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import os
import re
import time
from pathlib import Path
from deepeval.metrics import GEval
from deepeval.models import GPTModel
from deepeval.test_case import LLMTestCase, SingleTurnParams, LLMTestCaseParams
BASE_DIR = Path(__file__).resolve().parent
INPUTS_DIR = BASE_DIR / "inputs"
OUTPUTS_DIR = BASE_DIR / "outputs"
THEOREM_MAP = INPUTS_DIR / "theorem_map.md"
CONJECTURES_DIR = INPUTS_DIR / "generated_conjectures"
JSON_OUT = OUTPUTS_DIR / "deepeval_quality_scores.json"
MD_OUT = OUTPUTS_DIR / "deepeval_quality_scores.md"
DEEPEVAL_RETRY_SLEEP_SECONDS = 5
def read_text(path: Path) -> str:
if not path.exists():
raise FileNotFoundError(f"Missing file: {path}")
return path.read_text(encoding="utf-8")
def extract_result_ids_from_conjectures() -> list[str]:
result_ids = []
for path in sorted(CONJECTURES_DIR.glob("result_*_conjecture.md")):
match = re.search(r"(result_\d+)_conjecture\.md$", path.name)
if match:
result_ids.append(match.group(1))
return result_ids
def extract_formal_statement(conjecture_text: str, path: Path | None = None) -> str:
"""
Extract only the Formal Statement section from a generated conjecture file.
The current conjecture-generation prompt requires a '## Formal Statement'
section. If the model fails to follow the format, fall back to the full
file and print a warning so the evaluation can still run.
"""
match = re.search(
r"## Formal Statement\s*(.*?)(?=\n## |\Z)",
conjecture_text,
flags=re.DOTALL,
)
if match:
return match.group(1).strip()
label = f" in {path}" if path else ""
print(
f"WARNING: Could not find '## Formal Statement'{label}; using full file.",
flush=True,
)
return conjecture_text.strip()
def extract_source_theorem_from_map(theorem_map_text: str, result_id: str) -> str:
"""
Extract the source theorem statement for a result ID from theorem_map.md.
Robust to headings like:
### result_001
### `result_001`
### result_001: Theorem \\ref{central}
Robust to labels like:
- **Exact statement:** ...
- Exact statement: ...
- **Formal Statement:** ...
- Formal Statement: ...
"""
lines = theorem_map_text.splitlines()
# 1. Find the result section heading.
start = None
heading_re = re.compile(
rf"^###\s+`?{re.escape(result_id)}`?(?:\s*:.*)?\s*$",
flags=re.IGNORECASE,
)
for i, line in enumerate(lines):
if heading_re.match(line.strip()):
start = i + 1
break
if start is None:
raise ValueError(f"Could not find section for {result_id} in theorem_map.md")
# 2. Find the end of this result section.
end = len(lines)
next_result_re = re.compile(
r"^###\s+`?result_\d+`?(?:\s*:.*)?\s*$",
flags=re.IGNORECASE,
)
for i in range(start, len(lines)):
stripped = lines[i].strip()
if next_result_re.match(stripped) or stripped.startswith("## Summary") or stripped.startswith("## Final Summary"):
end = i
break
section_lines = lines[start:end]
# 3. Find a statement field.
statement_labels = {
"statement",
"statement (exact from paper)",
"exact statement",
"exact theorem statement",
"theorem statement",
"formal statement",
}
for i, line in enumerate(section_lines):
stripped = line.strip()
# Only consider Markdown bullet fields.
if not stripped.startswith("-"):
continue
field = stripped[1:].strip()
# Remove bold wrapping around the label, but not the value.
# Examples:
# **Exact statement:** Let ...
# Exact statement: Let ...
field = field.replace("**", "")
if ":" not in field:
continue
label, value = field.split(":", 1)
label = label.strip().lower()
value = value.strip()
if label not in statement_labels:
continue
statement_parts = []
if value:
statement_parts.append(value)
# Capture continuation lines until the next bullet or heading.
for continuation in section_lines[i + 1:]:
continuation_stripped = continuation.strip()
if continuation_stripped.startswith("- ") or continuation_stripped.startswith("### ") or continuation_stripped.startswith("## "):
break
if continuation_stripped:
statement_parts.append(continuation_stripped)
statement = "\n".join(statement_parts).strip()
# Remove markdown blockquote markers.
statement = re.sub(r"^\s*>\s?", "", statement, flags=re.MULTILINE).strip()
if statement:
return statement
raise ValueError(f"Could not find theorem statement for {result_id} in theorem_map.md")
def make_rcd_model():
api_key = os.environ.get("RCD_LLM_API_KEY")
if not api_key:
raise RuntimeError(
"RCD_LLM_API_KEY is not set. Run: "
'export RCD_LLM_API_KEY="$(cat ~/.secrets/rcd_llm_key)"'
)
return GPTModel(
model="gemma-4-31b",
api_key=api_key,
base_url="https://llm.rcd.clemson.edu/v1",
temperature=0,
)
def make_conjecture_quality_metric():
return GEval(
model=make_rcd_model(),
name="Conjecture Quality",
evaluation_steps=[
(
"Evaluate the actual output as a generated mathematical conjecture. "
"The goal is to assign a score based on the quality, relevance, and "
"mathematical usefulness of the conjecture."
),
(
"Use the input as the context that was provided to the conjecture-generating "
"model. Use the expected output as a theorem from a mathematics paper whose "
"preceding text was used to generate the conjecture. Use the actual output "
"as the generated conjecture being evaluated."
),
(
"First, compare the actual output to the expected output. Determine whether "
"the actual output is essentially the same as the expected theorem, a close "
"variant, a related generalization or specialization, loosely related, or "
"unrelated."
),
(
"Second, remove fluff. Ignore generic motivational language, vague claims "
"of importance, broad exposition, future-work language, and text that does "
"not assert a mathematical claim. Determine whether a clear mathematical "
"statement remains."
),
(
"Assess whether anything mathematically meaningful remains after removing "
"fluff. If the remaining content does not contain a clear mathematical "
"statement, assign a low score. If it appears to contain a potentially new "
"mathematical statement, continue evaluating it using the knownness, "
"simple-case plausibility, and relevance criteria below."
),
(
"Assess simple-case plausibility. Penalize statements that are internally "
"inconsistent, obviously false, missing necessary hypotheses, overgeneralized "
"in a way that would likely fail immediately, or likely to fail on the first "
"interesting example. Do not perform extensive computation; use basic "
"mathematical reasoning only."
),
(
"Assess knownness and novelty. A known result is less valuable as a new "
"conjecture than a plausible new statement. However, do not overly penalize "
"close recovery of the expected theorem: similarity to the expected theorem "
"is evidence that the output is mathematically meaningful, interesting, and "
"contextually relevant."
),
(
"Assess relevance to the expected theorem. Outputs close to the expected "
"theorem should generally receive higher scores. Outputs very different from "
"the expected theorem should often receive C-level scores if they contain "
"substantive mathematical content but are difficult to evaluate confidently."
),
(
"Assign a continuous score from 0 to 1 using this scale: "
"1.0 means A-level: clear, substantive, plausible, highly relevant, and "
"mathematically interesting; it closely recovers, usefully refines, or "
"interestingly extends the expected theorem. "
"0.75 means B-level: good mathematical conjecture; mostly clear, plausible, "
"and relevant, but less precise, less novel, or less strong than A. "
"0.5 means C-level: contains potentially interesting mathematical content, "
"but its relevance, novelty, precision, or plausibility is uncertain; this "
"includes many outputs that are quite different from the expected theorem "
"but not clearly bad. "
"0.25 means D-level: weak conjecture; little substance remains after removing "
"fluff, or the statement is vague, trivial, mostly known, poorly connected, "
"or mathematically imprecise. "
"0.0 means E-level: no usable conjecture; incoherent, unrelated, essentially "
"only fluff, or obviously false in simple cases."
),
(
"Use intermediate values when appropriate. For example, a score of 0.6 may "
"indicate an output between C and B, while a score of 0.9 may indicate a "
"very strong output that is slightly below ideal."
),
],
evaluation_params=[
LLMTestCaseParams.INPUT,
LLMTestCaseParams.ACTUAL_OUTPUT,
LLMTestCaseParams.EXPECTED_OUTPUT,
],
threshold=0.5,
)
def measure_with_retries(test_case: LLMTestCase, result_id: str) -> GEval:
"""
Run the DeepEval metric for one example, retrying the same example until it succeeds.
This is intentionally unbounded so transient DeepEval/model/API failures do not
cause the script to skip an example or move on prematurely.
"""
attempt = 1
while True:
try:
if attempt > 1:
print(f"Retrying {result_id} DeepEval call, attempt {attempt}...", flush=True)
conjecture_quality = make_conjecture_quality_metric()
conjecture_quality.measure(test_case)
return conjecture_quality
except Exception as exc:
print(
f"WARNING: DeepEval failed for {result_id} on attempt {attempt}: "
f"{type(exc).__name__}: {exc}",
flush=True,
)
attempt += 1
time.sleep(DEEPEVAL_RETRY_SLEEP_SECONDS)
def main():
OUTPUTS_DIR.mkdir(parents=True, exist_ok=True)
theorem_map_text = read_text(THEOREM_MAP)
result_ids = extract_result_ids_from_conjectures()
if not result_ids:
raise RuntimeError(f"No conjecture files found in {CONJECTURES_DIR}")
results = []
for result_id in result_ids:
conjecture_path = CONJECTURES_DIR / f"{result_id}_conjecture.md"
actual_full_text = read_text(conjecture_path)
actual_output = extract_formal_statement(actual_full_text, conjecture_path)
expected_output = extract_source_theorem_from_map(theorem_map_text, result_id)
judge_actual_output = actual_output[:12000]
judge_expected_output = expected_output[:8000]
print(f"Evaluating {result_id}...", flush=True)
print(f" actual chars: {len(actual_output)} -> judging {len(judge_actual_output)}", flush=True)
print(f" expected chars: {len(expected_output)} -> judging {len(judge_expected_output)}", flush=True)
test_case = LLMTestCase(
input=(
""
),
actual_output=judge_actual_output,
expected_output=judge_expected_output,
)
conjecture_quality = measure_with_retries(test_case, result_id)
results.append(
{
"result_id": result_id,
"conjecture_file": str(conjecture_path.relative_to(BASE_DIR)),
"expected_output": expected_output,
"actual_output": actual_output,
"conjecture_quality_score": conjecture_quality.score,
"conjecture_quality_reason": conjecture_quality.reason,
"passed": conjecture_quality.is_successful(),
}
)
JSON_OUT.write_text(json.dumps(results, indent=2), encoding="utf-8")
lines = [
"# DeepEval Conjecture Quality Scores",
"",
"| Result ID | Conjecture Quality Score | Passed? |",
"|---|---:|---|",
]
for row in results:
lines.append(
f"| {row['result_id']} | {row['conjecture_quality_score']:.3f} | {row['passed']} |"
)
lines.extend(["", "## Details", ""])
for row in results:
lines.extend(
[
f"### {row['result_id']}",
"",
f"**Score:** {row['conjecture_quality_score']:.3f}",
"",
f"**Passed:** {row['passed']}",
"",
row["conjecture_quality_reason"] or "No reason provided.",
"",
]
)
MD_OUT.write_text("\n".join(lines), encoding="utf-8")
print(f"Wrote {JSON_OUT}")
print(f"Wrote {MD_OUT}")
if __name__ == "__main__":
main()
|