smooth population dynamics. AIMS predicts a slight population transfer starting at 25 fs followed by a plateau until 40 fs. All other methods provide 30 fs of negligible population transfer from S 1 to S 0 with no subsequent plateau. The dTSH approach (Fig. ) shows the closest correspondence with the AIMS result while the other approaches overestimate the population transfer to the ground state. Overall, none of the other approaches provide the fine structure of the AIMS result, but all approaches provide the correct physics of the molecular dynamics with dTSH performing the best. Note that a limited number of initial nuclear geometry/momentum samples (i.e. 14) were used in the AIMS simulation. We refer the reader to Appendix A and Fig. for discussions regarding this issue.