If the free volume has been thoroughly explored, the Boltzmann average of the host/guest interaction energies converges to the adsorption enthalpy at infinite dilution. The Widom insertion method is very accurate, meaning that it converges to the "perfect" value of the adsorption enthalpy -for a given choice of interaction parameters -in the limit of infinite sampling. However, it is computationally expensive, and a lot of computational resources are wasted during this sampling in the calculation of interaction energies that have negligible contribution to the overall Boltzmann average (points of high energy). Therefore, we can improve this method if we manage to sample preferentially points with the most negative interaction energies. To achieve this improvement we need to identify the characteristics of the adsorption sites that will have the highest weight ("count the most") in the final average, while avoiding sampling parts of space where points will have marginal contribution.