Your brain is no different in its need for rest than your body. I've discovered that I need a break at about 3pm every afternoon, so I find a quiet place to lay down, close my eyes, and think about precisely nothing. After ten or fifteen minutes, I am ready to go back to thinking very hard. I've had co-workers who choose to sit at their desks all day looking very diligent rather than rest when they need it, and they are far less productive. (Of course, there are a few out there who don't seem to need to ever rest, and they're much more productive than I.)
You're not being paid to log hours; you're being paid to accomplish something. If you meet or exceed your employers' requirements for you, then they are getting their money's worth.