Posthaste

Haste is now assuredly more consequential

We were never a fan of Haste in build 21215.  You might have noticed already, but all the videos in the previous post were recorded with 0 haste.  As we'll discuss further down the page, haste was the stat to avoid, just as mastery is currently the stat to avoid in Warlords.  There wasn't much point in showing you our rotation at 30% or 50% haste if doing so would compromise our throughput.  (After all, who* wants to push more buttons and deal less damage?)
* ...okay, but besides me, who wants to do that?

It turns out the developers didn't think haste was all that great either, and they overhauled it for quite a few classes.

For Monks, Haste now decreases the cooldown of Fists of Fury, Whirling Dragon Punch?, Rising Sun Kick, and Rushing Jade Wind*.

* It already decreases the cooldown of Rushing Jade Wind.

To explain how much of a difference this makes, we compiled a table of every haste benefit we could think of, spanning from Warlords to Legion ... to Legion again.

We should mention that we are bad at designing tables, so we hid this one away inside this spoiler tag that may or may not work when you click on it.

Haste benefits

	Warlords	Legion, build 21215	Legion, build 21249
Faster autoattacks	Depending on the encounter, autoattacks were worth 15-20% of our damage in entry-level gear, and 10-15% of our damage in full HfC gear.	Autoattack value unknown	Autoattack value unknown
Faster channeled spells and DoT effects (does not affect total spell damage)	Fists of Fury, Rushing Jade Wind	Fists of Fury, Spinning Crane Kick, Rushing Jade Wind	Fists of Fury, Spinning Crane Kick, Rushing Jade Wind
Faster Energy generation	Increased benefit from the Ascension talent. Additional Spinning Crane Kicks (weak AOE).	Increased benefit from the Ascension talent	Increased benefit from the Ascension talent
Additional Jabs/Tiger Palms (as a consequence of faster Energy generation)	Jab does weak damage but may proc free Tiger Palm (maintenance buff) or Blackout Kick / Chi Explosion, worth 1-2 Chi	Jab does weak damage but may proc free Blackout Kick, worth 1 Chi	Jab does weak damage but may proc free Blackout Kick, worth 1 Chi
More Chi (as a consequence of additional Jabs/Tiger Palms)	Additional Blackout Kicks / Chi Explosions.  These attacks do moderate damage and generate Tigereye Brew stacks.	Additional Blackout Kicks / Spinning Crane Kicks.  These attacks do light damage and have no additional effects.	Additional Blackout Kicks / Spinning Crane Kicks.  These attacks do light damage and have no additional effects.
More Tigereye Brew (as a consequence of additional Blackout Kicks / Chi Explosions)	Tigereye Brew stacks are consumed to temporarily increase all damage by up to 60%	N/A	N/A
Reduced cooldowns	Rushing Jade Wind (moderate AOE)	Rushing Jade Wind (moderate AOE)	Rushing Jade Wind (moderate AOE), Whirling Dragon Punch? (strong AOE), Rising Sun Kick (moderate ST), Fists of Fury (strong all-purpose)

Don't want to look at all that?  That's okay, we probably got the details wrong.  We'll summarize the important stuff:

In Warlords, we get more Blackout Kicks/Chi Explosions (moderate attack) and more Rushing Jade Winds (moderate talent).  That alone increases our damage by a fair amount, but we also generate Tigereye Brew more often (as a side effect from BoK/CHEX).  TEB stacks are consumed to temporarily boost all damage by 60% -- that includes the damage from our strongest attacks, which are otherwise unaffected by haste.

So, Haste didn't let us use our strongest attacks more frequently, but in return we got to amplify their damage more often, and so it stayed useful to us.  We reluctantly admit that doesn't sound much like "haste".  In fact that sounds like a more active version of our existing Mastery*. 

* which is kind of amusing because our original Mastery back in Mists was a more active version of our Haste

In Legion build 21215, we get many more Blackout Kicks (which is now a weak attack) and slightly more Rushing Jade Winds (moderate talent)... and that's it.  Tigereye Brew is no longer linked to how many BoKs we use, and haste doesn't affect any of our other abilities.

There was some talk recently about how Feral Druids (in Warlords) avoid haste because it doesn't affect their bleed damage at all, and their direct damage isn't strong enough in comparison to take haste over another stat which does affect bleed.  Replace Shred+Ferocious Bite with Blackout Kick and you have an idea of how this works out for monks.

In Legion build 21249, we get many more Blackout Kicks/Spinning Crane Kicks (weak attacks) and slightly more Fists of Fury (very strong attack), Rising Sun Kicks (moderate attack), Whirling Dragon Punch?es (strong talent), and Rushing Jade Winds (moderate talent).

So, Haste finally lets us use our strongest attacks more frequently.  And if that sounds familiar, there was going to be a stat in Warlords that did the same thing -- Readiness -- but they ultimately shelved it because it "doesn't compare well* against [other] secondary stats".  Combining it with haste sounds like a nice compromise.

* In its place, we got Versatility.  Do I sound bitter?  Tryin' to sound bitter here.

What's our maximum APM?

Pop quiz!  Let's say I mistype a number in the monk simulator and give myself 50% Haste.  Also, the cost of Tiger Palm mysteriously drops to 30 while nobody's looking.  What's our maximum APM?

It's not 60.  I've heard some of you say it's 60, but it's not 60.  Each individual tick of Fists of Fury does not count as its own action.  Off-GCD abilities do count as their own actions.

(Standard Disclaimer: everything written in Dagnerous Padna's bolg is based on napkin math and may contain glaring inaccuracies.)

(Special Disclaimer: the following message is based on napkiner math and may contain glaringer inaccuracies.)

At 50% Haste, cooldowns and channel times are reduced to (1/1.5) = ⅔ of their normal amount.
Fists of Fury lasts for 2⅔ seconds at 50% Haste
Each Fists of Fury is 1⅔ APM "lost" (because we're not taking any actions while it channels)

How many Fists of Fury do we use per minute?
Fists of Fury has a 16 second cooldown at 50% Haste

If we don't take Serenity, we simply use Fists of Fury 3.75 times per minute
for a total of 6.25 APM lost
If we're hitting a button every second we're not channeling FoF, that brings us down from 60 APM to 53.75 APM (on GCD)

But if we do take Serenity (and if our goal is maximum APM, we really should), we use 7 Fists of Fury every 96 seconds (delaying each Serenity 6 seconds so we can fit two FoFs inside the 10-second buff)
7 FoFs per 96 seconds is the same as 4.375 FoFs per minute.
4.375 times per minute, we lose 1⅔ APM
which is a total of 7.2917 APM lost
If we're hitting a button every second we're not channeling FoF, that brings us down from 60 APM to 52.7083 APM (on GCD)

Now we add in our off-GCD abilities:
If we take Serenity, we'll use it every 96 seconds: +0.625 APM
If we don't take Serenity, we'll use Tigereye Brew instead: +⅔ APM
If we take Xuen: +⅓ APM
If we take Energizing Elixir: up to 1 APM
Touch of Karma: up to ½ APM

There are plenty of other ways to gain additional actions: Diffuse Magic, canceling SE&F or Flying Serpent Kick, Rolling in between GCDs, etc.  (Then there's interrupts, potions, extra action buttons, and so on -- but those actions aren't exclusive to Monks, so you might not consider them part of your rotation.)

So, depending on our talent choices and encounter details, we can expect our top speed to be somewhere in the neighborhood of 53-55 APM.

Of course, we can also lose APM, either through mistakes in rotation, or in situations where the enemy is unattackable.  Diffuse Magic's nerf and Nimble Brew's removal may finally get us to back off when the boss does something nasty.

Finally, this model assumes we have unlimited resources.  In practice, we won't have enough resources to fill every single GCD, even at 50% haste.

Next time...

That was a lot of words just now.  We were going to talk about "interesting" vs "boring" artifact traits this week, but we'll save that for later.