I want to come back to the topic professions, since the discussion starved at some point.
Specifically to the value of engineering.
As far as I see there are 3 sources of damage from engineering:
1.
Synapse Springs
2.
[High-Powered Bolt Gun]
3.
[Saronite Bomb]/
[Big Daddy]
1. The use of
Synapse Springs on cooldown equates to 80 Agi.
In practice however it's unlikely that you will use it in the very first seconds of a fight, if you combine it with Vendetta, which means that you lose some of the benefit (if you delay it 10 seconds, thats a loss of roughly 208 DPS (80 Agi x 2.6 EP)* in the first 10 seconds compared to other professions).
On the other hand the usage with Vendetta increases the DPS gain of the Springs by another 20%. According to the rough comparison of EP with DPS used above, this would mean you get 249.6 DPS (208 x 1.2) every two minutes instead of 208, which is an overall benefit of 20.8 DPS ((249.6 + 208)/2) - 208) when combining the Springs with Vendetta.
Thus the assumed delay would cost you 2080 DMG with is being made up at a fight duration of 100 seconds. Since every given boss fight lasts longer than that, it's a DPS gain to combine the Springs with Vendetta, and this puts engineering theoretically ahead of other professions (at 101.25 seconds ahead of Jewelcrafting).
Another important factor is the fight duration itself. You'll only get the mentioned DPS increases in the worst case since the Springs provide the Agi Bonus at the start of every minute and not at the end. Hence your DPS gains increase further the less time passes between the usage of the Springs and the end of the fight. Assuming the use of the Springs on cooldown without Vendetta, for the sake of simplicity, this looks as follows for 10 second intervals:
Worst case: |-480Agi-|--------|--------|--------|--------|--------| = 80 Agi/Second
Best case: |-480Agi-|--------|--------|--------|--------|--------|-480Agi-| = 137.14 Agi/Second
-> Average = 108.57 Agi/Second
2. As mentioned in the guide it's a DPS loss to use
[High-Powered Bolt Gun] at all as long as you are attacking. But when you are moving and can't attack, and thats the case in nearly every boss fight in this raiding tier for some time, you gain 70.83 DPS (((6800 + 10200)/2)/120) for 2 minutes. When there are multiple targets (e.g. Cho'gall, Maloriak) the benefit gets multiplied by their amount. When hitting 5 targets this would equate to 354.15 DPS for 2 minutes, which is huge (1.7 extra professions).
3. According to Wowhead
[Saronite Bomb] doesn't share cooldown with the High-Powered Bolt Gun (HPBG). Unlike the HPBG the Saronite Bombs don't reset the swing timer and thus can be used on cooldown for a net gain of 22.08 DPS (((1150 + 1500)/2)/60). If you use
[Big Daddy] instead you will gain 83.33 DPS.
The 80 Agi professions provide roughly a static 208 DPS, Jewelcrafting 210.6 DPS.
With Vendetta and Synapse Springs used in conjunction, 10 seconds delay at the beginning of the fight, assuming a fight duration of 5 minutes, only one target and no movement, engineering would net you:
|----|1497.6 DPS ((480 x 2.6) x 1.2) |----|----|----|----| = 249.6 DPS
|----|1248 DPS (480 x 2.6) |----|----|----|----| = 208 DPS
|----|1497.6|----|----|----|----| = 249.6 DPS
|----|1248|----|----|----|----| = 208 DPS
|----|1497.6|----|----|----|----| = 249.6 DPS
232.96 DPS ((249.6 x 3 + 208 x 2)/5).
Assuming a fight duration of 500 seconds (8.33 minutes) engineering would net you:
|----|1497.6 DPS ((480 x 2.6) x 1.2) |----|----|----|----| = 249.6 DPS
|----|1248 DPS (480 x 2.6) |----|----|----|----| = 208 DPS
|----|1497.6|----|----|----|----| = 249.6 DPS
|----|1248|----|----|----|----| = 208 DPS
|----|1497.6|----|----|----|----| = 249.6 DPS
|----|1248|----|----|----|----| = 208 DPS
|----|1497.6|----|----|----|----| = 249.6 DPS
|----|1248|----|----|----|----| = 208 DPS
|----|1497.6| = 748.8 DPS
286.57 DPS ((249.6 x 4 + 208 x 4 + 748.8)/9).
Bloodlust will of course affect this calculations, as it favors engineering when Springs are used during Bloodlust, and does the opposite the other way round. But since, according to the guide, you will want to use Vendetta during Bloodlust, that's not much of an issue.
In both cases you could add Saronite Bombs for exactly 22.08 DPS or preferably
[Big Daddy] for 83.33 DPS in the first example and a bit more in the second, due to the last "minute" being only one third of a minute. If you spend time without attacking you can make use of the HPBG for another 70.83 DPS on single and 354.15 on 5 targets and 708.3 on 10 targets (e.g. Maloriak) respectively, calculated for the 2 following minutes. This doesn't even take crits into account, which are said to be possible at least with the HPBG according to Wowhead. Obviously you will want to safe the Saronite Bombs and the HPBG for adds, if there is less than 1 minute, or 2 respectively, when the cooldown would expire anyway, until they spawn, to get the best use out of them.
BUT remember that you have to be attacking the full duration of the 10 seconds Synapse Springs are up to get the full benefit. Also, if you are forced to delay the usage, Vendetta and the Synapse Springs will get out of sync which will decrease the DPS gain further. If, however, you can use the full 10 seconds and are unable to attack your target afterwards, this will push engineering's value compared to other professions even more, since the cooldown expires anyway.
Also note that you will need additional keybindings to make use out of those 3 damage enhancements and, while not much, some additional attention, whereas all other competitive professions provide their bonus passively. However, it seems to me like you could reduce the number of needed keybindings for engineering down to one, when you macro Vendetta with the Springs, and the Saronite Bombs with the HPBG in a clever castsequence macro (/castsequence reset=59 Saronite Bomb, High-Powered Bolt Gun)(/castsequence reset=59 Big Daddy, High-Powered Bolt Gun).
Overall engineering seems to be superior to all other professions in terms of provided damage. In most cases by a significant and in some by a huge amount. The gap between engineering and other professions widens by a fair margin, if you take the cost to use
[Big Daddy] on cooldown. There are rare scenarios where engineering would be inferior, but I can't seem to find them in the current tier of raiding. This puts engineering and jewelcrafting at the top of professions.
If you find any flaws or errors, don't hesitate to point them out.
*The 1:1 comparison of EP and DPS is not exact. However it's not that far off. See this Post:
Rogue Simple Questions Thread: Cataclysm Edition. Assassination EP values used.