am I doing it right?

[suxorz1994]

Healing touch
Pre-pot
Stealth
Ravage
Berserker/Tiger fury
Shred till 5cp
Rip
Healing touch
Rake
Thrash
Shred till 5cp
Healing touch
Ferocious bite
Mangle spam
And so on

When Tiger Fury is up, should I be spamming mangle or shred? When clearcasting procs, should I be using thrash or shred?

[Deleted]

Maybe you forgot to type it. But i dont see a savage roar in there. Its prio 1 and should be kept at around 100% uptime. You should also rake your way to those first 5 combo points, not just shred. And your first finishing move should be savage roar. That will make your next rip get buffed by DoC. If you get clearcasting you should trash. If its not about to go off cooldown in any time soon, then shred.

[aggixx]

Maybe you forgot to type it. But i dont see a savage roar in there. Its prio 1 and should be kept at around 100% uptime. You should also rake your way to those first 5 combo points, not just shred. And your first finishing move should be savage roar. That will make your next rip get buffed by DoC. If you get clearcasting you should trash. If its not about to go off cooldown in any time soon, then shred.

He didn't say if he has Rune or not so you shouldn't assume he should be spamming Rake.

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When Tiger Fury is up, should I be spamming mangle or shred? When clearcasting procs, should I be using thrash or shred?

Use Shred when you're in Berserk, Bloodlust, or have a Omen of Clarity proc (if you don't need to Thrash instead). Otherwise use Mangle. It's not a big deal though technically.

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You've got a couple things off: (my changes in italics)

Healing touch
Pre-pot
Stealth
SR to 15 seconds (spam it)
Ravage
Rake (you're wasting 25+ energy if you TF before using a 2nd filler)
Shred to <40 energy (you'll only have to do this if you get Omen procs. don't waste energy!)
Berserker/Tiger fury
Rake (put up 15% stronger rake from TF)
Shred till 5cp
Rip
Healing touch
Rake
Thrash
Shred till 5cp
Healing touch
Ferocious bite
Rip
Rake
Thrash
Mangle spam while SR is up
SR
And so on (Shred and FB)

If you're using a trinket with a 10s proc, you should be able to get that 2nd Rip in before it ends. If you have 2pt16 it will be easy to fit, if you don't it can be pretty tight, especially in lower gear where your CP generation is a little worse.