Originally Posted by
Geodew
- - - LAST UPDATED 12-28-14 - - -
Bottom line at the top:
Intellect: 1.85
Spellpower: 1.68
Spirit (to comfort, with RJW): 1.41
Spirit (to comfort, with SCK): 1.34
Multistrike: 1.09
Haste (GCD limited): 1.05
Crit (to Spirit comfort, with RJW): 1.01
Crit (to Spirit comfort, with SCK): 1.00
Versatility (4 healers): 0.91
Crit (beyond Spirit comfort, with RJW): 0.86
Crit (beyond Spirit comfort, with SCK): 0.85
Mastery (100% pickup rate): 0.63
Haste (Mana limited, RJW): 0.51
Haste (Mana limited, SCK): 0.49
Mastery (typical pickup rate): 0.34
Spirit (beyond comfort, with RJW): 0.28
Spirit (beyond comfort, with SCK): 0.27
--------------------------------------------------------------------------------
SIMPLE VERSION for those less familiar with the spec and theorycraft:
Intellect: 1.85
Spellpower: 1.68
Spirit (to comfort breakpoint (TBD but very, very high)): 1.38
Multistrike: 1.09
Crit (to Spirit comfort breakpoint): 1.01
Versatility: 0.91
Crit (beyond Spirit comfort breakpoint): 0.86
Haste: 0.50
Mastery: 0.34
Spirit (beyond breakpoint): 0.28
--------------------------------------------------------------------------------
...............trimmed quote..................
- - - Updated - - -
A more accurate Crit weight (Added 12-28-14)
We now have the data on Mana Tea and the value of GCDs (from calculating Haste), which we lose from channeling additional Mana Tea, and the value of additional mana (from calculating Spirit). With these, we can calculate a more accurate crit weight from the fact that it causes additional Mana Tea generation.
In the section for crit, we estimated that the mana gain added 5% value to crit, which put its stat weight at 0.84196*(1+0.05) = 0.88. With only 700 crit rating, as we elaborated on in the Versatility section, the DR coefficient becomes 0.87442, yielding 0.92.
We estimated, seemingly correctly, that we generate 6.06 stacks of Mana Tea per minute in Level 100 WoD raids. Note that this estimate included an estimate of current crit chance levels, so we’ll need to take that out: 6.06/1.15 = 5.27 Mana Tea per minute at 0% crit, which now makes it affected by Diminishing Returns. +1% stacks (from 110 crit rating) is +0.0527 Mana Tea stacks per minute, which is 337.25 mana per minute, which is 28.10 mp5, which is equivalent to 13.64 Spirit. Note that this is true no matter what your crit chance is: The percentage gain of Mana Tea stacks has diminishing returns with Crit Chance, but that’s irrelevant; the mana gain (and thus equivalent Spirit) remains the same at all crit levels. Since the value of Crit now depends on the value of Spirit, we’ll have four crit weights for above/below comfort level and talented RJW/SCK.
However, this mana gain comes with a penalty that we need to spend an additional 0.5s channeling the additional Mana Tea stack, about 50% of which is channeled when the raid is topped off, so effectively 0.25 seconds. This is (1+Haste%)*0.25/1.5 GCDs per Mana Tea stack, which is (1+Haste%)*(0.25/1.5)*0.0527 GCDs per minute. Each minute contains (1+Haste%)*60/1.5 GCDs, so that’s an additional 100*[((0.25/1.5)*0.0527)/40]% = 0.022% GCDs. This is equivalent to losing 0.022 GCDs out of every 100, or (sort of) a loss of 0.022% Haste (except the bonus to HoT healing), which is equivalent to 2.2 Haste Rating. However, since this is a GCD loss, and not an actual Haste loss, we need to calculate the value of a GCD, not the value of Haste. We can do this by recalculating the value of “Haste” as if it (1) didn’t provide a bonus to HoTs, (2) had no Diminishing Returns (since this is a percentage GCD loss independent of current Haste levels), and (3) was not increased by the 5% Haste raid buff. For the GCD limited case (case a), we argued that number (1) was irrelevant, but we will remove it from the mana limited case (case b), at least.
Previously (Real Haste):
Case (a): 1.05*0.92473*1.01*(110/100)/(1.0252*1.000642) = 1.05
Case (b): 1.05*0.92473*1.01*[((38.81*X)/165.8)/1.0252 + (110/100)*(0.176)] where X is 1.41 for RJW or 1.34 for SCK (= 0.51 RJW, 0.49 SCK)
Becomes (GCD only, no DR):
Case (a): 1.01*(110/100)/(1.0252*1.000642) = 1.08
Case (b): 1.01*[((38.81*X)/165.8)/1.0252] where X is 1.41 for RJW or 1.34 for SCK (= 0.33 RJW, 0.31 SCK)
Thus, we then subtract the value of 2.2 “Haste” Rating using the new “GCD” weights from the value of the original 110 crit. Altogether, this yields the following:
Base weight (has DR): 1.0
Bonus from mana (no DR): Equivalent to +13.64 Spirit per 110 Crit, using standard Spirit stat weights
Penalty from GCDs channeling Mana Tea (no DR): Equivalent to -2.2 Haste per 110 Crit, using “GCD” stat weights
Breaking that down further (using BiS crit level, putting base stat weights in brackets for readability):
Crit (to Spirit comfort, with RJW): 0.84196*[1.00] + (13.64*[1.41]/110) - (2.2*[0.33]/110) = 1.01
Crit (to Spirit comfort, with SCK): 0.84196*[1.00] + (13.64*[1.34]/110) - (2.2*[0.31]/110) = 1.00
Crit (beyond Spirit comfort, with RJW): 0.84196*[1.00] + (13.64*[0.28]/110) - (2.2*[1.08]/110) = 0.86
Crit (beyond Spirit comfort, with SCK): 0.84196*[1.00] + (13.64*[0.27]/110) - (2.2*[1.08]/110) = 0.85
This actually indicates that Crit is slightly better than we thought because the mana gain is a bit more in quantity and value than we expected previously. This moves Crit above Versatility, even with low quantities of Versatility, indicating that we can drop the “about 700 rating” balancing shenanigans and go back to Versatility’s true weight in the BiS, which had only 128 Versatility rating. If you recall, Versatility’s calculated weight with its original DR was (4 healers) 0.81376*(1.03 + 0.090929) = 0.912
.....trimmed.....
Conclusion: Everything is mostly as expected.
Versatility is slightly higher than we thought it would be in previous discussion because of low Diminishing Returns compared to ms/crit as well as the nontrivial amount of value gained from the damage reduction. It’s high enough that it becomes more throughput that Crit in the event that you don’t need the mana from Crit’s bonus Mana Tea stacks.
.....trimmed.....
Can do a more accurate MS weight when I get some time (by estimating the healing percentage gain from reduced overhealing with Uplift). Also want to do Tertiary stat weights.