I don't know much about assembly, but I am pretty sure that there are square root instructions on the x86? I am trying to get a square root function to work well in froth and the one that I have found gets bogged down somehow when I run it many times.
: sqrt-closer ( square guess -- square guess adjustment)
2dup / over - 2 /
;
: sqrt ( square -- root )
1 begin
sqrt-closer dup
while + repeat
drop nip ;