# Core family size per construct

A *core* is one syntactic realisation of a construct. The battery builds **eight** per construct and the bootstrap resamples them. The draft says the eight are "drawn from a family of at least 24"; this table is that family.

The family size is `prod(len(levels[axis]))` inside `generate/core.py:spread()` — the number of distinct cores the generator could build — read by intercepting `spread`, so the figure comes from the generator itself. Where a construct's cores split by subtype, `spread` is called once per pool; the **minimum** over pools is the construct's figure, since a draw comes from one pool.

**Measured for 188 of the 188 built constructs.** Minimum **42**, median 210, maximum 1280. **The claim holds: every measured family has at least 24 members.**

| construct | family kind | pools | family size (min) |
|---|---|---:|---:|
| `Starred` | expressions | 1 | 42 |
| `Break` | simple | 1 | 56 |
| `Continue` | simple | 1 | 56 |
| `Global` | simple | 1 | 56 |
| `Nonlocal` | simple | 1 | 56 |
| `ArithmeticError` | builtin | 1 | 63 |
| `AssertionError` | builtin | 1 | 63 |
| `AttributeError` | builtin | 1 | 63 |
| `BaseException` | builtin | 1 | 63 |
| `BaseExceptionGroup` | builtin | 1 | 63 |
| `BlockingIOError` | builtin | 1 | 63 |
| `BrokenPipeError` | builtin | 1 | 63 |
| `BufferError` | builtin | 1 | 63 |
| `BytesWarning` | builtin | 1 | 63 |
| `ChildProcessError` | builtin | 1 | 63 |
| `ConnectionAbortedError` | builtin | 1 | 63 |
| `ConnectionError` | builtin | 1 | 63 |
| `ConnectionRefusedError` | builtin | 1 | 63 |
| `ConnectionResetError` | builtin | 1 | 63 |
| `DeprecationWarning` | builtin | 1 | 63 |
| `EOFError` | builtin | 1 | 63 |
| `Ellipsis` | builtin | 1 | 63 |
| `EncodingWarning` | builtin | 1 | 63 |
| `EnvironmentError` | builtin | 1 | 63 |
| `Exception` | builtin | 1 | 63 |
| `ExceptionGroup` | builtin | 1 | 63 |
| `False` | builtin | 1 | 63 |
| `FileExistsError` | builtin | 1 | 63 |
| `FileNotFoundError` | builtin | 1 | 63 |
| `FloatingPointError` | builtin | 1 | 63 |
| `FutureWarning` | builtin | 1 | 63 |
| `GeneratorExit` | builtin | 1 | 63 |
| `IOError` | builtin | 1 | 63 |
| `ImportError` | builtin | 1 | 63 |
| `ImportWarning` | builtin | 1 | 63 |
| `IndentationError` | builtin | 1 | 63 |
| `IndexError` | builtin | 1 | 63 |
| `InterruptedError` | builtin | 1 | 63 |
| `IsADirectoryError` | builtin | 1 | 63 |
| `KeyError` | builtin | 1 | 63 |
| `KeyboardInterrupt` | builtin | 1 | 63 |
| `LookupError` | builtin | 1 | 63 |
| `MemoryError` | builtin | 1 | 63 |
| `ModuleNotFoundError` | builtin | 1 | 63 |
| `NameError` | builtin | 1 | 63 |
| `None` | builtin | 1 | 63 |
| `NotADirectoryError` | builtin | 1 | 63 |
| `NotImplemented` | builtin | 1 | 63 |
| `NotImplementedError` | builtin | 1 | 63 |
| `OSError` | builtin | 1 | 63 |
| `OverflowError` | builtin | 1 | 63 |
| `PendingDeprecationWarning` | builtin | 1 | 63 |
| `PermissionError` | builtin | 1 | 63 |
| `ProcessLookupError` | builtin | 1 | 63 |
| `RecursionError` | builtin | 1 | 63 |
| `ReferenceError` | builtin | 1 | 63 |
| `ResourceWarning` | builtin | 1 | 63 |
| `RuntimeError` | builtin | 1 | 63 |
| `RuntimeWarning` | builtin | 1 | 63 |
| `StopAsyncIteration` | builtin | 1 | 63 |
| `StopIteration` | builtin | 1 | 63 |
| `SyntaxError` | builtin | 1 | 63 |
| `SyntaxWarning` | builtin | 1 | 63 |
| `SystemError` | builtin | 1 | 63 |
| `SystemExit` | builtin | 1 | 63 |
| `TabError` | builtin | 1 | 63 |
| `TimeoutError` | builtin | 1 | 63 |
| `True` | builtin | 1 | 63 |
| `TypeError` | builtin | 1 | 63 |
| `UnboundLocalError` | builtin | 1 | 63 |
| `UnicodeDecodeError` | builtin | 1 | 63 |
| `UnicodeEncodeError` | builtin | 1 | 63 |
| `UnicodeError` | builtin | 1 | 63 |
| `UnicodeTranslateError` | builtin | 1 | 63 |
| `UnicodeWarning` | builtin | 1 | 63 |
| `UserWarning` | builtin | 1 | 63 |
| `ValueError` | builtin | 1 | 63 |
| `Warning` | builtin | 1 | 63 |
| `ZeroDivisionError` | builtin | 1 | 63 |
| `ClassDef` | compound | 1 | 64 |
| `IfExp` | expressions | 1 | 70 |
| `BoolOp` | expressions | 1 | 105 |
| `UnaryOp` | expressions | 1 | 105 |
| `Assert` | simple | 1 | 112 |
| `Delete` | simple | 1 | 112 |
| `Pass` | simple | 1 | 112 |
| `Raise` | simple | 1 | 112 |
| `AnnAssign` | simple | 1 | 140 |
| `Lambda` | expressions | 1 | 140 |
| `Return` | simple | 1 | 140 |
| `Import` | simple | 1 | 175 |
| `ImportFrom` | simple | 1 | 175 |
| `Try` | compound | 1 | 192 |
| `Assign` | simple | 1 | 210 |
| `abs` | builtin | 1 | 210 |
| `aiter` | builtin | 1 | 210 |
| `all` | builtin | 1 | 210 |
| `anext` | builtin | 1 | 210 |
| `any` | builtin | 1 | 210 |
| `ascii` | builtin | 1 | 210 |
| `bin` | builtin | 1 | 210 |
| `bool` | builtin | 1 | 210 |
| `breakpoint` | builtin | 1 | 210 |
| `bytearray` | builtin | 1 | 210 |
| `bytes` | builtin | 1 | 210 |
| `callable` | builtin | 1 | 210 |
| `chr` | builtin | 1 | 210 |
| `classmethod` | builtin | 1 | 210 |
| `compile` | builtin | 1 | 210 |
| `complex` | builtin | 1 | 210 |
| `delattr` | builtin | 1 | 210 |
| `dict` | builtin | 1 | 210 |
| `dir` | builtin | 1 | 210 |
| `divmod` | builtin | 1 | 210 |
| `enumerate` | builtin | 1 | 210 |
| `eval` | builtin | 1 | 210 |
| `exec` | builtin | 1 | 210 |
| `filter` | builtin | 1 | 210 |
| `float` | builtin | 1 | 210 |
| `format` | builtin | 1 | 210 |
| `frozenset` | builtin | 1 | 210 |
| `getattr` | builtin | 1 | 210 |
| `globals` | builtin | 1 | 210 |
| `hasattr` | builtin | 1 | 210 |
| `hash` | builtin | 1 | 210 |
| `hex` | builtin | 1 | 210 |
| `id` | builtin | 1 | 210 |
| `input` | builtin | 1 | 210 |
| `int` | builtin | 1 | 210 |
| `isinstance` | builtin | 1 | 210 |
| `issubclass` | builtin | 1 | 210 |
| `iter` | builtin | 1 | 210 |
| `len` | builtin | 1 | 210 |
| `list` | builtin | 1 | 210 |
| `locals` | builtin | 1 | 210 |
| `map` | builtin | 1 | 210 |
| `max` | builtin | 1 | 210 |
| `memoryview` | builtin | 1 | 210 |
| `min` | builtin | 1 | 210 |
| `next` | builtin | 1 | 210 |
| `object` | builtin | 1 | 210 |
| `oct` | builtin | 1 | 210 |
| `open` | builtin | 1 | 210 |
| `ord` | builtin | 1 | 210 |
| `pow` | builtin | 1 | 210 |
| `print` | builtin | 1 | 210 |
| `property` | builtin | 1 | 210 |
| `range` | builtin | 1 | 210 |
| `repr` | builtin | 1 | 210 |
| `reversed` | builtin | 1 | 210 |
| `round` | builtin | 1 | 210 |
| `set` | builtin | 1 | 210 |
| `setattr` | builtin | 1 | 210 |
| `slice` | builtin | 1 | 210 |
| `sorted` | builtin | 1 | 210 |
| `staticmethod` | builtin | 1 | 210 |
| `str` | builtin | 1 | 210 |
| `sum` | builtin | 1 | 210 |
| `super` | builtin | 1 | 210 |
| `tuple` | builtin | 1 | 210 |
| `type` | builtin | 1 | 210 |
| `vars` | builtin | 1 | 210 |
| `zip` | builtin | 1 | 210 |
| `Attribute` | expressions | 1 | 224 |
| `Set` | expressions | 1 | 224 |
| `Tuple` | expressions | 1 | 224 |
| `AugAssign` | simple | 1 | 245 |
| `Dict` | expressions | 1 | 245 |
| `List` | expressions | 1 | 245 |
| `Call` | expressions | 1 | 252 |
| `Slice` | expressions | 1 | 280 |
| `AsyncWith` | compound | 1 | 288 |
| `Match` | compound | 1 | 288 |
| `With` | compound | 1 | 288 |
| `NamedExpr` | expressions | 1 | 336 |
| `Subscript` | expressions | 1 | 336 |
| `BinOp` | expressions | 1 | 392 |
| `Compare` | expressions | 1 | 448 |
| `If` | compound | 1 | 480 |
| `While` | compound | 1 | 512 |
| `DictComp` | comprehensions | 1 | 960 |
| `GeneratorExp` | comprehensions | 1 | 960 |
| `ListComp` | comprehensions | 1 | 960 |
| `SetComp` | comprehensions | 1 | 960 |
| `AsyncFunctionDef` | compound | 1 | 1008 |
| `FunctionDef` | compound | 1 | 1008 |
| `AsyncFor` | compound | 1 | 1280 |
| `For` | compound | 1 | 1280 |