My doctor has me taking both of them as well, but he had me take the adderall every other day because when you take them everyday your heart rate and blood pressure go up

I take both and have for a while now, no negative experiences here. Wellbutrin can raise your heart rate sometimes as well which may be why they may try to not prescribe them together, but every med will have its side effects and it sounds like your psychiatrist thinks the benefits outweigh the risks here:)