Run speed enchants to boots
I looked at this issue in great detail as the math that was provided on the TTT was totally incomprehensible to me and I was deferring to community consensus on the issue rather than to a clear understanding based on numbers. I decided to go back and do my own. I will be the first to admit that my math is generally pretty unreliable, so please correct it as you see fit. I do anticipate that at least some of the math in this post will be incorrect.
The following post is EXTREMELY simplistic in its explanation, bordering on patronising. Believe me that its style is for my benefit alone, and I apologise for how laboriously it reads.
Run speed provides a speed increase of 8%. Broken down:
- If you are running for 1 second, you will get to your destination 0.080 seconds faster.
- If you are running for 1 minute, you will get to your destination 4.8 seconds faster.
- If you are running for 5 minutes, you will get to your destination 24 seconds faster.
- If you are running for 10 minutes, you will get to your destination 48 seconds faster.
Using a BiS set up (roughly 7400 DPS), Catâ€™s Swiftness over Icewalker nets a 20DPS decrease. Broken down:
- Over a minute encounter, this is 1200 total dmg
- Over a 5 minute encounter this is 6000 total dmg
- Over a 10 minute encounter this is 12000 total dmg
Using a 7400 DPS build, we can then ask how much extra DPS time we need on the target to off-set this lost 12000 dmg?12000 dmg lost/7400 DPS (how much DMG you do) = 1.6 seconds.
So in a 10 minute encounter:
- If you GAIN an extra 1.6 seconds worth of DPS time on the target as a result of your Catâ€™s Swiftness enchant, then you have not lost any dmg- you have broken even versus Icewalker.
- If you do not gain an extra 1.6 seconds on the target, then you have in fact lost dmg vs Icewalker. Icewalker would have given you 12000 dmg, where as your run speed has given you less.
- If you gain more than 1.6 seconds on the target, then you have gained more DPS than what Icewalker would have been able to provide. Icewalker would have given you 12000 dmg, but your ability to DPS the boss for longer means that you will do more total dmg.
We must then work out how much running we have to do to for run speed enchant to get us to our destination 1.6 seconds faster. This 1.6 second GAIN must logically be 8% of the total non-DPS travel time (since run speed is an 8% speed increase). So over a 10 minute encounter, that equates to:X/100*8=1.6 seconds
X= 20 seconds
- If during a 10 minute encounter you are geared to do 7400 DPS and you spend 20 seconds travelling between DPS targets, Cat's Swiftness will get you to your target 1.6 seconds faster than if you did not have the enchant, and that 1.6 seconds worth of DPS time would equate to 12000 dmg, the same amount of dmg that Icewalker provides over the course of 10mins.
- Travel for more than 20 seconds and you gain even more total dmg on your target (more than the 12000 dmg provided by Icewalker) and so the run speed enchant is superior.
- Travel for less than 20 seconds and the run speed enchant has not provided the required 12000 dmg, making Icewalker better.
I wanted to apply these results to Ulduar. The following is a list of Ulduar encounters and the approximate travelling time an Enh Shaman would be forced to endure. All listings are for the hard modes. I am aware that these values are highly subject to both your guildâ€™s strats and RNG (getting chain gravity bombed on XT for instance). They are however entirely accurate in my experience, and I will guess that most people have had similar experiences.
|Avg run time
Razorscale|5m|0-10s|Running between groups of adds. Running to Razor when she lands..
Ignis|5m|0s|You are constantly on the boss
XT|10m|0-20s| Running out for gravity bombs
Iron Council|8m|10-20s| Running out for 4 (four) overloads/runes of death (depending on strat)
Kolargon|5m|0-10s|Running back to boss after being grabbed
Auriaya|5m|5-10s|Running back after fears
Hodir|3m|5-10s|Running between Frozen targets on the pull, then running to boss.
Thorim|7m|0-10s|Running out to meet an add to begin DPS early (as you walk it back to the middle).
Freya|10m|30s+|Running between various adds and trees
Mimiron|9m|30s+|Avoiding his AoE, chasing adds in P3
General|9m|0s|You are constantly on the boss
Yogg|12m|30s+|Running between adds, tentacles and the brain rooms.
Algalon|8m|10-20s|Avoiding Cosmic Smashes, running in and out of portals for Big Bang.[/TABLE]
In your average 5 minute encounter, someone pushing 7400 DPS will need to be running for more than 10 seconds to see run speed as the superior enchant. At a more realistic 6k DPS, the shaman will need to be running for 12.5 secs to reach the break even point. In the case of many examples listed above, the run speed provides either a breakeven benefit or no benefit at all. The only examples where run speed clearly provides superior DPS are Freya, Mimi and Yogg. The rest have very limited run times that are dependent upon luck of the draw, and even then your number may number come up (admittedly, your number might be also be spammed, in which case the run speed would be superior). Conclusion
I set out to challenge the consensus that run speed will provide superior DPS on most encounters and should therefore be considered the single BiS enchant. Looking at these numbers, I am not convinced that run speed provides a clear, superior DPS benefit over Icewalker in a majority of encounters because:
1) Many encounters derive no benefit from the enchant whatsoever;
2) Many encounters will see the total dmg gained from run speed being roughly equal to that provided by Icewalker.
I would however note the scalability of run speed vs Icewalker. As your DPS increases, the value of run speed over Icewalker increases greatly. We seem to be a point in the content cycle where the duration of encounters and our DPS intersect to make both of these enchants equally viable. This will change in time as average DPS increases. For now however, I am of the opinion that run speed provides no clear benefit over Icewalker to the point where we must make it a mandatory aspect of this exercise. I will continue to allow Icewalker as an enchant, pending the discussion that my flawed math and generic encounter descriptions will generate.