Computational complexity of mathematical operations

Graphs of functions commonly used in the analysis of algorithms, showing the number of operations versus input size for each function

The following tables list the computational complexity of various algorithms for common mathematical operations.

Here, complexity refers to the time complexity of performing computations on a multitape Turing machine. See big O notation for an explanation of the notation used.

Note: Due to the variety of multiplication algorithms, below stands in for the complexity of the chosen multiplication algorithm.