Originally Posted by Skallewag
Do you take ToT and penance into the equation in any way since one of the upsides of smite spam is more penance casts (and cheaper ones).
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Firstly maths isn’t my strong point so it would be appreciated if others could also test this with their own stats.
Let’s compare a combination of Heal and Penance to a combination of Smite and Penance (benefitting from Train of Thought) over a 60 second time period.
Heal and Penance
Firstly, we can cast at least 6 Penances in the 60 second time period. With my haste, the cast time of my Penance is 1.9608 seconds. So in a perfect scenario, we’d spend at least the following amount of time casting Penance:
1.9608*6 = 11.7648 seconds
This leaves us 48.2352 in which to cast Heal. The current cast time of my Heal is 2.451, meaning we’d be able to cast Heal the following number of times:
48.2352/2.451 = 19.6798
Putting this into the rotation tab on the spreadsheet gives us 6271.93 HPS and 6.99937 HPM. This is assuming a 100% Grace Uptime and without any benefit from Evangelism. All the relevant raid buffs and debuffs have also been applied. With a 70% Grace uptime, the HPM drops to 6.59 and the HPS to 5907.75.
Smite and Penance
The cast time of my Smite is currently 1.9608 seconds, so adding on the 0.5 seconds from Train of Thought, we can do the following number of Smites between each Penance:
10/ (1.9608 + 0.5) = 4.06372
To cast this many Smites, it takes:
4.06372*1.9608 = 7.96814 seconds
If we can cast 6 Penances per minutes, we can cast Smite for:
7.96814*6 = 47.8088 seconds
This gives us a total time spent casting of:
(6* 1.9608)+ 47.8088 = 59.5737
We therefore end up casting Penance for an additional:
60-59.5737 = 0.42634 seconds every minute
The total number of Smites casted would be:
4.06372*6 = 24.3823
The total number of Penances casted would be:
(0.42634/1.9608)+6 = 6.21743
Putting these numbers into the rotation tab on the spreadsheet gives 8032.64 HPS and 6.54395 HPM. This is assuming a 70% Evangelism uptime which is very favourable to Heal and a 100% Grace Uptime. This is with all the relevant raid buffs and debuffs as well as making Smite benefit twice from Twin Disciplines. It should also be noted the coefficient of Smite was changed to 0.854.
With a 100% Evangelism uptime, its HPS is 8328.78 and its HPM is 7.66. Penance does benefit from Grace and reducing the uptime of Grace to 70% provides HPS of 8189.07 and HPM of 7.53.
Conclusion
The HPM of a Penance and Heal based rotation is only superior to a Smite and Penance based one when Evangelism cannot be maintained. With the plethora of raid damage on most encounters, it’s unlikely that Grace can be maintained 100% of the time on a tank. With a 70% Grace Uptime, a Heal and Penance based rotation is about equal to a Smite and Penance based one in HPM. However, due to the superior HPS of a Smite and Penance based rotation, it would be preferable to use such. Finally using Smite over Heal provides the use of Archangel which provides a HPS and HPM boost to Prayer of Healing and other spells in a heavy damage period where Smite is not appropriate.
Edit: Updated the post to avoid confusion. It came across that Heal was the superior choice due to not considering Grace falling off and the fact a 70% Evangelism uptime is rather unfair on Smite.