well, at least now we know where that ended up going wrong, at least, lol... oh, I have found it...
Q: How are the battle results calculated?
A: Well, in the battle, it is not only one formula, but several, that modify the base atributes of your fleets.
I will try to describe them for you...
X is attacker Y is defender:
C - crew level bonus
A - attack (all weapons)
AC - accuracy (0-1)
AB - accuracy bonus from computers
ASP - accuracy siege pennalty (-0.1 reg, -0.3 board -0.3 raid, -0.8 ambushed)
ACP - accuracy mutiple shots penalty (between -0.6 and -1 depending on the shot, at first shot is 0 )
S - shield abs
D - defence
DB - defence bonus from specials
SM - swarm bonus
N - numbers
TA - total fleet attack
TD - total defence
TA = (A + C + SM) * (AC+AB-ASP-ACP) * N
TD = (D + C + SM) * (D * (1+DB) ) * N
When we have X stats and Y stats, then comes the battle, and shields absorbiton, defence to determine damage done and received, other formulas lol... ok, hope this helps... :
so then... assuming there is not yet another formula somewhere in there (in that case this whole thing here is pointless... really... what I'm about to do I mean, just... pointless)
it would be: (substituting certain stats for what is already taken into account)
TA = 45,871,066,607 * 0.89 * 53
TA = 40,825,249,280.23* 53
TA = 1,920,621,558,835.09 (rounded down)
2,163,738,211,852.19 * (1-0.71) <= sheild
2,163,738,211,852.19 * 0.29
total damage done: 556,780,252,062
enemy max attack duo's ship max hp
627,484,081,437 > 569,475,255,375
so, yes, according to this, at these stats, everything DID in fact work just fine.