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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"<formula_source:{formula_id}>",
)
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"<formula_source:{form_id}>",
)
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"]
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