It is a common approach to compute additional single-point energies at higher level of theory for minima: in their vicinity, there is only little change of potential energy, so that the highlevel single-point energy computation at such points, though not optimized at the higher level of theory, can be expected to yield a more accurate energy than the low-level optimization. In addition, due to their high weight in Boltzmann summation, they dominate free energies and thereby thermochemistry. This leads to a standardized procedure to determine all minima within a LoFi scan on an evenly-spaced grid and additional HiFi calculations at minima. Here, we demonstrate how such data can be combined within a MuFi approach.