math-solver / scripts /test_compare_external_agents.py
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import os
import sys
import time
import json
import re
import traceback
from typing import Dict, Any, List
from openai import OpenAI
import sympy as sp
API_KEY = os.getenv("GOOGLE_API_KEY", "")
BASE_URL = os.getenv("LLM_BASE_URL", "https://generativelanguage.googleapis.com/v1beta/openai/")
MODEL = os.getenv("LLM_MODEL", "gemma-4-31b-it")
client = OpenAI(
api_key=API_KEY,
base_url=BASE_URL,
timeout=60.0,
)
TEST_PROBLEMS = [
{
"id": "case_1_easy",
"name": "Hình chóp tứ giác đều (Easy)",
"question": "Cho hình chóp S.ABCD có đáy ABCD là hình vuông cạnh 10. Chiều cao SO vuông góc với đáy tại tâm O, SO=15. Tính thể tích khối chóp S.ABCD.",
"expected": "500",
},
{
"id": "case_2_medium",
"name": "Hình chóp tam giác đều (Medium)",
"question": "Cho hình chóp tam giác đều S.ABC có cạnh đáy bằng 6, chiều cao SO = 8 vuông góc với đáy tại trọng tâm O của tam giác ABC. Tính thể tích khối chóp S.ABC.",
"expected": "24*sqrt(3) ≈ 41.57",
},
{
"id": "case_3_hard",
"name": "Hình chóp cụt tứ giác đều (Hard)",
"question": "Cho hình chóp cụt tứ giác đều ABCD.A1B1C1D1 có cạnh đáy dưới bằng 8, cạnh đáy trên bằng 4, chiều cao giữa hai đáy h=6. Tính thể tích khối chóp cụt.",
"expected": "224",
}
]
# ==============================================================================
# 1. DEEPMATH IMPLEMENTATION (Program-Aided / Sandboxed Code Execution Agent)
# ==============================================================================
class DeepMathAgent:
"""
DeepMath (IntelLabs concept):
Employs an iterative Code-Act-Observe loop where the LLM writes executable Python/SymPy
code snippets for intermediate arithmetic/geometric derivations, executes them in a
safe sandbox, and integrates the deterministic outputs into the final reasoning steps.
"""
def __init__(self, client: OpenAI, model: str):
self.client = client
self.model = model
def solve(self, question: str) -> Dict[str, Any]:
start_time = time.time()
system_prompt = """You are DeepMath, an expert mathematical reasoning agent.
When solving geometry and math problems:
1. Explain the geometric method step-by-step in Vietnamese.
2. For ANY numerical computation, generate an executable Python block using SymPy/Math enclosed in ```python ... ```.
3. At the end, output the final structured JSON in a ```json ``` block with:
{
"steps": ["Step 1: ...", "Step 2: ..."],
"python_code": "... combined python code ...",
"evaluated_variables": {"var_name": "value"},
"answer": "final numerical or exact symbolic answer"
}
"""
messages = [
{"role": "system", "content": system_prompt},
{"role": "user", "content": f"Hãy giải bài toán hình học sau:\n{question}"}
]
response = self.client.chat.completions.create(
model=self.model,
messages=messages,
temperature=0.1,
)
content = response.choices[0].message.content or ""
# Extract and execute Python code snippets in a safe SymPy environment
code_blocks = re.findall(r"```python(.*?)```", content, re.DOTALL)
exec_globals = {"sp": sp, "math": __import__("math"), "sqrt": sp.sqrt}
exec_locals = {}
for block in code_blocks:
try:
exec(block, exec_globals, exec_locals)
except Exception as e:
exec_locals["_error"] = str(e)
# Extract JSON
json_match = re.search(r"```json(.*?)```", content, re.DOTALL)
if json_match:
try:
parsed_json = json.loads(json_match.group(1).strip())
except Exception:
parsed_json = {"raw": content}
else:
parsed_json = {"raw": content}
elapsed = time.time() - start_time
return {
"agent": "DeepMath",
"elapsed_s": round(elapsed, 2),
"content": content,
"exec_locals": {k: str(v) for k, v in exec_locals.items() if not k.startswith("_")},
"parsed_json": parsed_json,
}
# ==============================================================================
# 2. MATHAGENT IMPLEMENTATION (PRER - Planner-Reasoner-Executor-Reflector)
# ==============================================================================
class MathAgentPRER:
"""
MathAgent (PRER framework):
Multi-stage symbolic action agent:
1. Preprocess: splits into Conditions & Sub-questions.
2. Select & Act: selects reasoning actions (Calculate, Transform, Deduce).
3. Check & Reflector: validates step correctness.
4. Summary: synthesizes final proof and answer.
"""
def __init__(self, client: OpenAI, model: str):
self.client = client
self.model = model
def solve(self, question: str) -> Dict[str, Any]:
start_time = time.time()
# Step 1: Preprocess (Decompose into Conditions and Goal)
prep_prompt = f"Phân tích đề bài toán sau thành các điều kiện (Conditions) và mục tiêu (Goal) dưới dạng JSON:\n{question}\nFormat: {{\"conditions\": [...], \"goal\": \"...\"}}"
prep_res = self.client.chat.completions.create(
model=self.model,
messages=[{"role": "user", "content": prep_prompt}],
temperature=0.1,
)
prep_content = prep_res.choices[0].message.content or ""
# Step 2: Reasoner & Executor (Calculate + Deduce)
reason_prompt = f"""Dựa trên bài toán: {question}
Thực hiện các bước giải toán hình học chi tiết, tính toán các công thức diện tích và thể tích chính xác.
Trả về JSON gồm:
{{
"steps": ["Bước 1: ...", "Bước 2: ..."],
"formulas": ["S_day = ...", "V = ..."],
"answer": "kết quả cuối cùng"
}}"""
reason_res = self.client.chat.completions.create(
model=self.model,
messages=[{"role": "user", "content": reason_prompt}],
temperature=0.1,
)
reason_content = reason_res.choices[0].message.content or ""
elapsed = time.time() - start_time
return {
"agent": "MathAgent (PRER)",
"elapsed_s": round(elapsed, 2),
"prep_content": prep_content,
"reason_content": reason_content,
}
def main():
print("======================================================================", flush=True)
print(" BENCHMARK & CAPABILITY COMPARISON: DeepMath vs MathAgent", flush=True)
print(f" Model: {MODEL} | Provider: Google Generative Language", flush=True)
print("======================================================================", flush=True)
deepmath = DeepMathAgent(client, MODEL)
mathagent = MathAgentPRER(client, MODEL)
for prob in TEST_PROBLEMS:
print(f"\n" + "="*70, flush=True)
print(f"🔥 PROBLEM: {prob['name']}", flush=True)
print(f"Question: {prob['question']}", flush=True)
print(f"Expected: {prob['expected']}", flush=True)
print("="*70, flush=True)
# 1. Run DeepMath
print("\n--- [Running DeepMath Agent] ---", flush=True)
try:
res_dm = deepmath.solve(prob["question"])
print(f"⏱ Time: {res_dm['elapsed_s']}s", flush=True)
print(f"🐍 Executed Python Variables: {res_dm['exec_locals']}", flush=True)
print(f"📝 Output Answer: {res_dm['parsed_json'].get('answer', 'N/A')}", flush=True)
print(f"📋 Steps ({len(res_dm['parsed_json'].get('steps', []))}):", flush=True)
for s in res_dm['parsed_json'].get('steps', []):
print(f" - {s}", flush=True)
except Exception as e:
print(f"❌ DeepMath Error: {e}", flush=True)
traceback.print_exc()
# 2. Run MathAgent
print("\n--- [Running MathAgent PRER] ---", flush=True)
try:
res_ma = mathagent.solve(prob["question"])
print(f"⏱ Time: {res_ma['elapsed_s']}s", flush=True)
print(f"📝 Reason Output Preview:\n{res_ma['reason_content'][:250]}...", flush=True)
except Exception as e:
print(f"❌ MathAgent Error: {e}", flush=True)
traceback.print_exc()
if __name__ == "__main__":
main()