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Elemental Formulae Reference

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Reference post for a bunch of formulae I've worked out recently, which should make calculating stuff a bit easier.

c = crit chance
h = haste (1 + haste percentage)

Clearcasting Uptime (% of # spells affected)

(-0.124993*h^2+0.513433*h+0.381616)*c^2+(-0.249985*h^2+1.026866*h-0.236767)*c+(0.066967*h^2-0.228019*h+0.682205)

Which becomes
x = 0.682205 - 0.236767c + 1.026866ch - 0.249985ch2 + 0.381616c2 + 0.513433c2h - 0.124993c2h2 - 0.228019h + 0.066967h2

Lava Burst Frequency (every X seconds)

-0.2727*h^3 + 2.2288h^2 - 7.5826h + 12.936

Non crit spells per minute

-1.8729h^2 + 31.622h - 5.5658

Earth Shock Frequency (assuming 1 per 6 Lightning Shield charges generated, not taking 5 sec shared cooldown into account)

x = 0.003603h2m2 - 0.057034h2m - 0.061504h2 - 0.184071hm2 + 2.9139hm + 3.14225h + 0.089061m2 - 1.40986m - 1.52034

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Updated 10-03-2014 at 08:18 PM by Binkenstein

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  1. Cornix's Avatar
    Lets talk Elemental Focus!
    Since the 5.4.2 hotfixes it is now 20% Spell Damage increase from Critical Strikes.

    I have been thinking about Clearcasting uptime for quite some time, initially from my own challenge mode dps maximizing point of view.
    Does SimulationCraft have this formula with in its calculations for stat weighting/reforge plotting ?

    Originally I went in this hard with a mathematical thought process trying to find at what values you could have 90% Clearcasting uptime or even 100% Clearcasting uptime. Then I gave up because the calculations got REALLY messy trying to do it by hand. At which point I said screw it and started plugging in typical values for Elemental Shaman to have.
    Conclusion:
    The formula scales crazy with increasing amounts of crit
    My example: 22% haste, 15% crit = 61.88% uptime
    22% haste, 40% crit = 89.28% uptime
    Leeds' BiS 34.77% haste, 20.90% crit = 67.84% uptime
    Haste adds some variance with increasing value but not as dramatic, definitely in the order of ~10% uptime going from something like T14 gear to T16 gear with accepted gearing/gemming/reforging. According to the formula higher crit values increase the value of haste.

    Now to the point of this post!
    How would the formula effect the stat weighting in SimulationCraft if it did not include this information? Is crit actually more valuable then initially portrayed? Looking at Heroic Siege gear with this in mind it is highly possible to have a high crit high haste build with upwards of 90% uptime for Clearcasting. (Not mastery because mastery procs do not benefit from Clearcasting) Of course the idea of a crit build is crazy talk with Lava Burst being guaranteed crit, but what about the times when you have Lava Burst available but no Clearcasting proc, 20% damage you could of had. Crit build would hurt the burst during Ascendance, but increase the damage of FET and overall sustained damage.

    Maybe this all just crazy talk, a build catering towards Clearcasting. I wouldnt know where to begin with trying to simulate this or even estimate the value. Then again the BiS Heroic Siege gear one could obtain almost 100% mastery meaning proc 75% extra damage off of every cast of Lightning Bolt, Elemental Blast, Chain Lightning, or Lava Burst.

    Boiling down to 75% extra damage per cast of Lightning Bolt, Elemental Blast, Chain Lightning, and Lava Burst vs 20% extra damage "most of the time" from Lightning Bolt, Elemental Blast, Chain Lightning, Lava Burst, Flame Shock, Earth Shock, Fulmination, and Echo Procs PLUS extra damage from critting more often.
    Updated 08-03-2014 at 08:39 AM by Cornix
  2. Binkenstein's Avatar
    Quote Originally Posted by Cornix
    Lets talk Elemental Focus!
    Since the 5.4.2 hotfixes it is now 20% Spell Damage increase from Critical Strikes.

    I have been thinking about Clearcasting uptime for quite some time, initially from my own challenge mode dps maximizing point of view.
    Does SimulationCraft have this formula with in its calculations for stat weighting/reforge plotting ?

    Originally I went in this hard with a mathematical thought process trying to find at what values you could have 90% Clearcasting uptime or even 100% Clearcasting uptime. Then I gave up because the calculations got REALLY messy trying to do it by hand. At which point I said screw it and started plugging in typical values for Elemental Shaman to have.
    Conclusion:
    The formula scales crazy with increasing amounts of crit
    My example: 22% haste, 15% crit = 61.88% uptime
    22% haste, 40% crit = 89.28% uptime
    Leeds' BiS 34.77% haste, 20.90% crit = 67.84% uptime
    Haste adds some variance with increasing value but not as dramatic, definitely in the order of ~10% uptime going from something like T14 gear to T16 gear with accepted gearing/gemming/reforging. According to the formula higher crit values increase the value of haste.

    Now to the point of this post!
    How would the formula effect the stat weighting in SimulationCraft if it did not include this information? Is crit actually more valuable then initially portrayed? Looking at Heroic Siege gear with this in mind it is highly possible to have a high crit high haste build with upwards of 90% uptime for Clearcasting. (Not mastery because mastery procs do not benefit from Clearcasting) Of course the idea of a crit build is crazy talk with Lava Burst being guaranteed crit, but what about the times when you have Lava Burst available but no Clearcasting proc, 20% damage you could of had. Crit build would hurt the burst during Ascendance, but increase the damage of FET and overall sustained damage.

    Maybe this all just crazy talk, a build catering towards Clearcasting. I wouldnt know where to begin with trying to simulate this or even estimate the value.
    SimulationCraft already takes this into account when working out stat weights. You're just looking at a really small part of the over-all equation
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