overrace

over- +‎ race

overrace (third-person singular simple present overraces, present participle overracing, simple past and past participle overraced)

1. (transitive) To race too often.
   • 2007 August 19, Bill Finley, “Racing Becomes Afterthought as Focus Turns to Breeding and Big Bucks”, in New York Times‎:

     To most, that means keeping their horses fresh for the big day and making sure they have not been overraced in the days and months leading up to the main event.

• overcare