Toroidalization of dominant morphisms of 3-folds

Suppose that f: X → Y is a dominant morphism of algebraic varieties, over a field k of characteristic zero. If X and Y are nonsingular, f: X → Y is toroidal if there are simple normal crossing divisors DX on X and DY on Y such that f−1(DY) = DX, and f is locally given by monomials in appropriate etale local parameters on X