Dictionary:

bulimarexia

  (byū-lĭm'ə-rĕk'sē-ə, -lē'mə-, bū-)

Also from Answers.com... Herpes What is Herpes? Learn the signs and symptoms.

See bulimia (sense 1).

[BULIM(IA) + (AN)OREXIA.]

An eating disorder distinguished by a combination of the symptoms prevalent in both anorexia nervosa and bulimia nervosa; develops primarily in teenage and young adult females.

An eating disorder marked by an alternation between abnormal craving for and aversion to food. It is manifested by episodes of excessive food intake followed by periods of fasting and self-induced vomiting or diarrhea. Also called binge-purge syndrome, binge-vomit syndrome.

The noun has one meaning:

Meaning #1: a disorder of eating in which the person alternates between strong craving for food and aversion to food; characterized by excessive eating followed by periods of fasting or self-induced vomiting
  Synonyms: binge-purge syndrome, binge-vomit syndrome, bulima nervosa