I will check your values later, because I am not sure what you are doing is correct but for now lets accept it. I really don't understand what your point is. I tell you that the difference is 3-5% and that both crit and mastery you tell me that its false and in fact mastery is approximately 5% more healing? Or are you trying to tell me that mastery does not increase absorbs more than heals and that the scaling on PWS is not as high as I am saying. If that is the case then we can discuss this further.
5% is not trivial. It is massive. Your entire secondary stat budget does not contribute more than 15-20% healing, so 5% is small overall but a humongous difference in the effectiveness of your stat budget.
---------- Post added 2013-06-03 at 01:54 AM ----------
You need to have another look at these logs
Two of your logs are the same player odd coincidence
Log1) 4 PWS casts in 4min20sec
Log2) PWS is the top heal in all but 1 low damage phases and the only reason that DA is high on that first phase is because of inner focus-PoH usage and a low number of PWS casts. Overall PWS is the top heal on low damage phases.
Log3) and Log4) are ppl with high crit rate who cast PWS only for rapture and maintaining over 100k HPS pretty much everywhere (so no low HPS phase). Even so check the top logs from these encounters.
Log 6) Using heroic logs is like using horridon logs. Kinda pointless as the mechanics of the fight either massively buff atonement or discourage you from using PWS. Indeed this person is using on average one PWS every 30s.
So long 1, 2, 3 and 6 are ppl consciously using low PWS amounts. Logs 2 and 5 actually show that I am right and using 1 PWS every 15s in a phase that is just atonement (i.e. 50-70k) HPS results in very high PWS:Aegis ratios.
Aegis overhealing is high across the board, while PWS overhealing is much lower showing that aegis does not have the innately lower overheal that we think it does.
Also more importantly if you look carefully you will see that aegis partial overheals are a low proportion of the total, so crit loses more from DA overheal than mastery, because mastery only suffers a loss from partial overheal, while crit suffers a loss both on full overheals and on partial overheals that exceed teh mastery amount.
You are making a big assumption by suggesting that the heal part of mastery is lost most of the time. Overheal rates are not that high overall and most of your HPS comes from high HPS low overheal phases.
Even at 40% overheal you are not looking at every spell overhealing at 40%, there is a distribution and a large proportion of heals DONT overheal at all.
Basically the idea that crit loses much less than mastery does is false. The losses suffered by mastery and crit overall are similar if they are balanced and if you stack either one high they begin to lose more and more both from diminishing return and due to increased loses from overheal. So for high crit low mastery, crit suffers much more from overheal than mastery does.
Your initial argument that I disagreed with was that the optimal point is higher crit than the balance point. If the optimal point is between the PWS optimal and the heal optimal that that is more mastery that the heal balance point. If you really do believe this statement then we agree.I'm fairly certain that it behaves exactly like I think, I'm simply looking at different numbers/benefits than you. Yes, the optimal point is probably somewhere in between the pw:s optimal and the heal optimal (although closer to the heal optimal). Crit doesn't really lose a significant value going higher, it's just that mastery gains, which yes makes stacking crit blindly a bad idea.
It is important to note though that I was wrong in assuming there exists a balance point for mastery and crit on PWS. Actually it turns out that mastery is always better, now that I checked the formula.
Personally I am advocating that you should err towards mastery and you advocate you should err towards crit. Which one is best depends mostly on your heal breakdown, but the differences can be as big as 5%. It is important to note that your heal breakdown is largely dependent on your secondary stats, so it is not quite that straightforward to figure it out by comparing different logs from different people and different guilds.
-----------------------------------------------------------------------------------
I am talking about the length that your shields stay active after SS expires. The 2.3s added by the extra cast is massive. It makes a big difference between getting spirit shell fully absorbed on all three groups or suffering losses from expiration. Most of the overheal on spirit shell comes from partial absorb due to too little duration on one of the groups. On 10man because you are SSing both groups adding too many PWS greatly increases the chances of having a partially absorbed stack expire.Are you refering to the actual length the shields applied by SS lasts? If so, the sixth SS adds less than 3 seconds until the SS applications starts dropping (admittedly not from the same grp as it would with 6). You essentially gain one PoH cast in time to wait for the damage to start going out before your shells starts to drop (and in 5's case the shell dropping at that point would be a small one, which gets consumed quicker), it's really not that significant.
I think that having enough haste to add 1 PWS (i.e. enough haste to overcome latency) is essential not somewhat handy. I think that having 2 PW:S is the only break point one should aim for if they are taking haste. They should not aim for the 7th cast, also everyone using SS with PI should check their haste to see if they can fit an extra PWS during SpS.Yep, I agree that having enough haste to fit in one PW:S during your SS applications is somewhat handy (your focus seemed to be on 2 PW:S being so important, which I found strange). Considering that you generally want to/can throw a PW:S right before applying the SS (meaning that rapture usually is on cd during most of it) I don't really think having enough haste to fit another one in is 'that' important, but yes it has some value (especially since it's well, hard to avoid).
---------- Post added 2013-06-03 at 02:58 AM ----------
Ok let me redo your calculations, because I am pretty sure they are not right.
29% crit and 22% mastery unbuffed should translate roughly to 36% crit raid buffed and 30% mastery raid buffed.
The aegis part of all heals is crit*(1+mastery)*(1+0.5*mastery) = 0.36*1.3*1.15 = 0.5382
For ALL heals including spirit shell the coefficient is (1+0.5*mastery)*(1+crit*(1+mastery)) = 1.15*(1+0.36*1.3) = 1.6882
PWS modifier is (1+crit)*(1+mastery) = 1.36*1.3 = 1.768
----------------------------------
Now let us take 10% crit and add 16% more mastery. Final values 26% crit and 46% mastery
The aegis part of all heals now becomes 0.26*1.46*1.23 = 0.466908
The heal coefficient becomes 1.23*(1+0.26*1.46) = 1.696908
PWS becomes 1.46*1.26 = 1.8396
Basically aegis is reduced by 13.35%, healing is increased by 7% and overall healing is increased by 0.5%. The reason is that where we were above the balance point on crit, we now overshot the balance point on the mastery side. Even so mastery still comes up on top slightly on max throughput.
PWS however is increased by 4% due to the heavy mastery.
If we now assume that mastery bonus overheals on half of heals and that your breakdown is 25% aegis, 15% PWS, 20% spirit shell and 40% heals then what we get is
0.25*(1-0.1335)+0.2*1.07+0.2+0.2*1.005+0.15*1.04 = 0.987625, so a loss of 1.24%.
At the balance point C = (0.4+M*(3+M))/(4.8+3.2*M). For PWS mastery actually turns out to be always better because of the 60% higher scaling, so there is no balance point.
So let us now subtract 7% crit and add 11.2% mastery. So final buffed values are 29% crit and 41.2% mastery, which is the breakpoint for heals.
Aegis = 0.29*1.412*1.206 = 0.49383288 an 8.3% decrease
Heals = 1.206/1.15 = 1.048695652174 a 4.9% increase
Heals + aegis = 1.206*(1+0.29*1.412) = 1.69983288 an increase of 0.69%
PWS = 1.29*1.412 = 1.82148 an increase of 3%
0.25*(1-0.083)+0.2*1.049+0.2+0.2*1.0069+0.15*1.03 = 0.99493
So for this kind distribution it seems that I am wrong and going for the balance point makes pretty much zero difference, thus since crit adds some DPS it is best to go crit.
However the numbers show that my other statements were correct. The absolute change in PWS is about twice as big as the absolute change in aegis. Mastery and Crit both increase the proportion of a heal coming from DS.
The important thing to realise is that the distribution actually depends on your secondary stats, so the answer is not really that straightforward. Modelling the damage and comparing high crit with balanced mastery logs is what is required to see the actual differences.