Updated Numbers

Let's combine the two previous entries.

Suppose you have 1.94 SPS and want to apply poisons. Your chance to apply per second is equal to:

1.94*Application Chance*Hit Chance

Simple enough. Let's assume 100% hit chance first. Let's compare DP(30%) to IP(20%) with 2000AP, so that IP does 750damage and DP does 775/12s (64.5DPS), first with Vile Poison (20% damage)

1.94*0.2=0.38 or every 2.6s = 346DPS
1.94*0.3=0.58 or every 1.7s = 386DPS @ 5 stacks

Let's include Improved Poisons, which increases the chance by 25%.

1.94*0.45=0.87 or every 1.15s = 652DPS
1.94*0.55=1.07 or every 0.93s = 322DPS @ 5 stacks


If we look at your standard 80% hit chance....
With Vile Poisons: IP = 3.2s/281DPS DP=2.1s/386DPS
With Improved Poisons: IP = 1.4s/535DPS DP=1.16s/322DPS


With Master Poisoner, you're only using IP so that's the number we should be looking at. From numbers alone, Improved Poison is a huge improvement over Vile Poisons.


But Vile Poisons also increases Envenom. With a full stack of DP applied every 16s/7 seconds, depending on the talent, we need to look at the potential damage. Taking the former...

At 16s per 5 stacks, and running a 4+Envenom cycle (which we saw in the last post) means Envenom happens every 18.5 seconds, so you definitely have 5 stacks on, though on average you still only have 77dps after first 3.2s, and increase of 77 per 3.2s and finally 368@16s. That's an average 2.7stacks over 18s, or an average 198DPS, a significant DPS loss.

At 7s per stack, you reach 322DPS after 7s, which is twice as fast as before and you average 4.2stacks over 18s, or an average 270DPS.

Envenom itself does on average 1080dmg (with an average 4.5 CP per use). With VP, this is increased to 1296. So, with VP you have 1296/18s = 72DPS or with IP, 1080/18s=60DPS. Eviscerate does about 1500dmg so a slight increase to 86DPS. Rupture does 90DPS (and takes 14.5s to cycle) or 117DPS with the talent(this goes down when you use other finishers.... ).


The question then becomes, why use Envenom at 4+points instead of 2+ and save the extra DPS for Rupture? Envenom increases the chance to apply a poison by 25% for 1cp+1 seconds per use, so with 4+ you have an average 5.5s. With 2+, you have 3.5s. That 25% is just like Improved Poisons....

Numbers:
VP --> 1.4s application speed for duration. 5.5 will have 5 stacks after 8.8s for 294DPS. With 3.5s, it's 270DPS.
IP --> 0.93s application speed for duration. 5.5 will have 5 stacks after 4.6s for 289DPS. With 3.5s, it's 283DPS.

Both of these only account for DP and not the damage already gained from IP. The IP damage bonus from 0.93s for 5.5s is 74DPS and 47DPS at 3.5s.

So, you have Rupture at 64DPS. You have Improved Poisons which gives an inherent 535DPS with Instant Poison. You use Envenom at 2+ (21DPS), you have 283DPS + 47DPS from DP for a grand total of 950DPS.

Other Option, you have Rupture at 44.4DPS, IP = 535, Envenom 4+(27DPS), you have 289DPS + 74DPS is equal to 969DPS.

A 4+Envenom does more damage.

Let's try no Rupture at all! 4+Envenom all the time. Cycle is 15.5s.
IP=535DPS, Envenom 4+=70DPS, DP = 289DPS, bonus 74DPS on IP for a total of 968.

A 1DPS difference is a 0.1% difference.

Statistically speaking, you should always use a 4+Envenom.

That was longer than I expected!