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"""Implements the conjecture-prove bootstrapping learning loop."""
import asyncio
import os
import json
import datetime
from pathlib import Path
import hydra
from omegaconf import DictConfig
import torch
import numpy as np
from tqdm import tqdm
import peano
import worker
from worker import StudentResult # noqa
from hindsight import HindsightExample # noqa
from util import format_blocks_with_indent, sample_batch, setup_wandb, value_color, save_json
from conjecture import AgentLM, Context, sample_conjecture
from proofsearch import make_agent
def load_fixed_statements(path: str) -> list[str]:
"""Parse a benchmark file with 'name. statement' lines into a list of statements."""
stmts = []
for line in Path(path).read_text().splitlines():
line = line.strip()
if not line:
continue
if "." in line:
_, stmt = line.split(".", 1)
stmt = stmt.strip()
else:
stmt = line
stmts.append(stmt)
return stmts
def now() -> str:
return '[' + datetime.datetime.now().isoformat() + ']'
FAIL = "fail"
def _get_logprob(student_result, normalize):
"""Return logprob, optionally normalized by proof length."""
lp = student_result.logprob
if normalize and lp is not None and student_result.solution_actions:
lp = lp / max(len(student_result.solution_actions), 1)
return lp
DISTRIBUTED = os.environ.get('DISTRIBUTED', False)
def submit_task(agent_path: str, theory: worker.BackgroundTheory, statement: str, timeout: float = None):
if DISTRIBUTED:
return worker.try_prove.apply_async(args=(agent_path, theory, statement),
kwargs={'timeout': timeout})
else:
return worker.try_prove.run(agent_path, theory, statement, timeout=timeout)
def get_task_result(task, timeout=None):
if DISTRIBUTED:
return task.get(timeout=timeout)
else:
return task
async def teacher_loop(cfg: DictConfig):
print('Running in', 'distributed mode.' if DISTRIBUTED else 'single-process mode.')
agent = make_agent(cfg)
with open(os.path.join(os.path.dirname(__file__), 'theories', cfg.theory.name + '.p')) as f:
theory = f.read()
difficulty_buckets = sorted([list(cfg.difficulty_buckets[i].items())[0]
for i in range(len(cfg.difficulty_buckets))],
key=lambda kv: kv[1])
premises = cfg.theory.premises
d = peano.PyDerivation()
d.incorporate(theory)
proven_conjectures = []
seen_hindsight_goals = set()
proofs = []
outcomes = []
continue_dir = cfg.get('continue')
start_iteration = 0
if continue_dir is not None:
os.chdir(continue_dir)
print('Continuing run from', continue_dir)
# Find largest iteration number such that i.pt exists.
i = 0
while os.path.exists(f'{i}.pt'):
i += 1
i -= 1
start_iteration = i
agent = torch.load(f'{i}.pt', weights_only=False)
print('Loaded agent from', f'{i}.pt')
# Load examples and outcomes.
if i > 0:
with open(f'outcomes_{i-1}.json', 'r') as f:
outcomes = json.load(f)
proven_conjectures = [o['problem'] for o in outcomes
if o['hindsight'] is False and
o['proof'] is not None]
seen_hindsight_goals = {o['problem'] for o in outcomes
if o['hindsight'] and o['proof'] is not None}
print('Loaded', len(proven_conjectures), 'proven conjectures from previous run.')
if cfg.get('freeze_conjecturer', False):
print('Ablation: Freezing conjecturer.')
with open('log.jsonl', 'w') as log:
for i in range(start_iteration, cfg.iterations):
torch.save(agent, f'{i}.pt')
fixed_path = cfg.get('fixed_statements_path', None)
if fixed_path is not None:
conjectures = load_fixed_statements(fixed_path)
print(now(), f'Iteration #{i}: using {len(conjectures)} fixed benchmark problems.')
else:
context = Context(d, None, [])
# 1- Run conjecturing model to obtain N conjectures.
print(now(), f'Iteration #{i}: making conjectures...')
progress_bar = tqdm(total=cfg.n_conjectures)
conjectures = []
while len(conjectures) < cfg.n_conjectures:
proposal = sample_conjecture(AgentLM(agent, 'Conj:(hard) '), context)
if proposal and proposal not in conjectures + proven_conjectures:
# Contract conjectures to make them Peano-parseable.
contracted_proposal = d.contract(proposal)
if contracted_proposal not in conjectures + proven_conjectures:
conjectures.append(contracted_proposal)
progress_bar.update(1)
progress_bar.close()
print(now(), 'done, have', len(conjectures), 'conjectures')
print(conjectures)
log.write(json.dumps({'iteration': i,
'msg': f'It #{i}: posing {len(conjectures)} conjectures.',
'conjectures': conjectures}))
log.write('\n')
log.flush()
# 2- Try to prove each of the conjectures
tasks = []
# Reuse the checkpoint already saved above.
agent_path = os.path.abspath(f'{i}.pt')
proof_search_timeout = cfg.get('proof_search_timeout', None)
if proof_search_timeout:
print(f'Proof search timeout: {proof_search_timeout}s')
print('Submitting tasks...')
for conjecture in tqdm(conjectures, miniters=1):
tasks.append(submit_task(
agent_path,
worker.BackgroundTheory(theory, premises),
conjecture,
timeout=proof_search_timeout))
# 3- Train model on proofs and outcome of conjectures (easy, hard, timeout)
examples = []
student_results = []
inactivity_timeout = (proof_search_timeout + 60) if proof_search_timeout else 660
print('Collecting', len(tasks), f'results from workers (inactivity timeout: {inactivity_timeout}s).')
if DISTRIBUTED:
import time as _time
pending = set(range(len(tasks)))
last_result_time = _time.time()
progress_bar = tqdm(total=len(tasks), miniters=1)
while pending and (_time.time() - last_result_time) < inactivity_timeout:
for idx in list(pending):
if tasks[idx].ready():
pending.discard(idx)
progress_bar.update(1)
last_result_time = _time.time()
try:
student_result = tasks[idx].get(timeout=5)
if student_result.error:
print('Error in prover process!')
print(student_result.error)
continue
student_results.append(student_result)
except Exception as e:
print(f'Failed to get result for task {idx}: {e}')
_time.sleep(1)
progress_bar.close()
if pending:
print(f'Collection stopped after {inactivity_timeout}s of inactivity.')
print(f'Got {len(student_results)} results out of {len(tasks)} tasks.')
else:
for task in tqdm(tasks, miniters=1):
student_result = get_task_result(task)
if student_result.error:
print('Error in prover process!')
print(student_result.error)
continue
student_results.append(student_result)
success_logprobs = []
n_timeouts = 0
normalize_lp = cfg.get('normalize_logprob', False)
# 3a- Look at all the success logprobs and compute the easy/hard threhsold.
for student_result in student_results:
if student_result.success:
success_logprobs.append(_get_logprob(student_result, normalize_lp))
if getattr(student_result, 'timed_out', False):
n_timeouts += 1
outcomes.append({'iteration': i,
'problem': student_result.problem,
'proof': student_result.proof,
'logprob': student_result.logprob,
'actions': student_result.solution_actions,
'hindsight': False,
'timed_out': getattr(student_result, 'timed_out', False),
'proof_features': getattr(student_result, 'proof_features', None),
})
for h in student_result.hindsight_examples:
outcomes.append({'iteration': i,
'problem': h.statement,
'proof': h.proof,
'logprob': h.logprob,
'actions': h.solution_actions,
'hindsight': True
})
if not success_logprobs:
print(f'No solutions found in iteration {i} - stopping learning loop...')
break
print(f'Iteration #{i}: {len(success_logprobs)} solved, {n_timeouts} timed out, '
f'{len(student_results) - len(success_logprobs) - n_timeouts} failed.')
thresholds = [np.percentile(success_logprobs, p)
for _, p in difficulty_buckets]
print('Thresholds:',
list(zip([k for k, _ in difficulty_buckets], thresholds)),
'min =', np.min(success_logprobs),
'max =', np.max(success_logprobs))
# 3b- Classify problems into easy/hard.
for student_result in student_results:
# Outcome is the name of the first difficulty bucket that is larger than the logprob.
if student_result.success:
lp = _get_logprob(student_result, normalize_lp)
outcome = next(k
for i, (k, _) in enumerate(difficulty_buckets)
if (lp <= thresholds[i] or
i + 1 == len(difficulty_buckets)))
else:
outcome = FAIL
if not cfg.get('freeze_conjecturer', False):
examples.append(f'Conj:({outcome}) ' + d.elaborate(student_result.problem))
if student_result.success:
proven_conjectures.append(student_result.problem)
proofs.append(student_result.proof)
examples.extend(student_result.extracted_examples)
if cfg.train_policy_on_hindsight_examples:
for h in student_result.hindsight_examples:
if h.goal not in seen_hindsight_goals:
h_lp = h.logprob
if normalize_lp and h.solution_actions:
h_lp = h_lp / max(len(h.solution_actions), 1)
outcome = next(k
for i, (k, _) in enumerate(difficulty_buckets)
if h_lp <= thresholds[i] or i + 1 == len(difficulty_buckets))
if not cfg.get('freeze_conjecturer', False):
examples.append(f'Conj:({outcome}) ' + d.elaborate(student_result.problem))
examples.extend(h.examples)
seen_hindsight_goals.add(h.goal)
log.write(json.dumps({'iteration': i,
'msg': f'Training on {len(examples)} examples.'}))
log.write('\n')
# 3c- Train model on conjecturing and proof search examples.
if i + 1 < cfg.iterations:
print(len(examples), 'accumulated training examples.')
agent.train(examples)
save_json(examples, f'examples_{i}.json')
save_json(outcomes, f'outcomes_{i}.json')
torch.save(student_results, f'results_{i}.json')
@hydra.main(version_base="1.2", config_path="config", config_name="bootstrap")
def main(cfg: DictConfig):
print('Running from:', os.getcwd())
setup_wandb(cfg)
if cfg.task == 'teacher':
asyncio.run(teacher_loop(cfg))
if __name__ == '__main__':
main()
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_NoHER
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul
#CUDA_VISIBLE_DEVICES=0 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu0@%h
#CUDA_VISIBLE_DEVICES=1 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu1@%h
#CUDA_VISIBLE_DEVICES=2 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu2@%h
#CUDA_VISIBLE_DEVICES=3 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu3@%h
#redis-server --port 6379
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_800_moreupdates.yaml
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul_800.yaml
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_fixed_benchmark +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/2.pt
#ç
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_fixed_benchmark +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_fixed_bench_noHER/2026-03-19_18-44-53/9.pt
#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul_800
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