The second new condition we denote as the maximum condition, which state that an integration box is converged if the current value of the TD-ADGA integral is smaller than the maximum historic value of the TD-ADGA integral. This condition is applied because we do not want to add new single points on parts of the PES that have previously been considered converged unless the importance of it is actually increasing. In particular, we do not want to add SPs in domains of the PES where the wave function density is leaving (which changes the TD-ADGA integral to smaller values) or if the density is re-entering to these parts but with smaller magnitude than before. Note, that if the density is increased the TD-ADGA integral can increase and SPs can still be added to the grid.