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Old Sep 08, 2006, 12:18 AM // 00:18   #1
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Default Halves Casting Time (HCT) / Halves Skill Recharge (HSR) Stacking

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:
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Last edited by Savio; Oct 03, 2006 at 06:52 PM // 18:52.. Reason: less pics, more text
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Old Sep 11, 2006, 04:52 AM // 04:52   #2
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I love the title of this thread :P, nice chart, keep up the good work!
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Old Sep 11, 2006, 12:34 PM // 12:34   #3
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I'd have gone with a drop shadow instead of a glow on your title text, otherwise... what a wonderful post! Thanks!! =)
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Old Sep 11, 2006, 01:24 PM // 13:24   #4
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Show off....

I mean great job, heh!

*ok shutting up*
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Old Sep 11, 2006, 02:25 PM // 14:25   #5
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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?!
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Old Sep 11, 2006, 06:41 PM // 18:41   #6
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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...
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Old Sep 11, 2006, 07:14 PM // 19:14   #7
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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. )
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Old Sep 11, 2006, 09:23 PM // 21:23   #8
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wow confusing i think i get it. Nice thread
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Old Sep 11, 2006, 10:14 PM // 22:14   #9
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Check the 15/5 row.
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Old Sep 12, 2006, 12:59 AM // 00:59   #10
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@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.
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Old Sep 12, 2006, 10:57 AM // 10:57   #11
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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^^?
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Old Sep 12, 2006, 02:29 PM // 14:29   #12
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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'?
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Old Sep 12, 2006, 11:44 PM // 23:44   #13
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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.
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Old Sep 13, 2006, 01:15 AM // 01:15   #14
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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^^.
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Old Sep 13, 2006, 04:02 AM // 04:02   #15
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Nice work. It really helps visually convey the point.
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Old Sep 13, 2006, 08:34 AM // 08:34   #16
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you can however interupt even stances so go figure
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Old Sep 13, 2006, 08:44 AM // 08:44   #17
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Quote:
Originally Posted by MAdnRisKy
you can however interupt even stances so go figure
You can't interrupt stances.
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Old Sep 13, 2006, 08:50 AM // 08:50   #18
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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.
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Old Sep 13, 2006, 11:08 AM // 11:08   #19
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math makes my brain hurt.
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Old Sep 13, 2006, 11:23 AM // 11:23   #20
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Am I supposed to understand that? =S
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