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Author Topic: [Elemental] 2pc T10 Napkin Math w/ 4pc  (Read 1685 times)
Durakghar
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« on: October 29, 2009, 12:06:19 am »
What does the 2pc bonus mean for the cooldown of EM?  Here is some basic math to get a rough idea.

x = Time(sec) taken off the cooldown from current 180 sec
y = number of lightning bolts/chain lightnings until Elemental Mastery is off cooldown
z = new cooldown of elemental mastery and total time between uses.

Before fun with algebra we need some background work and assumptions.

I'll use 1.4 sec LB cast time because most should be close that right now.  In T10 gear we'll be faster than that.  1.4 LB cast time is equivalent to 1.05 sec LvB, CL, and global cooldown.

With that amount of haste and 1.5 seconds off the LvB cooldown (4pc T10 bonus) our priority list is based around 7.55 sec between lava bursts (6.5 sec cooldown + 1.05 sec cast time).

Initial Theoretical Spell Sequence:

0.00 Flame shock
1.05 LvB
2.10 LB
3.50 CL
4.55 LB
5.95 LB
7.35 LvB (will be a 0.2 sec delay before lavaburst but this will work almost perfect with latency factoring in)

Then you may get a spell sequence like:

0.00 LvB (same as the last one at 7.35 above)
1.05 LB
2.45 CL
3.50 LB
4.90 LB
7.35 CL  (cooldown on CL won't line up this perfect but it's close enough for what I'm looking for)

This tells us that we will average approximately 4.5 LB+CL casts per lava burst cooldown of 7.55 sec.  This means our functional cast time in calculating how often 2 seconds will be removed from EM cooldown is every 7.55/4.5 = 1.68 sec

Algebra:

180-x=z  cooldown minus decrease in cooldown is the new cooldown
z=1.68y  new EM cooldown (and total time between uses) is total number of LB+CL casts times the rate of cooldown decrease
x=2y      total decrease in cooldown is the number of LB+CL casts times 2 seconds

Solving for each variable gives:

y = 48.9 casts of CL+LB until EM cooldown is refreshed
x = 97.8 seconds taken off cooldown of EM

TL:DR
z = 82.2 seconds is new cooldown of EM

Napkin math
« Last Edit: October 29, 2009, 12:19:26 am by Durakghar » Logged
eddiii
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« Reply #1 on: October 29, 2009, 02:22:32 pm »
im not a math genius yet i calculated it will be around 90 sec so actualy halved if we cast full time... so how much dps bonus is that
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Durakghar
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« Reply #2 on: October 30, 2009, 12:59:11 am »
This works out to 15% chance to crit for 15 seconds every 82.2 seconds. 

3 min cd:  15% x 15/180 = 1.25% crit = 57.4 crit rating
82.2 sec cd:  15% x 15/82.2 = 2.74% crit = 136.6 crit rating

So the 2pc bonus is worth 79.2 crit rating.  So not much at all.
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Yohassakura
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« Reply #3 on: October 30, 2009, 04:05:43 am »
From what i understand, this is slightly wrong. The mistake you've made is to put LvB on CD as it's cast whereas it's on CD after it's been cast.

Quote from: Durakghar on October 29, 2009, 12:06:19 am
0.00 Flame shock
1.05 LvB
2.10 LB
3.50 CL
4.55 LB
5.95 LB
7.35 LvB (will be a 0.2 sec delay before lavaburst but this will work almost perfect with latency factoring in)

Shouldn't this be, LvB ends 2.10, thus starts at 8.6? - Thus adding another CL at 7.35. (5 casts, with 0.1 wait time on LvB)

Quote
Then you may get a spell sequence like:

0.00 LvB (same as the last one at 7.35 above)
1.05 LB
2.45 CL
3.50 LB
4.90 LB
7.35 CL  (cooldown on CL won't line up this perfect but it's close enough for what I'm looking for)

LvB ends at 1.05, CD off at 7.55 - plus 4.90 + 1.4 = 6.3 so it's Lb,CL,LB,LB,CL,LvB - although you'd have to wait for the CD on CL (0.2secs) so 6.32 have a CL, +1.05 = 7.37 LvB (approximately, as it's not quite off CD unless you factor in latency really (7.55-7.37))

Quote
This tells us that we will average approximately 4.5 LB+CL casts per lava burst cooldown of 7.55 sec.  This means our functional cast time in calculating how often 2 seconds will be removed from EM cooldown is every 7.55/4.5 = 1.68 sec

Approximately 5 LB+CL casts per LvB CD (of 7.55) - reapplying flameshock every third~ LvB.

Quote
Algebra:

180-x=z  cooldown minus decrease in cooldown is the new cooldown
z=1.68y  new EM cooldown (and total time between uses) is total number of LB+CL casts times the rate of cooldown decrease
x=2y      total decrease in cooldown is the number of LB+CL casts times 2 seconds

Solving for each variable gives:

y = 48.9 casts of CL+LB until EM cooldown is refreshed
x = 97.8 seconds taken off cooldown of EM

TL:DR
z = 82.2 seconds is new cooldown of EM

180-x=z
z=1.51
x=2y

I think i'll let you do the math.

Edit #2

I think i cracked it with a lot of spreadsheet work Tongue at least it's "a lot" (not really) more accurate though.

Spreadsheet Link

Edit - Added a heroism option (although i didn't add any extra LB/CL to compensate as that'd mean reproducing a bunch of stuff) but you can still see what effects it has on the "rotation" which is really a priority system anyways but it had to be a set rotation to work out neatly. - I'm not saying that this is the best way to go rotation wise but one way with that set amount of haste to accurately calculate out how much you benefit from T10 2set combined with 4set.

I thought i'd add a screenshot to put peoples minds at rest


So, assuming 1.4 LB, 1.05 GCD...

80 sec cd: 15% x 15/80 = 2.8125 = w/e crit rating.

(or 48/49 total casts really speaking as that's going 3.05 seconds over but same diff, you'd probably want it on the LvB for a "neat" "Rotation" although that's obviously excluding heroism which you'd probably pop it at anyways... - as above, now added a mini heroism option, but it doesn't include any extra LB's/CLs etc - AND when heroism is selected it changes the whole sheet rather than 40 seconds worth... because yeah... it's not that much of a serious spreadsheet imo Smiley - As you might want to pop it in different places (or more than likely it'll be popped at different places because, well... yeah))
« Last Edit: October 30, 2009, 02:55:35 pm by Yohassakura » Logged
Yohassakura (AKA Bob, though it's not my real name!) - 80 Elemental Draenei Shaman
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« Reply #4 on: October 31, 2009, 02:20:10 pm »
Quote from: Durakghar on October 30, 2009, 12:59:11 am
This works out to 15% chance to crit for 15 seconds every 82.2 seconds. 

3 min cd:  15% x 15/180 = 1.25% crit = 57.4 crit rating
82.2 sec cd:  15% x 15/82.2 = 2.74% crit = 136.6 crit rating

So the 2pc bonus is worth 79.2 crit rating.  So not much at all.

And to add to that, don't forget that LvB gets NO benefit from Crit at all.

So yeah... it seems nice on the set.

But in terms of raw power, it's not really awesome.
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