We have previously reported a "bottom-up" algorithm to implement MBE(n) using low-level (typically semiempirical) energy screening to construct a representation of the n-body interactions in the form of a directed acyclic graph. This is vastly more efficient than orderby-order screening, which allows us to extend the expansion to unprecedented orders (n) and systems sizes (N ). This technique is implemented in an opensource code called Fragme∩t, which is used for all of the calculations reported here. Electronic structure calculations are performed by interfacing Fragme∩t with Q-Chem. Interaction energies are computed using the supramolecular approach,