Time evolution of the maximum of the conserved rest-mass density from simulations using FIL (dashed lines) and BHAC+, either without GWRR terms (dotted lines) or with them included. Note the importance of the latter in reproducing the results of overall dynamics compared to the full numerical-relativity simulations. Unless otherwise stated, all simulations have a finest spatial resolution of 300 m. For the IR case only, the purple solid and dashed lines correspond to simulations with a higher resolution of 100 m.