Algorithm Complexity Analysis

Algorithm complexity analysis evaluates the performance of a function in terms of its growth rate relative to input size, often expressed in Big O notation. In the context of EVM, this analysis is used to predict the gas cost of a function as the number of users or assets in a protocol increases.

For derivative platforms, it is critical to ensure that functions like order matching or liquidation have low complexity to prevent performance degradation. High-complexity algorithms can lead to exponential increases in gas costs, making them unusable as the protocol scales.

Rigorous analysis ensures that the protocol remains performant and sustainable under heavy load.