Totally concur, that's very similar to the method I explain to folks when they ask how I go about debugging.

I've always visualized it in my head kind of like a binary search tree, or maybe the bisection method in math for finding roots. I want to think about as little code as possible, so I take steps to cut the problem space down as dramatically and quickly as possible.

Plus, the less I have to think about when debugging the less likely I am to end up with an actual headache.