Today’s calculations can get a little intense if you treat every numeric range as equally important. There can be a long distance between changes in the input->output relationship.

I found an interesting video from a while ago in which CFD people talk about a similar issue in deciding where to allocate computational resources in the simulation of a Mach cone, where the vast majority of the simulation is plain air with nothing interesting happening, but there is just a very small boundary in which super-interesting things are happening.