> I'm positive a Balmer Peak exists for the quality of these posts.

Aha! I have thought this for some time, that there is a level of tiredness where I actually get quite a bit more done. Likely because I am too tired to split my focus and have my mind wander.

That said I find my effectiveness at decision making deteriorates, so it would only be good for tasks where the right path is obvious. For important complex decisions I think I am still better off well rested.