#!/usr/bin/env python """K5: inference-time levers at MATCHED total generated tokens per problem (SOTA plan v3.1 section 3; docs/K5_LEVERS.md). Three arms on the same base model (Goedel-Prover-V2-8B) and the same dev problems: restart independent whole-proof attempts (class A samples). correct Goedel-format Lean-feedback correction (class B): attempt + up to 2 repairs per trajectory, cumulative token ledger, repairs of EVERY failed root (so each trajectory has a complete cost record). agentic (class C, exploratory) proof-bank-conditioned attempt, then R = 4 rounds in total of: APOLLO-style subgoal repair (split the failing proof at its failing `have`s, prove each subgoal as its own problem, reassemble, re-verify) alternating with compiler-feedback correction. Retrieval is from a decontaminated bank of verified proofs of OTHER training problems. Matching. The unit of every arm is a TRAJECTORY (a restart sample; a root with its repair chain; an agentic chain with its subgoal sub-generations) with a token cost: the completion tokens spent up to the end of the round in which it first succeeded, or all of its tokens if it never did. Arms are generated generously (a pool of units per problem) and then REPLAYED at a per-problem budget B_p: units are drawn in a random order (permutation-averaged, deterministic seed) and run until the budget is spent or one succeeds; a unit that does not fit in the remaining budget ends the run (a real run cannot know a unit's cost in advance, so it is clipped and fails). The estimate per problem is the fraction of orderings that solve it, directly comparable across arms and testable with the registered paired sign-flip test. `--budget restart_k:8` sets B_p to 8 mean restart attempts of that problem (the pass@8-equivalent spend); `--budget fixed:N` is a scalar. A problem whose pool cannot fill the budget is reported `underfilled`, and `status` says how many more units to generate: the budget equaliser never silently lets one arm spend less. Subcommands (`k5_levers.py -h`): plan print every stage (the exact command lines) for a configuration; starts nothing run execute the stages with a resumable done-marker per stage (each inside `hostguard.py run`) prep merge dev problems, build + decontaminate the proof bank, attach retrieved examples (CPU) route agentic round k: choose subgoal vs feedback per failed parent, extract subgoals through Lean (CPU) assemble agentic round k: splice proven subgoals back, write assembled candidates (CPU) ledger per-arm unit tables from generation + verification files report matched-budget comparison, paired tests, Holm over the K5 family status under-filled problems per arm and how many units each needs estimate box-hour estimate from measured rates """ from __future__ import annotations import argparse import dataclasses import hashlib import importlib.util import json import math import os import re import shlex import subprocess import sys import time from collections import Counter, defaultdict from dataclasses import dataclass, field from pathlib import Path from typing import Iterable, Optional import numpy as np REPO = Path(__file__).resolve().parents[2] sys.path.insert(0, str(REPO)) def _load(name: str, rel: str): if name in sys.modules: return sys.modules[name] spec = importlib.util.spec_from_file_location(name, REPO / rel) mod = importlib.util.module_from_spec(spec) sys.modules[name] = mod spec.loader.exec_module(mod) return mod C = _load("p2_common", "scripts/p2/p2_common.py") LP = _load("k5_lean_prompts", "extras/vllm_rollout/lean_prompts.py") # a git worktree has no venvs of its own: ALIGN_VENV_ROOT (default: the main checkout) holds .venv and .venv-rollout _VR = Path(os.environ.get("ALIGN_VENV_ROOT", REPO if (REPO / ".venv").exists() else "/apps/development/rlhf/align")) PYR = str(_VR / ".venv-rollout" / "bin" / "python") PY = str(_VR / ".venv" / "bin" / "python") DEFAULT_MODEL = ( "/apps/development/rlhf/hf_cache/hub/models--Goedel-LM--Goedel-Prover-V2-8B/snapshots/" "dfd02e6271a58375dfbf3ece0175277cf6b6a89a" ) ARMS = ("restart", "correct", "agentic") ASM_BASE = 1_000_000 # sample_idx offset of assembled (subgoal-repaired) nodes: never collides with lean_gen's parent*n+i # =========================================================================== 1. ledger and the budget equaliser @dataclass(frozen=True) class Unit: """One trajectory of an arm. `tokens` is the cost the unit charges when it is run: the completion tokens of every node up to the end of the round of its first success, or `tokens_total` when it never succeeded.""" problem_id: str arm: str unit_id: str tokens: int solved: bool tokens_total: int by_kind: tuple = () # ((kind, tokens), ...) over the charged span def node_tokens(g: dict) -> int: t = g.get("trajectory") if t and "completion_tokens" in t: return int(t["completion_tokens"]) ids = g.get("completion_ids") if ids is None: raise ValueError(f"{g.get('problem_id')}: generation record without completion_ids or a trajectory ledger") return len(ids) def node_kind(g: dict) -> str: t = g.get("trajectory") or {} return t.get("kind") or ("attempt" if int(g["round"]) == 0 else "repair") def root_id(g: dict) -> str: t = g.get("trajectory") if t and "root_trajectory_id" in t: return t["root_trajectory_id"] if int(g["round"]) != 0: raise ValueError(f"{g['problem_id']}: a round-{g['round']} record without a trajectory ledger cannot be assigned to a root") return f"{g['problem_id']}|{int(g['sample_idx'])}" def _join(gens: Iterable[dict], vers: Iterable[dict]) -> list[tuple[dict, dict]]: vmap = {} for v in vers: vmap[C.gen_key(v)] = v out, seen = [], set() for g in gens: k = C.gen_key(g) if k in seen: raise ValueError(f"duplicate generation key {k} across the input files") seen.add(k) v = vmap.get(k) if v is None: raise ValueError(f"generation {k} has no verification record; verify every node before building the ledger") out.append((g, v)) return out def units_restart(gens: Iterable[dict], vers: Iterable[dict], arm: str = "restart") -> dict[str, list[Unit]]: """Each round-0 sample is its own unit.""" out: dict[str, list[Unit]] = defaultdict(list) for g, v in _join(gens, vers): if int(g["round"]) != 0: continue n = node_tokens(g) out[g["problem_id"]].append(Unit(g["problem_id"], arm, root_id(g), n, bool(v["accepted"]), n, ((node_kind(g), n),))) return dict(out) def units_chains(gens: Iterable[dict], vers: Iterable[dict], arm: str) -> dict[str, list[Unit]]: """One unit per root trajectory (class B and agentic). Nodes are grouped by `trajectory.root_trajectory_id`; the cost through round r is the sum of ALL nodes of rounds <= r (branches included), so nothing generated is free.""" groups: dict[str, list[tuple[dict, dict]]] = defaultdict(list) for g, v in _join(gens, vers): groups[root_id(g)].append((g, v)) out: dict[str, list[Unit]] = defaultdict(list) for rid, nodes in groups.items(): if not any(int(g["round"]) == 0 for g, _ in nodes): raise ValueError(f"{rid}: no round-0 node among the input files (the lineage is partial); pass every round's files") pid = nodes[0][0]["problem_id"] solved_round = min((int(g["round"]) for g, v in nodes if v["accepted"]), default=None) charged = [(g, v) for g, v in nodes if solved_round is None or int(g["round"]) <= solved_round] by_kind: Counter = Counter() for g, _ in charged: by_kind[node_kind(g)] += node_tokens(g) total = sum(node_tokens(g) for g, _ in nodes) out[pid].append(Unit(pid, arm, rid, sum(by_kind.values()), solved_round is not None, total, tuple(sorted(by_kind.items())))) return dict(out) def _seed_for(seed: int, pid: str) -> int: return int.from_bytes(hashlib.sha256(f"{seed}|{pid}".encode()).digest()[:8], "big") % (2**32) @dataclass class Replay: p_solve: float # fraction of orderings in which the problem is solved within the budget spent: float # mean tokens spent over the orderings underfill: float # fraction of orderings that ran out of units with a mean unit of budget still unspent n_units: int def replay_budget(units: list[Unit], budget: float, n_perm: int = 256, seed: int = 0, pid: str = "") -> Replay: """Permutation-averaged solve probability of `units` at `budget` generated tokens (the equaliser's arithmetic). One ordering: units are run in order; a unit whose cost exceeds the remaining budget ends the ordering unsolved (it would be clipped); a solved unit within budget ends it solved; an unsolved one that fits spends its tokens and the next is tried. Spent tokens are what the ordering actually used.""" if not units: return Replay(0.0, 0.0, 1.0, 0) rng = np.random.default_rng(_seed_for(seed, pid)) cost = np.array([u.tokens for u in units], dtype=np.float64) solved = np.array([u.solved for u in units], dtype=bool) mean_cost = float(cost.mean()) wins = under = 0 spent_sum = 0.0 n = len(units) for _ in range(n_perm): order = rng.permutation(n) spent, won, exhausted = 0.0, False, True for i in order: if spent + cost[i] > budget: exhausted = False break spent += cost[i] if solved[i]: won, exhausted = True, False break wins += won spent_sum += spent if exhausted and not won and budget - spent >= mean_cost: under += 1 return Replay(wins / n_perm, spent_sum / n_perm, under / n_perm, n) def budget_table(spec: str, restart: dict[str, list[Unit]], problems: Iterable[str]) -> dict[str, float]: """Per-problem budget B_p. `restart_k:K` = K x the mean tokens of that problem's restart attempts (the spend of a pass@K run); `fixed:N` = N tokens everywhere.""" kind, _, arg = spec.partition(":") out = {} if kind == "fixed": return {p: float(arg) for p in problems} if kind != "restart_k": raise ValueError(f"unknown budget spec {spec!r} (restart_k:K or fixed:N)") k = float(arg) for p in problems: us = restart.get(p) if not us: raise ValueError(f"problem {p}: no restart units to derive its budget from") out[p] = k * sum(u.tokens_total for u in us) / len(us) return out def equalise(arms: dict[str, dict[str, list[Unit]]], budgets: dict[str, float], n_perm: int = 256, seed: int = 0, fractions: tuple = (0.25, 0.5, 1.0)) -> dict: """Replay every arm at every budget fraction. -> {arm: {fraction: {problem: Replay}}} plus summaries.""" res: dict = {} for arm, by_p in arms.items(): res[arm] = {} for f in fractions: res[arm][f] = {p: replay_budget(by_p.get(p, []), b * f, n_perm, seed, p) for p, b in budgets.items()} return res def arm_summary(per_problem: dict[str, Replay], budgets: dict[str, float], fraction: float = 1.0) -> dict: n = len(per_problem) tot_b = sum(budgets[p] * fraction for p in per_problem) return { "n_problems": n, "mean_p_solve": sum(r.p_solve for r in per_problem.values()) / max(n, 1), "tokens_spent_per_problem": sum(r.spent for r in per_problem.values()) / max(n, 1), "budget_per_problem": tot_b / max(n, 1), "spend_ratio": sum(r.spent for r in per_problem.values()) / tot_b if tot_b else 0.0, "underfilled_problems": sum(1 for r in per_problem.values() if r.underfill > 0.05), "no_units": sum(1 for r in per_problem.values() if r.n_units == 0), } def units_needed(units: dict[str, list[Unit]], budgets: dict[str, float], per_problem: dict[str, Replay]) -> dict[str, int]: """Additional units per under-filled problem: enough mean-cost units to cover the unspent budget, +1 slack.""" need = {} for p, r in per_problem.items(): if r.underfill <= 0.05: continue us = units.get(p) or [] mean = (sum(u.tokens for u in us) / len(us)) if us else max(budgets[p] / 4.0, 1.0) need[p] = max(1, math.ceil(max(budgets[p] - r.spent, 0.0) / max(mean, 1.0))) + 1 return need # =========================================================================== 2. proof bank + decontamination @dataclass class BankEntry: problem_id: str statement: str # `theorem ... := by` (no header, no `sorry`) proof: str # text after that `:= by`, verbatim informal: Optional[str] tokens: int code_sha: str source_statement: str = "" # the full formal statement (for decontamination) def split_example(lean_code: str) -> Optional[tuple[str, str]]: """(`theorem ... := by`, body) of a verified `lean_code`, or None. Comments are masked for the search only.""" from align.rl.envs.subgoal_repair import mask mk = mask(lean_code) m = re.search(r"\btheorem\b[\s\S]*?:=\s*by", mk) if m is None: return None return lean_code[m.start():m.end()], lean_code[m.end():] def eval_items_from_problems(rows: Iterable[dict]): from align.data.decontam import EvalItem return [EvalItem(f"{r.get('split', '')}:{r['problem_id']}", r.get("source", "eval"), r["formal_statement"], r.get("informal_prefix")) for r in rows] def decontaminate_bank(candidates: list[BankEntry], eval_rows: list[dict], ancestry: Optional[dict] = None) -> tuple[list[BankEntry], list[dict]]: """Drop every candidate that hits any evaluation / query problem under the repo's layered detector (`align.data.decontam`: normalised-text, signature and alpha hashes, MinHash-LSH, token n-gram containment, informal text n-grams), or whose problem id IS an evaluation id, or whose ancestry (mutation parent) does. Returns (kept, dropped-with-reason). Over-flagging is the policy: a false positive costs one bank entry.""" from align.data.decontam import ContaminationLedger, Decontaminator dec = Decontaminator(eval_items_from_problems(eval_rows)) eval_ids = {r["problem_id"] for r in eval_rows} led = ContaminationLedger() for c in candidates: led.add(c.problem_id, dec.check(c.source_statement or c.statement, c.informal), (ancestry or {}).get(c.problem_id)) kept, dropped = [], [] for c in candidates: if c.problem_id in eval_ids: dropped.append({"problem_id": c.problem_id, "why": "is_an_eval_problem"}) continue bad, why = led.resolve(c.problem_id) if bad: dropped.append({"problem_id": c.problem_id, "why": why, "hits": [dataclasses.asdict(h) for h in led.direct.get(c.problem_id, [])[:3]]}) continue kept.append(c) return kept, dropped def bank_candidates(problems: dict[str, dict], gens: Iterable[dict], vers: Iterable[dict], max_chars: int = 2500) -> list[BankEntry]: """The shortest accepted proof per problem, as an example (statement + body).""" best: dict[str, BankEntry] = {} for g, v in _join(gens, vers): if not v["accepted"] or not g.get("lean_code") or g["problem_id"] not in problems: continue ex = split_example(g["lean_code"]) if ex is None or len(ex[0]) + len(ex[1]) > max_chars: continue pr = problems[g["problem_id"]] e = BankEntry(g["problem_id"], ex[0], ex[1], pr.get("informal_prefix"), node_tokens(g), C.code_sha(g["lean_code"]), pr["formal_statement"]) cur = best.get(g["problem_id"]) if cur is None or len(e.proof) < len(cur.proof): best[g["problem_id"]] = e return [best[k] for k in sorted(best)] class BankIndex: """TF-IDF over statement tokens (identifiers kept: lemma names are the signal). Cosine retrieval, shorter proof breaks ties. Pure numpy; the bank is thousands of entries.""" def __init__(self, entries: list[BankEntry]): from align.data.decontam import lean_tokens self._tok = lambda s: lean_tokens(s, alpha=False) self.entries = entries docs = [Counter(self._tok(e.source_statement or e.statement)) for e in entries] df = Counter(t for d in docs for t in d) self.vocab = {t: i for i, t in enumerate(sorted(df))} n = max(len(entries), 1) self.idf = np.array([math.log((1 + n) / (1 + df[t])) + 1.0 for t in sorted(df)]) if df else np.zeros(0) self.mat = np.zeros((len(entries), len(self.vocab)), dtype=np.float32) for i, d in enumerate(docs): self.mat[i] = self._vec(d) def _vec(self, counts: Counter) -> np.ndarray: v = np.zeros(len(self.vocab), dtype=np.float32) for t, c in counts.items(): j = self.vocab.get(t) if j is not None: v[j] = (1 + math.log(c)) * self.idf[j] nrm = np.linalg.norm(v) return v / nrm if nrm else v def retrieve(self, statement: str, k: int = 3, exclude_ids: Iterable[str] = (), min_sim: float = 0.05) -> list[BankEntry]: if not self.entries: return [] q = self._vec(Counter(self._tok(statement))) sims = self.mat @ q ex = set(exclude_ids) order = sorted(range(len(self.entries)), key=lambda i: (-float(sims[i]), len(self.entries[i].proof))) out = [] for i in order: if sims[i] < min_sim or self.entries[i].problem_id in ex: continue out.append(self.entries[i]) if len(out) == k: break return out def bank_examples(entries: list[BankEntry], max_chars: int = 6000) -> list[dict]: out, used = [], 0 for e in entries: used += len(e.statement) + len(e.proof) if used > max_chars: break out.append({"statement": e.statement, "proof": e.proof, "source": e.problem_id}) return out def attach_bank(problems: list[dict], index: BankIndex, k: int = 3) -> list[dict]: """Problem rows with `bank_examples` (the `goedel_bank` prompt format reads them). A problem is never given its own bank entry (`exclude_ids`).""" out = [] for p in problems: ex = bank_examples(index.retrieve(p["formal_statement"], k, exclude_ids=[p["problem_id"]])) out.append(dict(p, bank_examples=ex)) return out # =========================================================================== 3. agentic rounds (route / assemble) def parent_info(g: dict, v: dict) -> Optional[dict]: """Failed node with Lean feedback, or None (accepted, truncated, no code, no compile errors).""" if v["accepted"] or not g.get("lean_code"): return None if not isinstance(v.get("repl_errors"), list) or not v["repl_errors"] or not isinstance(v.get("repl_code"), str): return None return {"gen": g, "ver": v} def route_for_round(routes: str, round_k: int) -> str: """`routes` = comma list for rounds 1..R-1, each `subgoal` (subgoal repair, falling back to feedback when nothing can be extracted) or `feedback`. A design choice, not tuned: alternating heterogeneous moves.""" rs = [x.strip() for x in routes.split(",")] if not 1 <= round_k <= len(rs) or any(x not in ("subgoal", "feedback") for x in rs): raise ValueError(f"routes {routes!r} has no valid entry for round {round_k}") return rs[round_k - 1] def sg_problem_id(parent_g: dict, j: int) -> str: return f"{parent_g['problem_id']}::sg{int(parent_g['sample_idx'])}r{int(parent_g['round'])}g{j}" def make_asm_nodes(plan, parent_g: dict, parent_v: dict, bodies: dict[int, str], sub_tokens: int, n_proven: int, round_k: int, cap: int): """(gen record, ver record or None). The assembled candidate is a synthetic generation: its text is the code, its completion_ids a single placeholder, and the real cost (the subgoal samples) sits in `trajectory.completion_tokens`. The history `messages` are the parent's, so a following Goedel correction prompt reads the whole story. When the candidate equals the parent's code (no subgoal proven) its verdict is copied, not re-verified.""" from align.rl.envs.subgoal_repair import reassemble code = reassemble(plan, bodies, restore_unproven=True) pt = parent_g.get("trajectory") or {} prior = int(pt.get("cum_completion_tokens", node_tokens(parent_g))) sidx = ASM_BASE + int(parent_g["sample_idx"]) rid = root_id(parent_g) gen = { "problem_id": parent_g["problem_id"], "sample_idx": sidx, "round": round_k, "cap_tokens": cap, "prompt_ids": [0], "completion_ids": [0], "prompt_text": "", "completion_text": f"```lean4\n{code}\n```", "finish_reason": "stop", "lean_code": code, "lean_code_error": None, "messages": parent_g["messages"], "model_path": parent_g["model_path"], "model_rev": parent_g["model_rev"], "sampling": dict(parent_g["sampling"], max_tokens=1), "context_clipped": False, "parent": {"problem_id": parent_g["problem_id"], "sample_idx": int(parent_g["sample_idx"]), "round": int(parent_g["round"])}, "trajectory": { "root_trajectory_id": rid, "problem_id": parent_g["problem_id"], "root_sample_idx": int(pt.get("root_sample_idx", parent_g["sample_idx"])), "round": round_k, "kind": "assembled", "parent_key": [parent_g["problem_id"], int(parent_g["sample_idx"]), int(parent_g["round"])], "completion_tokens": int(sub_tokens), "prior_completion_tokens": prior, "cum_completion_tokens": prior + int(sub_tokens), "truncated": False, "budget_clipped": False, "partial": False, }, "subgoal": {"gaps": len(plan.gaps), "proven": n_proven}, } ver = None if code == parent_g["lean_code"]: ver = dict(parent_v, sample_idx=sidx, round=round_k, cap_tokens=cap, code_sha256=C.code_sha(code)) return gen, ver # =========================================================================== 4. stages (the exact command lines) @dataclass class Cfg: run_dir: str problems: list[str] # dev problem files (miniF2F-valid, ProofNet-valid, ...) model: str = DEFAULT_MODEL seed: int = 0 cap: int = 40960 traj_cap: int = 40000 # class B cumulative cap n_restart: int = 32 n_agentic: int = 8 rounds: int = 4 # agentic rounds in total (1 attempt + 3 repairs) routes: str = "subgoal,feedback,subgoal" sub_n: int = 4 # samples per subgoal sub_cap: int = 16384 bank_k: int = 3 budget: str = "restart_k:8" workers: int = 8 gpu_mem_util: float = 0.82 bank_problems: Optional[str] = None bank_gens: Optional[str] = None bank_vers: Optional[str] = None eval_problems: list = field(default_factory=list) # every evaluation set the bank must be clean against hostguard: bool = True gpu_caps: str = "--cores 24 --mem-gb 100" cpu_caps: str = "--cores 16 --mem-gb 64" def p(self, *parts) -> str: return str(Path(self.run_dir, *parts)) @dataclass class Stage: name: str argv: list gpu: bool outputs: list # a stage is done iff its marker exists; outputs are listed for `plan` and cleanup skip_if_empty: Optional[str] = None # an input file that, when it exists with no rows, makes the stage a no-op def marker(self, cfg: Cfg) -> Path: return Path(cfg.p("done", self.name)) def _hg(cfg: Cfg, st: Stage) -> list: if not cfg.hostguard: return st.argv caps = (cfg.gpu_caps if st.gpu else cfg.cpu_caps).split() return [PY, str(REPO / "scripts/hostguard.py"), "run", "--wait", *caps, "--label", f"k5-{st.name}", "--", *st.argv] def _gen_args(cfg: Cfg, problems: str, out: str, n: int, rnd: int, cap: int, label: str, extra: list = ()) -> str: a = ["--model", cfg.model, "--problems", problems, "--out", out, "--n", str(n), "--cap-tokens", str(cap), "--round", str(rnd), "--tp", "4", "--seed", str(cfg.seed), "--max-num-seqs", "128", "--gpu-mem-util", str(cfg.gpu_mem_util), "--label", label, *extra] return " ".join(shlex.quote(x) for x in a) def _pgv(cfg: Cfg, name: str, problems: str, gen_out: str, ver_out: str, n: int, rnd: int, cap: int, extra: list = (), feedback: bool = True, wait_marker: Optional[str] = None) -> Stage: run = cfg.p("pipe", name) argv = [PY, str(REPO / "scripts/p2/pipeline_gen_verify.py"), "--run-dir", run, "--problems", problems, "--verify-out", ver_out, "--workers", str(cfg.workers), "--label", f"k5-{name}", "--gen-args", _gen_args(cfg, problems, gen_out, n, rnd, cap, f"k5-{name}", list(extra))] if feedback: argv.append("--feedback") return Stage(name, argv, True, [gen_out, ver_out]) def _self(cfg: Cfg, name: str, sub: str, *args: str, gpu: bool = False) -> Stage: return Stage(name, [PY, str(REPO / "scripts/p2/k5_levers.py"), sub, *args], gpu, []) def build_stages(cfg: Cfg) -> list[Stage]: """Every stage of K5, in order. Pure: nothing is executed or created.""" dev, dev_bank = cfg.p("dev.jsonl"), cfg.p("dev_bank.jsonl") ss: list[Stage] = [] prep = ["--run-dir", cfg.run_dir, "--problems", *cfg.problems, "--bank-k", str(cfg.bank_k)] if cfg.bank_problems: prep += ["--bank-problems", cfg.bank_problems, "--bank-gens", cfg.bank_gens, "--bank-vers", cfg.bank_vers] if cfg.eval_problems: prep += ["--eval-problems", *cfg.eval_problems] ss.append(_self(cfg, "prep", "prep", *prep)) # ---- restart (class A samples; also the roots of the correction arm) R0g, R0v = cfg.p("restart/gen_r0.jsonl"), cfg.p("restart/ver_r0.jsonl") ss.append(_pgv(cfg, "restart_r0", dev, R0g, R0v, cfg.n_restart, 0, cfg.cap)) # ---- correct (class B): rounds 1, 2; every failed root is repaired (--repair-solved) so each trajectory is fully costed prev = [(R0v, R0g)] for r in (1, 2): g, v = cfg.p(f"correct/gen_r{r}.jsonl"), cfg.p(f"correct/ver_r{r}.jsonl") extra = ["--trajectory-cap-tokens", str(cfg.traj_cap), "--repair-solved"] for pv, pg in prev: extra += ["--corrections-from", pv, pg] ss.append(_pgv(cfg, f"correct_r{r}", dev, g, v, 1, r, cfg.cap, extra)) prev = [(v, g)] + prev # ---- agentic (class C) A0g, A0v = cfg.p("agentic/gen_r0.jsonl"), cfg.p("agentic/ver_r0.jsonl") ss.append(_pgv(cfg, "agentic_r0", dev_bank, A0g, A0v, cfg.n_agentic, 0, cfg.cap, ["--prompt-format", "goedel_bank"])) last = [(A0v, A0g)] # the (ver, gen) pairs of the previous round for r in range(1, cfg.rounds): mode = route_for_round(cfg.routes, r) rd = cfg.p(f"agentic/round{r}") route_args = ["--run-dir", cfg.run_dir, "--round", str(r), "--mode", mode, "--workers", "2", "--bank-k", str(cfg.bank_k), "--sub-n", str(cfg.sub_n)] for v, g in last: route_args += ["--pairs", v, g] ss.append(_self(cfg, f"agentic_route_r{r}", "route", *route_args)) fg, fv = cfg.p(f"agentic/gen_r{r}.jsonl"), cfg.p(f"agentic/ver_r{r}.jsonl") fbg, fbv = f"{rd}/fb_parents.gen.jsonl", f"{rd}/fb_parents.ver.jsonl" nxt = [(fv, fg)] if mode == "subgoal": sgp, sgg, sgv = f"{rd}/sg_problems.jsonl", f"{rd}/sg_gen.jsonl", f"{rd}/sg_ver.jsonl" st = _pgv(cfg, f"agentic_sg_r{r}", sgp, sgg, sgv, cfg.sub_n, 0, cfg.sub_cap, ["--prompt-format", "goedel_bank"], feedback=False) st.skip_if_empty = sgp ss.append(st) extra = ["--trajectory-cap-tokens", str(cfg.traj_cap), "--repair-solved", "--corrections-from", fbv, fbg] st = _pgv(cfg, f"agentic_fb_r{r}", dev_bank, fg, fv, 1, r, cfg.cap, extra) st.skip_if_empty = fbg ss.append(st) if mode == "subgoal": ag, av = f"{rd}/asm.gen.jsonl", f"{rd}/asm.ver.jsonl" ss.append(_self(cfg, f"agentic_asm_r{r}", "assemble", "--run-dir", cfg.run_dir, "--round", str(r), "--cap", str(cfg.cap))) st = Stage(f"agentic_asmverify_r{r}", [PY, str(REPO / "scripts/p2/verify_generations.py"), "--generations", ag, "--problems", dev, "--out", av, "--workers", str(cfg.workers), "--budget-s", "300", "--feedback"], False, [av]) st.skip_if_empty = ag ss.append(st) nxt.append((av, ag)) last = nxt ss.append(_self(cfg, "report", "report", "--run-dir", cfg.run_dir, "--budget", cfg.budget, "--rounds", str(cfg.rounds))) return ss class Runner: def run(self, argv: list, log: Path) -> int: log.parent.mkdir(parents=True, exist_ok=True) with open(log, "ab") as lf: return subprocess.call(argv, stdout=lf, stderr=subprocess.STDOUT, cwd=str(REPO)) def run_stages(cfg: Cfg, stages: list[Stage], runner, say=print, only: Optional[set] = None) -> int: for st in stages: if only and st.name not in only: continue mk = st.marker(cfg) if mk.exists(): say(f"skip {st.name} (done)") continue if st.skip_if_empty and Path(st.skip_if_empty).exists() and not Path(st.skip_if_empty).read_text().strip(): say(f"skip {st.name} (its input {st.skip_if_empty} is empty)") mk.parent.mkdir(parents=True, exist_ok=True) mk.write_text("empty") continue say(f"START {st.name}") rc = runner.run(_hg(cfg, st), Path(cfg.p("logs", st.name + ".log"))) say(f"END {st.name} rc={rc}") if rc != 0: say(f"STOP: {st.name} failed; re-running this command resumes (every stage is keyed and resumable)") return rc mk.parent.mkdir(parents=True, exist_ok=True) mk.write_text(time.strftime("%F %T")) return 0 # =========================================================================== 5. estimate MEASURED = { # docs/K5_LEVERS.md section 7: from the P2 baseline manifest (Goedel-8B, miniF2F-test, cap 40960) "box_tok_per_h": 522.5 * 3600, # end-to-end tokens/s of the whole 4xA10G box, generation overlapped with Lean "mean_attempt_tokens": {"minif2f": 5685.0, "proofnet": 9000.0}, # proofnet: ASSUMED 1.6x (no measurement yet) "fail_rate": {"minif2f": 0.36, "proofnet": 0.75}, # 1 - single-sample pass rate; proofnet ASSUMED } def estimate(sets: dict[str, int], cfg: Cfg, m: dict = MEASURED, repair_cost: float = 1.15, repair_success: float = 0.12, sub_share: float = 0.35) -> dict: """Box-hour estimate per arm. `sets` = {"minif2f": N, "proofnet": N}. The repair multiplier covers the longer (history-carrying) prompts; sub_share is the tokens a subgoal round spends relative to one attempt per failed parent.""" out: dict = {"assumptions": {"repair_cost": repair_cost, "repair_success": repair_success, "sub_share": sub_share, **{"box_tok_per_h": m["box_tok_per_h"]}}} tot: Counter = Counter() for s, n in sets.items(): a, f = m["mean_attempt_tokens"][s], m["fail_rate"][s] restart = n * cfg.n_restart * a f1 = f f2 = f * (1 - repair_success) correct = n * cfg.n_restart * a * repair_cost * (f1 + f2) agent_root = n * cfg.n_agentic * a agent = agent_root fa = f * 0.85 # bank-conditioned roots assumed slightly better for r in range(1, cfg.rounds): mode = route_for_round(cfg.routes, r) k = n * cfg.n_agentic * fa agent += k * a * (sub_share if mode == "subgoal" else repair_cost) fa *= (1 - repair_success) tot["restart"] += restart tot["correct"] += correct tot["agentic"] += agent out["tokens"] = dict(tot) out["box_hours"] = {k: v / m["box_tok_per_h"] for k, v in tot.items()} out["box_hours"]["total"] = sum(out["box_hours"].values()) return out # =========================================================================== 6. CLI def _read(path) -> list[dict]: return list(C.iter_jsonl(path)) if path and Path(path).exists() else [] def _problems(files: Iterable[str]) -> dict[str, dict]: out: dict[str, dict] = {} for f in files: for pid, rec in C.load_problems(f).items(): if pid in out and out[pid]["formal_statement"] != rec["formal_statement"]: raise C.ContractError(f"problem {pid!r} appears in two files with different statements") out[pid] = rec return out def _write(path, rows) -> int: return C.write_jsonl_atomic(path, rows) def cmd_prep(a) -> int: rd = Path(a.run_dir) probs = _problems(a.problems) _write(rd / "dev.jsonl", probs.values()) bank_entries: list[BankEntry] = [] report: dict = {"dev_problems": len(probs)} if a.bank_problems: train = _problems([a.bank_problems]) cands = bank_candidates(train, _read(a.bank_gens), _read(a.bank_vers)) eval_rows = list(probs.values()) + [r for f in a.eval_problems for r in _read(f)] bank_entries, dropped = decontaminate_bank(cands, eval_rows) report.update(bank_candidates=len(cands), bank_kept=len(bank_entries), bank_dropped=len(dropped), eval_items=len(eval_rows), dropped_reasons=dict(Counter(d["why"].split(":")[0] for d in dropped))) _write(rd / "bank.jsonl", (dataclasses.asdict(e) for e in bank_entries)) _write(rd / "bank_dropped.jsonl", dropped) rows = attach_bank(list(probs.values()), BankIndex(bank_entries), a.bank_k) _write(rd / "dev_bank.jsonl", rows) report["with_examples"] = sum(1 for r in rows if r["bank_examples"]) (rd / "prep.json").write_text(json.dumps(report, indent=1)) print(json.dumps(report)) return 0 def _pairs(args) -> tuple[list[dict], list[dict]]: gens, vers = [], [] for v, g in args: gens += _read(g) vers += _read(v) return gens, vers def cmd_route(a) -> int: """Agentic round k. Parents = failed, feedback-bearing nodes of round k-1 (every `--pairs` file). Subgoal rounds plan each parent through Lean; parents with nothing extractable, and every parent of a feedback round, go to the Goedel correction path via filtered copies of their (ver, gen) records.""" from align.rl.envs import subgoal_repair as SR rd = Path(a.run_dir, "agentic", f"round{a.round}") rd.mkdir(parents=True, exist_ok=True) probs = {r["problem_id"]: r for r in _read(Path(a.run_dir, "dev_bank.jsonl"))} gens, vers = _pairs(a.pairs) nodes = [(g, v) for g, v in _join(gens, vers) if int(g["round"]) == a.round - 1] st = Counter(parents_total=len(nodes)) fb, plans, sg_rows = [], [], [] probe_pool = None index = None bank = _read(Path(a.run_dir, "bank.jsonl")) if bank: index = BankIndex([BankEntry(**b) for b in bank]) for g, v in nodes: info = parent_info(g, v) if info is None: st["no_feedback_or_solved"] += 1 continue route = "feedback" if a.mode == "subgoal": if probe_pool is None: probe_pool = _open_pool(a.workers) plan = _plan_with_pool(probe_pool, probs[g["problem_id"]]["formal_statement"], g, v, SR) if plan is not None and plan.lemmas: route = "subgoal" rows = [] for j, gap in enumerate(plan.gaps): if gap.lemma is None: continue stmt = SR.lemma_problem_statement(plan, gap) row = {"problem_id": sg_problem_id(g, j), "source": "k5_subgoal", "split": "dev", "formal_statement": stmt, "informal_prefix": None, "statement_sha": C.statement_sha(stmt), "parent": [g["problem_id"], int(g["sample_idx"]), int(g["round"])], "gap_index": j} if index is not None: row["bank_examples"] = bank_examples(index.retrieve(stmt, a.bank_k)) rows.append(row) sg_rows += rows plans.append({"parent_key": [g["problem_id"], int(g["sample_idx"]), int(g["round"])], "plan": SR.plan_to_dict(plan), "sg_ids": [r["problem_id"] for r in rows]}) st[route] += 1 if route == "feedback": fb.append((g, v)) _write(rd / "fb_parents.gen.jsonl", (g for g, _ in fb)) _write(rd / "fb_parents.ver.jsonl", (v for _, v in fb)) _write(rd / "sg_problems.jsonl", sg_rows) _write(rd / "sg_plans.jsonl", plans) (rd / "route.json").write_text(json.dumps(dict(st), indent=1)) print(json.dumps(dict(st))) if probe_pool is not None: probe_pool.close() return 0 def _open_pool(workers: int): from align.verify.lean import ReplPool, find_toolchain from align.verify.lean.repl_pool import ReplLimits tc = find_toolchain() return ReplPool.from_toolchain(tc, n_workers=workers, limits=ReplLimits(), preflight=True, scratch_dir=str(Path(os.environ.get("TMPDIR", str(REPO / ".tmp"))) / "k5_route_pool")) def _plan_with_pool(pool, statement: str, g: dict, v: dict, SR): """SubgoalPlan for a failed node, lemma statements checked to elaborate; None when Lean cannot run it.""" from align.verify.lean.repl_pool import ReplError def work(w, _): try: probe = SR.repl_probe(w, statement) plan = SR.plan_subgoals(statement, g["lean_code"], v["repl_errors"], probe, parent_id=g["problem_id"], repl_code=v["repl_code"]) for gap in plan.gaps: if gap.lemma is not None and not SR.check_lemma_elaborates(w, plan, gap): gap.lemma, gap.why_not = None, "lemma_does_not_elaborate" return plan except (ReplError, ValueError): return None r = pool.map(work, [None])[0] return None if isinstance(r, BaseException) else r def cmd_assemble(a) -> int: from align.rl.envs import subgoal_repair as SR rd = Path(a.run_dir, "agentic", f"round{a.round}") plans = _read(rd / "sg_plans.jsonl") sg_gens = _read(rd / "sg_gen.jsonl") sg_vers = _read(rd / "sg_ver.jsonl") ver_by = {C.gen_key(v): v for v in sg_vers} by_pid: dict[str, list[tuple[dict, dict]]] = defaultdict(list) for g in sg_gens: v = ver_by.get(C.gen_key(g)) if v is None: raise ValueError(f"subgoal sample {C.gen_key(g)} is not verified: run the sg stage's verification to completion") by_pid[g["problem_id"]].append((g, v)) # parents' generation records, from every pair of the previous round parents = {} for f in sorted(Path(a.run_dir, "agentic").glob("gen_r*.jsonl")) + sorted(Path(a.run_dir, "agentic").glob("round*/asm.gen.jsonl")): for g in _read(f): parents[(g["problem_id"], int(g["sample_idx"]), int(g["round"]))] = g pvers = {} for f in sorted(Path(a.run_dir, "agentic").glob("ver_r*.jsonl")) + sorted(Path(a.run_dir, "agentic").glob("round*/asm.ver.jsonl")): for v in _read(f): pvers[(v["problem_id"], int(v["sample_idx"]), int(v["round"]))] = v gens, vers, st = [], [], Counter() for pl in plans: pk = tuple(pl["parent_key"]) pg, pv = parents[pk], pvers[pk] plan = SR.plan_from_dict(pl["plan"]) bodies, sub_tokens = {}, 0 for sid in pl["sg_ids"]: sub_tokens += sum(node_tokens(g) for g, _ in by_pid.get(sid, [])) for j, gap in enumerate(plan.gaps): if gap.lemma is None: continue sid = sg_problem_id(pg, j) ok = [g for g, v in by_pid.get(sid, []) if v["accepted"] and g.get("lean_code")] ok.sort(key=lambda g: len(g["lean_code"])) for g in ok: body = SR.lemma_body(g["lean_code"], gap.lemma.name) if body is not None: bodies[j] = body break gen, ver = make_asm_nodes(plan, pg, pv, bodies, sub_tokens, len(bodies), a.round, a.cap) gens.append(gen) if ver is not None: vers.append(ver) st["assembled"] += 1 st["gaps"] += len(plan.gaps) st["proven"] += len(bodies) st["unchanged_verdict_copied"] += ver is not None _write(rd / "asm.gen.jsonl", gens) if vers: _write(rd / "asm.ver.jsonl", vers) print(json.dumps(dict(st))) return 0 def _arm_files(run_dir: str, rounds: int) -> dict[str, tuple[list[str], list[str]]]: rd = Path(run_dir) ag = [rd / "agentic/gen_r0.jsonl"] av = [rd / "agentic/ver_r0.jsonl"] for r in range(1, rounds): ag += [rd / f"agentic/gen_r{r}.jsonl", rd / f"agentic/round{r}/asm.gen.jsonl"] av += [rd / f"agentic/ver_r{r}.jsonl", rd / f"agentic/round{r}/asm.ver.jsonl"] files = { "restart": ([rd / "restart/gen_r0.jsonl"], [rd / "restart/ver_r0.jsonl"]), "correct": ([rd / "restart/gen_r0.jsonl", rd / "correct/gen_r1.jsonl", rd / "correct/gen_r2.jsonl"], [rd / "restart/ver_r0.jsonl", rd / "correct/ver_r1.jsonl", rd / "correct/ver_r2.jsonl"]), "agentic": (ag, av), } return {k: ([str(x) for x in g], [str(x) for x in v]) for k, (g, v) in files.items()} def load_arms(run_dir: str, rounds: int = 4, arms: Iterable[str] = ARMS) -> dict[str, dict[str, list[Unit]]]: out = {} for arm, (gf, vf) in _arm_files(run_dir, rounds).items(): if arm not in arms: continue if arm == "correct" and not Path(gf[1]).exists(): continue # no repair round generated yet: round-0 roots alone are not the correction arm gens = [g for f in gf for g in _read(f)] vers = [v for f in vf for v in _read(f)] if not gens: continue out[arm] = units_restart(gens, vers) if arm == "restart" else units_chains(gens, vers, arm) return out def build_report(arms: dict[str, dict[str, list[Unit]]], budget_spec: str, n_perm: int = 256, seed: int = 0) -> dict: from align.eval.paired import holm, paired_bootstrap_ci, sign_flip_test if "restart" not in arms: raise ValueError("the restart arm defines the budget and the pairing; run it first") pids = sorted(arms["restart"]) budgets = budget_table(budget_spec, arms["restart"], pids) rep = equalise(arms, budgets, n_perm, seed) out: dict = {"budget": budget_spec, "n_problems": len(pids), "n_perm": n_perm, "seed": seed, "arms": {}, "curves": {}} for arm in arms: out["arms"][arm] = arm_summary(rep[arm][1.0], budgets, 1.0) out["curves"][arm] = {str(f): arm_summary(rep[arm][f], budgets, f)["mean_p_solve"] for f in rep[arm]} fam = [("correct", "restart"), ("agentic", "restart"), ("agentic", "correct")] tests, ps = [], [] for x, y in fam: if x in arms and y in arms: d = [rep[x][1.0][p].p_solve - rep[y][1.0][p].p_solve for p in pids] t = sign_flip_test(d, seed=seed) lo, hi = paired_bootstrap_ci(d, seed=seed) tests.append({"contrast": f"{x} - {y}", "mean_diff": t["observed"], "p": t["p"], "ci95": [lo, hi], "n": t["n"], "n_nonzero": t["n_nonzero"]}) ps.append(t["p"]) if ps: h = holm(ps) for t, adj, rej in zip(tests, h["adjusted"], h["reject"]): t["p_holm"], t["reject_at_0.05"] = adj, rej out["tests"] = tests out["family"] = "K5 pairwise (Holm over the contrasts present); the training-seed null of K0 does not apply: no training here" out["per_problem"] = {arm: {p: rep[arm][1.0][p].p_solve for p in pids} for arm in arms} return out def cmd_report(a) -> int: arms = load_arms(a.run_dir, a.rounds) rep = build_report(arms, a.budget, a.n_perm, a.seed) Path(a.run_dir, "k5_report.json").write_text(json.dumps(rep, indent=1)) for arm, s in rep["arms"].items(): print(f"{arm:9s} p_solve@B={s['mean_p_solve']:.4f} spent/B={s['spend_ratio']:.3f} underfilled={s['underfilled_problems']}") for t in rep["tests"]: print(f"{t['contrast']:22s} diff={t['mean_diff']:+.4f} CI[{t['ci95'][0]:+.4f},{t['ci95'][1]:+.4f}] p_holm={t.get('p_holm', float('nan')):.4f}") return 0 def cmd_status(a) -> int: arms = load_arms(a.run_dir, a.rounds) pids = sorted(arms["restart"]) budgets = budget_table(a.budget, arms["restart"], pids) for arm, by_p in arms.items(): rep = {p: replay_budget(by_p.get(p, []), budgets[p], a.n_perm, a.seed, p) for p in pids} need = units_needed(by_p, budgets, rep) print(json.dumps({"arm": arm, "underfilled": len(need), "extra_units_total": sum(need.values()), "worst": sorted(need.items(), key=lambda kv: -kv[1])[:5]})) return 0 def cmd_ledger(a) -> int: arms = load_arms(a.run_dir, a.rounds) for arm, by_p in arms.items(): rows = [dataclasses.asdict(u) for us in by_p.values() for u in us] _write(Path(a.run_dir, "ledger", f"units_{arm}.jsonl"), rows) print(arm, len(rows), "units over", len(by_p), "problems") return 0 def cmd_estimate(a) -> int: cfg = Cfg(run_dir="-", problems=[], n_restart=a.n_restart, n_agentic=a.n_agentic) sets = {"minif2f": a.minif2f, "proofnet": a.proofnet} print(json.dumps(estimate(sets, cfg), indent=1)) return 0 def main(argv=None) -> int: ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) sub = ap.add_subparsers(dest="cmd", required=True) def common(p, run=True): if run: p.add_argument("--run-dir", required=True) def cfgargs(p): d = Cfg(run_dir="", problems=[]) common(p) p.add_argument("--problems", nargs="+", required=True) p.add_argument("--model", default=d.model) p.add_argument("--seed", type=int, default=d.seed) p.add_argument("--cap", type=int, default=d.cap) p.add_argument("--traj-cap", type=int, default=d.traj_cap) p.add_argument("--n-restart", type=int, default=d.n_restart) p.add_argument("--n-agentic", type=int, default=d.n_agentic) p.add_argument("--rounds", type=int, default=d.rounds) p.add_argument("--routes", default=d.routes) p.add_argument("--sub-n", type=int, default=d.sub_n) p.add_argument("--sub-cap", type=int, default=d.sub_cap) p.add_argument("--bank-k", type=int, default=d.bank_k) p.add_argument("--budget", default=d.budget) p.add_argument("--workers", type=int, default=d.workers) p.add_argument("--bank-problems") p.add_argument("--bank-gens") p.add_argument("--bank-vers") p.add_argument("--eval-problems", nargs="*", default=[]) p.add_argument("--no-hostguard", dest="hostguard", action="store_false") p = sub.add_parser("plan", help="print the stages and exact command lines") cfgargs(p) p = sub.add_parser("run", help="execute the stages (resumable)") cfgargs(p) p.add_argument("--only", nargs="*", default=None) p = sub.add_parser("prep") common(p) p.add_argument("--problems", nargs="+", required=True) p.add_argument("--bank-problems") p.add_argument("--bank-gens") p.add_argument("--bank-vers") p.add_argument("--eval-problems", nargs="*", default=[]) p.add_argument("--bank-k", type=int, default=3) p = sub.add_parser("route") common(p) p.add_argument("--round", type=int, required=True) p.add_argument("--mode", choices=("subgoal", "feedback"), required=True) p.add_argument("--pairs", nargs=2, action="append", metavar=("VER", "GEN"), required=True) p.add_argument("--workers", type=int, default=2) p.add_argument("--bank-k", type=int, default=3) p.add_argument("--sub-n", type=int, default=4) p = sub.add_parser("assemble") common(p) p.add_argument("--round", type=int, required=True) p.add_argument("--cap", type=int, default=40960) for name, fn in (("report", cmd_report), ("status", cmd_status), ("ledger", cmd_ledger)): p = sub.add_parser(name) common(p) p.add_argument("--budget", default="restart_k:8") p.add_argument("--rounds", type=int, default=4) p.add_argument("--n-perm", type=int, default=256) p.add_argument("--seed", type=int, default=0) p = sub.add_parser("estimate") p.add_argument("--minif2f", type=int, default=226) p.add_argument("--proofnet", type=int, default=185) p.add_argument("--n-restart", type=int, default=32) p.add_argument("--n-agentic", type=int, default=8) a = ap.parse_args(argv) if a.cmd in ("plan", "run"): cfg = Cfg(run_dir=a.run_dir, problems=a.problems, model=a.model, seed=a.seed, cap=a.cap, traj_cap=a.traj_cap, n_restart=a.n_restart, n_agentic=a.n_agentic, rounds=a.rounds, routes=a.routes, sub_n=a.sub_n, sub_cap=a.sub_cap, bank_k=a.bank_k, budget=a.budget, workers=a.workers, bank_problems=a.bank_problems, bank_gens=a.bank_gens, bank_vers=a.bank_vers, eval_problems=a.eval_problems, hostguard=a.hostguard) stages = build_stages(cfg) if a.cmd == "plan": for st in stages: print(f"# {st.name} [{'GPU' if st.gpu else 'CPU'}]\n{' '.join(shlex.quote(x) for x in _hg(cfg, st))}\n") return 0 return run_stages(cfg, stages, Runner(), only=set(a.only) if a.only else None) return {"prep": cmd_prep, "route": cmd_route, "assemble": cmd_assemble, "report": cmd_report, "status": cmd_status, "ledger": cmd_ledger, "estimate": cmd_estimate}[a.cmd](a) if __name__ == "__main__": raise SystemExit(main())