""" Comparative Evaluation: Tool-Assisted (MathSolver Core) vs No-Tool (Pure LLM) Benchmark: 165 Geometry Questions (2016-2026 National Exams) Model: Google Gemma 4 26B A4B MoE (gemini/gemma-4-26b-a4b-it) in Low Thinking mode. Metrics Evaluated: 1. Math Answer Accuracy (% exact/symbolic math match with ground_truth_answer) 2. Geometry Constraint Satisfaction Rate (CSR % against GT verification_conditions) 3. Strict Geometric Validity (% passed GeometryValidator with 0 errors) 4. Oxyz Coordinate Error (MAE / MSE against canonical_coordinates) 5. Latency Distribution (Mean, Median, P95) """ from __future__ import annotations import asyncio import json import logging import math import os import re import sys import time from typing import Dict, Any, List, Optional, Tuple import numpy as np import sympy as sp from sympy.parsing.sympy_parser import parse_expr logging.basicConfig(level=logging.WARNING) logger = logging.getLogger(__name__) sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), ".."))) from llm.service import get_llm_service from agents.deepmath_solver_agent import DeepMathSolverAgent from solver.dsl_parser import DSLParser from solver.engine import GeometryEngine from solver.validator import GeometryValidator from solver.models import Point, Constraint DATASET_PATH = os.path.abspath( os.path.join(os.path.dirname(__file__), "../../research/geometry_dataset/all_geometry_questions.jsonl") ) TOOL_GEOM_RESULTS_PATH = os.path.abspath( os.path.join(os.path.dirname(__file__), "full_benchmark_gemma26b_results.json") ) OUTPUT_RESULTS_PATH = os.path.abspath( os.path.join(os.path.dirname(__file__), "benchmark_tool_vs_notool_results.json") ) OUTPUT_METRICS_PATH = os.path.abspath( os.path.join(os.path.dirname(__file__), "benchmark_tool_vs_notool_metrics.json") ) SEMAPHORE_LIMIT = 4 MODEL_NAME = "gemini/gemma-4-26b-a4b-it" def normalize_str(s: str) -> str: if not s: return "" s = str(s).strip().lower() s = s.replace(";", ",").replace("°", "").replace("degrees", "") s = re.sub(r"\s+", "", s) return s def check_line_equivalence(s1: str, s2: str) -> bool: """Checks whether two 3D line representations (symmetric or parametric) are mathematically equivalent.""" try: def get_dir(s: str) -> Optional[List[float]]: # 1. Parametric: x = x0 + at, y = y0 + bt, z = z0 + ct t_coeffs = re.findall(r"([-+]?\s*\d*)t", s) if t_coeffs and len(t_coeffs) == 3: res = [] for c in t_coeffs: c = c.replace(" ", "") if c in ("", "+"): res.append(1.0) elif c == "-": res.append(-1.0) else: res.append(float(c)) return res # 2. LaTeX fraction denominators: \frac{...}{denom} frac_denoms = re.findall(r"frac\{[^{}]*\}\{([-+]?\d+)\}", s) if len(frac_denoms) == 3: return [float(d) for d in frac_denoms] # 3. Standard slash denominators: / denom denoms = re.findall(r"/\s*\(?([-+]?\d+)\)?", s) if len(denoms) == 3: return [float(d) for d in denoms] elif len(denoms) == 2: return [1.0, float(denoms[0]), float(denoms[1])] return None d1 = get_dir(s1) d2 = get_dir(s2) if d1 and d2: ratios = [a / b if b != 0 else (999 if a != 0 else 0) for a, b in zip(d1, d2)] if abs(ratios[0] - ratios[1]) < 1e-3 and abs(ratios[1] - ratios[2]) < 1e-3 and abs(ratios[0]) > 1e-3: return True except Exception: pass return False def match_answer(pred: str, gt: str) -> bool: """Robust multi-tier mathematical answer equivalence checker.""" if not pred or not gt: return False norm_p = normalize_str(pred) norm_g = normalize_str(gt) if norm_p == norm_g: return True # Check 3D line equivalence (symmetric vs parametric) if check_line_equivalence(pred, gt): return True # Check substring containment for complex multi-part answers (e.g. (P) and H) if len(norm_p) >= 3 and (norm_p in norm_g or norm_g in norm_p): return True val_p = norm_p.split("=")[-1].split(":")[-1] val_g = norm_g.split("=")[-1].split(":")[-1] if val_p == val_g: return True # Numeric float comparison try: num_p = float(re.sub(r"[^\d.-]", "", val_p)) num_g = float(re.sub(r"[^\d.-]", "", val_g)) if abs(num_p - num_g) < 1e-3: return True except Exception: pass # Coordinate tuples extraction (e.g. (1, 1, 6) vs (1, 1, 6)) m_p = re.findall(r"[-+]?\d*\.?\d+", val_p) m_g = re.findall(r"[-+]?\d*\.?\d+", val_g) if m_p and m_g and len(m_p) == len(m_g) and len(m_p) >= 2: try: if all(abs(float(a) - float(b)) < 1e-3 for a, b in zip(m_p, m_g)): return True except Exception: pass # SymPy symbolic equivalence with positive variable assumption (for volume parameters) try: sym_scope = { "a": sp.Symbol("a", positive=True), "b": sp.Symbol("b", positive=True), "c": sp.Symbol("c", positive=True), "pi": sp.pi, "sqrt": sp.sqrt, "sp": sp, } clean_p = val_p.replace("^", "**").replace(r"\sqrt", "sqrt").replace(r"\pi", "pi") clean_g = val_g.replace("^", "**").replace(r"\sqrt", "sqrt").replace(r"\pi", "pi").replace("v=", "").replace("r=", "").replace("s=", "") sym_p = parse_expr(clean_p, local_dict=sym_scope) sym_g = parse_expr(clean_g, local_dict=sym_scope) diff = sp.simplify(sym_p - sym_g) if diff == 0: return True except Exception: pass return False def parse_coord_val(val: Any) -> Optional[float]: if isinstance(val, (int, float)): return float(val) if isinstance(val, str): val = val.strip() try: return float(val) except ValueError: try: res = sp.sympify(val) return float(res.evalf()) except Exception: return None return None def evaluate_coordinates( pred_coords: Dict[str, Any], geom_gt: Dict[str, Any], is_3d: bool = True, ) -> Dict[str, Any]: """Validates predicted coordinates against GT verification conditions and canonical coordinates.""" if not pred_coords or not isinstance(pred_coords, dict): return { "is_valid": False, "checked_count": 0, "error_count": 0, "csr_pct": 0.0, "oxyz_mae": None, "oxyz_mse": None, "errors": ["No coordinates provided"], } # Clean coordinates to float lists of length 3 cleaned_coords: Dict[str, List[float]] = {} # Check if format is {"x": ..., "y": ..., "z": ...} for a single target point if all(k in pred_coords for k in ["x", "y"]): target_pts = geom_gt.get("required_objects", {}).get("points", ["A"]) target_name = target_pts[0] if target_pts else "P" vals = [parse_coord_val(pred_coords.get("x")), parse_coord_val(pred_coords.get("y")), parse_coord_val(pred_coords.get("z", 0.0))] if all(v is not None for v in vals): cleaned_coords[target_name] = [vals[0], vals[1], vals[2] or 0.0] for k, v in pred_coords.items(): if k in ["x", "y", "z"]: continue pt_name = str(k).strip() if isinstance(v, (list, tuple)) and len(v) >= 2: vals = [parse_coord_val(x) for x in v] if all(x is not None for x in vals[:3]): if len(vals) == 2: vals.append(0.0) cleaned_coords[pt_name] = vals[:3] elif isinstance(v, dict) and "x" in v and "y" in v: vals = [parse_coord_val(v.get("x")), parse_coord_val(v.get("y")), parse_coord_val(v.get("z", 0.0))] if all(x is not None for x in vals): cleaned_coords[pt_name] = [vals[0], vals[1], vals[2] or 0.0] if not cleaned_coords: return { "is_valid": False, "checked_count": 0, "error_count": 0, "csr_pct": 0.0, "oxyz_mae": None, "oxyz_mse": None, "errors": ["Failed to parse numerical coordinates"], } # Reconstruct constraints from verification_conditions v_conditions = geom_gt.get("verification_conditions", []) constraints: List[Constraint] = [] for c in v_conditions: constraints.append( Constraint( type=c.get("type", "length"), targets=c.get("targets", []), value=c.get("value", 0.0), ) ) # Run GeometryValidator solved_ir = { "coordinates": cleaned_coords, "segments": [], "faces": [], } validator = GeometryValidator() val_res = validator.validate(solved_ir, constraints, is_3d=is_3d) checked_count = val_res.checked_count error_count = len(val_res.errors) csr_pct = 100.0 if checked_count > 0: csr_pct = round(max(0.0, (checked_count - error_count) / checked_count * 100.0), 1) # Compute Oxyz coordinate error if canonical coordinates exist canon_coords = geom_gt.get("canonical_coordinates", {}) common_pts = [p for p in canon_coords if p in cleaned_coords] oxyz_mae = None oxyz_mse = None if common_pts: dists = [] for p in common_pts: c_pred = np.array(cleaned_coords[p]) c_gt = np.array(canon_coords[p]) dists.append(float(np.linalg.norm(c_pred - c_gt))) oxyz_mae = round(float(np.mean(dists)), 4) oxyz_mse = round(float(np.mean([d ** 2 for d in dists])), 4) return { "is_valid": val_res.is_valid, "checked_count": checked_count, "error_count": error_count, "csr_pct": csr_pct, "oxyz_mae": oxyz_mae, "oxyz_mse": oxyz_mse, "errors": val_res.errors[:3], } def parse_notool_json(raw: str) -> Tuple[Optional[str], Dict[str, Any]]: """Extracts final_answer and coordinates from No-Tool raw LLM response.""" if not raw or not isinstance(raw, str): return None, {} cleaned = raw.strip() m = re.search(r"```(?:json)?(.*?)```", cleaned, re.DOTALL) if m: cleaned = m.group(1).strip() else: m2 = re.search(r"(\{.*\})", cleaned, re.DOTALL) if m2: cleaned = m2.group(1).strip() safe_dict = { "__builtins__": None, "math": math, "sqrt": math.sqrt, "pi": math.pi, "true": True, "false": False, "null": None, } data = None try: data = json.loads(cleaned) except Exception: try: data = eval(cleaned, safe_dict, {}) except Exception: data = None ans = None coords = {} if isinstance(data, dict): for k in ["final_answer", "answer", "result", "dap_an", "ket_qua"]: if k in data and data[k]: ans = str(data[k]).strip() break for ck in ["coordinates", "toado", "points", "toa_do"]: if ck in data and isinstance(data[ck], dict): coords = data[ck] break # Regex fallbacks if not found if not ans: ans_m = re.search(r'"(?:final_answer|answer|result|dap_an)"\s*:\s*"([^"]+)"', raw) if ans_m: ans = ans_m.group(1).strip() if not coords: coords_m = re.search(r'"(?:coordinates|toado|points)"\s*:\s*(\{[^{}]*?(?:\{[^{}]*?\}[^{}]*?)*\})', raw, re.DOTALL) if coords_m: try: coords = eval(coords_m.group(1), safe_dict, {}) except Exception: pass return ans, coords async def evaluate_single_question( q: Dict[str, Any], tool_geom_cache: Dict[str, Any], llm_svc: Any, solver_agent: DeepMathSolverAgent, sem: asyncio.Semaphore, progress: Dict[str, Any], ) -> Dict[str, Any]: qid = q["id"] year = q["year"] topic = q["topic"] subtopic = q.get("subtopic", "") difficulty = q.get("difficulty", "medium") raw_text = q.get("raw_text", "").strip() gt_answer = q.get("answer", "").strip() geom_gt = q.get("ground_truth_geometry", {}) result: Dict[str, Any] = { "id": qid, "year": year, "topic": topic, "subtopic": subtopic, "difficulty": difficulty, "raw_text": raw_text, "ground_truth_answer": gt_answer, "no_tool": {}, "tool": {}, } async with sem: async def run_notool(): notool_prompt = f"""Bạn là một chuyên gia toán hình học. Hãy giải bài toán hình học sau ĐỘC LẬP (tuyệt đối không dùng tool, code hay công cụ ngoài). YÊU CẦU: Giải thật NGẮN GỌN, đi thẳng vào kết quả và toạ độ. Trả về DUY NHẤT một khối JSON hợp lệ theo đúng cấu trúc sau (không kèm văn bản giải thích thừa ngoài JSON): {{ "final_answer": "<đáp án toán học cuối cùng: số, phân số, phương trình mp/đt, toạ độ điểm>", "coordinates": {{ "A": [x, y, z], "B": [x, y, z] }} }} Đề bài: {raw_text}""" t0 = time.time() try: notool_raw = await llm_svc.acomplete( model=MODEL_NAME, messages=[{"role": "user", "content": notool_prompt}], temperature=0.1, max_tokens=3072, timeout=150, reasoning_effort="low", thinking_budget=0, ) t_notool = round((time.time() - t0) * 1000, 1) notool_ans, notool_coords = parse_notool_json(notool_raw) notool_ans_match = match_answer(notool_ans or "", gt_answer) notool_geom_eval = evaluate_coordinates(notool_coords, geom_gt, is_3d=True) result["no_tool"] = { "status": "OK", "latency_ms": t_notool, "predicted_answer": notool_ans, "answer_match": notool_ans_match, "predicted_coordinates": notool_coords, "geometry_eval": notool_geom_eval, } except Exception as e: t_notool = round((time.time() - t0) * 1000, 1) result["no_tool"] = { "status": "ERROR", "latency_ms": t_notool, "error": str(e), "answer_match": False, "geometry_eval": {"is_valid": False, "csr_pct": 0.0}, } async def run_tool(): t0 = time.time() try: # 2a. Solve math answer using DeepMathSolverAgent with SymPy sandbox execution solver_res = await solver_agent.solve(problem_text=raw_text) t_tool_math = round((time.time() - t0) * 1000, 1) tool_ans = solver_res.get("answer") or "" tool_ans_match = match_answer(tool_ans, gt_answer) # 2b. Retrieve / Validate Tool Geometry from MathSolver Core Benchmark cached_geom = tool_geom_cache.get(qid, {}) tool_geom_stages = cached_geom.get("stages", {}) engine_stage = tool_geom_stages.get("geometry_engine", {}) val_stage = tool_geom_stages.get("validation", {}) tool_coords = engine_stage.get("coordinates", {}) tool_geom_eval = evaluate_coordinates(tool_coords, geom_gt, is_3d=True) result["tool"] = { "status": "OK", "latency_ms": t_tool_math + engine_stage.get("latency_ms", 0.0), "math_latency_ms": t_tool_math, "engine_latency_ms": engine_stage.get("latency_ms", 0.0), "predicted_answer": tool_ans, "answer_match": tool_ans_match, "predicted_coordinates": tool_coords, "geometry_eval": tool_geom_eval, } except Exception as e: t_tool = round((time.time() - t0) * 1000, 1) result["tool"] = { "status": "ERROR", "latency_ms": t_tool, "error": str(e), "answer_match": False, "geometry_eval": {"is_valid": False, "csr_pct": 0.0}, } await asyncio.gather(run_notool(), run_tool()) progress["completed"] += 1 _log_comparison(progress, qid, year, result) return result def _log_comparison(p: Dict[str, Any], qid: str, year: int, res: Dict[str, Any]): nt = res["no_tool"] tl = res["tool"] nt_ans_icon = "🎯" if nt.get("answer_match") else "❌" tl_ans_icon = "🎯" if tl.get("answer_match") else "❌" nt_geo_icon = "📐" if nt.get("geometry_eval", {}).get("is_valid") else "⚠️" tl_geo_icon = "📐" if tl.get("geometry_eval", {}).get("is_valid") else "⚠️" print( f"[{p['completed']:3d}/{p['total']}] {year} | {qid[:22]:<22} | " f"NoTool: Ans {nt_ans_icon} Geo {nt_geo_icon} (CSR: {nt.get('geometry_eval', {}).get('csr_pct', 0.0):5.1f}%) | " f"Tool: Ans {tl_ans_icon} Geo {tl_geo_icon} (CSR: {tl.get('geometry_eval', {}).get('csr_pct', 0.0):5.1f}%)" ) def calculate_metrics(results: List[Dict[str, Any]]) -> Dict[str, Any]: n = len(results) if n == 0: return {} # 1. Answer Accuracy notool_ans_correct = sum(1 for r in results if r.get("no_tool", {}).get("answer_match")) tool_ans_correct = sum(1 for r in results if r.get("tool", {}).get("answer_match")) # 2. Geometry Strict Validity notool_geo_valid = sum(1 for r in results if r.get("no_tool", {}).get("geometry_eval", {}).get("is_valid")) tool_geo_valid = sum(1 for r in results if r.get("tool", {}).get("geometry_eval", {}).get("is_valid")) # 3. Constraint Satisfaction Rates notool_csrs = [r.get("no_tool", {}).get("geometry_eval", {}).get("csr_pct", 0.0) for r in results] tool_csrs = [r.get("tool", {}).get("geometry_eval", {}).get("csr_pct", 0.0) for r in results] # 4. Oxyz Coordinate MAE notool_maes = [ r["no_tool"]["geometry_eval"]["oxyz_mae"] for r in results if r.get("topic") == "oxyz" and r.get("no_tool", {}).get("geometry_eval", {}).get("oxyz_mae") is not None ] tool_maes = [ r["tool"]["geometry_eval"]["oxyz_mae"] for r in results if r.get("topic") == "oxyz" and r.get("tool", {}).get("geometry_eval", {}).get("oxyz_mae") is not None ] # 5. Latency Stats notool_lats = [r["no_tool"]["latency_ms"] for r in results if "latency_ms" in r.get("no_tool", {})] tool_lats = [r["tool"]["latency_ms"] for r in results if "latency_ms" in r.get("tool", {})] def lat_summary(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), "p95_ms": round(float(np.percentile(a, 95)), 1), } # Breakdown by topic topics = sorted(list(set(r.get("topic", "unknown") for r in results))) by_topic = {} for t in topics: t_items = [r for r in results if r.get("topic") == t] t_n = len(t_items) by_topic[t] = { "total": t_n, "notool_math_acc_pct": round(sum(1 for r in t_items if r["no_tool"].get("answer_match")) / t_n * 100, 1), "tool_math_acc_pct": round(sum(1 for r in t_items if r["tool"].get("answer_match")) / t_n * 100, 1), "notool_geo_valid_pct": round(sum(1 for r in t_items if r["no_tool"].get("geometry_eval", {}).get("is_valid")) / t_n * 100, 1), "tool_geo_valid_pct": round(sum(1 for r in t_items if r["tool"].get("geometry_eval", {}).get("is_valid")) / t_n * 100, 1), "notool_avg_csr_pct": round(float(np.mean([r["no_tool"].get("geometry_eval", {}).get("csr_pct", 0.0) for r in t_items])), 1), "tool_avg_csr_pct": round(float(np.mean([r["tool"].get("geometry_eval", {}).get("csr_pct", 0.0) for r in t_items])), 1), } return { "total_questions": n, "summary": { "no_tool": { "math_accuracy_count": notool_ans_correct, "math_accuracy_pct": round(notool_ans_correct / n * 100, 2), "geometric_validity_count": notool_geo_valid, "geometric_validity_pct": round(notool_geo_valid / n * 100, 2), "avg_constraint_satisfaction_pct": round(float(np.mean(notool_csrs)), 2), "oxyz_coordinate_mae": round(float(np.mean(notool_maes)), 4) if notool_maes else None, "latency": lat_summary(notool_lats), }, "tool": { "math_accuracy_count": tool_ans_correct, "math_accuracy_pct": round(tool_ans_correct / n * 100, 2), "geometric_validity_count": tool_geo_valid, "geometric_validity_pct": round(tool_geo_valid / n * 100, 2), "avg_constraint_satisfaction_pct": round(float(np.mean(tool_csrs)), 2), "oxyz_coordinate_mae": round(float(np.mean(tool_maes)), 4) if tool_maes else None, "latency": lat_summary(tool_lats), }, }, "by_topic": by_topic, } async def main(): import argparse parser = argparse.ArgumentParser() parser.add_argument("--limit", type=int, default=None, help="Number of questions to evaluate") parser.add_argument("--start-idx", type=int, default=0, help="Starting question index") parser.add_argument("--concurrency", type=int, default=1, help="Concurrency limit") parser.add_argument("--output-results", type=str, default=None, help="Output results path") parser.add_argument("--output-metrics", type=str, default=None, help="Output metrics path") args, _ = parser.parse_known_args() results_path = os.path.abspath(args.output_results) if args.output_results else OUTPUT_RESULTS_PATH metrics_path = os.path.abspath(args.output_metrics) if args.output_metrics else OUTPUT_METRICS_PATH sem_limit = args.concurrency with open(DATASET_PATH, "r", encoding="utf-8") as f: all_questions = [json.loads(l) for l in f] if args.limit is not None: target_questions = all_questions[args.start_idx : args.start_idx + args.limit] else: target_questions = all_questions print(f"=== COMPARATIVE BENCHMARK: TOOL vs NO-TOOL (N={len(target_questions)}) ===") print(f"Model: {MODEL_NAME} Low Thinking (budget=0)") print(f"Dataset: {DATASET_PATH}") print(f"Concurrency: {sem_limit}, Results Path: {results_path}\n") # Load tool geometry cache tool_geom_cache: Dict[str, Any] = {} if os.path.exists(TOOL_GEOM_RESULTS_PATH): with open(TOOL_GEOM_RESULTS_PATH, "r", encoding="utf-8") as f: t_items = json.load(f) for item in t_items: if "id" in item: tool_geom_cache[item["id"]] = item print(f"Loaded {len(tool_geom_cache)} tool geometry records from cache.") # Check for existing comparative results for resumption results_dict: 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) for item in loaded: if "id" in item and item.get("no_tool", {}).get("status") == "OK": results_dict[item["id"]] = item print(f"Found {len(results_dict)} existing completed records. Resuming...") except Exception: pass remaining_questions = [q for q in target_questions if q["id"] not in results_dict] print(f"Remaining questions to evaluate: {len(remaining_questions)} / {len(target_questions)}") llm_svc = get_llm_service() solver_agent = DeepMathSolverAgent() sem = asyncio.Semaphore(sem_limit) progress = {"completed": len(results_dict), "total": len(target_questions)} results_lock = asyncio.Lock() async def wrapped_eval(q): try: res = await evaluate_single_question(q, tool_geom_cache, llm_svc, solver_agent, sem, progress) async with results_lock: results_dict[q["id"]] = res with open(results_path, "w", encoding="utf-8") as f_out: ordered = [results_dict.get(orig["id"]) for orig in target_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 evaluating {q.get('id')}: {err}", exc_info=True) print(f"Error evaluating {q.get('id')}: {err}") t_start = time.time() if remaining_questions: tasks = [] for q in remaining_questions: t = asyncio.create_task(wrapped_eval(q)) tasks.append(t) await asyncio.sleep(1.0) await asyncio.gather(*tasks) total_time = time.time() - t_start print(f"\n========================================================") print(f"EVALUATION COMPLETE IN {total_time:.1f}s ({total_time/60:.2f} min)") ordered_results = [results_dict[orig["id"]] for orig in target_questions if orig["id"] in results_dict] metrics = calculate_metrics(ordered_results) with open(metrics_path, "w", encoding="utf-8") as f: json.dump(metrics, f, ensure_ascii=False, indent=2) print(f"Saved comparative metrics to {metrics_path}") # Pretty print summary table s = metrics["summary"] nt_s = s["no_tool"] tl_s = s["tool"] print("\n================== TOOL vs NO-TOOL COMPARISON ==================") print(f"{'Metric':<35} | {'No-Tool (Pure LLM)':<20} | {'Tool (MathSolver)':<20}") print("-" * 80) print(f"{'Math Answer Accuracy':<35} | {nt_s['math_accuracy_count']}/{metrics['total_questions']} ({nt_s['math_accuracy_pct']}%) | {tl_s['math_accuracy_count']}/{metrics['total_questions']} ({tl_s['math_accuracy_pct']}%)") print(f"{'Strict Geometric Validity (0 err)':<35} | {nt_s['geometric_validity_count']}/{metrics['total_questions']} ({nt_s['geometric_validity_pct']}%) | {tl_s['geometric_validity_count']}/{metrics['total_questions']} ({tl_s['geometric_validity_pct']}%)") print(f"{'Avg Constraint Satisfaction (CSR)':<35} | {nt_s['avg_constraint_satisfaction_pct']:>18.1f}% | {tl_s['avg_constraint_satisfaction_pct']:>18.1f}%") print(f"{'Oxyz Coordinate MAE (lower better)':<35} | {str(nt_s['oxyz_coordinate_mae']):>19} | {str(tl_s['oxyz_coordinate_mae']):>19}") print(f"{'Median Latency':<35} | {nt_s['latency'].get('median_ms', 0):>17.1f}ms | {tl_s['latency'].get('median_ms', 0):>17.1f}ms") print("\n--- Breakdown By Topic ---") for top, stat in metrics["by_topic"].items(): print(f" * {top:<16} | Math Acc: NoTool={stat['notool_math_acc_pct']:5.1f}% vs Tool={stat['tool_math_acc_pct']:5.1f}% | CSR: NoTool={stat['notool_avg_csr_pct']:5.1f}% vs Tool={stat['tool_avg_csr_pct']:5.1f}% (N={stat['total']})") if __name__ == "__main__": asyncio.run(main())