| Spells, Talents and DPS Discussion DoT's and Curses and Nukes, oh my! Discussion threads on everything relating to the Warlocks Spells, Talents and DPS. |
 |
September 02, 2009, 02:00 PM
|
#1 (permalink) |
|
|
Empowered Imp benefit math and true crit rates
I noticed the one in the destruction talents was old so here you go, and feel free to move. (not to get too EJ on you...): Increases the damage done by your Imp by 5%/10%/15%, and all critical hits done by your Imp have a 33%/66%/100% chance to increase your spell critical hit chance for your next spell by 100%. This effect lasts 8 sec. Math for true crit rate now (assuming 3/3 points taken; I can do math for partials if you require): x= your crit rate t= ratio of spells you cast to imp (# of your spells cast/ # imp firebolts cast) f(x) = x + tx - t(x^2) You get the most benefit from this talent at 50% crit *proof your crit rate =x imps crit rate =x so assuming no overlap or waste of crit would be x+x capping you at 50% if you had a 1/1 cast ratio the real world though: only a percentage of you imps spells will not occur when you would have crit. That is to say that if you crit on 75% of your spells then 75% of the imps crits would be nullified because you would crit anyways leaving only an effective boost of 25% imp crits denoted by (1 - x)x. So far we have for effective crits: x + (x(1 - x)) Adding in time for imp cast: x + (t(x(1 - x)) "simplifying" it => f(x) = x + t(x - x^2) = x + tx -tx^2 => f(x) = x(t + 1) - tx^2 lets assume that our average cast time is 1.75 sec compared to the imp's 2 sec cast time. That puts t=.875. The times are not important individually, it's the ratio that matters so if someone can provide actual data for this it would be appreciated but it will differ with fights and people. therefor: f(x) = 1.875x - .875x^2 so for example if you have 40% crit then in actuality you should end up with a 61% crit rate. crit =>actual crit ~EI% crit added 05%=>9.1% 4 10%=>17.875% 8 15%=>26.16% 11 20%=>34% 14 25%=>41.4% 16 30%=>48.375% 18 35%=>54.9% 20 40%=>61% 21 45%=>66.66% 22 50%=>71.875% 22 55%=>76.66% 22 60%=>81% 21 65%=>84.9% 20 70%=>88.375% 18 75%=>91.4% 16 80%=>94% 14 85%=>96.16% 11 90%=>97.875% 8 95%=>99.156% 4 100%=100% 0 Assuming ISB buff is active along with firestone on weapon the crit cap would be 80% in this scenario. For those of you not taking 3/3 f(x) = x + z(t(x - x^2)) where z= the percentage chance for the effect. (.33 for 1; / .66 for 2) *Please feel free to check my math and logic. Last edited by Carnall; September 02, 2009 at 03:05 PM.. |
|
|
| Sponsored Links |
|
|
|
September 02, 2009, 02:46 PM
|
#2 (permalink) |
|
Character Info
Fingerling 80 Human Warlock Drak'tharon US PvP Guild: Dark Legacy Profile: WoW Rankings Talent Spec: 0/13/58 |
Re: Empowered Imp benefit math and true crit rates
God I feel dumb reading this stuff but thanks for the math. A question, if you had a DOT going when the Empowered Imp goes off, would your DOT take the crit or is it the "spell" casted? |
|
|
|
|
September 02, 2009, 02:56 PM
|
#3 (permalink) |
|
|
Re: Empowered Imp benefit math and true crit rates
From what I've seen it's based off the next casted spell, i.e. your immolate will not consume the effect unless that is your next cast in which case it would be the direct damage part of the spell that is a crit, not the dot. *don't worry about not getting it... that's what keeps us geeks from taking over the world. 
Last edited by Carnall; September 02, 2009 at 03:06 PM.. |
|
|
|
|
September 03, 2009, 01:19 AM
|
#4 (permalink) |
|
Character Info
Maurice 80 Gnome Warlock Burning Legion US PvP Guild: Infamous Mob Profile: Talent Spec: 0/13/58 |
Re: Empowered Imp benefit math and true crit rates
Empowered Imp only effects the next cast spell that can crit. If you cast Immolate after EI then the stat that will crit is the direct damage, not the DD and each tick. If you've got EI and you can Conflag is honestly the best spell to cast. 12s. of Immolate damage autocriting is nice. When farming I'll admit I prefer CB, or SB if immolate isn't on the target, with a insta cast (backdraft?) EI spell. Finally read the OP. This means as far as EI is concerned with your ratio the "soft cap" lies between 45-55%. This is because after this point you start seeing diminishing returns, meaning your overall crit goes up but not because of your imp. 55% is the highest number in this bracket so would be the soft cap. 2 Issues with your math. Imp cast time is 1.5s with talents every destro lock has. Haste, decreases your cast time but not the imps and you have to account for the GCD between spells. in 3s you start with 1 spell and 1 gcd w/o haste not 2 spells. Last edited by Kire; September 03, 2009 at 03:00 AM.. |
|
|
|
|
September 03, 2009, 02:07 AM
|
#5 (permalink) |
 
Status: Subscriber
Character Info
Dyson 80 Human Warlock Scilla US PvP Guild: Eden Profile: Blizzard Armory Talent Spec: 0/13/58 |
Re: Empowered Imp benefit math and true crit rates
Kire, due the the conflag being instant cast, it's very unlikely conflag will benefit from empowered imp since it would be cast immediately after something with a cast time (immo, incin or chaos bolt) which would have already used the empowered imp buff and then you cast conflag immediately afterwards so there's very little opportunity for the proc to occur again for conflag |
|
|
|
|
September 03, 2009, 03:01 AM
|
#6 (permalink) |
|
Character Info
Maurice 80 Gnome Warlock Burning Legion US PvP Guild: Infamous Mob Profile: Talent Spec: 0/13/58 |
Re: Empowered Imp benefit math and true crit rates
I'm aware of this. I said if you can. Often Conflag will be on CD. When EI procs your "ideal" cast is: Conflag, CB, Incinerate, Immolate. EI also deals greatly with the concept of diminishing returns and oppurtunity. Conflag has a 10s cd and EI a 8s up time. This means there is a 20% chance Conflag will be up when EI is. However I *think* conflag also has the highest crit chance of all the destro spells meaning it becomes more ideal to cast it with CB or Incinerate, whichever is available. Last edited by Kire; September 03, 2009 at 03:06 AM.. |
|
|
|
|
September 03, 2009, 03:10 PM
|
#7 (permalink) | |
|
|
Re: Empowered Imp benefit math and true crit rates
Quote:
What is important is the ratio of spells cast for which I left a variable "t" if you wanted to figure out what your benefit was. My numbers were simply an example not the end all because again as I stated different people will have differing cast ratios as will different fights. The main part of this thread was f(x)=x(t+1)-tx^2 However it does show that as someone pointed out the soft cap is essentially 50% which is where I stated you start to get diminishing returns. |
|
|
|
|
|
September 07, 2009, 06:17 AM
|
#8 (permalink) |
|
Character Info
Kilmir 70 Gnome Warlock Aszune Euro PvE Guild: Been There Done That Profile: Blizzard Armory Talent Spec: 0/13/58 |
Re: Empowered Imp benefit math and true crit rates
Does it matter much if the critrate of the imp is way lower then yours? For instance, a log from last night Hodir fight World of Logs - Real Time Raid Analysis: Imp: 19,48% critrate Incin: 46,43% Chaos Bolt: 42,86% Immolate (nuke): 50% Conflag: 63,64% (Note: this is with 2T9 for +10% petcrit) Over all bosses the numbers get even more warped with imp at ~24% and most of my other spells well over 50% critrate.
__________________
Create like a god, command like a king, dps like a slave. |
|
|
|
|
| Bookmarks |
| Tags |
| benefit, Crit, empowered, Imp, math, rates, true |
| Thread Tools | |
|
|
