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[Mechanics/Theory Crafting] Haste "Diminishing Returns" and Soft Caps
[Mechanics/Theory Crafting] Haste "Diminishing Returns" and Soft Caps
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I wanted to pull some of the discussion on haste out of the Anub thread. Also, since this topic comes up from time-to-time, I thought it would be good to put the collective wisdom together in one place.

So... if you know what's going on with haste, soft caps and "diminishing returns" please post your summaries.

Here's a few obvious questions:

1. Does haste benefit some spells more than others
a. instant-cast
b. HOTs and DOTs
c. Channeled

2. What is a soft cap?

3. How does haste have Diminishing Returns?
1. Does haste benefit some spells more than others
a. instant-cast--only efect gcd
b. HOTs and DOTs--as of now don't tick faster, only effects their gcd
c. Channeled--channeled faster for full dmg

2. What is a soft cap?--getting the gcd to 1s is the soft cap, 1s is as low as it goes

3. How does haste have Diminishing Returns?--there is no point getting casts below 1s because then you are still waiting on the gcd

note: I don't think I've ever used haste so feel free to correct anything.



--
Righteousness can remain a tanking seal.
So that's what I was doing wrong.
What Riot said is exactly how I understand it. I don't know how it affects trees with the talent that reduces the gcd on instant casts, if at all.
1. Spell Haste Rating

Spell Haste Rating increases the casts of the spell per minute. So the formula for calculating the exact cast time is as follows:

New Casting Time = (Base Casting Time)/(1+(% Spell Haste/100))

The generally agreed upon conversion is 32.79 haste rating = 1% of spell haste.
Since patch 3.1 Death Knights, Druids, Shamans, and Paladins get 25.21 haste rating = 1% of spell haste.

Basic Chart of Spell Haste effects on a 3 second spell:
% HasteCast TimeCPM
0%3 sec20
10%2.73 sec22
20%2.5 sec24
30%2.31 sec26
40%2.14 sec28
50%2 sec30
60%1.87 sec32
70%1.76 sec34
80%1.67 sec36
90%1.58 sec38
100%1.5 sec40

The CPM (cast per minute) is linear increase, but the reduction on spell cast has diminishing returns per % of haste.

2. Global Cooldown

Global Cooldown is 1.5 seconds and can be reduced to 1 second with 50% haste. If you have over 50% haste then your cast time will still be reduced, but you might have to wait for the global cooldown to cast again.

This table explains what spells can benefit from over 50% spell haste and are not being restricted by the GCD cap.
Spell Cast Time before HasteBenefits from over 50% hasteBenefits from 100% haste
>= 2 secsyesyes
>1.5 secs and < 2 secsyesno
<= 1.5 secsnono


3. Raid Buffs

Certain Raid Wide buffs grant spell haste.

Constant:
Ret Paladin(Swift Retribution) or Moonkin (Improved Moonkin Form) 3%
Wrath of Air Totem 5%

Short Duration:
Bloodlust - 30%
% haste to get 1 sec GCD
constant42%
w/ Bloodlust12%

4. Spell type benefit
Spell TypeHaste Improves
Instant CastGCD only
Spell with Cast TimeCast Time and GCD
HOT or DOTGCD benefit only, 3.3 might give more
Channeled spellChanneled faster for full damage

5. Class Soft Cap to reach 1 second GCD

Healer Classes:
ClassHaste from Talents% Haste neededHaste Rating needed
Holy PaladinJudgement of the Pure 15%27%682
PriestEnlightenment 6%
Borrowed Time 25%
11%361
Shaman0%42%1059
DruidGift of the Earthmother 20%
Nature's Grace 20%
Celestial Focus 3%
14%359

DPS classes:

*need better numbers for some of these classes*
ClassHaste from talents% Haste neededHaste Rating
MageNetherwind Presence 6%36%1180
WarlockEradication 6%
Grand Spellstone 7.3%
29%951
Thanks Janthu!

I think there's an error (or something I don't undertand) in your table #2.

Should it not be >= 1.5secs?
Cast Time before HasteBenefits from over 50% haste
>= 1.5 secsyes
< 1.5 secsno

It takes 50% haste (about 1600 haste rating, or some combination of haste rating, auras etc.) for an instant cast (1.5s GCD) to get down to the 1.0s GCD minimum.
janthu has it mostly right. let me add some druid-specific items (mostly tree-ish, phoof or dove will have to contribute for boomkins).

in your item 5, janthu, 22% isn't necessarily right for druids for all spells.

we have a tier 10 talent in the resto tree, Gift of the Earthmother (GotEM), which has 5 points available:
Reduces the base global cooldown of your Rejuvenation, Lifebloom and Wild Growth spells by M%.
where M is currently 4/8/12/16/20% for the 5 points. all trees take this, however many points are necessary to get your GCD on those 3 spells as close as you can to 1 second (see table below). no boomkins take this, as it's too deep in the resto tree.

we also have 2 haste talents in the balance tree. first is a tier 3 talent that is often taken by trees (and all boomkins of course), Nature's Grace (NG), which has 3 points available:
All spell criticals have a N% chance to grace you with a blessing of nature, increasing your spell casting speed by 20% for 3 sec.
where N is currently 33/66/100% for the 3 points.

second is a tier 4 talent that is not normally taken by trees, but is taken by boomkins, Celestial Focus (CF), which has 3 points available:
Reduces the pushback suffered from damaging attacks while casting Starfire, Hibernate and Hurricane by X% and increases your total spell haste by Y%.
where X and Y are 23/46/70 and 1/2/3% for the 3 points. some trees are taking this talent for the anub fight.

the important thing for trees is when you can start dropping points out of GotEM, since we're mostly healing with those 3 HoTS. the following table shows that (*not* assuming any points in CF):
Points in GotEMHaste needed to reach 1 sec GCDHaste with WOA totem and boom/ret aura
5505359
4688541
3890723
21113905
113621086
016401268

so, assuming we have WOA totem up, and there is a boomkin or pally in raid, then if you reach 541 haste, you can drop a point out of GotEM and still have the GCD on the 3 HoTS be 1 sec.

note that spells other than the 3 HoTs (including Healing Touch, Nourish, and Regrowth) still benefit from haste above the soft cap in the above table. in addition, Remove Curse and Abolish Poison also benefit from haste greater than the above levels.


EDIT: the 3.3 patch is going to nerf GotEM to the ground, and is causing extreme consternation in the EJ tree forums. the nerfed levels will be 2/4/6/8/10%, which is going to cause us to stack incredible amounts of haste to get to the soft cap.
Boss:

Table 2 should be clearer now

Roto:

Yeah I don't understand the math on Resto Druids yet. NG = 20% and GotEM = 20% so you should only need 2% to get soft capped which is 51 HR, but none of the numbers work out that way.

Are they assuming 10% average spell haste due to the crit mechanic?

I put your numbers up in the chart, but I don't really understand where they get that number yet.

in "normal" healing, NG is never up for us, because our HoT crits don't proc it. in fact, our HoT ticks used to never be allowed to crit at all, the ability of Rejuv ticks to crit is a brand new mechanic, but those crits don't proc NG. NG only procs on Regrowth, Nourish, and Healing Touch.


Quote by Janthu

Roto:

Yeah I don't understand the math on Resto Druids yet. NG = 20% and GotEM = 20% so you should only need 2% to get soft capped which is 51 HR, but none of the numbers work out that way.

Are they assuming 10% average spell haste due to the crit mechanic?

I put your numbers up in the chart, but I don't really understand where they get that number yet.



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