Originally Posted by Pernicies
Unfortunately, I can't quite get my head around the formula used in the Enh Shaman TTT.
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Essentially it's an inequality comparing total damage calculated by multiplying DPS * Time spent DPS'ing for 12 agi to boots vs. Cat's Swiftness.
The variables are:
D = DPS
A = Amount of DPS gained for 1 point of Agi
T = Total time in the fight
t = Time spent moving
Because we're not comparing agi enchants, a more appropriate formula would be:
D*(1+N)(T-t) < D(T-t/1.15)
Where N is the % DPS gained from spending those 2 talent points elsewhere. Note, however, that we can drop D out entirely, so the inequality becomes
t > NT / (.15/1.15 + N)
Plugging in Pernicies' value of 1.06% increase needed as N, we get approximately:
t > .075T
So, as long as the fight is 7.5% or more movement (which is about 4 seconds per minute), two points in IUP is better than two points in Dark Conviction.
NOTE: this model assumes constant DPS when in melee and 0 DPS when not. Therefore it's not completely accurate (as damage while in melee takes a little time to spin up generally while damage from ranged is not, in fact, 0), but it's a reasonable enough approximation.