I think there is some inconsistency. If I select I want to sleep at 10 pm (It says fall asleep at 10 pm once I click calculate), wake up time suggested is 05:45 am. If I select I want to wake up at 05:30 am, It suggests falling asleep at 10 pm.

At the very least, you need to have one of these as go to bed, and the other one as fall asleep.