Before revision:  Although equivalent (at least in exact precision) , those algorithms typically exhibit significant differences in terms of performance , and naturally, we are interested in finding the fastest one(s) . In practice, we often observe that multiple algorithms yield comparable performance characteristics.
After revision:  Although equivalent (at least in exact precision) , those algorithms typically exhibit significant differences in terms of performance , and naturally, we are interested in finding the fastest one(s) . In practice, we observe that subsets of algorithms show comparable performance characteristics.