Single Target Opener:
Adlo tank - Place Shadow if it makes sense BEFORE COMBAT so that the boss will step into it, but won't pull boss - (POT- if you have time to both pot and precast Bio II . SCH love pull macros <3. As you're casting Bio II activate Fey Wind. I'll usually place her during the Bio II or miasma cast as well) Bio II ~> Miasma ~> Bio ~> Energy Drain~> Aero ~> Energy Drain ~> Broil ~> Broil ~> Ruin II (pot should end here. My spell speed sometimes lets me also get my energy drain in.) ~> Energy Drain ~> Aetherflow.
Single Target without precast Shadow Flare:
(POT- if you have time to both pot and precast Bio II .) Bio II ~> Miasma ~> Bio ~> Energy Drain~> Aero ~> Swiftcast~> Shadow Flare ~> Energy Drain ~> Broil ~> Ruin II ~> Energy Drain ~> Aetherflow.
If saving MP don't use your last energy drain, until you refresh your Bio then Aetherflow. You'll be topped off.
Refresh Dots as necessary. Do not place a DoT unless it can tick for 15 seconds, the two exceptions being Aero and Bio if you can weave an energy drain with them, but they still need at least 9 seconds to beat ruin II, or if you're bane-ing.
Level 50 AOE:
Bio II ~> Miasma ~> Bio ~> Swiftcast ~> Bane ~> Shadow Flare ~> Miasma II ~> Aero targets if 3 or less and that will survive ~15 seconds. Blizzard II if they won't live through aero or if there are 4 or more targets. You may choose to aero if 4 targets, only if they will survive the entire duration.
Level 54+ AOE:
Bio II ~> Miasma ~> Bio ~> Swiftcast ~> Bane ~> Shadow Flare ~> Miasma II (3 or more only) ~> Aero targets if 4 or less and that will survive ~15 seconds. Broil if 3 or less or if they won't survive aeros duration. Blizzard II if 4 or more.
Using Swiftcast before bane buffers bio, so its not skipped with bane, while not cutting into your gcd.
Your skills are competing with each other in priority to see who can deal the most at the current time. Picking the right one ups your dps.
You can change these up to fit your needs, but they will give you solid DPS.