Oh and contrary to popular belief, I sleep worse when I exercise because overnight my body emits so much heat that I sweat myself (but if I don't cover myself I get woke up by cold), and the adrenaline is there and makes harder to fall asleep (even 4 hours after gym).
I still sleep better without sport. But I'm happy that backpain is gone and I can eat more, so I'm going to stick with it ;)