The term "keep within bounds" is a phrase that refers to the act of staying within limits or boundaries. It implies restraint, discipline, and self-control. Some antonyms for "keep within bounds" could be "exceed limits," "overstep," "cross the line," "transgress," or "go beyond bounds." These terms suggest a lack of restraint, recklessness, or disobedience. Other antonyms could include "let loose," "unleash," "give free rein," or "disregard limits." These terms imply a disregard for rules, regulations, or moral standards. Choosing the right antonym depends on the context and the tone of the message being conveyed.