I did not read EVERY post so I apologize if this was mentioned previously.
I tend to view it more on the cool downs themselves. and which will go with what, when. This of course has to do with 'fresh' encounters, with all cool downs ready that lasts more than 2min. This is what I am curious about. The few seconds and in what optimal order to begin with is nice to know, of course.
IR= 60
BfB=80
BA= 90
HE= 90
RS= 120

IR will be with BA&HE on its 1st click, and 4th.
IR will be with RS on the 1st and 5th.
IR will be with BfB on the 1st and 5th.
BA&HE always together
IR up twice as much as RS
BfB used once in between it cycling again at the 4th min.

It keeps going but you get the idea.
(please forgive me if any of the simple maths is incorrect)