We will give a short summary of the dynamics observed during the TD-ADGA timepropagation. A video of the propagation showing the density and potential at selected TD-ADGA iterations can be found in Fig. of the SI. The initial TD-ADGA PES is generated using the localized VSCF density obtained using the reference PES and the split basis. The dynamics is then initialized and since the localized VSCF state is not a stationary state, the wave function moves a little around in the left well. After 16.93 fs (the eighth TD-ADGA iteration) this leads the TD-ADGA to place another SP in the left well. The density is localized in the right well until the amplitude of the perturbation increases enough to perturb the wave function. After 788.56 fs, the density is no longer contained only in the left well and a new SP is added in the right well. At this point more and more density slowly moves to the right well and the TD-ADGA places mores SPs in the right well (and one in the left well) during the next 220 fs. After 1001.42 fs (TD-ADGA iteration 427) no more SPs are placed in the TD-ADGA calculation. For the rest of the simulation, the density moves back and forth between the two wells of the double well system, but always with the largest weight of the wave function being localized in the initial well. Fig. shows the SPs and fitted PES from the TD-ADGA calculation at the end of the simulation. A total of 22 SPs are requested during the TD-ADGA simulation, which is slightly less than the 25 SPs requested in the TI-ADGA calculation.