How the formula works
The calculator multiplies every active luck source together to produce Total Luck:
total_luck = base × rebirth × luck_boost × zone × server × index × (1 + permanent% / 100)
effective_odds = base_odds ÷ total_luck
rolls_per_hour = 3600 ÷ cooldown_seconds
hit_chance(t) = 1 − (1 − 1 / effective_odds)rolls_per_hour × t
Rebirth multiplier uses 1.82^level — verified at tier 17 (in-game ×26,370 vs
formula 26,425, 0.2% match). Auto Roll cooldown defaults to 0.94s, the in-game value with
max Roll Speed upgrade. See the luck breakdown for the additive vs
multiplicative split shown in-game.