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Comprehensive Benchmark Evaluation for MathSolver AI Core (Excluding Manim)
Evaluates all 165 questions from the National High School Exam Geometry Benchmark (2016-2026).
Model: Google Gemma 4 26B A4B (gemini/gemma-4-26b-a4b-it) in Low Thinking mode.
"""
from __future__ import annotations
import asyncio
import json
import logging
import os
import sys
import time
from pathlib import Path
from typing import Dict, Any, List, Optional
import numpy as np
# Suppress debug logs
logging.basicConfig(level=logging.WARNING)
logger = logging.getLogger(__name__)
sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), "..")))
from agents.geometry_parser_agent import GeometryParserAgent
from solver.dsl_parser import DSLParser
from solver.engine import GeometryEngine
from solver.validator import GeometryValidator
DATASET_PATH = os.path.abspath(
os.path.join(os.path.dirname(__file__), "../../research/geometry_dataset/all_geometry_questions.jsonl")
)
RESULTS_PATH = os.path.abspath(
os.path.join(os.path.dirname(__file__), "full_benchmark_gemma26b_results.json")
)
METRICS_PATH = os.path.abspath(
os.path.join(os.path.dirname(__file__), "full_benchmark_gemma26b_metrics.json")
)
SEMAPHORE_LIMIT = 3 # Concurrency limit across 10 API keys
async def evaluate_single_question(
q: Dict[str, Any],
parser_agent: GeometryParserAgent,
sem: asyncio.Semaphore,
progress_info: Dict[str, Any],
) -> Dict[str, Any]:
qid = q["id"]
year = q["year"]
topic = q.get("topic", "unknown")
subtopic = q.get("subtopic", "unknown")
difficulty = q.get("difficulty", "medium")
raw_text = q.get("raw_text", "").strip()
gt_answer = q.get("answer", "")
result: Dict[str, Any] = {
"id": qid,
"year": year,
"topic": topic,
"subtopic": subtopic,
"difficulty": difficulty,
"raw_text": raw_text,
"ground_truth_answer": gt_answer,
"stages": {},
"overall_status": "FAILED",
"failure_reason": None,
"total_latency_ms": 0.0,
}
async with sem:
# Stage 1: LLM Parsing -> Geometry DSL (Gemma 4 26B A4B Low Thinking)
t0 = time.time()
try:
parsed = await parser_agent.process(raw_text)
t_llm = (time.time() - t0) * 1000
dsl_text = parsed.get("geometry_dsl", "")
shape_type = parsed.get("type", "")
if not dsl_text:
raise ValueError("Empty DSL generated by parser")
result["stages"]["llm_parsing"] = {
"status": "OK",
"latency_ms": round(t_llm, 1),
"type": shape_type,
"dsl": dsl_text,
"entities": parsed.get("entities", []),
}
except Exception as e:
t_llm = (time.time() - t0) * 1000
result["stages"]["llm_parsing"] = {
"status": "ERROR",
"latency_ms": round(t_llm, 1),
"error": str(e),
}
result["overall_status"] = "PARSE_FAILED"
result["failure_reason"] = f"LLM parsing error: {e}"
result["total_latency_ms"] = round(t_llm, 1)
_log_progress(progress_info, qid, year, result)
return result
# Stage 2: DSL Parser / Compiler -> AST & Primitive Constraints
t0 = time.time()
try:
dsl_parser = DSLParser()
points, constraints, is_3d = dsl_parser.parse(dsl_text)
t_compile = (time.time() - t0) * 1000
result["stages"]["dsl_compiler"] = {
"status": "OK",
"latency_ms": round(t_compile, 1),
"num_points": len(points),
"num_constraints": len(constraints),
"is_3d": is_3d,
"point_ids": [p.id for p in points],
}
except Exception as e:
t_compile = (time.time() - t0) * 1000
result["stages"]["dsl_compiler"] = {
"status": "ERROR",
"latency_ms": round(t_compile, 1),
"error": str(e),
}
result["overall_status"] = "COMPILE_FAILED"
result["failure_reason"] = f"DSL syntax/compile error: {e}"
result["total_latency_ms"] = round(t_llm + t_compile, 1)
_log_progress(progress_info, qid, year, result)
return result
# Stage 3: GeometryEngine -> Numerical Coordinate Solving
t0 = time.time()
try:
engine = GeometryEngine()
solved_ir = engine.solve(points, constraints, is_3d=is_3d)
t_solve = (time.time() - t0) * 1000
if not solved_ir or not solved_ir.get("coordinates"):
raise ValueError("Engine returned empty coordinates")
coords = solved_ir.get("coordinates", {})
result["stages"]["geometry_engine"] = {
"status": "OK",
"latency_ms": round(t_solve, 1),
"num_coords": len(coords),
"coordinates": {k: [round(float(v), 4) for v in val] for k, val in coords.items()},
"num_faces": len(solved_ir.get("faces", [])),
"num_segments": len(solved_ir.get("segments", [])),
}
except Exception as e:
t_solve = (time.time() - t0) * 1000
result["stages"]["geometry_engine"] = {
"status": "ERROR",
"latency_ms": round(t_solve, 1),
"error": str(e),
}
result["overall_status"] = "SOLVE_FAILED"
result["failure_reason"] = f"GeometryEngine solve error: {e}"
result["total_latency_ms"] = round(t_llm + t_compile + t_solve, 1)
_log_progress(progress_info, qid, year, result)
return result
# Stage 4: GeometryValidator -> Invariant & Semantic Verification
t0 = time.time()
try:
validator = GeometryValidator()
val_res = validator.validate(solved_ir, constraints, is_3d=is_3d)
diag = val_res.to_dict()
t_val = (time.time() - t0) * 1000
is_valid = diag.get("is_valid", False)
result["stages"]["validation"] = {
"status": "OK" if is_valid else "WARNING",
"latency_ms": round(t_val, 1),
"is_valid": is_valid,
"checked_count": diag.get("checked_count", 0),
"error_count": len(diag.get("errors", [])),
"errors": diag.get("errors", []),
"warnings": diag.get("warnings", []),
}
if is_valid:
result["overall_status"] = "SUCCESS"
else:
result["overall_status"] = "SOLVED_WITH_WARNINGS"
result["failure_reason"] = f"Validator detected invariant violations: {diag.get('errors')[:2]}"
except Exception as e:
t_val = (time.time() - t0) * 1000
result["stages"]["validation"] = {
"status": "ERROR",
"latency_ms": round(t_val, 1),
"error": str(e),
}
result["overall_status"] = "VALIDATION_ERROR"
result["failure_reason"] = f"Validator error: {e}"
result["total_latency_ms"] = round(
t_llm + t_compile + t_solve + result["stages"]["validation"].get("latency_ms", 0), 1
)
_log_progress(progress_info, qid, year, result)
return result
def _log_progress(p: Dict[str, Any], qid: str, year: int, res: Dict[str, Any]):
p["completed"] += 1
st = res["overall_status"]
t_llm = res["stages"].get("llm_parsing", {}).get("latency_ms", 0)
t_eng = res["stages"].get("geometry_engine", {}).get("latency_ms", 0)
t_tot = res["total_latency_ms"]
icon = "✅" if st == "SUCCESS" else ("⚠️" if st == "SOLVED_WITH_WARNINGS" else "❌")
print(
f"[{p['completed']:3d}/{p['total']}] {icon} {year} | {qid[:24]:<24} | "
f"Status: {st:<20} | LLM: {t_llm:6.1f}ms | Eng: {t_eng:5.1f}ms | Total: {t_tot/1000:4.1f}s"
)
if res.get("failure_reason"):
print(f" ↳ Reason: {res['failure_reason'][:120]}")
def calculate_metrics(results: List[Dict[str, Any]]) -> Dict[str, Any]:
n = len(results)
if n == 0:
return {}
# Pipeline stage counts
parse_ok = sum(1 for r in results if r["stages"].get("llm_parsing", {}).get("status") == "OK")
compile_ok = sum(1 for r in results if r["stages"].get("dsl_compiler", {}).get("status") == "OK")
solve_ok = sum(1 for r in results if r["stages"].get("geometry_engine", {}).get("status") == "OK")
val_ok = sum(1 for r in results if r["stages"].get("validation", {}).get("is_valid") is True)
full_success = sum(1 for r in results if r["overall_status"] == "SUCCESS")
solved_any = sum(1 for r in results if r["overall_status"] in ("SUCCESS", "SOLVED_WITH_WARNINGS"))
# Latencies
llm_lats = [r["stages"]["llm_parsing"]["latency_ms"] for r in results if "llm_parsing" in r["stages"] and "latency_ms" in r["stages"]["llm_parsing"]]
comp_lats = [r["stages"]["dsl_compiler"]["latency_ms"] for r in results if "dsl_compiler" in r["stages"] and "latency_ms" in r["stages"]["dsl_compiler"]]
eng_lats = [r["stages"]["geometry_engine"]["latency_ms"] for r in results if "geometry_engine" in r["stages"] and "latency_ms" in r["stages"]["geometry_engine"]]
tot_lats = [r["total_latency_ms"] for r in results]
def lat_stats(arr):
if not arr:
return {}
a = np.array(arr)
return {
"mean_ms": round(float(np.mean(a)), 1),
"median_ms": round(float(np.median(a)), 1),
"p90_ms": round(float(np.percentile(a, 90)), 1),
"p95_ms": round(float(np.percentile(a, 95)), 1),
"min_ms": round(float(np.min(a)), 1),
"max_ms": round(float(np.max(a)), 1),
}
# Breakdown helper
def group_stats(key: str):
groups: Dict[str, List[Dict[str, Any]]] = {}
for r in results:
val = str(r.get(key, "unknown"))
groups.setdefault(val, []).append(r)
stat = {}
for g_name, g_items in sorted(groups.items()):
g_n = len(g_items)
g_parse = sum(1 for r in g_items if r["stages"].get("llm_parsing", {}).get("status") == "OK")
g_solve = sum(1 for r in g_items if r["stages"].get("geometry_engine", {}).get("status") == "OK")
g_success = sum(1 for r in g_items if r["overall_status"] == "SUCCESS")
stat[g_name] = {
"total": g_n,
"parse_rate_pct": round(g_parse / g_n * 100, 1),
"solve_rate_pct": round(g_solve / g_n * 100, 1),
"success_rate_pct": round(g_success / g_n * 100, 1),
}
return stat
# Top Failure reasons
failure_counts: Dict[str, int] = {}
for r in results:
reason = r.get("failure_reason")
if reason:
# categorize
cat = "Other"
if "DSL syntax" in reason or "compile error" in reason:
cat = "DSL Compilation Syntax Error"
elif "Empty DSL" in reason or "LLM parsing" in reason:
cat = "LLM Generation Failure"
elif "Engine returned empty" in reason or "solve error" in reason:
cat = "Engine Constraint Solver Error"
elif "Validator detected" in reason:
cat = "Geometric Invariant Warning"
failure_counts[cat] = failure_counts.get(cat, 0) + 1
return {
"total_questions": n,
"summary": {
"llm_parse_success_count": parse_ok,
"llm_parse_success_rate_pct": round(parse_ok / n * 100, 2),
"dsl_compiler_success_count": compile_ok,
"dsl_compiler_success_rate_pct": round(compile_ok / n * 100, 2),
"geometry_engine_solve_count": solve_ok,
"geometry_engine_solve_rate_pct": round(solve_ok / n * 100, 2),
"geometry_validator_pass_count": val_ok,
"geometry_validator_pass_rate_pct": round(val_ok / n * 100, 2),
"full_pipeline_success_count": full_success,
"full_pipeline_success_rate_pct": round(full_success / n * 100, 2),
"solved_any_rate_pct": round(solved_any / n * 100, 2),
},
"latency_stats": {
"llm_parsing": lat_stats(llm_lats),
"dsl_compiler": lat_stats(comp_lats),
"geometry_engine": lat_stats(eng_lats),
"total_core": lat_stats(tot_lats),
},
"by_topic": group_stats("topic"),
"by_difficulty": group_stats("difficulty"),
"by_year": group_stats("year"),
"failure_categories": failure_counts,
}
async def main():
print(f"=== STARTING FULL BENCHMARK EVALUATION (N=165) ===")
print(f"Model: Google Gemma 4 26B A4B (gemini/gemma-4-26b-a4b-it) Low Thinking")
print(f"Pipeline: Natural Text -> GeometryParserAgent -> DSLParser -> GeometryEngine -> GeometryValidator")
print(f"Excluding: Manim Video Rendering (AI Core only)\n")
with open(DATASET_PATH, "r", encoding="utf-8") as f:
questions = [json.loads(line) for line in f]
print(f"Loaded {len(questions)} questions from {DATASET_PATH}")
assert len(questions) == 165
# Check for existing partial results to enable resume
existing_results: Dict[str, Dict[str, Any]] = {}
if os.path.exists(RESULTS_PATH):
try:
with open(RESULTS_PATH, "r", encoding="utf-8") as f:
loaded = json.load(f)
if isinstance(loaded, list):
for item in loaded:
if "id" in item:
existing_results[item["id"]] = item
print(f"[*] Found {len(existing_results)} existing results in {RESULTS_PATH}. Resuming...")
except Exception as e:
print(f"[*] Could not load existing results: {e}. Starting fresh.")
results_dict: Dict[str, Dict[str, Any]] = dict(existing_results)
# Filter remaining questions (including questions that failed earlier due to rate limit)
remaining_questions = [
q for q in questions
if q["id"] not in results_dict or results_dict[q["id"]].get("overall_status") == "PARSE_FAILED"
]
# Keep already successful/solved results
valid_existing = {k: v for k, v in results_dict.items() if v.get("overall_status") != "PARSE_FAILED"}
results_dict = dict(valid_existing)
print(f"[*] Already solved/evaluated: {len(results_dict)} questions.")
print(f"[*] Remaining questions to evaluate: {len(remaining_questions)} / {len(questions)}")
parser_agent = GeometryParserAgent()
sem = asyncio.Semaphore(2) # Controlled concurrency of 2
progress = {"completed": len(results_dict), "total": len(questions)}
results_lock = asyncio.Lock()
async def wrapped_eval(q):
try:
res = await evaluate_single_question(q, parser_agent, sem, progress)
async with results_lock:
results_dict[q["id"]] = res
# Save checkpoint on every completion
with open(RESULTS_PATH, "w", encoding="utf-8") as f_out:
ordered = [results_dict.get(orig["id"]) for orig in questions if orig["id"] in results_dict]
json.dump(ordered, f_out, ensure_ascii=False, indent=2)
except Exception as err:
logger.error(f"Error in wrapped_eval for {q.get('id')}: {err}", exc_info=True)
print(f"Error in wrapped_eval for {q.get('id')}: {err}")
start_time = time.time()
if remaining_questions:
running_tasks = []
for q in remaining_questions:
t = asyncio.create_task(wrapped_eval(q))
running_tasks.append(t)
await asyncio.sleep(2.5) # 2.5s stagger ensures 25s per-key interval across 10 API keys
await asyncio.gather(*running_tasks)
total_time = time.time() - start_time
print(f"\n========================================================")
print(f"EVALUATION COMPLETE IN {total_time:.1f}s ({total_time/60:.2f} min)")
# Final ordered list
results = [results_dict[orig["id"]] for orig in questions if orig["id"] in results_dict]
# Save final results
with open(RESULTS_PATH, "w", encoding="utf-8") as f:
json.dump(results, f, ensure_ascii=False, indent=2)
print(f"Saved detailed results to {RESULTS_PATH}")
# Calculate metrics
metrics = calculate_metrics(results)
with open(METRICS_PATH, "w", encoding="utf-8") as f:
json.dump(metrics, f, ensure_ascii=False, indent=2)
print(f"Saved metrics summary to {METRICS_PATH}")
# Pretty print summary
s = metrics["summary"]
print("\n================== BENCHMARK METRICS SUMMARY ==================")
print(f"Total Questions Evaluated: {metrics['total_questions']}")
print(f"1. LLM DSL Parse Success Rate: {s['llm_parse_success_count']}/{metrics['total_questions']} ({s['llm_parse_success_rate_pct']}%)")
print(f"2. DSL Syntax Compile Rate: {s['dsl_compiler_success_count']}/{metrics['total_questions']} ({s['dsl_compiler_success_rate_pct']}%)")
print(f"3. Geometry Engine Solve Rate: {s['geometry_engine_solve_count']}/{metrics['total_questions']} ({s['geometry_engine_solve_rate_pct']}%)")
print(f"4. Validator Strict Invariant Rate:{s['geometry_validator_pass_count']}/{metrics['total_questions']} ({s['geometry_validator_pass_rate_pct']}%)")
print(f"5. End-to-End Strict Core Success: {s['full_pipeline_success_count']}/{metrics['total_questions']} ({s['full_pipeline_success_rate_pct']}%)")
print(f"6. End-to-End Solved Coordinates: {s['geometry_engine_solve_count']}/{metrics['total_questions']} ({s['solved_any_rate_pct']}%)")
print("\n--- Latency Breakdown (Mean / Median / P95) ---")
llm_lat = metrics["latency_stats"]["llm_parsing"]
eng_lat = metrics["latency_stats"]["geometry_engine"]
print(f"LLM Parsing (Gemma 4 26B): Mean={llm_lat.get('mean_ms')}ms | Median={llm_lat.get('median_ms')}ms | P95={llm_lat.get('p95_ms')}ms")
print(f"GeometryEngine: Mean={eng_lat.get('mean_ms')}ms | Median={eng_lat.get('median_ms')}ms | P95={eng_lat.get('p95_ms')}ms")
print("\n--- By Topic ---")
for top, stat in metrics["by_topic"].items():
print(f" * {top:<20}: Solve Rate={stat['solve_rate_pct']:5.1f}% | Full Strict Success={stat['success_rate_pct']:5.1f}% (N={stat['total']})")
print("\n--- By Difficulty ---")
for diff, stat in metrics["by_difficulty"].items():
print(f" * {diff:<10}: Solve Rate={stat['solve_rate_pct']:5.1f}% | Full Strict Success={stat['success_rate_pct']:5.1f}% (N={stat['total']})")
print("\n--- Top Failure Categories ---")
for cat, count in metrics["failure_categories"].items():
print(f" * {cat}: {count}")
if __name__ == "__main__":
asyncio.run(main())
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