Ah there we go. At the very least I was only considering the subspace where the polynomial's derivative has only real roots? Think of a simple quadratic. The r

Ah there we go. At the very least I was only considering the subspace where the polynomial's derivative has only real roots? Think of a simple quadratic. The reflection is across the min(f(x)) axis. But for higher order polynomials that doesn't always work so that is certainly an issue. Thanks