Nordrassil Raiment and Regrowth
Published on October 25, 2007 by PhaeliaAnalysis, Items and Equipment, Spells and Talents
5 Comments
Don’t hate me because I represent only a minor efficiency increase to an already marginalized spell. 
 1750 +Healing (not unrealistic when considering access to Tier 5)
 60% crit chance on Regrowth from 5/5 Improved Regrowth and an additional 10% from Intellect
 Caster has Empowered Rejuvenation (+20% to +Healing on HoTs) and Gift of Nature (+10% to all heals)
I’m using the scaling values listed for Regrowth on WoWWiki’s article on Spell Damage Coefficients which shows that the direct portion scales at 16.6% (ouch) and the HoT portion scales at a rate of 99.4% or 14.2% per tick. I’ll break down the HoT portion into ticks since that will make it easier to find the value of adding two more. Here are the base stats for Rank 10 of Regrowth:


Click here for the TLDWTRTM version. (too long, didn’t want to read the math)
Direct Heal
To find the average value of the up front heal without factoring in any talents, crit chance, or scaling from +Healing, we simply average the low and high values listed for the spell:
Avg. Heal_{direct, no crit} = (1215 + 1355)/2 = 1285
With a 60% crit rating, we’ll be getting a bonus 150% healed 60% of the time and our usual 100% healed 40% of the time:
Avg. Heal_{direct, crit} = (0.60 * 1.5 * 1285) + (0.40 * 1.0 * 1285) = 1670.5
The direct portion doesn’t benefit from Empowered Rejuvenation since it’s not a heal over time so calculating the bonus from +Healing is just a matter of factoring in the stated scaling value of 16.6%:
Bonus +Healing_{direct, crit} = 1750 * 16.6% = 290.5
Avg. Direct Heal_{direct, crit, scaling} = 290.5 + 1670.5 = 1961
Now we can apply the 10% to Heal bonus from Gift of Nature (which applies to both HoTs and direct heals):
Avg. Direct Heal_{direct, crit, scaling, GoN} = 1961 * 1.1 = 2157.1
Heal over Time
Since the set bonus of the Nordrassil Raiment increases the number of ticks on Regrowth from 7 to 9, I’ll calculate the healing per tick and then find the value of adding two more. First, we divide the total listed HoT by 7 to determine the base value per tick:
Tick = 1274 / 7 = 182
Heals over time can’t crit, so we don’t need to factor our 60% crit rate in. Each tick scales at a rate of 14.2% so we apply this value to our 1750 +Healing. To factor in the benefit from Empowered Rejuvenation, we multiply this value by 20%:
Bonus +Healing per Tick = 1750 * 14.2% * 1.2 = 298.2
Add this value to our base value per tick:
Tick_{scaling} = 298.2 + 182 = 480.2
Factor in the 10% boost from Gift of Nature:
Tick _{scaling, GoN} = 480.2 * 1.1 = 528.22
Multiplying this tick value by 7, we find the total amount healed by the HoT portion of Regrowth is 3697.54. Wearing two pieces of the Nordrassil Raiment gives us two extra ticks for a value of 4753.98.
HoT_{No Set Bonus} = 7 * 528.22 = 3697.54
HoT_{Set Bonus} = 9 * 528.22 = 4753.98
Total Heal
Now we sum these individual totals with the total average of the direct heal to get the total average heal from a talented Regrowth with 1750 +Healing, both with and without the Nordrassil Raiment set bonus:
Avg. Regrowth_{No Set Bonus} = 3697.54 + 2157.1 = 5854.64
Avg. Regrowth_{Set Bonus} = 4753.98 + 2157.1 = 6911.08
Efficiency
Now we divide these average total healed values by the mana cost of Regrowth (845) to find the spell’s efficiency (HPM):
HPM_{No Set Bonus} = 5854.64 / 854 = 6.93
HPM_{Set Bonus} = 6911.08 / 854 = 8.11
For fun, let’s use the discounted mana value provided by Tree of Life (although I’m not factoring in any +Healing bonus from SPI; we’ll just assume you’re healing someone outside your group):
HPM_{No Set Bonus, ToL} = 5854.64 / (0.8 * 854) = 8.57
HPM_{Set Bonus, ToL} = 6911.08 / (0.8 * 854) = 10.12
And finally, to find the average efficiency increase of having the set bonus…
HPM Increase_{No ToL} = (8.11 – 6.93) / 6.93 = 17%
HPM Increase_{ToL} = (10.12 – 8.57) / 8.57 = 18%
Well that was a decidedly lengthy calculation. Does anyone see any corrections that should be made?
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Phaelia
I think these calucations are great and really prove how utterly useless that 4pc set bonus is. I think the pieces themselves are actually really great though regardless.
The T6 4pc bonus is similarly useless, considering that HT is rarely cast at that level (likely less than any ToL druids use Regrowth), and is made to work with all the spell haste gear in BT/Hyjal, which I find similarly useless considering druid spells will still be slower than paladins’/priests’ and casting large heals faster just eats mana faster and none of the spell haste gear includes regen! Makes you wonder (as often) what exactly Blizzard is smoking.
Ada
ps. Love the new site! ^^
7:17 am on 10/26/07The math seems spot on. The 17% is nice, but I think that the change of greater note is how it affects heal rotations on multiple tanks. With the current hot duration, I can’t keep Regrowth up on three tanks in a LB& Rejuv rotation without loosing a LB stack every 3 rotations. I’ll have to go through the order later, but this set bonus should significantly ease that problem.
1:33 pm on 10/26/07@Adarel: Yeah, I don’t think I’ll be passing up Tier 5 any time soon. ^_^ But I wish they’d put a set bonus on it that was a bit less situational. You’re right though; it could be as bad as the Tier 6 bonus to Healing Touch. And for FOUR pieces! /facepalm Glad you like the new site =)
@Hecuba: That’s a really interesting point that I hadn’t considered. Do you strive to keep a Regrowth running on multiple targets at the same time, in addition to your LBs? I pretty much max out at 2 stacks of 3 x LB, a Rejuvenation on one, an occasional Rejuvenation on the other, Regrowth for the one taking more damage when I can, and Swiftmend for spikes. And even that balancing act gives me a headache (which is what Cabernet is for, by the way).
6:13 pm on 10/26/07Excellent math, part of what makes this blog so great. What fantastic subscript/superscript formatting too!
11:36 pm on 10/26/07Could you append the relative HPM of rejuv and a rolling triple stack of lifebloom with +1750 healing and relative talents. It would be interesting to see where 8.11/10.12 HPM for t5 regrowth falls comparatively. I suspect it’s probably still woefully behind but just maybe…
@Bigtoy: I’m not sure if I want to recalculate the values for Rejuv and 3 X LB at 1750 +Healing, but you could check out my article on +Healing which includes a spreadsheet with HPM values for the aforementioned spells up to I believe 1500 +Healing (I think you could easily extrapolate to 1750). I’m no longer 100% confident in the scaling values I acquired from WoWWiki (hence it no longer being listed as part of my Lunar Guidance list), but it would be a great place to start. =)
4:24 pm on 10/27/07