The benchmark results shows that the accuracy and the speed-up are well performed as expected. For all of these different systems, the accuracy stays within 0.01 kcal/mol. Specifically, when the bond dimension is larger than 1500, an error less than 0.002 kcal/mol can be achieved. The speed-up of the mixed-precision scheme is also ideal. Even a 2.31 speed-up was achieved for the benzene case with 6-31G basis set, active space (24e,24o), m = 5000. The chromium dimer is a special case, where the fine-grained level method performed better than the coarse-grained level method. This is because the coarse-grained level method may encounter a convergence issue in diagonalization, increasing the total number of diagonalization iterations, and delaying the overall performance. We think this convergence issue in diagonalization may be able to be fixed with other diagonalization methods such as the Jacobi-Davidson method, so that a better performance can be reached.