its nice to know HA does 115% weapon damage, but what about the fact that it sometime pierces and hits again?
and then theres the rune for additional pierces or the devouring rune for additional damage on pierces, which should we chose? (if you just want to see the weapondmg percentage, just scroll to the bottom)
lets have a look at HA without runes. it has a 35% chance to pierce. the great thing is, that that second can pierce aswell and hit a third time, and so on. it can even pierce 10 times, but the chances for that to happen are low. (because for that to happen, the first has to pierce AND the second has to pierce AND the third has to pierce etc...)
spoken in numbers: 100% * 100% + 100% * 35% + 100% * 35% * 35% + 100% * 35%* 35%* 35% etc.
(the first number (the 100%) is the damage done (not weapondmg! just an average hit))
this can be expressed and calculated as a so called infinte sum:
sum(1^k * 0.35^k), k = 0 to infinity
result of this sum is about 1.5385. that means, the average HA(without runes) does 153,85% damage on average (compared to the first hit)
Puncturing Arrow rune increases the chance to 50%.
sum(1^k * 0.5^k), k = 0 to infinity == 2
so this rune brings the average damage of HA from ~154% to 200% ! which is quite nice.
Devouring Arrow rune increases the damage of the piercing shots by 70%.
spoken in numbers: 100% * 100% + 100% * 170% * 35% + 170% * 170% * 35% * 35% + 170% * 170% * 170% * 35% * 35% * 35% etc...
sum( 1.7^k * 0.35^k ) = sum ( 0.595^k ), k = 0 to infinity == 2.46914... => 247% damage!
Now we can easily compare the 2 runes. Devouring rune is clearly stronger! (by about 24%)
But as the chance for a Devouring to occur is smaller (35% vs 50% of puncturing) it is obvious that it is less reliable, but does average out on doing more damage by a fair margin.
it's like having another critical hit mechanic, makes our dmg very bursty and random...
Average Weapon Damage dealt (rounded):
Hungering wihtout rune : 115% WD * 1.54 = 177% Weapon Damage
Hungering with PA: 115% WD * 2 = 230% Weapon Damage
Hungering with DA: 115% WD * 2.47 = 284% Weapon Damage
Now everyone should see why HA + Devouring is such a great ability. Hell, it's even one of our best singletargert dmg abilities, allthough it's a generator! Not to talk about "autoaim" ...
His test showed that devouring is NOT multiplicative. Whether it adds 70% weapon damage each time (115, 185, 255, etc), or just adds 70% of base damage each time (115, 195.5, 276, etc) is tougher, since it's so close and damage ranges overlap. In any case, it's pretty close to puncturing. I use puncturing because even though the damage is a bit lower, it's less prone to overkill and since it has higher average number of pierces, offers more opportunities for on hit effects to occur.
blizz has gotten much better in term of tooltipps, so I hope I did unterstand the stuff the way it is ingame.
if you compare to other tooltipps, e.g. the Cinder Arrow rune explicitly says "additional 35% weapon dmg" so its clear they mean the WD, and that it's additional und not multiplicative.
DA rune says "increases the damage of the arrow by 70%" which I understand as a increase in total dmg of the shot, not additive but multiplicative (and not Weapon Damage). So if Blizz is consistent in terms of tooltipp notation, it should be correct. lets hope :-/
edit: ah sorry didn't find the other post, I'll give it a shot. thanks for the link!
Rollback Post to RevisionRollBack
To post a comment, please login or register a new account.
and then theres the rune for additional pierces or the devouring rune for additional damage on pierces, which should we chose? (if you just want to see the weapondmg percentage, just scroll to the bottom)
lets have a look at HA without runes. it has a 35% chance to pierce. the great thing is, that that second can pierce aswell and hit a third time, and so on. it can even pierce 10 times, but the chances for that to happen are low. (because for that to happen, the first has to pierce AND the second has to pierce AND the third has to pierce etc...)
spoken in numbers: 100% * 100% + 100% * 35% + 100% * 35% * 35% + 100% * 35%* 35%* 35% etc.
(the first number (the 100%) is the damage done (not weapondmg! just an average hit))
this can be expressed and calculated as a so called infinte sum:
sum(1^k * 0.35^k), k = 0 to infinity
result of this sum is about 1.5385. that means, the average HA(without runes) does 153,85% damage on average (compared to the first hit)
Puncturing Arrow rune increases the chance to 50%.
sum(1^k * 0.5^k), k = 0 to infinity == 2
so this rune brings the average damage of HA from ~154% to 200% ! which is quite nice.
Devouring Arrow rune increases the damage of the piercing shots by 70%.
spoken in numbers: 100% * 100% + 100% * 170% * 35% + 170% * 170% * 35% * 35% + 170% * 170% * 170% * 35% * 35% * 35% etc...
sum( 1.7^k * 0.35^k ) = sum ( 0.595^k ), k = 0 to infinity == 2.46914... => 247% damage!
Now we can easily compare the 2 runes. Devouring rune is clearly stronger! (by about 24%)
But as the chance for a Devouring to occur is smaller (35% vs 50% of puncturing) it is obvious that it is less reliable, but does average out on doing more damage by a fair margin.
it's like having another critical hit mechanic, makes our dmg very bursty and random...
Average Weapon Damage dealt (rounded):
Hungering wihtout rune : 115% WD * 1.54 = 177% Weapon Damage
Hungering with PA: 115% WD * 2 = 230% Weapon Damage
Hungering with DA: 115% WD * 2.47 = 284% Weapon Damage
Now everyone should see why HA + Devouring is such a great ability. Hell, it's even one of our best singletargert dmg abilities, allthough it's a generator! Not to talk about "autoaim" ...
hope I could help.
greez edi
On the last page, there was some testing to figure out how devouring arrow works exactly. That entry is here (reply #68):
http://www.diablofans.com/topic/37730-n-depth-look-at-hungering-arrow/page__st__60#entry887621
His test showed that devouring is NOT multiplicative. Whether it adds 70% weapon damage each time (115, 185, 255, etc), or just adds 70% of base damage each time (115, 195.5, 276, etc) is tougher, since it's so close and damage ranges overlap. In any case, it's pretty close to puncturing. I use puncturing because even though the damage is a bit lower, it's less prone to overkill and since it has higher average number of pierces, offers more opportunities for on hit effects to occur.
if you compare to other tooltipps, e.g. the Cinder Arrow rune explicitly says "additional 35% weapon dmg" so its clear they mean the WD, and that it's additional und not multiplicative.
DA rune says "increases the damage of the arrow by 70%" which I understand as a increase in total dmg of the shot, not additive but multiplicative (and not Weapon Damage). So if Blizz is consistent in terms of tooltipp notation, it should be correct. lets hope :-/
edit: ah sorry didn't find the other post, I'll give it a shot. thanks for the link!