You are correct, this is wrong. What +% to element damage does, is adds that % to the end of the calculation vs your skills.Quote from FlexyMay I ask where you got that formula? I'm asking because I want to transfer it to a spreadsheet for quick & easy calculation. Therefore the formula needs to be correct.Quote from TwirlingFern
Most damage categories are multiplicative.
Since elemental damage is multiplicative then you multiply your new sheet dps with elemental percent. Formula is (1+elemental dmg) * sheet dps = actual dps. So to break even, (1+elemental dmg) = new sheet dps/ old sheet dps. So to break even, your elemental % gain ALWAYS needs to be higher than your % dps lost.
Using the previous examples, if you lost 30% sheet dps then you need 1/0.7 = 43% elemental damage to break even. Since you gained 20% cold damage, then your overall actual dps is 0.7 * 1.2 = 84% of your original dps.
Next example: losing 18% damage for +25% cold does NOT increase dps by 7%. Let's see: 0.82 * 1.25 = 1.025 = 2.5% dps increase
Now if your weapon has cold damage and also has % cold damage buff, then my guess is that amount of cold damage on the weapon gets multiplied by the cold damage buff, for all spells. I'm not sure if the sheet dps already calculates the buff in.
EDIT: Wait a minute, I'm not sure if I understand that Formula.
You say: (1+elemental damage) * sheet dps = actual dps
With "elemental damage", do you mean the % damage increase (like +15% Cold Damage)? And are you sure it gets multiplied like that? So if I say (1+15) * 250.000 =4.000.000 dps? That can't be right.
For instance, your dps is calculated with the standard formula, weapon average damage x attacks per second x mainstat in %, then x skill damage percent, PLUS element damage %. [Just keeping it simple, we aren't going to factor CC or CD, so we can see how it exactly works.]
It's not "multiplicative" it's additive, but it's being added to something that IS multiplicative.
Your damage is 100k, your attacks per second are 2.0. Frozen orb does 393%. This means Frozen Orb does 393,000 every second or 196,500 per hit. [Assuming you don't crit.]
With 20% + To cold damage, frozen orb does 206,500 per hit. [still assuming you don't crit]
If you're using a weapon that does Cold Damage, you take the average damage in cold, and add 20%, then you do the base weapon calculation with the additional 20% and you'll get a higher base or flat damage, which is then multiplied by main stat, and then multiplied by skill damage %.
So the question is, is it ever worth it to drop damage % on the paper sheet for Element damage, the answer is still yes -- but it's not at all woth it if you're losing 20-30%, it's only worth it if you're losing 1-10%, depending on how much +Element damage you have, and what skills your using. +Element damage scales better vs skills that already do really high % weapon damage. An example is meteor. Meteor will get a bigger bonus out of +% weapon damage than Frozen Orb, since it's weapon damage % is nearly twice that of Frozen orb.
So no, that formula is made up and bunk and not at all how it works, if it was, people would be melting T6 with average crits of 5 million a pop, which would give you an eDPS of around 10 million if you had an attack speed of 2.0.
You can test this, you can do my calculation, and it will match the damage you get when you don't crit with damage numbers on. It is correct, this other formula does NOT match the damage numbers in the game, therefor -- it's wrong.
So now, the next question is, is stacking a single +% damage to skill x worth it?
Absolutely for the same reason. So you have +% 20 to cold damage, and +20% to magic missile, then using glacial spike that does 175% now does 215%, if you pair this with a mirror ball, it now does 430%. If you're also using a cold damage weapon, the average damage on the cold damage affix is increased also by 20% at the base, which gets multiplied by mainstat, increasing your effective damage multiplicative, before the 430% is factored against your weapon damage.
This essentially makes Glacial spike do more damage than Frozen Orb, frozen orb still has more damage potential against large groups, because it has a bigger AOE radius, hence hitting more people and doing more actual Damage Per Second, but it will take longer to kill a single target vs Glacial Spike. So at this point, you use frozen orb to melt whites, and glacial spike to murder elites.
If you have a pair of frost burns too... you're sitting pretty.
It's also important to note, that the DPS in your paper sheet, is ONLY for attacking WITHOUT a skill. All skills that are 100% weapon damage or more, will do incredibly higher damage per second than what you see on the sheet, since weapon damage is applied first, before the multiplicative increases from mainstat, and the proc rates of CC.