Performance Metrics Based on Computational Action

We propose a new performance metric based on computational action. We examine work as it evolves in time and compute computational action as the integral of the work function over time. We compare the action generated at less than full power with the action that could have been generated at full power. We claim that the goal of performance optimization is to minimize lost, or wasted, action. We calculate our metric for some computers in the Top500 list (http://www.top500.org) and propose a new ranking based on least action wasted. When work is a function of the resources applied, we use the classical techniques of the calculus of variations to minimize wasted action. From the result of this exercise, we calculate productivity as the ratio of work produced to resources used.