He plays the power barre E throughout the intro. He plays open E during the verses, and plays open A and D in the verses as well. Match it with the bass changes.
The chorus is C#m (barre on the 9th) to open E to A (barre on the 5th).
Coming out of the chorus he used to play an open E, but on 360 he played along with Adam's bass riff, which was E and D on the A string and then B, A and G on the E string.
During the solo, the order is this:
E A D E C#m A E B C#m E A
Again, changing whenever Adam does.
For the outro, he just plays an E.
I'm not sure what you mean by timing and speed and melody. That really kind of depends on the tour. On ZooTV he played the chords pretty regularly, along with the bass speed at a lot of times. 360 is different meanwhile: he plays arpeggios for the first portion of the chorus and then plays the full chords the second time through. And when he does the open chords in the verses, he usually just plays them once during the change.