For denser grids and for many space groups, this initial configuration space quickly becomes very large. However, with AXS we observe that the simple filtering mechanism of atomic overlap checking (via d tol) can decrease the dimensionality of the search space by multiple orders of magnitude. This is illustrated in Figure , which shows the number of initial candidate structures generated across the benchmark set, as well as the number of candidates considered at each step of the AXS workflow. At our default parameters of H = 1.2 Å-1 and d tol = 2.0 Å, 41 compounds have fewer than 10 candidate structures even before R-value comparisons and filtering. This benchmark therefore demonstrates that the physically-relevant structure configuration space can actually be very small for certain materials, making the AXS algorithm a practical complement to structure solution algorithms that rely on optimization via machine learning, which target large configuration spaces.