Anyone know the formula for attack speed?

Anyone know the formula for attack speed?

Alright, so, we have your base attack delay as such:

unit cooldown + unit backswing animation

Now, we have agility, which normally gives a 2% attack speed increase (hereto refered as 'asi') per point of agility, and spells that can give +% asi.

Now, how does the asi come into play in the overall formula?

I am assuming the formula would look something like this:
(Cooldown + Backswing) - (Cooldown + Backswing) X Sum of ASI = ## seconds


For example:
Say a unit has 3 sec cooldown and 1 sec backswing animation.


At lvl 1 with 0 agility, we would have...
(3+1) - (3+1) x 0% = 4 seconds.

Now, with 10 agil, thats a 20% asi, so..

(3+1) - (3+1) x 20% = 4 - .8 = 3.2 seconds...

But, that can't be the formula, because then we would be swinging instantly at 50 agility.

So, the formula might be compounding for each 1% asi.

Anyone have any thoughts? or has this been worked out already?

Thanks for any help.

Backswing has no effect, from what I've tried using mortar teams.
Agility would simply multiply the time by 0.98.
Therefore the formula is:

agility
(cooldown) X (0.9


Yeah, that's 0.98 to the power agility.

I'm pretty sure backswing is part of the delay...

Oh well, i'll test that out.

So.. a revised formula would be...

(Cooldown + Backswing) x [(1.00 - agil asi)^agility] x [1.00 - magical ais 1] x [1.00 - magical ais 2] x [1.00 - magical ais 3] x etc.

anyone else have anything to add?

Again, thanks for any and all help.

Yeah, backswing has no effect on the attack speed. Just try make agility does not increase attack speed in gameplay constants and count the cooldown of the unit's attack.

So the formula is:

Cooldown X (0.9^agility