I thought of an experiment while responding to another post. Here's what I want to do: we all know that certain parts of the brain are turned down during sleep. I want to see how much. This is what I propose. Next time you are lucid take a mind game or math problem that should take some thought, but isn't impossible hard.

Examples:

Derivate 3x^2 + 6x + 9
A circle has a radius of 4 inches, what's the area of a quarter of it
Name a song title starting with a, b, and c in that order

See how long it takes to do a simple (but processing intensive) task and then do the task while you're awake. I'm just curious, I'm going to try and remember next time that I'm lucid.