I'm going to tell you something for which you can hate me: Durumu is my favorite boss in Throne of Thunder. One of the things I'm good at is situational awareness, so I notice a lot of the visual cues for the fight. For example, when the red, yellow, and blue beams first pop out, circles of the corresponding color flash where the three mist beasts are. You can save yourself a lot of running as one of the beams if you notice where they are.
What kills most people, though, is Durumu's maze. When Durumu pre-casts his disintegration beam, it will always be pointed at the entrance of the wing, so if you remember where you came in, that's where he'll be facing. If at all possible, immediately move to stand behind him at this point, where the blue circle is on the first graphic:
|Durumu's disintegration beam pre-cast|
|The maze beginning to form|
In this case, the raid will move counterclockwise to get in front of where the maze fog began forming. Never run through the beam pre-cast. This will kill you. Ideally you will be somewhere behind Durumu when he begins forming the maze, and you can just run through a bit of fog to get to the starting point.
Once the floor fills with purple fog, the maze will start forming.
|Moving through the maze|
The maze path will move in the direction the maze formed, so if it formed going clockwise, you need to run clockwise. Whichever way the maze fog filled in is also the direction the beam is going to move. You must stay ahead of the disintegration beam, or you will die.
The full maze won't spawn at once, so you'll just want to stay at the furthest extent of your currently spawned path. Try to avoid any puddles left from the lingering gaze attack. If you need to, in the LFR difficulty, you can cut over to a closer path to stay ahead of the beam. Just don't do this too often, or the fog of the maze will kill you.
Remember, the maze's fog can spawn on either side of Durumu initially, and the side it spawns on determines the direction you run.