Defense Ignore Formula & Reinforce Hyper Skills

 Defense Ignore

The new defense ignore formula in Unlimited takes every single source of ignore separately, and uses them multiplicatively. This can be viewed as each source reducing the enemy's currently remaining defense by that much.

For example, Chaos Pink Bean has 180% Defense.
If you have 30% Defense Ignore, you ignore 30% of 180%, which leads to 126%.
If you have another 15% Defense Ignore, you ignore 15% of 126%, which leads to 107.1%.

This works regardless of order.
If you have 15% Defense Ignore, you ignore 15% of 180%, which leads to 153%.
If you have another 30% Defense Ignore, you ignore 30% of 153%, which leads to 107.1%.

What this means is that one large source of defense ignore is better than two smaller sources that have the same sum.

If you have 15% Defense Ignore, you ignore 15% of 180%, which leads to 153%.
If you have another 15% Defense Ignore, you ignore 15% of 153%, which leads to 130.05%.

Despite having a total of 30% Defense Ignore from two different sources, your total defense ignored is less than one source of 30% Defense Ignore, which leads to 126%.

Here are several samples:

 Spoiler

0.5% Ambition, 6% Deck, Luminous Link 1

0.5% Ambition, 6% Deck, Luminous Link 1

0.5% Ambition, 6% Deck, 15% Weapon

3% Ambition, 6% Deck, 15% Weapon

3% Ambition, 6% Deck

3% Ambition, 6% Deck

3% Ambition, 6% Deck, 15% Weapon

3% Ambition, 6% Deck

There appears to be some small discrepancies over how this tooltip is calculated. It appears to calculate 15% Ignore from Weapons to 14% gain for some reason when you have no ignore. Any combination of Ambition and Deck ignore does not account for the discrepancy, and make any other case work. Every other piece of equipment shows the correct number when naked. i.e. 150 gear's +10% and +5% gains show correctly to be that.

As an example, the 30%, 15%, 15% Shining Rod gives
1 - (1 - 0.3) * (1 - 0.15) * (1 - 0.15) = 0.49425 ignore
When I have a 15% Ignore Weapon equipped, 49.425 - 15 = 34.425 ~= 35%.

So there appears to be issues rounding to the exact digit on percentage. Thus, I believe it can be concluded that Ambition, Character Decks, and Skills do not affect the displayed Defense Ignore gain on equipment.


In any case, some extensive testing with a large amount of defense ignore (2.5%, 15%, 15%, 15%, 30%, 30%) showed it to be multiplicative, giving the result ~70.660178125% ignored.

 Reinforce Hyper Skills

As there appears to be some confusion over how these work, here is the order of operations:

Damage = (4 * Primary_Stat + Secondary_Stat) * Weapon_Multiplier * (Attack * (1 + Attack%)) * Skill% * (1 + Total_Damage% + Boss_Damage% + Reinforce_Damage%) * (1 + Critical_Damage%)

In the bolded section, if you reach the 2m~2m cap, you will no longer gain damage by increasing these. After the bolded damage, any increase to the italicized can still increase your damage up to the 50m damage cap.

A Reinforce Hyper Skill will act as if you had 20% extra Total Damage (like the Potential) when using that skill. It does not add an additional 20% damage per hit, nor does it multiply the damage by 1.2x It adds 20% Total Damage to the skill.

As such, we found a Luminous's Apocalypse does not go from 340% to 360%, or 340% to 340% * 1.2, but rather goes from 340% * (1 + total_damage) to 340% * (1 + total_damage + 0.20).

I believe only in the case of a DoT Reinforce does it add 20% damage to the skill's base %.

A big thanks to Rom from EllinForest for helping me test both of these out.