Interesting. 11+ hours with 2 1/2 hours screen on time, and 44% battery left, and not on WiFi, is actually darn good. That would translate into something close to 20 hours on a charge. I don't think you can expect a lot better than that. Right now I'm looking at 15 hours with 34% left, WiFi for most of that time, and about 3 hours of screen on time.
But something is keeping your phone awake. Whatever it is isn't using a lot of battery.I think you're going to have to install one or more of the programs suggested earlier in this thread to track it down.