Python square root functions

newtons_sqrt.py

def newtons_sqrt(i, /, *, precision=1e-10):
    loops = 0
    x = (1+i) // 2
    d = i
    n_x = 0
    print(f'{precision=}', flush=True)
    while loops < x and abs(d) > precision:
        loops += 1
        print(f'{loops=} abs(d) = {abs(d)}: {d=}', flush=True)
        n_x = x - (x*x - i)/(2*x)
        print(f'  {n_x=} {x=} {i=}', flush=True)
        print(f'  x*x={x*x} 2*x={2*x}', flush=True)
        print(
            f'  (x*x-i)={x*x-i} '
            f'(x*x-i)/(2*x)={(x*x - i)/(2*x)} ',
            flush=True,
        )
        d = n_x - x
        x = n_x
        print(f'  {d=} {x=}', flush=True)
    return (n_x, int(n_x), loops,)