Formulas

Datamined Formulas

All results are floored (rounded down to nearest INT).
The constants included in the following formulas are subject to change.
All chance based results are clamped to lie between 0 <= CHANCE <= 100.
Some formulas have not been updated yet and as such should be taken with a grain of salt. (Currently updated: Crit chance, Accuracy, Ailment Chance)

HP = VIT * 4.7 + LVL * 7.4
PATK = STR * 2.1 + LVL * 5.6 + 50
MATK = MAG * 2.1 + LVL * 5.6 + 50
PDEF = VIT * 1.1 + STR * 0.5 + LVL * 5.6 + 50
MDEF = VIT * 1.1 + MAG * 0.5 + LVL * 5.6 + 50

DAMAGE FORMULA = (ATK * 1 - DEF * 0.5) * 0.4  * (SKILL POWER * (1 + % SKILL DAMAGE MODIFIERS FROM SKILL LEVELS) / 100) * (1 + % DAMAGE MODIFIERS) * (1 + TARUNDA/TARUKAJA - RAKUNDA/RAKUKAJA) * (CHARGE / CONCENTRATE: 2.25 or 2.75 w/ Templar Dragon) * (CRIT/WEAKNESS/RESIST)
10% variance in final damage. 
Critical hit multiplier is 1.5x
Weakness hit multiplier is 1.5x
Resistance hit multiplier is 0.7x

HEALING FORMULA = (MATK * (HEAL POWER * (1 + % HEALING MODIFIERS FROM SKILL LEVELS) / 100) * HEALING_CONST + MIN_HEAL_VAL) * RANDOM_HEA_VAR * (1 + % HEAL MODIFIERS)

-kaja/-kunda effects (applied at end of formula) 
Rakukaja: -0.17 = 0.83x damage taken
Tarunda: -0.2 = 0.8x damage taken
Rakukaja + Tarunda: -0.37 = 0.64x damage taken
Tarukaja: +1.2 = 1.2x damage dealt
Rakunda: +1.25 =  1.25x damage dealt
Tarukaja + Rakunda: 1.45 = 1.45x damage dealt

USER INFLICTION BOOST = AILMENT INFLICT PASSIVES + BRAND AILMENT INFLICT + AILMENT INFLICT FROM SKILL LEVELS + AILMENT INFLICT PANELS
ENEMY AILMENT RESISTS = AILMENT RESIST PASSIVES + BRAND AILMENT RESISTS + AILMENT RESISTS PANELS + Dx2 AILMENT RESISTS SKILLS + CURRENT AILMENT RESIST BUFFS
MINIMUM AILMENT CHANCE = floor(SKILL AILMENT RATE * 0.3)
AILMENT CHANCE = floor(SKILL AILMENT RATE + ((USER LUCK - ENEMY LUCK) * 0.3)) + USER INFLICTION BOOST - ENEMY AILMENT RESISTS
Some demons may have some innate ailment resistances (likely PvE only), modifying the above AILMENT CHANCE:
AILMENT CHANCE = floor(AILMENT CHANCE * ((100 - DEMON AILMENT RESISTS) / 100))
It will use the greater of either MINIMUM AILMENT CHANCE or AILMENT CHANCE to determine the chance of an ailment being successful.

TEMP ACCURACY = BASE SKILL ACCURACY * (FUNCTION1(USER AGI - ENEMY AGI) + FUNCTION2(USER LUCK - ENEMY LUCK)) * (1 * SUKUNDA/SUKUKAJA)
FINAL ACCURACY = TEMP ACCURACY + ACC BRANDS + ACC SKILLS - EVASION BRANDS - EVASION SKILLS 
MINIMUM ACCURACY = 100 * BASE SKILL ACCURACY * 0.2
There is a minimum hit chance, and it will take either MINIMUM ACCURACY or FINAL ACCURACY depending on what's higher.

LUCK DIFF = USER LUCK - ENEMY LUCK
CRIT LUK VALUE = 20 if LUCK DIFF >= 30, 
                 15 if LUCK DIFF >= 20, 
                 10 if LUCK DIFF >= 10,
                 0 if LUCK DIFF >= 0,
                 -10 if LUCK DIFF < 0
CRIT CHANCE = CRIT LUK VALUE + BASE SKILL CRIT CHANCE + PASSIVE SKILLS/PANEL CRIT CHANCE + CRIT BRANDS - ENEMY CRIT REDUC SKILLS/PANEL + Dx2 CRIT SKILL
BASE SKILL CRIT chance seems to be 0 or 10 on phys skills which don’t list their crit rate in their description

Counter Chance is rolled sequentially and separately, starting from the highest tier Counter first (Death Counter>Retaliate>Counter) regardless of slot order.

Party speed is calculated first at an individual demon level then at a party level.
INDIVIDUAL DEMON SPEED = (DEMON AGILITY + SKILL AGILITY + MITAMA AGILITY) * ((SKILL SPEED PERCENT + BRAND SPEED PERCENT + PANEL PERCENT) / 100)
PARTY SPEED TOTAL = INDIVIDUAL DEMON SPEED TOTAL / PARTY COUNT (It's an average)

Ailment Recovery Chance (WIP)

These values do not account for ailment recovery passives such as Fast Recovery and Epic Recovery, ailment panels and Dx2 ailment recovery modifiers.
Note: Curse and Weak recovery chances need verification

• Poison
  Turn 1	0%
  Turn 2	0%
  Turn 3	25%
  Turn >= 4	50%

• Bind
  Turn 1	25%
  Turn 2	50%
  Turn 3	70%
  Turn >=4	100%

• Charm
  Turn 1	25%
  Turn 2	50%
  Turn 3	70%
  Turn >=4	100%

• Mute
  Turn 1	0%
  Turn 2	15%
  Turn 3	50%
  Turn >=4	75%

• Curse
  Turn 1	0%
  Turn 2	0%
  Turn 3	0%
  Turn >=4	Recovered (100%)

• Weak
  Turn 1	0%
  Turn 2	0%
  Turn >=3	Recovered (100%)

More On Accuracy

Functions

As written above Accuracy uses some FUNCTION 1 and 2 which respectively takes the difference between the AGI and the difference between LUK. (Notation: DIFF_AGI and DIFF_LUK)

FUNCTION1(DIFF_AGI) is:

• 102 if DIFF_AGI >= 256
• 100 if DIFF_AGI >= 40
• 98 if DIFF_AGI >= 30
• 96 if DIFF_AGI >= 20
• 94 if DIFF_AGI >= 10
• 92 if DIFF_AGI >= 0
• 88 if DIFF_AGI >= -20
• 84 if DIFF_AGI >= -40
• 80 if DIFF_AGI >= -60
• 76 if DIFF_AGI >= -256

FUNCTION2(DIFF_LUK) is:

• 13 if DIFF_LUK >= 256
• 11 if DIFF_LUK >= 30
• 9 if DIFF_LUK >= 20
• 7 if DIFF_LUK >= 10
• 5 if DIFF_LUK >= 0
• 0 if DIFF_LUK >= -30
• -5 if DIFF_LUK >= -256

In a nutshell, every 10 AGI or LUCK points are worth 2% Accuracy/Evasion on average (i.e. 1 point = 0.2%). But we have some cap on AGI and LUCK impact on Accuracy. Beyond a difference of 30 LUCK points or 60 AGI points between the attacker and defender, you will not be getting better return.

And the base Accuracy when DIFF_LUCK and DIFF_AGI are near 0 is 88 to 97, depending if DIFF_LUCK/AGI >=0.

Base Skill Accuracy

As shown in the Formula, skills have base accuracy. Normal Attack is 1.0 base accuracy (i.e 100%).

NON-PHYS SKILLS WITH IRREGULAR ACC (non 0):

• Amakusa Uprising: 1
• Barbed Spear: 1.1
• Slaughter All: 1
• Third Eye: 1
• Vengeful Frost Fist: 1
• Sword of Actuation

PHYS SKILLS WITH IRREGULAR ACC (non 1):

• Lunge: 0.95
• Oni-Kagura: 0.95
• Mortal Jihad: 0.95
• Mow Down: 0.9
• Herculean Strike L: 0.9
• Herculean Strike: 0.9
• Hades Blast: 0.9
• Vorpal Blade: 0.9
• Gigantomachia: 0.9
• Earthquake: 0.9
• Heat Wave: 0.85
• Megaton Press: 0.85
• Titanomachia: 0.85
• Blight: 0.9
• Rampage: 0.9
• Deathbound: 0.9
• Madness Nails: 0.9
• Myriad Arrows: 0.9
• Nihil Claw: 0.9
• Tempest Slash: 0.9
• Violent Slash: 0.95
• Beloved Slash: 0.9
• Million Stab: 0.9
• Gungnir: 1.3
• Gomorrah (J): 0.9
• Hell Claw: 0.9
• Dradon Slayer: 0.9

Chain Effect/Passives:

• Enemy Annihilation: 0.9
• Heavenly Valor: 0.85
• Dragon Blade's chain effect: 1.0
• Terror of London: 0.9
• Yaksha Claw: 0.9
• Bloodshed: 0.9

Enemy Exclusive Skills (non 1 for phys or non 0 for elemental):

• Dragon Flare: 1
• End Realm: 1.5
• Mad Ice Sword: 1.1
• Maragidyne (Physical): 1
• Dragon Tooth: 0.8
• Megaton Press+: 1.1
• Mutilation: 1.2

Basically, phys skills get -10% accuracy for being AOE or Random Target and -5% for having increased crit rate (-15% if both). Unique skills do not necessarily follow this pattern (Ouas is 1 despite high crit, Gungnir is 1.3 etc.)

Verification

Experimental Data

Someone tried to experimentally determine the formula in March 2019 https://game-burio.hatenablog.com/entry/2019/03/01/014016

The formula he got are not very good, but he did publish the experiments: 6 of them

Each experiment is just 1 Brandless Demon using Normal Attack on another Brandless Demon 200 times, then calculating the Hit Rate in %. We can use the results and compare them with our own Formulas.

He does this for 6 different pairs of Demons.

Experiments

	USER AGI	ENEMY AGI	USER LUK	ENEMY LUK	DIFF AGI	DIFF LUK	FUNCTION1	FUNCTION2	EXPERIM(%)	THEORY(%)
EXP1	153	208	169	188	-55	-19	80	0	81	80
EXP2	152	208	132	188	-56	-56	80	-5	71	75
EXP3	61	208	166	188	-147	-22	76	0	75	76
EXP4	94	208	64	188	-114	-124	76	-5	65	71
EXP5	94	112	64	138	-18	-74	88	-5	80	83
EXP6	153	112	132	138	41	-6	100	0	100	100

Analysis

Related to the experiments. (Take into account that the Standard Deviation should be about 2% to 3%.) We can see whenever DIFF LUK is very low our prediction is too high by quite a large margin (EXP2, EXP4 and EXP5).

It may only be some statistical error. Either way if you ever do some experiments to test the different hypothesis, please feel free to post them on this wiki, on the sub-reddit or on the Dx2 Discord.