  We report on a study of the autocorrelation times of the local version of the
Hybrid Monte Carlo (LHMC) algorithm for pure gauge $SU(3)$. We compare LHMC to
standard multi-hit Metropolis and to the global version of the same HMC. For
every algorithm we measure the autocorrelation time for a variety of
observables and the string tension as a function of beta. The measurements
performed on 8^4 and 16^4 lattices indicate that the autocorrelation time of
LHMC is significantly shorter than for the other two algorithms.
