"""Single-file simulator runtime for the v3 benchmark. Task simulator directories contain `state.joblib` and `sample.csv`. The public entry point is `load(sim_dir)`, which selects the Type I or Type II runtime from the saved schema. Some `state.joblib` files pickle `ResidualBootstrap` under the historical `data_aug.sim2.bootstrap` path. This module registers that path as an alias to itself so those states unpickle without a `data_aug` dependency. """ from __future__ import annotations import importlib.util import math import sys import types from dataclasses import dataclass from functools import lru_cache from pathlib import Path from typing import Any, Callable, Dict, Optional import joblib import numpy as np import pandas as pd DEFAULT_MAX_ROWS = 50 DEFAULT_OVERSAMPLE = 20 HARD_LIMIT = 5000 FLOOR_FOR_LOG = 1e-12 def safe_float(value: Any) -> Optional[float]: """Convert finite numeric values to plain Python floats for JSON-like output.""" try: number = float(value) except (TypeError, ValueError): return None return None if math.isnan(number) or math.isinf(number) else number def module_from_source(source: str, module_name: str, source_name: str): module = types.ModuleType(module_name) exec(compile(source, source_name, "exec"), module.__dict__) return module def load_formula_file(task_dir: Path, formula_id: str, module_name: str): formula_path = task_dir / "formulas" / f"{formula_id}.py" spec = importlib.util.spec_from_file_location(module_name, formula_path) if spec is None or spec.loader is None: raise ImportError(f"could not load formula module from {formula_path}") module = importlib.util.module_from_spec(spec) spec.loader.exec_module(module) return module def group_id_key(value: Any) -> str: """Normalize user-supplied group ids to the string keys stored in state.""" try: number = float(value) except (TypeError, ValueError): return str(value) if math.isfinite(number) and number.is_integer(): return str(int(number)) return str(value) def group_id_value(key: str) -> Any: """Return a compact JSON-like group id value for output rows.""" try: return int(key) except ValueError: return key def _transform_axes(X: np.ndarray, x_axes: list[str]) -> np.ndarray: """Apply per-column log10 to 'log10' axes; leave 'linear' columns alone.""" Xt = np.array(X, dtype=float, copy=True) for j, ax in enumerate(x_axes): if ax == "log10": Xt[:, j] = np.log10(np.maximum(Xt[:, j], FLOOR_FOR_LOG)) return Xt class ResidualBootstrap: """k-NN residual resampler over real data. For a query point X*, draw a residual from the empirical residuals of the nearest real data points in standardized input space. """ def __init__(self, x_axes: list[str], k_frac: float = 0.15, k_min: int = 8, k_max: int = 64): self.x_axes = list(x_axes) self.k_frac = float(k_frac) self.k_min = int(k_min) self.k_max = int(k_max) self._Xs: np.ndarray | None = None self._res: np.ndarray | None = None self._mean: np.ndarray | None = None self._std: np.ndarray | None = None self._tree = None def fit(self, X_real: np.ndarray, residuals: np.ndarray) -> "ResidualBootstrap": X_real = np.atleast_2d(np.asarray(X_real, dtype=float)) res = np.asarray(residuals, dtype=float).ravel() finite = np.isfinite(res) & np.all(np.isfinite(X_real), axis=1) X_real, res = X_real[finite], res[finite] if len(res) == 0: raise ValueError("no finite (X, residual) pairs to fit bootstrap") Xt = _transform_axes(X_real, self.x_axes) self._mean = Xt.mean(axis=0) self._std = Xt.std(axis=0) self._std[self._std == 0] = 1.0 self._Xs = (Xt - self._mean) / self._std self._res = res self._tree = None return self @property def n(self) -> int: return 0 if self._res is None else len(self._res) def _k(self) -> int: return int(np.clip(round(self.n * self.k_frac), min(self.k_min, self.n), min(self.k_max, self.n))) def _ensure_tree(self): if self._tree is None and self.n >= self.k_min: try: from scipy.spatial import cKDTree self._tree = cKDTree(self._Xs) except Exception: self._tree = "brute" return self._tree def _neighbour_idx(self, Xq_s: np.ndarray, k: int) -> np.ndarray: """Return (m, k) neighbour indices for standardized queries Xq_s.""" tree = self._ensure_tree() if tree is not None and tree != "brute": _, idx = tree.query(Xq_s, k=k) return np.atleast_2d(idx).reshape(len(Xq_s), k) out = np.empty((len(Xq_s), k), dtype=int) for i, q in enumerate(Xq_s): d = np.sum((self._Xs - q) ** 2, axis=1) out[i] = np.argpartition(d, min(k, self.n) - 1)[:k] return out def sample(self, X_query: np.ndarray, rng: np.random.Generator) -> np.ndarray: """Draw one residual per query row with replacement from its k-NN.""" X_query = np.atleast_2d(np.asarray(X_query, dtype=float)) m = len(X_query) if self.n < self.k_min: return self._res[rng.integers(0, self.n, size=m)] Xt = _transform_axes(X_query, self.x_axes) Xq_s = (Xt - self._mean) / self._std k = self._k() nbr = self._neighbour_idx(Xq_s, k) pick = rng.integers(0, k, size=m) chosen = nbr[np.arange(m), pick] return self._res[chosen] def predictive_interval(self, X_query: np.ndarray, lo: float = 0.1, hi: float = 0.9) -> tuple[np.ndarray, np.ndarray]: """Per-query residual quantiles over the local neighbourhood.""" X_query = np.atleast_2d(np.asarray(X_query, dtype=float)) m = len(X_query) if self.n < self.k_min: ql, qh = np.quantile(self._res, [lo, hi]) return np.full(m, ql), np.full(m, qh) Xt = _transform_axes(X_query, self.x_axes) Xq_s = (Xt - self._mean) / self._std nbr = self._neighbour_idx(Xq_s, self._k()) local = self._res[nbr] return (np.quantile(local, lo, axis=1), np.quantile(local, hi, axis=1)) def local_std(self, X_query: np.ndarray) -> np.ndarray: """Per-query residual std over the local neighbourhood.""" X_query = np.atleast_2d(np.asarray(X_query, dtype=float)) m = len(X_query) if self.n < self.k_min: return np.full(m, float(np.std(self._res))) Xt = _transform_axes(X_query, self.x_axes) Xq_s = (Xt - self._mean) / self._std nbr = self._neighbour_idx(Xq_s, self._k()) return np.std(self._res[nbr], axis=1) def local_mean(self, X_query: np.ndarray) -> np.ndarray: """Per-query mean residual over the local neighbourhood.""" X_query = np.atleast_2d(np.asarray(X_query, dtype=float)) m = len(X_query) if self.n < self.k_min: return np.full(m, float(np.mean(self._res))) Xt = _transform_axes(X_query, self.x_axes) Xq_s = (Xt - self._mean) / self._std nbr = self._neighbour_idx(Xq_s, self._k()) return np.mean(self._res[nbr], axis=1) def __getstate__(self): state = self.__dict__.copy() state["_tree"] = None return state def _register_pickle_alias() -> None: data_aug = sys.modules.get("data_aug") if data_aug is None: data_aug = types.ModuleType("data_aug") data_aug.__path__ = [] sys.modules["data_aug"] = data_aug sim2 = sys.modules.get("data_aug.sim2") if sim2 is None: sim2 = types.ModuleType("data_aug.sim2") sim2.__path__ = [] sys.modules["data_aug.sim2"] = sim2 sys.modules.setdefault("data_aug.sim2.bootstrap", sys.modules[__name__]) setattr(data_aug, "sim2", sim2) setattr(sim2, "bootstrap", sys.modules["data_aug.sim2.bootstrap"]) _register_pickle_alias() @dataclass class TypeISimulatorBundle: fetch_where: Callable fetch_data: Callable load_sample: Callable tool_description: Callable formula_info: Callable budget_status: Callable def _load_typeI_formula(task_dir: Path, formula_id: str): return load_formula_file( task_dir, formula_id, f"_sim2rt_{task_dir.name}_{formula_id}" ) def _build_typeI_simulator(wrapper_path: str | Path) -> TypeISimulatorBundle: sim_dir = Path(wrapper_path).resolve().parent formula_id = sim_dir.name task_dir = sim_dir.parent.parent state_path = sim_dir / "state.joblib" sample_csv = sim_dir / "sample.csv" @lru_cache(maxsize=1) def _state() -> Dict[str, Any]: return joblib.load(state_path) @lru_cache(maxsize=1) def _F(): src = _state().get("formula_source") if src: return module_from_source( src, f"_sim2rt_src_{formula_id}", f"", ) return _load_typeI_formula(task_dir, formula_id) @lru_cache(maxsize=1) def _real_df() -> pd.DataFrame: return pd.DataFrame(_state()["real_rows"]) budget = {"used": 0} def _remaining() -> int: return max(0, int(_state()["fetch_budget_rows"]) - budget["used"]) def budget_status() -> Dict[str, Any]: s = _state() return {"fetch_budget_rows": int(s["fetch_budget_rows"]), "used": budget["used"], "remaining": _remaining()} def _generate(X_used: np.ndarray, rng) -> np.ndarray: s = _state() F = _F() space = s["residual_space"] ns = float(s["noise_scale"]) law = dict(s["law_constants"]) y_clean = np.asarray(F.predict(X_used, **law)) if np.iscomplexobj(y_clean): y_clean = np.real(y_clean) y_clean = y_clean.astype(float) r = s["bootstrap"].sample(X_used, rng) * ns if ns != 0 else np.zeros(len(X_used)) if space == "log": floor = s.get("p_min_floor") or FLOOR_FOR_LOG lc = np.log10(np.maximum(y_clean, floor)) return np.maximum(10.0 ** (lc + r), floor) return y_clean + r def load_sample() -> pd.DataFrame: return pd.read_csv(sample_csv) def fetch_data(seed: Optional[int] = None, n_samples: int = 1, **input_vals) -> Dict[str, Any]: s = _state() used = s["used_inputs"] support = s["support"] target = s["target"] unknown = [k for k in input_vals if k not in used] if unknown: return {"error": f"unknown input(s) {unknown}; valid inputs: {used}"} arrays = {} for c in used: v = input_vals.get(c) if v is None: return {"error": f"missing input {c!r}; pass {c}=[...]"} try: arrays[c] = np.asarray(v, dtype=float).ravel() except Exception as e: return {"error": f"could not parse {c}: {type(e).__name__}: {e}"} n_pts = len(arrays[used[0]]) if any(len(a) != n_pts for a in arrays.values()): return {"error": "all input arrays must have equal length"} if n_pts == 0: return {"source": "synthetic", "rows": [], "n_returned": 0, "n_clipped": 0, "budget": budget_status()} n_per = max(1, int(n_samples)) total = n_pts * n_per if _remaining() <= 0: return {"error": "fetch budget exhausted", "budget": budget_status()} if total > _remaining(): return {"error": f"request ({total} rows) exceeds remaining fetch " f"budget ({_remaining()})", "budget": budget_status()} n_clipped = 0 for c in used: lo, hi = support[c]["min"], support[c]["max"] a = arrays[c] n_clipped += int(((a < lo) | (a > hi)).sum()) arrays[c] = np.clip(a, lo, hi) X = np.repeat(np.stack([arrays[c] for c in used], axis=1), n_per, axis=0) rng = np.random.default_rng(seed) y = _generate(X, rng) budget["used"] += total rows = [{target: safe_float(y[i]), **{c: safe_float(X[i, j]) for j, c in enumerate(used)}} for i in range(len(X))] return {"source": "synthetic", "n_returned": len(rows), "n_clipped": n_clipped, "rows": rows, "budget": budget_status()} def fetch_where(query: str, limit: Optional[int] = None, max_rows_per_request: int = DEFAULT_MAX_ROWS, seed: Optional[int] = None, oversample: int = DEFAULT_OVERSAMPLE) -> Dict[str, Any]: s = _state() used = s["used_inputs"] target = s["target"] all_in = s["all_input_cols"] if not isinstance(query, str) or not query.strip(): return {"error": "missing 'query' expression"} cap = max_rows_per_request if limit is None else min(int(limit), max_rows_per_request) cap = max(1, min(cap, HARD_LIMIT)) if _remaining() <= 0: return {"error": "fetch budget exhausted", "budget": budget_status()} cap = min(cap, _remaining()) n_draw = min(cap * max(1, int(oversample)), HARD_LIMIT, len(_real_df()) * 50 or HARD_LIMIT) rng = np.random.default_rng(seed) real = _real_df() idx = rng.integers(0, len(real), size=n_draw) pool = real.iloc[idx].reset_index(drop=True).copy() X_used = pool[used].to_numpy(float) pool[target] = _generate(X_used, rng) pool = pool[[target] + [c for c in all_in]] try: matched = pool.query(query) except Exception as e: return {"error": f"query failed: {type(e).__name__}: {e}", "available_columns": list(pool.columns)} n_match = int(len(matched)) matched = matched.iloc[:cap] budget["used"] += int(len(matched)) out = {"where_evaluated": query, "n_matching_in_pool": n_match, "n_returned": int(len(matched)), target: [safe_float(v) for v in matched[target]], **{c: [safe_float(v) for v in matched[c]] for c in all_in}, "budget": budget_status()} if n_match > cap: out["_truncated_to"] = cap return out def formula_info() -> Dict[str, Any]: s = _state() return {"formula_id": s.get("formula_id"), "target": s["target"], "metric": s["metric"], "used_inputs": s["used_inputs"], "formula_source": s.get("formula_source"), "formula_doc": s.get("formula_doc"), "equation_loc": s.get("equation_loc"), "paper_ref": s.get("paper_ref"), "law_constants": s.get("law_constants"), "phase": "typeI"} def tool_description() -> str: s = _state() used = s["used_inputs"] support = s["support"] target = s["target"] lines = [ "Synthetic data oracle for this task. Two fetch tools, both metered " f"against a finite budget of {int(s['fetch_budget_rows'])} total rows:", " fetch_data(**inputs, n_samples=1, seed=None) — evaluate at explicit " "input points (pass each input as a list).", " fetch_where(query, limit=20) — query a fresh synthetic pool " f"(pandas df.query over [{', '.join(used + [target])}]).", " load_sample() — a fixed generator sample (free, does not cost budget).", "Queryable input ranges:", ] for c in used: lines.append(f" {c} ∈ [{support[c]['min']:.4g}, {support[c]['max']:.4g}]") lines.append("Each fetch is a FRESH draw: formula(X) + a residual resampled " "from nearby real data (heteroscedastic, non-Gaussian).") return "\n".join(lines) return TypeISimulatorBundle( fetch_where=fetch_where, fetch_data=fetch_data, load_sample=load_sample, tool_description=tool_description, formula_info=formula_info, budget_status=budget_status, ) @dataclass class TypeIISimulatorBundle: list_groups: Callable fetch_data: Callable fetch_where: Callable load_sample: Callable budget_status: Callable tool_description: Callable form_info: Callable def _load_typeII_form(task_dir: Path, form_id: str): return load_formula_file(task_dir, form_id, f"_t2rt_{form_id}") def _build_typeII_simulator(wrapper_path: str | Path) -> TypeIISimulatorBundle: sim_dir = Path(wrapper_path).resolve().parent form_id = sim_dir.name task_dir = sim_dir.parent.parent state_path = sim_dir / "state.joblib" sample_csv = sim_dir / "sample.csv" @lru_cache(maxsize=1) def _state(): return joblib.load(state_path) @lru_cache(maxsize=1) def _F(): src = _state().get("formula_source") if src: return module_from_source( src, f"_t2rt_src_{form_id}", f"", ) return _load_typeII_form(task_dir, form_id) budget = {"used": 0} def _remaining(): return max(0, int(_state()["fetch_budget_rows"]) - budget["used"]) def budget_status(): s = _state() return {"fetch_budget_rows": int(s["fetch_budget_rows"]), "used": budget["used"], "remaining": _remaining()} def _gen(gid: str, X_used: np.ndarray, rng) -> np.ndarray: s = _state() F = _F() group = s["groups"][gid] space = s["residual_space"] ns = float(group.get("noise_scale", s["noise_scale"])) y = np.asarray(F.predict(X_used, **group["params"]), float) r = group["bootstrap"].sample(X_used, rng) * ns if space == "log": floor = s.get("p_min_floor") or FLOOR_FOR_LOG return np.maximum(10.0 ** (np.log10(np.maximum(y, floor)) + r), floor) return y + r def list_groups(): s = _state() return {"n_groups": len(s["groups"]), "used_inputs": s["used_inputs"], "groups": {gid: {"n": g["n"], "support": g["support"]} for gid, g in s["groups"].items()}} def load_sample() -> pd.DataFrame: return pd.read_csv(sample_csv) def fetch_data(group_id=None, seed: Optional[int] = None, n_samples: int = 1, **inputs): s = _state() used = s["used_inputs"] target = s["target"] unknown = [k for k in inputs if k not in used] if unknown: return {"error": f"unknown input(s) {unknown}; valid inputs: {used}"} arrays = {} for c in used: v = inputs.get(c) if v is None: return {"error": f"missing input {c!r}; pass {c}=[...]"} arrays[c] = np.asarray(v, float).ravel() n_pts = len(arrays[used[0]]) if any(len(a) != n_pts for a in arrays.values()): return {"error": "all input arrays must have equal length"} if n_pts == 0: return {"group_id": group_id, "n_returned": 0, "n_clipped": 0, "rows": [], "budget": budget_status()} if isinstance(group_id, (list, tuple, np.ndarray, pd.Series)): group_ids = np.asarray(group_id, dtype=object).ravel() if len(group_ids) != n_pts: return {"error": "group_id must be scalar or have one value per input point"} gid_keys = [group_id_key(g) for g in group_ids] else: gid = group_id_key(group_id) gid_keys = [gid] * n_pts unknown_groups = sorted({g for g in gid_keys if g not in s["groups"]}) if unknown_groups: return {"error": f"unknown group_id {unknown_groups}; call list_groups()"} n_per = max(1, int(n_samples)) total = n_pts * n_per if total > _remaining(): return {"error": f"request ({total}) exceeds remaining budget ({_remaining()})", "budget": budget_status()} n_clipped = 0 clipped = {c: arrays[c].copy() for c in used} for i, gid in enumerate(gid_keys): support = s["groups"][gid]["support"] for c in used: lo, hi = support[c]["min"], support[c]["max"] value = clipped[c][i] if value < lo or value > hi: n_clipped += 1 clipped[c][i] = np.clip(value, lo, hi) X = np.repeat(np.stack([clipped[c] for c in used], axis=1), n_per, axis=0) gids_repeated = np.repeat(np.asarray(gid_keys, dtype=object), n_per) y = np.empty(len(X), dtype=float) rng = np.random.default_rng(seed) for gid in sorted(set(gid_keys)): mask = gids_repeated == gid y[mask] = _gen(gid, X[mask], rng) budget["used"] += total rows = [{target: safe_float(y[i]), **{c: safe_float(X[i, j]) for j, c in enumerate(used)}, "group_id": group_id_value(str(gids_repeated[i]))} for i in range(len(X))] return {"group_id": group_id, "n_returned": len(rows), "n_clipped": n_clipped, "rows": rows, "budget": budget_status()} def fetch_where(group_id=None, query: str = "", limit: Optional[int] = None, max_rows_per_request: int = DEFAULT_MAX_ROWS, seed: Optional[int] = None, oversample: int = 20): s = _state() used = s["used_inputs"] target = s["target"] all_in = s["all_input_cols"] gid = str(group_id) if gid not in s["groups"]: return {"error": f"unknown group_id {group_id!r}; call list_groups()"} if not isinstance(query, str) or not query.strip(): return {"error": "missing 'query'"} cap = max(1, min(max_rows_per_request if limit is None else min(int(limit), max_rows_per_request), HARD_LIMIT, _remaining())) if cap <= 0: return {"error": "fetch budget exhausted", "budget": budget_status()} real = pd.DataFrame(s["groups"][gid]["real_rows"]) n_draw = min(cap * max(1, int(oversample)), HARD_LIMIT, max(len(real) * 50, HARD_LIMIT)) rng = np.random.default_rng(seed) pool = real.iloc[rng.integers(0, len(real), size=n_draw)].reset_index(drop=True).copy() pool[target] = _gen(gid, pool[used].to_numpy(float), rng) pool = pool[[target] + list(all_in)] try: matched = pool.query(query).iloc[:cap] except Exception as e: return {"error": f"query failed: {type(e).__name__}: {e}", "columns": list(pool.columns)} budget["used"] += int(len(matched)) return {"group_id": gid, "where": query, "n_returned": int(len(matched)), target: [safe_float(v) for v in matched[target]], **{c: [safe_float(v) for v in matched[c]] for c in all_in}, "budget": budget_status()} def form_info(): s = _state() return {"form_id": s.get("form_id"), "formula_source": s.get("formula_source"), "formula_doc": s.get("formula_doc"), "equation_loc": s.get("equation_loc"), "paper_ref": s.get("paper_ref"), "group_params": {gid: g["params"] for gid, g in s["groups"].items()}} def tool_description(): s = _state() return ("Multi-group synthetic oracle: recover the UNIVERSAL form behind all groups.\n" f" {len(s['groups'])} groups, inputs {s['used_inputs']}, " f"budget {int(s['fetch_budget_rows'])} rows.\n" " list_groups() — group ids + per-group input ranges (free).\n" " fetch_data(group_id, **inputs, n_samples=1) — eval that group at points.\n" " fetch_where(group_id, query, limit=20) — query a fresh pool for that group.\n" " load_sample() — fixed noisy sample across all groups (free).\n" "Each group has its OWN local params + heteroscedastic noise; the FORM is shared.") return TypeIISimulatorBundle( list_groups, fetch_data, fetch_where, load_sample, budget_status, tool_description, form_info, ) def load(sim_dir: str | Path): """Build a simulator bundle from a task's `simulator/` directory.""" sim_dir = Path(sim_dir).resolve() state_path = sim_dir / "state.joblib" if not state_path.exists(): raise FileNotFoundError(f"no state.joblib under {sim_dir}") schema = str(joblib.load(state_path).get("schema_version", "")) anchor = sim_dir / "_wrapper.py" if "typeII" in schema: return _build_typeII_simulator(anchor) return _build_typeI_simulator(anchor) __all__ = ["load", "ResidualBootstrap"]