Xie and Bowman 25 reported software, termed "MSA" for monomial symmetrization. That software is a "bottom up" approach in which higher order polynomials are obtained from products of lower-order ones plus a remainder. Developments of the original MSA software to extend it to incorporating gradients as well as energies for the data and producing analytical gradients on output were reported in 2019. The latest software that includes these features is called MSA 2.0 and is freely available. all of our applications the size of the PIP basis is much smaller than the size of the dataset.