It may be worth evaluating why we need to explore this space through computing in the first place? Pen and paper have never failed us before, nor has actually traveling to the space in question.
generally speaking, computers are faster at performing calculations than humans. this can be beneficial for humans, as if they are able to convert a problem (for example, mapping the densities of functions over a 2D space) into a purely mathematical one, humans are able to save significant time and effort.