Halves Casting Time (HCT) / Halves Skill Recharge (HSR) Stacking

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Savio
Savio
Teenager with attitude
#1
Q: I have a Holy Rod and Healing Ankh which both have Halves skill recharge of Healing Prayers spells (Chance: 20%) and Halves casting time of Healing Prayers spells (Chance: 20%).



What percent chance do I get now? 40%? 36%? What?


A: The game will check to see if each modifier triggers, so it won't give you a simple 40% chance for either modifier to trigger. Instead, the two chances to activate are independent and overlap.

With Halves casting time, you can get up to a 32% chance to halve casting time, and a 4% chance to quarter casting time.

With Halves skill recharge, you can get up to a 36% chance to halve skill recharge. There used to be quarter skill recharge, but it was removed in the July 13, 2006 update.

Percentage Table:
Code:
Modifiers	|Casting %		|Recharge %	|Avg Time %
1st %	2nd %	|Full	Half	Qtr	|Full	Half	|Cast	Recharge
----------------+-----------------------+---------------+----------------
20	20	|64	32	 4	|64	36	|81	82
20	15	|68	29	 3	|68	32	|83.25	84
20	10	|72	26	 2	|72	28	|85.5	86
20	 5	|76	23	 1	|76	24	|87.75	88
----------------+-----------------------+---------------+----------------
15	15	|72.25	25.5	 2.25	|72.25	27.75	|85.56	86.13
15	10	|76.5	22	 1.5	|76.5	23.5	|87.88	88.25
15	 5	|80.75	18.5	 0.75	|80.75	19.25	|90.19	90.38
----------------+-----------------------+---------------+---------------
10	10	|81	18	 1	|81	19	|90.25	90.5
10	 5	|85.5	15	 0.5	|85.5	14.5	|92.63	92.75
----------------+-----------------------+---------------+---------------
 5	 5	|90.25	9.5	 0.25	|90.25	9.75	|95.06	95.13
Average Time % is the approximate time it takes for your skill to cast/recharge with modifiers. The lower the number in this column, the better the combination of modifiers you have. For example, with two 20% Halves casting time modifiers, on average it'll take you 81% of the time it normally takes for you to cast spells. Just remember: lower is better.

~~~

Now, if you're interested in how it actually works from a mathematical perspective...

Formulas to calculate percentages:
1st % = modifier on one equipped item
2nd % = modifier on other equipped item

Casting %
Full % = (1 - 1st %) x (1 - 2nd %)
Half % = 1 - Regular % - Quarter %
Qtr % = 1st % x 2nd %
Avg Time % = Regular % + (Half % / 2) + (Quarter % / 4)

Recharge %
Full % = (1 - 1st %) x (1 - 2nd %)
Half % = 1 - Regular %
Avg Time % = Regular % + (Half % / 2)


Graphical representation:
Xaero Gouki Kriegor
Xaero Gouki Kriegor
Wilds Pathfinder
#2
I love the title of this thread :P, nice chart, keep up the good work!
Mournblade
Mournblade
Furnace Stoker
#3
I'd have gone with a drop shadow instead of a glow on your title text, otherwise... what a wonderful post! Thanks!! =)
Poison Ivy
Poison Ivy
Forge Runner
#4
Show off....

I mean great job, heh!

*ok shutting up*
Savio
Savio
Teenager with attitude
#5
Quote:
Originally Posted by Mournblade
I'd have gone with a drop shadow instead of a glow on your title text, otherwise... what a wonderful post! Thanks!! =)
Happy now?!
Mr Crapsicle
Mr Crapsicle
Academy Page
#6
That's great work. Thanks for this. And just to be a pain - what does a 20/20 look like with a global 10/10 ? Or two +1 20% chances ? or.... maybe a this could be w.i.p. and hit the community works index ? Unless I've overlooked it, I don't see it there or I need more java...
Mournblade
Mournblade
Furnace Stoker
#7
Quote:
Originally Posted by Savio
Happy now?!
You know it looks better, admit it! (I am .09% happier now, thank you for your efforts in that regard. )
S
Sam Stormwind
Frost Gate Guardian
#8
wow confusing i think i get it. Nice thread
ubermancer
ubermancer
Jungle Guide
#9
Check the 15/5 row.
Savio
Savio
Teenager with attitude
#10
@ubermancer: Someone stole my 8's, I swear.

@Mr Crapsicle: see the chart at the bottom for what happens to a 20% modifier with a 10% modifier. And you can't get 2 +1 (Chance:20%) modifiers. If you could, it'd probably follow the same principle as dual 20% for casting.
Terra Xin
Terra Xin
Furnace Stoker
#11
so if you have two 20/20 mods, your spells cast 19% faster on average?

Did you know that the point of instantaneous casting is 1/8th^^?
ubermancer
ubermancer
Jungle Guide
#12
Quote:
Originally Posted by Terra Xin
so if you have two 20/20 mods, your spells cast 19% faster on average?

Did you know that the point of instantaneous casting is 1/8th^^?
I have, through prodigious spamming of interupts, caught a Canthan boss's Spellbreaker (with Disrupting Chop). What 'point of instantaneous casting'?
ubrikkean
ubrikkean
Lion's Arch Merchant
#13
I'd think that the point of instantaneous casting is however far the program for GW can compute, a much shorter cast than possible in game anyway. The thing is, what the game has as "instant" casts, like a spell after Glyph of Sacrifice, have the same cast time as instants such as stances, but the difference is that it stops your movement when you cast, making it seem like there is actually a cast time and therefore a possibility to interrupt.
Terra Xin
Terra Xin
Furnace Stoker
#14
Quote:
but the difference is that it stops your movement when you cast, making it seem like there is actually a cast time and therefore a possibility to interrupt.
That movement halt is due to the effects of aftercast, which is a universal effect in all spells regardless of its cast time. GWiki wrote up an article about aftercast I believe.

Quote:
What 'point of instantaneous casting'?
The pointat which you experience no effects of casting, and the spell is casted instantly. Actually I posted a thread about this in the mesmer's forum... lemme grab the link:

http://www.guildwarsguru.com/forum/s...php?t=10022189

ooo, actually I used the graphs on Gwiki for fast casting and then combined that with the properties of the 20/20 mod. The point of instantaneous casting I discovered to be 1/10th with fast casting required to be at rank 5 or more (again, with a 20/20 mod also.

now lemme think. if two 20/20 mods can reduce cast time of spells to 1/4 of their time.... then if you party it with FC at (lets just go with rank 16 until I can access the FC graph) you should be able to pull off instantaneous casting for 3/4 spells... roughly about 4% of the time.

I'll look into this more, I might have some information to supplement the OP^^.
LifeInfusion
LifeInfusion
Grotto Attendant
#15
Nice work. It really helps visually convey the point.
MAdnRisKy
MAdnRisKy
Academy Page
#16
you can however interupt even stances so go figure
Savio
Savio
Teenager with attitude
#17
Quote:
Originally Posted by MAdnRisKy
you can however interupt even stances so go figure
You can't interrupt stances.
K
Karalin Taucher
Ascalonian Squire
#18
You cannot interrupt stances, but of course Wild Blow will knock an opponent out of a stance. If Wild Blow hit quickly after the stance had been activated, it could look a little like an interrupt.
Thom Bangalter
Thom Bangalter
Grindin'
#19
math makes my brain hurt.
M
Myrslok
Pre-Searing Cadet
#20
Am I supposed to understand that? =S