Ok, I'll watch the stats on them. What i found annoying about it was that my guys even when I hit the stupid magic buttons on them could not run them down. As a result the battle would not end, so whatever number of casualties they were causing when they turned back and fired at me were freebies I could do nothing about AND the battle would not end.

As a result I immediately set about looking up the quickest way to get a unit of cav, problem solved.