That's also means they may have to alter our minds sometimes to avoid expensive computations: For example a bit contrived example: if we try to find the next M

That's also means they may have to alter our minds sometimes to avoid expensive computations: For example a bit contrived example: if we try to find the next Mersenne prime (or something similar, computationally hard but easy to check thing (e.g. anything NP complete)), and we use millions of computers to do that, and the simulators do not have it precomputed already - then the simulators either have to compute it too to provide the proper sensory input (the mersenne prime found) or alter our mind not to do this...