The action and topological charge are used to determine the relative rates
of standard cooling and smearing algorithms in pure SU(3)-color gauge theor
y. We consider representative gauge field configurations on 16(3) x 32 latt
ices at beta =5.70 and 24(3)x36 lattices at beta =6.00. We find that the re
lative rate of variation in the action and topological charge under various
algorithms may be succinctly described in terms of simple formulas. The re
sults are in accordance with recent suggestions from fat-link perturbation
theory.