where the subscripts i and j refer to distinct Wyckoff sites and DOF indicated the degrees of freedom associated with each particular Wyckoff site. The scaling is proportional to the time required for atomic collision checks. For each Wyckoff site in a given structure, we generate grids spanning the asymmetric unit. These grids are checked against all of the grids in the other Wyckoff sites, leading to a time of H DOFi * H DOFj for each pair of Wyckoff sites. In most cases, the scaling is better than exponential, but the scaling is poor for low symmetry space groups which contain low Wyckoff site multiplicities with a number of degrees of freedom. This can especially be seen in Figure for Ti 8 Se 8 (I 4/mcm), and Pb 4 Cl 8 (Pnma).