TrainingGrounds update and Brewmaster calculators

TrainingGrounds update

First things first: we've updated TrainingGrounds to reflect build 21655.  Among the changes made, Strike of the Windlord once again deals full damage to all targets, and we've rearranged the keybinds to emphasize its priority.  If you haven't had the chance to play 7.0 Windwalker yet, give this addon a try.  As always, let us know if anything seems missing or inaccurate.

Stepping away from WW for a bit, we're going to take a quick look at Brewmasters.

Mastery

First, a calculator which determines your overall avoidance from your current Mastery%. We haven't been able to find such a calculator online, so we made our own:

Base avoidance: % Mastery: % (This might take a few seconds.) Results: Average avoidance: - %

To better track diminishing returns, we've also assembled three charts for you which track overall avoidance, avoidance per mastery, and relative damage reduction.

	8%	10%	12%	14%	16%	18%	20%	22%	24%	26%	28%	30%	32%	34%	36%	38%	40%	42%	44%	46%	48%	50%
8%	0.2422387	0.2609304	0.2770495	0.2916539	0.3048091	0.3169034	0.3277879	0.3381519	0.3476706	0.3566253	0.3652674	0.3736164	0.3805874	0.3873803	0.3940172	0.4005012	0.4071459	0.4137645	0.420314	0.4268253	0.4301578	0.4335502
10%	0.2549779	0.2732217	0.2891891	0.3034807	0.3164047	0.3281959	0.3392285	0.3493785	0.3584808	0.3676217	0.376063	0.3842841	0.3909737	0.3976174	0.4043178	0.4108931	0.4174763	0.4241155	0.4305602	0.4354916	0.4389796	0.4424273
12%	0.26792	0.2857137	0.301163	0.3154334	0.3280882	0.3398185	0.3504235	0.360728	0.3698588	0.3785174	0.3869618	0.394641	0.4014227	0.4081874	0.414772	0.4214675	0.4280632	0.4346666	0.4410378	0.4445455	0.4480853	0.4515822
14%	0.2810136	0.2983064	0.3138627	0.3276347	0.34022	0.3517299	0.3620972	0.3722339	0.3811508	0.3898074	0.3982042	0.4053678	0.4120595	0.418771	0.4255466	0.4321276	0.4387478	0.4452734	0.4502867	0.4536848	0.4572684	0.460897
16%	0.2943264	0.3116241	0.3265879	0.3400494	0.3525373	0.3636599	0.3741746	0.3834683	0.3925231	0.4011934	0.4095193	0.4161793	0.4229928	0.4296032	0.4363669	0.442929	0.4496295	0.4560379	0.459514	0.4632411	0.466734	0.4704738
18%	0.3080308	0.324998	0.3396886	0.3530035	0.3648104	0.3757641	0.3862174	0.3954232	0.4042998	0.4128131	0.4204718	0.4272378	0.4340837	0.4409417	0.4474986	0.4539781	0.4604644	0.465489	0.4690153	0.4726651	0.4763381	0.4803118
20%	0.3220747	0.3383922	0.3526025	0.3658687	0.3775427	0.3882554	0.3981857	0.4074379	0.4161289	0.4246167	0.4318216	0.4386958	0.4453456	0.4520942	0.4586033	0.4650983	0.4716013	0.4752602	0.4788388	0.482637	0.4864633	0.4902305
22%	0.3361305	0.3521555	0.3659796	0.3787404	0.3902702	0.4009512	0.4106927	0.4197324	0.4281772	0.4364712	0.4432555	0.4501033	0.4568778	0.4634701	0.4699955	0.4766785	0.4815709	0.485234	0.4889375	0.4927522	0.4965071	0.5004727
24%	0.3504331	0.3659603	0.3794808	0.3921449	0.403219	0.4136739	0.4231329	0.431885	0.4405885	0.4483477	0.454993	0.4618568	0.4684263	0.4750553	0.481649	0.4881319	0.4916291	0.4953949	0.4992443	0.5032348	0.5068128	0.5107493
26%	0.3650279	0.3801628	0.393455	0.4054027	0.4163624	0.4266345	0.435731	0.4445632	0.4528931	0.4601474	0.4667689	0.4736837	0.4803191	0.4869911	0.4934122	0.4983308	0.5021169	0.5059309	0.5097085	0.5135397	0.5174638	0.5214143
28%	0.3798429	0.3945131	0.4074265	0.4190475	0.4297439	0.4396701	0.4486337	0.4574759	0.4655314	0.4723675	0.4790391	0.4857666	0.492309	0.4988616	0.5053212	0.5088564	0.5125804	0.5164303	0.520335	0.5242207	0.5283367	0.5322471
30%	0.3948098	0.4091576	0.4218403	0.4329982	0.4434243	0.4529499	0.4617656	0.4701664	0.477637	0.4846645	0.4915106	0.4980416	0.504583	0.5110498	0.5160372	0.5198022	0.5234797	0.5273302	0.5313696	0.5352472	0.5392303	0.5433726
32%	0.4101417	0.4238875	0.4359059	0.4471976	0.4570883	0.46628	0.4751368	0.4831807	0.4906767	0.4970923	0.5039529	0.5104832	0.5168477	0.5232907	0.5269653	0.5306759	0.5344953	0.5385036	0.5425266	0.5464263	0.5504455	0.554739
34%	0.4254721	0.4387973	0.4504543	0.4611694	0.4709854	0.4797359	0.4884292	0.4964659	0.5033324	0.5097937	0.5165435	0.5229478	0.5294177	0.5344527	0.5381827	0.5420258	0.5460343	0.5498379	0.5537024	0.5579981	0.5620347	0.5663436
36%	0.4412048	0.4536782	0.4653477	0.4753065	0.4851727	0.4939722	0.5020683	0.5094587	0.5161817	0.5229718	0.5293304	0.5357829	0.5420812	0.5459056	0.5497464	0.5535737	0.5575064	0.5615607	0.5654856	0.5698292	0.574044	0.5782089
38%	0.4568349	0.4692842	0.4802379	0.4901902	0.4993027	0.507824	0.5157764	0.5228949	0.5294037	0.5361417	0.5424467	0.5486972	0.5537311	0.5575886	0.5614007	0.56528	0.5693648	0.5735041	0.5775197	0.5815149	0.5858475	0.5902703
40%	0.4726927	0.4845365	0.4953607	0.5048233	0.5136458	0.5218257	0.5297671	0.5363342	0.542971	0.5493624	0.5558086	0.5618307	0.5656705	0.5695993	0.5734225	0.5772883	0.5813196	0.5855315	0.5895055	0.5938373	0.5981327	0.6025609
42%	0.4885725	0.5000052	0.5103367	0.5197742	0.5282801	0.536198	0.5434937	0.5501611	0.5564859	0.5627046	0.5690556	0.5740868	0.5778531	0.5818382	0.5854496	0.5895977	0.5935796	0.5977453	0.6019223	0.6060288	0.6104119	0.614841
44%	0.5048649	0.5157665	0.5257736	0.5346679	0.5427032	0.5503863	0.5574421	0.5638926	0.5703099	0.5764627	0.5823039	0.5862142	0.5901531	0.5941067	0.5981191	0.6021503	0.6062653	0.6103244	0.6144737	0.6188933	0.6231646	0.6274568
46%	0.5212571	0.5314473	0.5411605	0.5497413	0.5576846	0.5652898	0.5717055	0.5781787	0.5842016	0.5902114	0.5953096	0.5989275	0.6030095	0.6068031	0.6108779	0.6148144	0.6188986	0.6232515	0.6274057	0.6314089	0.6359677	0.640467
48%	0.5377432	0.5477839	0.5568078	0.5647676	0.5728473	0.5797517	0.5858399	0.5921806	0.5982799	0.6043047	0.6078844	0.6120724	0.6157152	0.6197409	0.6237372	0.627758	0.6320054	0.6361906	0.6403636	0.6445794	0.6489884	0.653475
50%	0.5541027	0.5639962	0.5724861	0.580419	0.5876862	0.5943492	0.6005067	0.6065433	0.6125425	0.6172781	0.6212	0.6249794	0.6286719	0.632831	0.6367247	0.6411054	0.6451068	0.6493772	0.6535751	0.6578377	0.6620765	0.6666339

Overall avoidance. Each cell is precalculated from a sample of 10,000,000 attacks. Mastery Base avoid 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 34% 36% 38% 40% 42% 44% 46% 48% 50% 8% - - - - - - - - - - - - - - - - - - - - - - 10% - - - - - - - - - - - - - - - - - - - - - - 12% - - - - - - - - - - - - - - - - - - - - - - 14% - - - - - - - - - - - - - - - - - - - - - - 16% - - - - - - - - - - - - - - - - - - - - - - 18% - - - - - - - - - - - - - - - - - - - - - - 20% - - - - - - - - - - - - - - - - - - - - - - 22% - - - - - - - - - - - - - - - - - - - - - - 24% - - - - - - - - - - - - - - - - - - - - - - 26% - - - - - - - - - - - - - - - - - - - - - - 28% - - - - - - - - - - - - - - - - - - - - - - 30% - - - - - - - - - - - - - - - - - - - - - - 32% - - - - - - - - - - - - - - - - - - - - - - 34% - - - - - - - - - - - - - - - - - - - - - - 36% - - - - - - - - - - - - - - - - - - - - - - 38% - - - - - - - - - - - - - - - - - - - - - - 40% - - - - - - - - - - - - - - - - - - - - - - 42% - - - - - - - - - - - - - - - - - - - - - - 44% - - - - - - - - - - - - - - - - - - - - - - 46% - - - - - - - - - - - - - - - - - - - - - - 48% - - - - - - - - - - - - - - - - - - - - - - 50% - - - - - - - - - - - - - - - - - - - - - - Avoidance per mastery. The amount of avoidance gained over base avoidance, divided by your mastery. Mastery Base avoid 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 34% 36% 38% 40% 42% 44% 46% 48% 50% 8% - - - - - - - - - - - - - - - - - - - - - - 10% - - - - - - - - - - - - - - - - - - - - - - 12% - - - - - - - - - - - - - - - - - - - - - - 14% - - - - - - - - - - - - - - - - - - - - - - 16% - - - - - - - - - - - - - - - - - - - - - - 18% - - - - - - - - - - - - - - - - - - - - - - 20% - - - - - - - - - - - - - - - - - - - - - - 22% - - - - - - - - - - - - - - - - - - - - - - 24% - - - - - - - - - - - - - - - - - - - - - - 26% - - - - - - - - - - - - - - - - - - - - - - 28% - - - - - - - - - - - - - - - - - - - - - - 30% - - - - - - - - - - - - - - - - - - - - - - 32% - - - - - - - - - - - - - - - - - - - - - - 34% - - - - - - - - - - - - - - - - - - - - - - 36% - - - - - - - - - - - - - - - - - - - - - - 38% - - - - - - - - - - - - - - - - - - - - - - 40% - - - - - - - - - - - - - - - - - - - - - - 42% - - - - - - - - - - - - - - - - - - - - - - 44% - - - - - - - - - - - - - - - - - - - - - - 46% - - - - - - - - - - - - - - - - - - - - - - 48% - - - - - - - - - - - - - - - - - - - - - - 50% - - - - - - - - - - - - - - - - - - - - - - Relative damage reduction. The amount by which damage is reduced in any given cell, compared to its neighboring cell to the left. Mastery Base avoid 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 34% 36% 38% 40% 42% 44% 46% 48% 50% 8% - - - - - - - - - - - - - - - - - - - - - - 10% - - - - - - - - - - - - - - - - - - - - - - 12% - - - - - - - - - - - - - - - - - - - - - - 14% - - - - - - - - - - - - - - - - - - - - - - 16% - - - - - - - - - - - - - - - - - - - - - - 18% - - - - - - - - - - - - - - - - - - - - - - 20% - - - - - - - - - - - - - - - - - - - - - - 22% - - - - - - - - - - - - - - - - - - - - - - 24% - - - - - - - - - - - - - - - - - - - - - - 26% - - - - - - - - - - - - - - - - - - - - - - 28% - - - - - - - - - - - - - - - - - - - - - - 30% - - - - - - - - - - - - - - - - - - - - - - 32% - - - - - - - - - - - - - - - - - - - - - - 34% - - - - - - - - - - - - - - - - - - - - - - 36% - - - - - - - - - - - - - - - - - - - - - - 38% - - - - - - - - - - - - - - - - - - - - - - 40% - - - - - - - - - - - - - - - - - - - - - - 42% - - - - - - - - - - - - - - - - - - - - - - 44% - - - - - - - - - - - - - - - - - - - - - - 46% - - - - - - - - - - - - - - - - - - - - - - 48% - - - - - - - - - - - - - - - - - - - - - - 50% - - - - - - - - - - - - - - - - - - - - - -

As you might expect, diminishing returns kick in not only as our mastery increases, but also as our base avoidance goes up. Additional mastery contributes less not only to our avoidance, but also to our relative damage reduction. Looking at the third chart specifically, there seem to be some awkward breakpoints where the value of mastery drops off sharply. I'm not sure whether to attribute that to statistical fluke, rounding error, a problem with the formula, or just misinterpretation of the results. You can mouseover any of the numbers in the charts to see how we arrived at them.

Self-mitigation during dangerous events

Next, a "dangerous event" calculator. This one was written to test the efficiency of Purifying Brew and the new Gift of the Mists talent: when you take a chain of very damaging attacks (such as Nightmare Visage, Felblaze Flurry, or Glaive Combo), how much healing do you need to stay alive, and how much damage can you self-mitigate? When you use the calculator, keep in mind the default values reflect a Warlords situation where you might easily take many times your maximum health in damage over a very short amount of time.
(You could also use this calculator to look at incoming autoattacks over a long period of time, but it won't include avoidance or extra damage.)

How much healing do you get on average from one Healing Sphere? Your attack power: AP Your maximum health: HP Chance of "Overflow" generating a greater sphere: (If you don't have this trait unlocked, enter 0.) % chance Critical strike chance: % Healing Sphere AP coefficient: % % of your maximum health At what point does the "Obstinate Determination" artifact trait kick in? (If you don't have this trait unlocked, enter 0.) Below % of your maximum health Starting HP: % of your maximum health Ending HP: Set Ending HP to 0 to calculate the minimum healing required to keep you alive. Set Ending HP equal to Starting HP to calculate the healing required to keep your HP steady. % of your maximum health Time: Total time of the damage event, from the first hit to the last hit. Minimum 1 second. If the total number of hits is 1, this value is ignored. seconds Total number of hits received: For the purposes of generating orbs, the player's HP changes smoothly from starting HP to ending HP with each hit, proportional to the total number of hits. Damage per hit before mitigation: % of your maximum health Stagger rate: delay % of incoming damage Results Calculations went on for a really long time (infinite loop?), so we stopped early. Results are probably incorrect. Damage Without any healing, you'd lose - % HP over - seconds. You need a total of - % HP healing, or - % HTPS, to finish the event with at least - % HP. After the event ends, you're still burning through - % HP Staggered damage over the next 10 seconds. The total damage converted to Stagger was - % HP. You're taking on an average of - % HP Stagger per second. Self-mitigation You could mitigate about - % HP damage with one Purifying Brew. If you aren't using GotM, you would drop - Healing Spheres. These spheres are worth a total of - % HP healing. If you are using GotM, you would instead drop - Healing Spheres. These spheres are worth a total of - % HP healing. That's a difference of - % HP healing.

GotM does a good amount of extra healing, provided either the incoming damage hits for a large portion of your maximum health, or your health drops low during the event. For example, if you run the calculator with the default values, GotM drops an extra 4 orbs, but the damage per hit is very high and you escape the event within an inch of your life. Now compare that with an event where instead of taking 7 hits of 50% each, you take 14 hits of 25% each, and your health never drops below 50%: GotM drops only one additional orb compared to other talents.

Brew charges

Now that you have an idea of how Purifying Brew compares to Healing Spheres, take a look at this brew calculator. This calculator will tell you how many brews you'll have available and how often you can expect to use Purifying Brew if you want to maintain a given Ironskin Brew uptime. It's designed to compare Light Brewing and Gift of the Mists specifically, looking at average and worst-case Face Palm proc rates. Black Ox Brew is trickier to simulate as it won't recharge at the same time on every cycle, but you can get a decent approximation by adding 3+ brews to your Gift of the Mists results.

Active tanking time per cycle: (When you have the boss's attention.) seconds Inactive tanking time per cycle: (When nothing dangerous is attacking you.) seconds Initial brew charges: (On the first cycle, you will have maximum charges. The calculator will tell you if you start with fewer charges on the next cycle.) Maximum 1 charge on cooldown 2 charges on cooldown 3 charges on cooldown All charges on cooldown Initial recharge time: (On the first cycle, this will always be 0. The calculator will tell you if the time changes on the next cycle.) seconds Target Ironskin Brew uptime: (Only while actively tanking.) % uptime Ironskin Brew duration: seconds Haste: % Face Palm proc chance: % Do you have the T19 2pc bonus? No Yes Results Calculations went on for a really long time (maybe got caught in an infinite loop?), so we stopped early. Results are probably incorrect. Light Brewing (average) Light Brewing (worst case) Gift of the Mists (average) Gift of the Mists (worst case) Logs - - - - Brew count - - - - Maximum uptime - - - - Consecutive uptime - - - - Purifying Brew - - - - Caveats - - - - Next cycle - - - - Notes - - - -