Bulimia is a disorder in which binge eating is combined with compensation. Compensation can be induction of vomiting, and can be the use of laxatives, diuretics, fasting, intense training.
Bulimia is not just about overeating and vomiting. It is also the use of laxatives and diuretics. And if I'm not mistaken, grueling exercise after overeating is also bulimia.