Just saw it in 3D at the theater. Short analysis: Brilliant.
Two things really stood out for me. One, this is the first time I found any value-added from the 3D experience; there is a 3D painting in the movie, and getting to see it was in 3D before being told it was in 3D was dramatically moving.
The second was how John Rawl's original position is just tossed out there as a solution to a minor plot point. Of course the Dr. knows about Rawl's work; it's that the script writers knew about that impresses me.
I am always a sucker for any movie that can work a bit of serious philosophy seamlessly onto the screen. So my longer analysis of The Day of The Doctor is: Bloody brilliant.