Programming

These are fun rabbit holes to go down. Everything here is true, of course: Big-O complexity isn't everything, context always matters, and measurements trump guesses.

But also, how many times have you encountered a performance problem with a slow O(n) solution that you solved by turning it into a fast O(n²) solution, compared to the other way around? The difference between 721ns and 72.1ns is almost always irrelevant (and is irrelevant if it's not on a hot path), and in all likelihood, the same can be said at n=500 (even 500x these numbers still doesn't even reach 0.5ms).

So unless context tells me that I have a good reason to think otherwise, I'm writing the one that uses a hash-based collection. As the codebase evolves in the future and the same bits of code are used in novel situations, I am much less likely to regret leaving microseconds on the table at small input sizes than to regret leaving milliseconds or seconds on the table at large input sizes.

As a trained practicioner of "the deeper magics" myself, I feel the need to point out that there's a reason why we call these types of things "the deeper magics", and that's because heuristics like "better Big-O means better performance" generally point you in the right direction when it matters, and the wrong direction when it doesn't matter.