"To run the count" means to keep track of or tally something. It involves counting and recording numbers or data to monitor progress or determine a total. Full definition
He's been neither especially prolific with his home run count, nor especially spectacular with his home run displays. (sbnation.com)
As far as running counts, due to time constraints I'll have to leave that to readers. (thebookdesigner.com)
Altuve ran the count full and sent the seventh pitch — a 94 - mph fastball — of the at - bat into the center - field standing room section. (sbnation.com)