from typing import Literal

from sympy.core.add import Add
from sympy.core.mul import Mul
from sympy.core.power import Pow
from sympy.series.order import Order

def is_sqrt(expr) -> bool: ...
def sqrt_depth(p) -> Literal[1, 0]: ...
def is_algebraic(p) -> bool: ...
def sqrtdenest(expr, max_iter=...) -> Mul | Pow | Order | Add | None: ...

class SqrtdenestStopIteration(StopIteration): ...

def sqrt_biquadratic_denest(expr, a, b, r, d2) -> None: ...