Analysis, Lunar Guidance
If the post title seems familiar, it’s because I already wrote this post once during the WotLK beta, using the then-applicable values for +Healing, coefficients, talents, and Glyphs. A lot has changed since then (for the worse, unfortunately) so we’re due for a second look at the various direct heals in Wrath, their relative efficiency, and relative effectiveness. Today we’re going to look at the following spells:
- Regrowth without the [Glyph of Regrowth] used as a raid heal and cast on a target without Regrowth
- Regrowth with the [Glyph of Regrowth] used as a tank heal and cast on a target with Regrowth already
- Nourish used as a raid heal and cast on a target without Rejuvenation, Regrowth, or Lifebloom
- Nourish used as a tank heal and cast on a target with Rejuvenation, Regrowth, or Lifebloom
- Nourish used as a tank heal and cast on a target with Rejuvenation, Regrowth, AND Lifebloom with the 4-piece T7 set bonus
- Healing Touch
- Healing Touch with the [Glyph of Healing Touch]
Since our goal is to compare the maximized version of each of these spells, we’re going to assume the following talents have been taken:
- Regrowth: Improved Regrowth, Empowered Rejuvenation, Moonglow
- Nourish: Tranquil Spirit, Moonglow
- Healing Touch: Naturalist, Empowered Touch, Tranquil Spirit, Moonglow
Because I think most readers are most interested in the results, I’m going to include them at the top of the article. Feel free to check out the bottom of the article for the methods used.
- HPS Comparison
- HPM Comparison
- Significant Observations
- Method: HPS
- Method: HPM
- Method: Spell Power Coefficients
- Method: Average Amount Healed
- Final Notes
HPS is a measure of throughput. A spell with a high throughput is preferred in a situation where a target takes sudden, unexpected bursts of damage. These spells are typically more expensive and require a focus on mana regeneration to sustain. At values of spell power ranging from 1000 to 3000 and with a base spell crit chance of 10%, we can create the following HPS comparisons:
HPM is a measure of efficiency. A spell with a high efficiency is preferred in a situation where one or more targets take steady, predictable damage for long periods of time. These spells are typically less expensive and often benefit from increased HPS from adding spell power. At values of spell power ranging from 1000 to 3000 and with a base spell crit chance of 10%, we can create the following HP1%M comparisons:
- Unglyphed Healing Touch is graphed in gray because I consider it too slow by default to leverage effectively. There is a possible build which would stack tremendous amounts of haste and use unglyphed Healing Touch exclusively. At 819.75 spell haste rating and Naturalist, the casting time of Healing Touch would reach 2.0 seconds, the same as an unhasted Regrowth. If you could achieve this much spell haste, the stat point equivalent is around 975 spell power, a considerable sacrifice that would cripple our other spells. But at 1500 spell power and 820 spell haste, unglyphed Healing Touch is substantially more efficient and effective than Regrowth as a raid heal while matching its HPS as a tank heal and only slightly underperforming its HPM as a tank heal. Unfortunately, the loss of a remotely effective HoT stack likely makes this strategy unviable. Is this the strategy we can expect to pursue at T10/11? I hope not. If I wanted to play a Paladin, I would wear more pink. Still, it would be interesting to see if this type of build becomes more viable as we travel along the gear curve.
- Nourish is an efficient (high HPM) heal when cast on a target who current has one or more our HoTs. It is however, considerably less effective (low HPS) than Regrowth and requires an investment in 5/5 Tranquil Spirit to reach the aforementioned level of efficiency, a seldom-taken talent that benefits only Nourish and Healing Touch.It is tremendously boosted by the acquisition of the 4-piece T7 set bonus where it suddenly becomes the most efficient choice for a tank heal (highest HPM), assuming you keep at least 3 HoTs on the target. Unfortunately, this set bonus may make graduating from T7 more difficult than it should be.
With the release of Patch 3.08, Nourish now benefits from the presence of Wild Growth, making it a viable tactic to supplement the healing from Wild Growth with strategic casts of Nourish.
- Glyphed Healing Touch has the highest throughput of any of these spells when used as a raid heal (and is correspondingly inefficient). It’s a great choice for dealing with a surprise spike of damage on a non-tank since it doesn’t require any HoTs to preset up. However, this tool comes at the expense of a 3-minute Nature’s Swiftness + Healing Touch. Any Druid who glyphs Healing Touch will want to create a macro that ties Nature’s Swiftness to Regrowth and Swiftmend. Such a macro would look like this:
/cast Nature’s Swiftness
/castsequence reset=target Regrowth, Swiftmend
To modify this to account for mouseover healing:
/cast Nature’s Swiftness
/castsequence reset=27 [target=mouseover,exists,help][target=target,help][target=player]Regrowth, [target=mouseover,exists,help][target=target,help][target=player]Swiftmend
- Regrowth seems to be the Renaissance Man of direct heals with good HPS and competitive HPM. This is in addition to its 21-27 second heal over time that allows for a Swiftmend. This will likely continue to be my “go to” direct heal of choice, a selection that will encourage me to eschew spell crit and not completely thumb my tree nose at spell haste.
- In terms of tank heals, Regrowth has the highest throughput and is the best choice to “catch up” when things go awry. It’s HPM is also fantastic, only trumped by that of a Nourish with 4-piece T7.
- The burst healing of a glyphed Healing Touch with less than a 1-second cast time will likely go a long way to overcome the difficulties that Death Knights present Restoration Druids in Arena. We’ve been spoiled by heals without casting times in the past, but we may have to put down roots at some point.
- There was a point in TBC where we had more mana than we could spend – you might remember me encouraging the increased use of Regrowth. Should that point be reachable in Wrath, glyphed Healing Touch spam will have all Paladins speccing Ret (and likely two-shotting us in revenge).
The strong performance by Regrowth is unsurprising given the number of talents with which it has synergy. At the same time, Nourish is quite underwhelming because it benefits from so few of our talents. I suspect it was intended as a tool for Balance and Feral Druids since the difference between a Resto Druid’s Nourish and a non-Resto Druid’s Nourish is minimal.
HPM/HPS analyses performed at increasing levels of spell power rely upon the spell power coefficient for each spell and condition. Credit for several of these calculations goes to Ridley of Grim Batol (EU) on his Restoration Itemization post at Elitist Jerks:
Coefficient Regrowth = Base Coefficient * Gift of Nature * Empowered Rejuvenation * Tree of Life Aura * Master Shapeshifter
= 0.537 * 1.1 * 1.2 * 1.06 * 1.04 = 0.781
Coefficient Regrowth w/Glyph = Base Coefficient * Gift of Nature * Empowered Rejuvenation * Tree of Life Aura * Master Shapeshifter * Glyph of Regrowth
= 0.537 * 1.1 * 1.2 * 1.06 * 1.04 * 1.2 = 0.938
Coefficient Nourish = Base Coefficient * Gift of Nature * Tree of Life Aura * Master Shapeshifter
= 0.671 * 1.1 * 1.06 * 1.04 = 0.814
Coefficient Nourish w/HoT = Base Coefficient * Gift of Nature * Tree of Life Aura * Master Shapeshifter * 20% HoT Bonus
= 0.671 * 1.1 * 1.06 * 1.04 * 1.2 = 0.976
Coefficient Healing Touch = (Base Coefficient + Empowered Touch) * Gift of Nature * Tree of Life Aura * Master Shapeshifter
= (1.611 + 0.4) * 1.1 * 1.06 * 1.4 * 1.04 = 2.439
Coefficient Healing Touch w/Glyph = ((Base Coefficient + Empowered Touch) * Glyph Multiplier) * Gift of Nature * Tree of Life Aura * Master Shapeshifter
= ((1.611 + 0.4) * 0.563) * 1.1 * 1.06 * 1.4 * 1.04 = 1.374
In addition to the spell power coefficients for each of these spells, we need to know the base amount healed. With the exception of Healing Touch and Glyphed Healing Touch, these numbers are calculated as follows. The values for Healing Touch and Glyphed Healing Touch are based upon testing:
Base Healed Regrowth = (2494 + 2234) / 2 * 1.1 * 1.06 * 1.04 = 2866.68
Base Healed Regrowth w/Glyph = (2494 + 2234) / 2 * 1.1 * 1.06 * 1.04 * 1.2 = 3440.02
Base Healed Nourish = (2187 + 1883) / 2 * 1.1 * 1.06 * 1.04 = 2467.72
Base Healed Nourish w/HoT = (2187 + 1883) / 2 * 1.1 * 1.06 * 1.04 * 1.2 = 2961.27
Base Healed HT = 5021
Base Healed HT w/Glyph = 2676.74
To summarize these results:
|Spell||Spell Power Coefficient||Base Amt. Healed*|
|Regrowth, Direct Heal (raid heal)||0.781||2866.68|
|Regrowth, Direct Heal with [Glyph of Regrowth] (tank heal)||0.938||3440.02|
|Nourish (raid heal)||0.814||2467.72|
|Nourish with HoT (tank heal)||0.976||2961.27|
|Healing Touch with [Glyph of Healing Touch]||1.374||2676.74|
We can use the Base Amount Healed to determine the average amount healed at different levels of spell power and spell crit.
Avg Healed = (Coefficient * Spell Power + Base Healed) * (1 + Crit Chance * 0.5)
For our Regrowth build, we’ll want to factor in the value of Improved Regrowth which adds another 50% to your chance to crit. Therefore, our average healed formula for Regrowth will look like this:
Avg Healed Regrowth = (Coefficient * Spell Power + Base Healed) * (1 + (0.5 + Crit Chance) * 0.5)
Nourish and Healing Touch aren’t affected by Improved Regrowth. Their formula for average healed will look like this:
Avg Healed Nourish, HT = (Coefficient * Spell Power + Base Healed) * (1 + Crit Chance * 0.5)
Avg Healed Nourish w/4-piece T7 = (Coefficient * Spell Power + Base Healed) * (1 + Crit Chance * 0.5) * 1.15
Living Seed is a difficult talent to factor into this analysis due to its high variance (30% of effective healing done by a spell crit that may possibly have gone to overhealing). WoWHead poster Foobear stated that a predominantly Regrowth-based fight yielded approximately 3% of effective healing done by Living Seed. If Living Seed were to hit for the full value every time, it would increase your extra healing on a spell crit from 0.5 to 0.95 (1.5 * 1.3). At a 60% crit rate, the average healing from factoring in crit would be 157% of the amount healed without crit (versus 130% without Living Seed). If Living Seed were getting its full value, it would account for 17% of effective healing. However, since it’s only doing 3%, we can estimate that Living Seed is only getting about 1/6 of its stated value. So instead of Living Seed giving a 0.45 bonus to crit, we’ll treat it as if it were giving a bonus of 0.08. This modifies our formulas as follows:
Avg Healed Regrowth = (Coefficient * Spell Power + Base Healed) * (1 + (0.5 + Crit Chance) * (0.5 + 0.08) * 1.1)
Avg Healed Healing Touch, Nourish = (Coefficient * Spell Power + Base Healed) * (1 + Crit Chance * (0.5 + 0.08) * 1.1)
Avg Healed Nourish w/4-piece T7 = (Coefficient * Spell Power + Base Healed) * (1 + Crit Chance * (0.5 + 0.08) * 1.1) * 1.15
The formula for finding the HPS of a spell is simply:
HPS = Amount Healed / Cast Time
The “Amount Healed” value can be found using the formulas for Average Amount Healed and will change based on our spell power and spell crit values. At 0 spell haste, the cast time for Nourish is 1.5. The cast time for Healing Touch is 3.0 with Naturalist. The cast time for Healing Touch with the [Glyph of Healing Touch] and Naturalist is 1.0. However, the time to heal for all spells becomes more complicated with the introduction of Nature’s Grace:
Time to Cast = % NG Proc * (Cast Time – 0.5) + (1 – %NG Proc) * Cast Time
The % NG Proc above is based off your spell crit and, for our initial analysis, will be assumed to be 60% for Regrowth and 10% for other spells.
The formula for finding the HPM of a spell is simply:
HPM = Amount Healed / Cost
With the change where all spell ranks will cost the same percentage of base mana, the cost to heal can be expressed as amount healed per 1% base mana or HP1%M. The base mana costs for the spell we’re looking at can be determined as follows:
Base Cost Regrowth = Base Mana Cost * Moonglow * ToL
= 0.29 * (1 – 0.09) * (1 – 0.2) = 0.211
Base Cost Nourish = Base Mana Cost * Tranquil Spirit * Moonglow
= 0.18 * (1 – 0.1) * (1 – 0.09) = 0.147
Base Cost HT = Base Mana Cost * Tranquil Spirit * Moonglow
= 0.33 * (1 – 0.1) * (1 – 0.09) = 0.270
Base Cost HT w/Glyph = Base Mana Cost * Tranquil Spirit * Moonglow * Glyph
= 0.33 * (1 – 0.1) * (1 – 0.09) * (1 – 0.25) = 0.203
A future addendum to this article will be to determine how each of these spells benefit from spell haste and spell crit.
Thanks to Ridley of Grim Batol (EU) for determining and sharing his findings on spell power coefficients and to Mr. Phae for all his mathematical and analytical assistance.
- Restoration Glyphs - Page 4 - Elitist Jerks
- Druid: Simple Questions/Simple Answers - Page 11 - Elitist Jerks
- Resto (PvE) Healing Discussion - Page 7 - Elitist Jerks
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