Sometimes it's difficult falling asleep for almost an entire night. You might feel like getting up and being productive instead, or 'pull an all-nighter'.
Or you can try to simply lay in bed to relax and rest, even though sleep does not kick in. In this situation, you may eventually fall asleep, only to be woken by your alarm just an hour or two later. Upon waking from such short sleep you can feel completely wrecked.
It leaves me wondering if you would feel more rested if you didn't sleep for just one hour. Maybe if you could relax throughout the night without really sleeping, you'd feel more rested by the time your alarm goes.
But is it physically possible to recharge as if you were sleeping without actually sleeping?