While we are both here, if you are not aware of this paper it might give you a giggle (3500th order simulations on a supercomputer): https://arxiv.org/abs/1305.4222

They simulated Lorenz reliably up to 10000 time units; I managed 1400 units using MPFR on my NUC using my own code (500th order, took about 13 hours!).