Simple and intermediate integration problems dataset generators

[joesharratt1229]

Linked to issue #36.

** Files Added **

• algebra/simple_integration.py - implements the SimpleIntegrationConfig and SimpleIntegrationDataset for basic indefinite integration tasks
• algebra/intermediate_integration.py - Implementation of intermediate tasks.
• tests/test_simple_integration.py - Testing of simple integration tasks
• tests/test_intermediate_integration.py - Testing of intermediate tasks

[andreaskoepf]

Thanks a lot for the integration datasets!

Could you add score_answer() functions to parse the result and compare simplified with sympy? This would be much better than just string comparison (which the default score_answer method of the base class does).

for a simple example of score_answer() see:

reasoning-gym/reasoning_gym/games/countdown.py

Lines 162 to 177 in 8b0f634

	def score_answer(self, answer: Optional[str], metadata: Dict[str, Any]) -> float:
	"""Determine if the solution provided solves the problem"""
	reward = 0.0
	if answer is not None:
	try:
	user_answer = int(parse_expr(answer))
	solved = user_answer == metadata["target"]
	if solved:
	reward = 1.0
	elif len(answer.strip()) > 0: # encourage partial solutions
	reward = 0.05
	else:
	reward = 0.01
	except:
	reward = 0.01
	return reward

[andreaskoepf]

🔢 🥇