As pointed out by Stair, et al., highly compressed wave functions are desirable for chemical applications of quantum computing on near-term devices. The reason is that many quantum algorithms, such as variational quantum eigensolvers, rely on wave function parameterization. Because the goal of these quantum algorithms is to yield an advantage over classical simulation, one way to characterize the advantage of these methods is to compare against the classical efficiency, in order determine if there is indeed a quantum advantage over classical approaches.