When do you use amortized time complexity and when to use unamortized?

Question

This is my guess:

-Use amortized because we want to know the "averaged" complexity over n operations assuming the operation is going to be used frequently

-Use unamortized when you know the operation is going to be used rarely

Answer 1

You can find the motivation for the amortized analysis from this reference:

The motivation for amortized analysis is that looking at the worst-case time per operation can be too pessimistic if the only way to produce an expensive operation is to "set it up" with a large number of cheap operations beforehand.

Hence, unamortized (asymptotic) analysis means considering time complexity of an algorithm (instead of each operation) when each operation can be counted in constant time.