Comment by deadgrey19

Thinking in math first has been the catch cry of functional programmers (and their formal logic/verification friends) for decades. And there's nothing wrong with it, unless the problem you are trying to solve actually requires performance. Then, you have to think in "system" first. For example: Write a program that captures network packets and stores them to disk as fast as possible. There's no maths to think of here. The complexity is all in the "fast" part, and to solve that, a deep understanding of the architecture of the system is necessary. Fancy algorithms (maths) will not help you here. e.g. Will compression help? Depends on the properties of the system. Will batching help? Depends on the system. Will threading help? Depends on the system.