  We present a variant of the HMC algorithm with mass preconditioning
(Hasenbusch acceleration) and multiple time scale integration. We have tested
this variant for standard Wilson fermions at beta=5.6 and at pion masses
ranging from 380 MeV to 680 MeV. We show that in this situation its performance
is comparable to the recently proposed HMC variant with domain decomposition as
preconditioner. We give an update of the ``Berlin Wall'' figure, comparing the
performance of our variant of the HMC algorithm to other published performance
data. Advantages of the HMC algorithm with mass preconditioning and multiple
time scale integration are that it is straightforward to implement and can be
used in combination with a wide variety of lattice Dirac operators.
