I made some tests today to check what happened in terms of sheer damage numbers to the S/P set after the PW nerf.
I made calculations only for the Autoattack chain and for Pistol Whip, since they’re the 2 skills that do the real damage with the S/P set.
First of all, the skill coefficients (bear in mind that the sc aren’t precise, I didn’t have the time nor the will to interpolate the exact number making a lot of data gathering ):
- Autoattack: 0.795 – 0.795 – 1.29
- Pistol Whip: 0.336 (Pistol) – 0.371 (Sword single swing).
Now, let’s say that we don’t have any traits and/or buffs to increase our damage, and let’s not consider any critical hit at all.
The formula to calculate the damage done on a target is this:
(Power * Weapon Damage * Skill Coefficient) / Armor
So we have:
- Autoattack: ((Power * Wpn Dmg) / Armor ) * (0.795*2+1.29)= 2.88 * Power * Wpn Dmg / Armor
- PW: (0.336 + 8*0.371) * Power * Wpn Dmg / Armor = 3.304 * Power * Wpn Dmg / Armor
Let’s take some numbers to make an example. Power 1785, Wpn Dmg 1000 (taking the upper limit of the sword dmg), Armor 2000. The overall value of Power * Wpn Dmg / Armor with these values is:
1785 * 1000 / 2000 = 1785 / 2 = 892.5
If we put this number in the above formulaes we get these results:
- Autoattack: 892.5 * 2.88 = 2570.4
- PW: 892.5 * 3.304 = 2948.82
Now, it seems that PW, even after nerf, makes a little bit more damage than the autoattack chain. But here’s the problem: if I checked the durations right, the Autoattack Chain has a total “casting time” of 2,5s, while PW has a total of 3s.
So, if we go to check the DPS:
- Autoattack: 2570.4 / 2.5 = 1028.16
- PW: 2948.82 / 3 = 982.94
Thus, now, we have that PW has a lower DPS than the Autoattack chain. Before the nerf, if we consider the -15% nerf, PW had a DPS of 1156.4.
Moreover, when we factor in the possibility of critical hits, we have to remember that the game rolls the critical chance for every single hit and not per single skill. This means that we have, with PW, a much higher interval in its dmg range (but with less variance) than the one we have with the Autoattack.
For example, let’s say now that we have 50% of crit chance and no crit dmg (just for the sake of calculations ofc).
With PW, you can get no crits at all, thus doing the damage that I wrote before (with a probability of 0.5^9 = about 0.2%), or we can make (always with a prob. of 0,2%) all crits, thus raising the overall damage to 2948.82 * 1.5 = 4423.23. You should bear in mind however that the probability to get exactly the average dmg between these extremes is much higher in PW, due to the fact that we have 9 “rolls” instead of only 3 in the Autoattack Chain.
For the latter, we have no crits (with a prob. of 0.5 ^ 3 = 12,5%), and all crits, with the same prob., that deal a total of 3855.6.
However, the DPS remains higher for the Autoattack Chain compared to PW.
To these numbers, you can factor in any damage increase given by traits like Executioner, or sigils, etc., but the overall picture remains the same.
Again, I’m not sure 100% about the casting time duration of PW and Autoattack, I tried the best I could with a chronograph and it seemed to me that the respective durations were 3s and 2.5s. If anyone has better proof of this, please tell it so we can rework the DPS numbers.
But, at the moment, it seems that with S/P it’s better to use Haste in conjuction with the Autoattack than with PW in terms of pure damage.
To me, it’s a sad, sad day.