Analysis, Lunar Guidance, Obsolete
Note: The Graph, decision tree, and calculator have been updated as of 3/17/2008 to correct a couple of logic errors and to add the marginal values for Spirit and Intellect vs. MP5.
- Current Intellect and Spirit (raid-buffed)
- Fight Length
- Number of times Innervate is used
- Cast Frequency (for determining proc rate on the two trinkets included)
- Intensity (or Meditation) and Dreamstate
- [Darkmoon Card: Blue Dragon], [Bangle of Endless Blessings], and [Primal Mooncloth] set bonus
From these variables, we can determine the following:
- Mana Pool
- Spirit/Intellect-based Mana Regeneration (excluding the effects of additional MP5 from gear)
- Recommended Spirit if Intellect is held constant
- Recommended Intellect if Spirit is held constant
- Returned mana during Innervate and whether Innervate will completely refill the mana pool
- What type of weapon is recommended during Innervate
Table of Contents:
- Using the Calculator: An Example
- Sample Graph with Regions of Significance
- Behind the Scenes: Decision-Making
- Behind the Scenes: Formulas
As an example of how to use the calculator, I’ll use the hypothetical Restoration Druid, Thaelia:
Thaelia is a member of the questionably-Latin-named guild "Aegis Vesta." Ever the trendsetters, AV is currently working its way through Serpentshrine Caverns but is stalled out on the Morogrim Tidewalker encounter. Thaelia estimates that the fight — if ever successful — will last approximately eight minutes. Raid buffed, Thaelia has 450 Spirit and 575 Intellect. Naturally, she has Intensity and plans to use Innervate once in this time period (and to scowl at the Holy Paladins for asking for it). To boost her mana return during Innervate, she wears the Bangle but does not have the Darkmoon Card: Blue Dragon. She thinks that she casts every 2.0 seconds. Using the RegenFu addon, she determines that she spends about 85% inside the Five Second Rule on this encounter.
Plugging these values into the Mana Regeneration Calculator, she sees that her current estimated mana regeneration is 321 MP5. She can also see that Innervate will return more mana than she has and that she should be using a High Intellect weapon during Innervate. From the optimization recommendations, she can see that she can either choose to optimize by decreasing her Spirit from 450 to 378 or by increasing her Intellect to 628. She opts for the latter option which will boost her overall mana regeneration under these conditions from 321 MP5 to 339 MP5.
In the above example, Thaelia chose to optimize by increasing her Intellect rather than decreasing her Spirit. This may seem like an intuitive choice, but keep in mind that had she opted to scale back her Spirit (and thus mana regen), she could have shifted those points more toward +Healing.
Using the conditions described above (8 minute fight, 1 Innervate, Intensity, Bangle, 85% FSR, 2.0 sec cast frequency), we can generate a graph of the relative value of Intellect to Spirit and the resulting MP5 when these are optimized. Please keep in mind that this graph is under very specific conditions and should not be used to make gear decisions unless your conditions happen to match those described above. This graph is intended to help demonstrate significant trends among these stats.
I have color-coded three significant bands on the above graph, each of which represents a change in the way you optimize mana regeneration:
In the first band, Innervate does not yet completely fill your mana pool so Intellect is not especially valuable.
At the start of the second band , Innervate has caught up to your mana pool. As you progress through this band, your best option is to increase Intellect so that Innervate will continue to max out your mana pool. During this band, Intellect is significantly more valuable than Spirit. In this example, 330 Spirit is worth 540 Intellect.
Because Innervate essentially gives you a second (or third) mana bar when it’s used at these higher values, the value of Intellect is significantly higher than Spirit for most of this band. The value of Spirit does approach it at the uppermost values (900+), however, as the extra mana regeneration outside of Innervate begins to outweigh the contribution to mana regeneration from Intellect during Innervate. At this level of gear, if you continue to stack Intellect to maximize Innervate, you will actually hurt your mana regeneration outside of Innervate to such a degree that you will be disadvantaged overall. Should we increase the number of Innervates used during the same time period, this band will shift slightly to the right.
Note: You can build a personalized graph by specifying your own conditions and then graphing input Spirit as it increases vs. the recommended Intellect and resulting mana regeneration.
Thanks to insight from readers MK and Concillian, I discovered that Intellect was more valuable due to the fact that Innervate will eventually completely refill your mana pool. This required a significant rethinking of the way optimal values were calculated. The following is a decision diagram (gg, ISDS 3100) that will hopefully help you visualize some of the logic involved in optimizing Spirit (the same logic was used for optimizing Intellect):
Building upon the math presented in 2.4 Mana Regen – Part 1: The Basics and with a few key adjustments in which the effects of Innervate were completely isolated from the calculation of MRC, here are the formulas used in the calculator. Heavy theorycrafters are encouraged to take a look and point out any perceived inaccuracies:
- c = 5 * 0.009327
- MRC = Mana Regeneration Coefficient, without Innervate
- m = MP5
- t = fight length in ticks
- S = Spirit
- I = Intellect
- d = Dreamstate (0 or 1)
- b = Bangle (0 or 1)
- n = number of Innervates
The last formula derived above is for determining the value of Spirit relative to Intellect, assuming Innervate doesn’t completely fill your mana bar. To determine the value of Spirit relative to Intellect when Innervate does completely refill your mana bar, the following formula is used:
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