Originally Posted by Jeges
Havoc, your calculated value of Crit used a 47.5% DA. It should be 0.5 * 1.475 = 73.75%. This brings your 4% crit up to a 5.74% increase in healing.
(though does not change things for PoH of course). I'm also not convinced that crits contribute massively to overheals. Intuitively, it's an appealing notion. Practically speaking, however, I've looked at my ratio of crit/normal effective heal amounts for the last several weeks, and they're typically very close to 2
You've also left out the increase in Crit due to Int.
Finally, in your Haste and Spirit calculations, you're assuming that all spellcasts are equal....
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A crit is a double so the amount of aegis added is 0.5 of a double heal, which is equal to a normal heal.
A crit is basically a 2x heal and 0.5*2xheal*mastery heal as aegis this works out to a total crit modifier of 2+1*mastery. Compared to a normal heal this adds 1+1*mastery extra healing, so the calculation is base healing + (1+1*mastery)*base for every crit. The way I calculated it is correct.
I included crit from int. I have 0.56% from rating everything else is int and I factor in the 5% buff and then 7% buff
PWS does not have a CD and it is less HPS than PoH, PoM has a CD but its even less important than PoH. Haste can dramatically increase the amount of healing you can do because you can increase your PoH to PWS ratio and it dramatically improves PoM since you can now manage to squeeze it in more easily. That means your actual healing can see a bigger increase than you expect just from haste.
But even with cascade which does a CD haste can add dramatic improvents. It can mean that you lose less CD time or that its easier to use it optimally. Being late with cascade because you had to stack that extra 5th stack of evangelism can result in a big loss of healing. But that is difficult to digest the most important thing is windows. Let us say that you could cast 7 PoHs and 1 cascade without haste before everyone is full up and your 8th PoH overheals by 80% because it landed 0.5s too late. If with haste you can squeeze in an extra PoH a little earlier and it overheals by 40% then assuming cascade heals twice as much as PoH (It doesn't just illustrating a point here) then you have the equivalent of 9.2 PoHs without haste or 9.6 PoHs with haste. That is a 4.3% increase. Assuming 2.3s cast time for PoH and 1.4s cast time for cascade to gain an extra 0.5s you only need 2.9% haste. I.e you see a 4.3% improvement for just 2.9% haste.
This is how haste can result in non-linear increases, especially since you can proc borrowed time effectively at will.
As for crit not overhealing more, you are making an important error I think. First of all close to 2 is not 2, the difference can be quite dramatic, here is why:
Lets assume you have 60% overheal on normal heals and 60% overheal on crits. If that is the case then you will have a strict 2:1 relationship on the meters. First of all inner focus adds a bias on crits for low health targets. How important is that bias depends strongly on how frequent your crits are. Here is an example:
10 PoHs with 5 targets = 50 heals so 5 crits with 75% overheal and you got 5 crits with 0% overheal. the average is just 35% overheal. For normal heals you got 50% overheal, however your benefit from crit was zero. If you had 50% crit then you would have 25 crits with 75% overheal and 5 crits with zero overheal so 62.5% overheal.
So low crit rates makes inner focus add a significant bias for crits on low health which reduces overall overheal for crits, but that also receives zero benefit from crit rating. Adding 10% crit rating here will just increase overheal and give zero benefit.
Look at this for example:
Details for Th�*llo - 11-12 15:33 - Ellui - World of Logs
Look at PoH crits having nearly the same overheal as heals, but look at cascade look at atonement. The reason is inner focus adding a bias for crits at low health. Otherwise it is mathematically impossible to have overheal rates of nearly 60% and equal overheal on crits and normal heals. Since crits are 2x bigger then in order to get the same overheal they would have to magically have a preference for low health targets. Its actually not magic its inner focus and its specific to PoH. That does not mean crit is good. It makes crits even worse.
Lets check if this is true for the same log by looking for inner focus PoHs
[21:45:00.553] Th*llo casts Inner Focus
[21:45:01.269] Th*llo begins to cast Prayer of Healing
[21:45:03.624] Th*llo's Inner Focus fades from Th*llo
[21:45:03.712] Th*llo Prayer of Healing Th*llo +*64981* (O: 7405)
[21:45:03.720] Th*llo begins to cast Prayer of Healing
[21:45:04.001] Th*llo Prayer of Healing Req +*73093*
[21:45:04.001] Th*llo Prayer of Healing Primal Fire Elemental +*0* (O: 72722)
[21:45:04.001] Th*llo Prayer of Healing Tiberria +*72976*
[21:45:04.001] Th*llo Prayer of Healing Primal Fire Elemental +*0* (O: 72419)
[21:45:04.001] Th*llo Prayer of Healing Enragedwife +*6987* (O: 65640)
[21:48:30.223] Th*llo Prayer of Healing Saburro +*63347* (O: 17386)
[21:48:30.223] Th*llo Prayer of Healing Wýcked +*81257*
[21:48:30.223] Th*llo Prayer of Healing Xaruki +*81383*
[21:48:30.223] Th*llo Prayer of Healing Shadjr +*80681*
[21:48:30.223] Th*llo Prayer of Healing Ellui +*51560* (O: 46058)
[21:49:40.465] Th*llo Prayer of Healing Studliest +*0* (O: 76811)
[21:49:40.465] Th*llo Prayer of Healing Attittude +*0* (O: 76227)
[21:49:40.465] Th*llo Prayer of Healing Knatt +*0* (O: 76481)
[21:49:40.465] Th*llo Prayer of Healing Eni +*0* (O: 76418)
[21:49:40.465] Th*llo Prayer of Healing Verotha +*0* (O: 83822)
[21:49:42.928] Th*llo Prayer of Healing Saburro +0 (O: 35081)
[21:51:09.244] Th*llo Prayer of Healing Th*llo +*81355*
[21:51:09.320] Th*llo begins to cast Prayer of Healing
[21:51:09.583] Th*llo Prayer of Healing Req +*41682* (O: 39874)
[21:51:09.583] Th*llo Prayer of Healing Tiberria +*81363*
[21:51:09.583] Th*llo Prayer of Healing Primal Fire Elemental +*0* (O: 81338)
[21:51:09.583] Th*llo Prayer of Healing Enragedwife +*81491*
[21:51:09.583] Th*llo Prayer of Healing Zechz +*81713*
[21:51:59.324] Th*llo Prayer of Healing Th*llo +*68795* (O: 7980)
[21:51:59.568] Th*llo Prayer of Healing Req +*49101* (O: 26975)
[21:51:59.568] Th*llo Prayer of Healing Primal Earth Elemental +*0* (O: 76517)
[21:51:59.568] Th*llo Prayer of Healing Tiberria +*76589*
[21:51:59.568] Th*llo Prayer of Healing Primal Earth Elemental +*0* (O: 76053)
[21:51:59.568] Th*llo Prayer of Healing Enragedwife +*76210*
[21:51:59.570] Th*llo Prayer of Healing Zechz +*76395*
I think its obvious that inner focus crits have a lot lower overhealing and I just linked 30 out of the 84 crits here.
So the overheal of crits for PoH is artificially lowered by inner focus. already here 30 out of the 84 PoH crits would not benefit at all from an increase in crit rating and the rest would probably have massive overheal. If a heal overheals by 50% or more then the only benefit of crit is divine aegis. The rest of hte crit overheals by 100%