Iterations usually refers to the repetition of a series of operations.
Hmm, I was thinking of the process of matching "the thing quantified" once as the series of operations being repeated. But I don't have a good name for "the thing quantified". I agree that 'iterations' isn't ideal, but I'm not sure what would be better.
I'm not trying to be overly critical or anything.
Please, do be. :)