps)
# Judge each step
found_first_error = False
for alignment in alignments:
if alignment.hyp_index is None:
continue # deleted step, skip
hyp_step_dict = None
for s in hyp_steps:
if s["index"] == alignment.hyp_index:
hyp_step_dict = s
break
if hyp_step_dict is None:
continue
if alignment.alignment_type == "match" and alignment.similarity > 0.85:
# High similarity to reference -> likely correct
hyp_step_dict["is_correct"] = True
hyp_step_dict["error_type"] = None
elif judge is not None:
# Use LLM judge
is_correct = judge.judge_correctness(
problem=problem_text,
ref_context=ref_context,
hyp_step=hyp_step_dict["text"],
)
hyp_step_dict["is_correct"] = is_correct
if not is_correct:
found_first_error = True
ref_text = alignment.ref_text if alignment.ref_text else ref_context
error_type = judge.classify_error(
problem=problem_text,
ref_step=ref_text,
hyp_step=hyp_step_dict["text"],
)
hyp_step_dict["error_type"] = error_type
else:
hyp_step_dict["error_type"] = None
else:
# No judge: use alignment similarity as proxy
if alignment.similarity > 0.6:
hyp_step_dict["is_correct"] = True
hyp_step_dict["error_type"] = None
else:
hyp_step_dict["is_correct"] = False
# Use rule-based classification
rb = RuleBasedJudge()
hyp_step_dict["error_type"] = rb.classify_error(
problem=problem_text,
ref_step=alignment.ref_text,
hyp_step=hyp_step_dict["text"],
)
# If final answer is wrong but we found no step-level error, mark last step
if not is_correct_final and not any(s.get("is_correct") == False for s in hyp_steps):
if hyp_steps:
hyp_steps[-1]["is_correct"] = False
hyp_steps[-1]["error_type"] = "executional"
hyp_trace["steps"] = hyp_steps
return hyp_trace
def diagnose_batch(
ref_traces: List[dict],
hyp_traces: List[dict],
problems: List[dict],
judge: LLMJudge = None,
alignment_method: str = "dtw",
verbose: bool = True,
) -> List[dict]:
"""
Diagnose a batch of problems.
Args:
ref_traces: Segmented FP16 traces (list of dicts)
hyp_traces: Segmented quantized traces (list of dicts)
problems: Original problems with gold answers
judge: LLMJudge instance (None = use heuristic)
alignment_method: "dtw" or "index"
Returns:
List of diagnosed hyp_traces with is_correct and error_type filled in
"""
# Build lookup by problem_id
ref_by_id = {t["problem_id"]: t for t in ref_traces}
prob_by_id = {p.get("problem_id", p.get("id", "")): p for p in problems}
diagnosed = []
n_correct = 0
n_total = 0
from tqdm import tqdm
iterator = tqdm(hyp_traces, desc="Diagnosing") if verbose else hyp_traces
for hyp_trace in iterator:
pid = hyp_trace["problem_id"]
ref_trace = ref_by_id.get(pid)
prob = prob_by_id.get(pid, {})
if ref_trace is None:
print(f" [WARN] No reference trace for {pid}, skipping")
continue
gold_answer = prob.get("gold_answer", prob.get("answer", ""))
problem_text = prob.get("question", prob.get("problem", ""))
result = diagnose_single_problem(
problem_text=problem_text,
gold_answer=gold_answer,
ref_trace=ref_trace,
hyp_trace=hyp_trace,
judge=judge,
alignment_method=alignment_method,
)
diagnosed.append(result)
n_total += 1
if result.get("is_correct_final"):
n_correct += 1
if verbose:
if n_total > 0:
print(f"\nDiagnosis complete: {n_correct}/{n_total} correct ({n_correct/n_total:.1%})")
else:
print("\nDiagnosis complete: no hypothesis traces matched a reference — check that "
"ref/hyp jsonls share problem_ids and filenames.")
return diagnosed
# ============================================================
# CLI
# ============================================================
if __name__ == "__main__":
import argparse
parser = argparse.ArgumentParser(description="Diagnose step-level errors in quantized reasoning traces")
parser.add_argument("--ref", required=True, help="Directory with segmented FP16 traces")
parser.add_argument("--hyp", required=True, help="Directory with segmented quantized traces")
parser.add_argument("--problems", default=None, help="JSONL file with original problems + gold answers")
parser.add_argument("--output", required=True, help="Output directory")
parser.add_argument("--judge", default="none", choices=["openai", "anthropic", "none"],
help="LLM judge provider (none = heuristic only)")
parser.add_argument("--judge-model", default="gpt-4o", help="Judge model name")
parser.add_argument("--alignment", default="dtw", choices=["dtw", "index"])
args = parser.parse_args()
os.makedirs(args.output, exist_ok=True)
# Set up judge
judge = None
if args.judge != "none":
judge = LLMJudge(provider=args.judge, model=args.judge_model)
print(f"Using LLM judge: {args.judge}/{args.judge_model}")
else:
print("Using heuristic-based diagnosis (no API calls)")
# Load traces. Pair ref/hyp by FILENAME, not by position — pairing by
# position breaks when ref and hyp have different numbers of files (e.g.
# ref holds {gsm8k, math500, gpqa}.jsonl but hyp only has math500.jsonl,
# which would otherwise silently pair gsm8k-ref with math500-hyp).
import glob
ref_files = sorted(glob.glob(os.path.join(args.ref, "*.jsonl")))
hyp_files = sorted(glob.glob(os.path.join(args.hyp, "*.jsonl")))
ref_by_name = {os.path.basename(f): f for f in ref_files}
for hyp_f in hyp_files:
ref_f = ref_by_name.get(os.path.basename(hyp_f))
if ref_f is None:
print(f" [SKIP] No matching reference for {os.path.basename(hyp_f)}")
continue
print(f"\nProcessing: {os.path.basename(ref_f)} vs {os.path.basename(hyp_f)}")
ref_traces = load_jsonl(ref_f)
hyp_traces = load_jsonl(hyp_f)
# Load problems if provided, otherwise reconstruct from traces
if args.problems:
problems = load_jsonl(args.problems)
else:
problems = []
for t in ref_traces:
problems.append({
"problem_id": t["problem_id"],
"question": t.get("raw_output", "")[:200],
"gold_answer": t.get("final_answer", ""),
})
diagnosed = diagnose_batch(
ref_traces=ref_traces,
hyp_traces=hyp_traces,
problems=problems,
judge=judge,
alignment_method=args.alignment,
)
out_path = os.path.join(args.output, os.path.basename(hyp_f))
save_jsonl(diagnosed, out_path)
print(f" Saved {len(diagnosed)} diagnosed traces -> {out_path}")
print("\nDiagnosis pipeline complete!")
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