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Originally Posted by Hand
I had a question reguarding this trinket, everyone seems to think its better to use it at the same time as blade flurry because attack speed multipliers are multiplicative, however wouldn't that mean they diminish as you stack them further, and it would be better to use them seperate? Feel free to correct my math here, I'm pretty sure I'm doing something wrong--
Assume a 1.0 speed weapon, and slice n dice is always up
1.0 / (1.3 * 1.2) = 0.641026 aspd with blade flurry snd
1.0 / (1.3 * 1.2 * 1.2) = 0.534188 aspd with all 3
0.641026 - 0.534188 = 0.106838 seconds off your swing timer from the KoTS
However, using it when blade flurry isn't up
1.0 / (1.3) = 0.769231 aspd with just snd
1.0 / (1.3 * 1.2) = 0.641026 aspd with snd and KoTS
0.769231 - 0.641026 = 0.128205 seconds off your swing timer from the KoTS
So for a rogue, would it not be better to use this seperate from blade flurry, as opposed to at the same time? Or am I missing something? As I said, I'm running under the assumption that my math is wrong, so I'm looking for someone to correct it. Thanks.
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You can model the total number of attacks per unit time to get a better picture of how it works. 1.3 weapon haste on a 1.0 speed weapon = 1.0/1.3 aspd = 1.3 attacks per second, as intuition would tell you.
So suppose the buffs all have equal durations and you want to model a period of time that is twice the duration.
Using BF + SnD, then KotS after: (1.0)(1.3)(1.2) + (1.0)(1.2) = 2.76 attacks
Using all 3 at once, then none after: (1.0)(1.3)(1.2)(1.2) + (1.0) = 2.872 attacks
So yes, using all of them at once is still better.
And to explain your own results: Yes there are diminishing returns on your swing timer, but the swing timer is an inverse function of the actual damage you do. Going from 1.0 to 0.8 on the swing timer changes your attack rate from 1.0 to 1.25, a 25% increase for a 0.2 reduction in swing time. But going from 0.5 to 0.4 on your swing timer changes your attack rate from 2.0 to 2.5-- also a 25% increase, but for only a 0.1 reduction in swing time.