You might be interested in these alternate rotations someone came up with that I posted a link to some pages back:
https://www.youtube.com/watch?v=Ds8tPTAXAfY
Basically, the guy came up with a slightly different rotation and a couple of priority-based rotations depending on what CDs and procs are up.
Opener with all CDs up:
Fire 3 > Fire > Thunder 1/2 > [Firestarter] > Fire > Raging Strikes > [Firestarter] > Fire > Fire > Flare > [Firestarter] > Convert > Fire > Swiftcast Flare > [Firestarter] > Transpose > Blizzard > Thunder 2 > Fire 3
Rotation with Swiftcast up:
Fire 3 > Fire spam > Swiftcast Flare > Transpose > Blizzard > Thunder 2 > Fire 3
Rotation with Firestarter up towards the end:
Fire 3 > Spam Fire > Flare > Firestarter > Transpose > Blizzard > Thunder 2 > Fire 3
Rotation for bosses that disappear and kill your stacks:
Fire 3 > Fire > Thunder 1 /2 > Fire > Fire > Fire > Swiftcast Flare or Flare/Firestarter or Blizzard/Thunder/Fire3
Since I play on PS4, I don't really have a good means to test this and get exact numbers. I don't really want to take a guy in a video's word for granted that it's a DPS increase without checking it first.
But I'm keen to see what other people find, as from a purely subjective view, I do find this rotation more engaging than the standard one and a bit more satisfying when the stars align.
I'd give some sample numbers from Coil this week straight from Someone In Our Static's Abacus, but I can't remember whether I was doing this rotation or the standard rotation then. But I guess I can try it in Turn 8 on Tuesday and see what I get, it'll probably be a fair number since I'm the only caster and don't get an INT buff or Foe Requiem, and all I have to do is hit towers every now and then.(´・ω・`)