Theory: FA-less Fighter/Page

Well, here's a setup on how fast[4] is:

 NB, Big image

*DPS. Multiply with your dmg-range + combo/berserk/charge multiplier to get avg DPS.

Calculating the integral of both gives SB + SB a value of 31.5972, while SB + FA is "only" 30.5955 (NB, from 1-6, not 0-6), so in theory, SB + SB is 3.27% faster than SB + FA. In theory.

(oh and yeah, SB + SB is better after 3.30878898 monsters. In theory.)

Let's see on the PS + FA vs PS + PS one, included:

 NB, Big image

Integral is 32.7302 for X + X, 31.881 for X + FA. 2.6% more damage from being FA-less. In theory.

In-game, however, FA will be way, way more efficient due to the fact that you'll most likely have a majority of 1-4 mobs instead of mobs over 3 monsters big. Also, bosses anyone?

I'll work on some sader-calculations, as these consider a lot of probability to take into account.

Edit: Sader formula:

 Spoiler

All different possibilities:
SB + SB + SB + SB + SB + FA + Coma = only one (NNNNY)
SB + FA + SB + FA + SB + FA + Coma = only one (YYY)
SB + FA + SB + FA + SB + Coma = multiple (this is YYN)
SB + SB + SB + FA + SB + Coma = multiple (this is NNYN)
SB + SB + SB + SB + SB + Coma = only one (NNNNN)

a = chance of FA
b = 1 - a

P1 = b^4 * a
P2 = a^3
P3 = (3 chance 2) * a^2 * b = 3 * a^2 * b
P4 = (4 chance 3) * b^3 * a = 4 * b^3 * a
P5 = b^5
Pall = P1 + P2 + P3 + P4 + P5

x = monsters
c = FA-multiplier
d = Slash blast multiplier
e = coma multiplier
orbs (= 5)
f = (avg) amount of seconds for FA + SB
g = amount of seconds for SB and Coma


Damage-output of all the different damages, DPS-wise:
FA + SB = A = (d * x + c * (1+(1/3)^6-(1/3)^x))/f
SB = B = d * x / g
Coma = C = e * 5.0 * x / g

DPSes:
D1 = (A + B * 4)
D2 = (A * 3)
D3 = (A * 2 + B)
D4 = (A + B * 3)
D5 = (B * 5)

Avg DPS (6 seconds):

((D1 * P1 + D2 * P2 + D3 * P3 + D4 * P4 + D5 * P5)+ Coma)/Pall

Shortened (6 seconds, still):
(a(3Aa^2 + b(3a(2A+B)+b(A(4b^2)+4B(3+b^2)))) + 5Bb^5)/Pall + C

Without FA, the damage is:

5B + C

 care4ppls

I'm completely taken by your mathematical prowess! lol Kudos!