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 Post subject: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Wed Dec 24, 2008 7:35 am 
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Holy Knight
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http://plusheal.com/viewtopic.php?p=12190#p12190

This calculation is now correct.

Information in this post is now inaccurate since 3.0.8


--------------------------------------------

DATA REMOVED AS IT IS INACCURATE

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Last edited by perrin on Mon Jun 22, 2009 4:37 pm, edited 2 times in total.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Wed Dec 24, 2008 10:23 am 
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Okay, so one question has been answered, GotEM and haste are independent variables in GCD reduction.

I have a hard time understanding the bolded part of the equation. Can you explain?

* 15.38 Haste% = 1.5 - (1.5 / 1.1538) = 0.200

1.5 - X = 0.2
X = 1.3

Based on the equation above

X = [ 1.5 / (1 + haste%) ] = 1.3
X = [ GCD / ( ? ) ] = 1.3

**************************

Now if we just look at straight percentages since GotEM is based on percentage not a specific haste rating we go back to my original calculations.

Original GCD = 1.5s
Total GCD Reduction Target = 0.5s
GotEM Reduction % = 20%

[Total Percentage of Original GCD Reduced to achieve 1.0s] = 0.5s / 1.5s = 33%

So if we just take the total target percentage and subtract GotEM then we are left with the percentage in which Haste needs to reduce the original GCD by.

Total Percentage = GotEM% + Haste%
33% = 20% + Haste%
Haste% = 13%

Now, based on just percentages we have determined the Haste%. This percentage is based on the original GCD. So, let's prove this amount:

assuming GotEM 5/5 the total amount of time to get to 1.0s GCD = 1.5s (0.8) - X
X = 0.2s (amount of time Haste reduction has to achieve)

now, what percentage is 0.2s relative to the original GCD?

(0.2s / 1.5s)* 100% = 13%

Maybe I'm just oversimplifying this or my calculations assume certain factors that skew my data. Could someone please prove me wrong here or at least explain what exactly X = [ 1.5 / (1 + haste%) ] = 1.3 breaks down to? I would like to know each component of that equation. That maybe the thing that I have not taken into consideration in my equations. Maybe my engineering degree was worthless in the end... /sigh

Thanks


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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Wed Dec 24, 2008 5:37 pm 
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Haste is not Cast Time Reduction.

In order to get a GCD of 1.0s without any other effects but Haste you require not 33% haste, but 50% haste.

Haste is a % increase in the speed at which your spells are cast.

If you can cast 100 spells in 150 seconds, then in order to cast such that you're at 1.0s casts, you need to cast 150 spells.That's a 50% increase in the rate at which you cast spells.

In order to get the 13.3333% decrease in the casting time, you need to increase your casting speed by 15.38%.

http://elitistjerks.com/1026938-post168.html is my post in the EJ forum.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Thu Dec 25, 2008 2:01 am 
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The most important thing to take away from this is that math fails when it comes to GotEM, as does the logic of haste when compared to any other abilities or talents. GotEM removes 0.3 seconds from your global cooldown. GotEM is independent of Haste (this is the part that defies all other cases in game). So in order to have a 1 second GCD you need to have a 1.3 second GCD and spec 5/5 in GotEM. To get your GCD from 1.5 to 1.3 you need 505 haste. I am glad that I now understand how blizzard calculates the GCD for resto druids, but it was painful to figure out. I hope that this is spelled out in very simple terms so that everyone can understand. If you have any questions beyond this I am sure someone will be happy to explain further.


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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Sun Dec 28, 2008 9:48 pm 
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Healing Authority

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Nice work, Perrin.

Agree with the maths, though in my own calcs I'd omitted to allow for the fact that the effect of haste at 80 is not the same as at 70 (where it only took 15.7 haste to increase casting speed by 1%). Oops, thought I was "haste-capped"...

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Dec 29, 2008 12:58 am 
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I've always been wondering, is there a place where you can check your globalcooldown, this way we can try to figure out blizzards crazy math :P

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Dec 29, 2008 1:41 am 
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Krichaun wrote:
I've always been wondering, is there a place where you can check your globalcooldown, this way we can try to figure out blizzards crazy math :P


Make a macro for
/script print((select(2, GetActionCooldown(1))))

Make one of your instant cast spells numbe 1 on your action bar, and while inside the global cooldown press your button for this macro. It will show you a number. It will say 0 if you are outside the GCD when you press it.


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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Thu Jan 01, 2009 11:07 pm 
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This is fantastic information, especially to a holy priest with a non-theorycrafting resto druid gf. lol :-D

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Fri Jan 02, 2009 12:21 am 
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Heal Master!
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LoL :P

There is alote of info for you on this forum then. I would advice you to check out Lifeblow for newbies and the specc topics

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Sat Jan 03, 2009 12:47 pm 
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the Guild Killer
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Quote:
2) PlusHeal needs a Latex engine. Its a very nice equations tool, not sure there's a phBB version but its very nice to put up maths.


Send me a PM about this. Mainly what its about and why you think it'd be an asset for this forum.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Jan 05, 2009 12:22 am 
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Heal Master!
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LoL Emo signature :P

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Wed Feb 25, 2009 7:51 am 
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Sapling

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For a way to check you haste/gcd try this calc

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Apr 06, 2009 10:55 pm 
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viewtopic.php?p=12190#p12190

This calculation is now correct.

Information in this post is now inaccurate since 3.0.8

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Fri Jun 05, 2009 2:35 pm 
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Sapling

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Does that 505 include wrath of air and imp moonkin/imp ret aura? If not what amount of haste is needed with those buffs?


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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Wed Jun 10, 2009 3:16 pm 
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rolandous wrote:
Does that 505 include wrath of air and imp moonkin/imp ret aura? If not what amount of haste is needed with those buffs?


Please re-read the post above yours.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Sat Jun 20, 2009 11:00 pm 
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Sapling

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yes, yes, I know this thread is almost a year old, and the numbers have likely changed a bit with the patches since 3.08. My question has nothing to do with any of the theorycrafting numbers.

Is 1 second still the "hard deck" for GCD, even with GotEM?


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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Sun Jun 21, 2009 4:16 pm 
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Skorpyon wrote:
Is 1 second still the "hard deck" for GCD, even with GotEM?


As far as I'm aware, yes it is. There are very few things that will drop your GCD below 1, and I believe they're all temporary buffs, such as Bloodlust or the spellstolen buff in ZA.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Sun Jun 21, 2009 11:57 pm 
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The only thing I'd add is that once your Hots (with GotEM) are at a 1 sec GCD, Haste is not entirely useless... the ability to reduce your Nourish and Regrowth cast time is still arguably better usage of stats than a bit of Crit.

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Jun 22, 2009 5:38 am 
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I don't get the calculation to match my ingame findings.

i have 11.65% spellhaste, and 5/5 GotEM.

The cd on my lifebloom is 1.074

If i apply your formula

1.5-(1.5/(1+.1165))=0.1565

additional reduction from GotEM = .3

1.5-(.3+0.1565) = 1.0435

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 Post subject: Re: Gift of the Earthmother Redux (or "What I learnt at EJ")
PostPosted: Mon Jun 22, 2009 4:38 pm 
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THIS IS THE OLD POST BUT IS WRONG NOW. It remains here ONLY for historical reference. If a Mod could lock this thread I'd appreciate it.


For those who haven't seen it, we were discussing GotEM's interaction with haste and my interpretation of it meant that the established value wasn't right. After discussion on the EJ's forum I discovered a number of things:

1) PlusHeal is a much nicer place when it comes to questioning established logic. My issue was with an established figure that didn't match what I thought it should, but finding that out wasn't the easiest to do.

2) PlusHeal needs a Latex engine. Its a very nice equations tool, not sure there's a phBB version but its very nice to put up maths.

3) GotEM and Haste are independent.

The adjustment to the GCD from GotEM does not affect the time that Haste removes from the GCD, nor does the time that Haste removes from the GCD affect how much GotEM. We might need to get Phaelia to modify her post on the talents of Wrath, but no matter how much haste you have GotEM removes 0.3s from the GCD. This was the point I misunderstood. Its 20% of the 1.5s GCD, not 20% of the haste modified GCD.

The adjustment to the GCD from Haste does not affect the time that GotEM removes form the GCD either. No matter how many points you have in GotEM, your Haste will remove the same amount of time from the GCD.

4) The Haste required to get 1.0s GCD with GotEM 5/5 is 505.

If all you want is the values stop here. Maths ensues.

New GCD = 1.5 - (Reduction from GotEM + Reduction from Haste)

Reduction from GotEM = 1.5 * GotEM%)

Therefore
* 5/5 GotEM = 1.5 * 0.20) = 0.30s
* 4/5 GotEM = 1.5 * 0.16) = 0.24s
* 3/5 GotEM = 1.5 * 0.12) = 0.18s
* 2/5 GotEM = 1.5 * 0.08) = 0.12s
* 1/5 GotEM = 1.5 * 0.04) = 0.06s

Reduction from Haste = 1.5 - (1.5 / (1 + Haste%))

* 15.38 Haste% = 1.5 - (1.5 / 1.1538) = 0.200

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