crit and crit dmg scaling

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wxyjac wrote:

Damage and attack speed are both linear increase, meaning you will get less total damage boost from each nodes as you stack them higher and higher. Critical chance is not linear, but stacking high into it meaning huge sacrifice in other aspects. Keep in mind tho, it is possible to reach 95% critical chance cap.

No, linear means you'll get the same total damage boost from each node as you stack them higher, while your potential damage boost from investing in other stats goes higher and higher.

Your formulas look correct except perhaps the way you've incorporated burning damage, which does not add 4/3 of your critical fire damage per second. It's 4/3 of your critical fire damage per crit, over 4 seconds, which works out to 1/3 of critical fire damage per second, assuming the target is always burning. And that damage isn't increased by attack speed - applying burning to a creature that's already burning just resets the duration (assuming both hits did the same amount of damage).
http://i.imgur.com/H9J7X.png

Some other things to keep in mind:

• All this depends a lot on your gear. In your example spreadsheet, elemental accounts for 40% of your base damage. If you've invested in 112% IPD worth of passives, I'd expect physical damage to be a larger portion of your base damage. This can vary wildly, compare say a 1 APS 2-hander to a 1.6 APS dagger
• Also keep in mind that increased attack speed not only increases your damage per second, but also your mana use per second. Other damage mods do not increase your mana use. With a slower attack speed, resources that you would otherwise have to devote to mana can be used for other things.

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Malice wrote:

Your formulas look correct except perhaps the way you've incorporated burning damage, which does not add 4/3 of your critical fire damage per second.

Malice, thank you very much for looking through my calculations.

4/3 fire damage*crit multiplier*unmodified fire dmg*crit chance: this term was added on a per-hit basis, not a per-second basis. DPS figures damage per hit * APS. Not likely to be very accurate, as I'm doubting that the burning effect from multiple crits will stack. As you mentioned, probably better to neglect the burning damage entirely from a dps calculation, or just add 1/3 per second of the critical fire dmg (assuming very high crit rate) - but even this would be wrong. They run away, after all, so the fire goes out. You switch targets while they're running, next target gains burning. No way to really do it.

If you note the ratio I wind up with in the end: crit loses in the particular case I listed. But when I started to consider that those 6% physi nodes only apply to about a third of my damage (+haste nodes to about half), now crit comes out on top by a fair margin. In fact, +physi/+haste or +ele/haste will only win for pure builds (pure bow ranger, pure spell witch).

All is well in the world of crit, when compared to other approaches. I just had to think it out a bit.

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Strill wrote:

No, linear means you'll get the same total damage boost from each node as you stack them higher, while your potential damage boost from investing in other stats goes higher and higher.

Absolutely correct! I also stated that linear stats diminish as you stack them, but this is a very simplified (slightly inaccurate) statement. Each 6% physi node is worth the same absolute gain, but the percentage gain goes down slightly each time you add another node. However, adding a +physi node raises the %dps boost of your next +haste node, and vice versa.

Linear stats diminish on a %dps basis, but feed back on each other for increased %dps per point.

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wxyjac wrote:

You will never get far in dps if you are only stacking one stat, whether it's just attack speed, damage, or critical.

I understand where you're coming from here. However, having high +phys or +ele with high +haste, and low +crit +critD pretty much invalidates any investment you put in crit and critD. Those points would be better spent on defense.

Again, just plow through the math and figure out how much those fewer points in crit actually get you. Then compare it to how much each point in +phys or +haste gets you. You might be surprised at the result.

And as I've pointed out, if you're in a high +crit +critD build, those two should (and are, if your damage breakdown works with it) blow every other stat out of the water. Because of how they feed back on each other, any points spent on +phys are going to be far inferior in terms of DPS gain.

Haste, well, I'm not quite sure what to say about haste. It seems to always have good value, except that if you're a hybrid you benefit from two different haste stats.