If you are purging what you eat you would still be considered bulimic but without the overeating. Please stay strong, I've been there and I know what it feels like to thrive for a skin and bone body but I swear it isn't worth it in the end. However it is your life and your body, so the decisions you take depend on you, nevertheless you're not the only one who ends up hurt. Good luck and you will always be able to recover if you set your mind to it, whenever you are ready <3