✨ Trait Reroll Calculator
Calculate expected reroll attempts, gem costs, and pity thresholds. Includes 277 Astral and 125 Fortune pity.
Input
+20% Affliction Duration, -20% Cooldown, +50% Range, DOT Stacking
Extremely powerful DOT trait. Core mechanic: DOT damage stacks infinitely instead of refreshing duration. Guaranteed at 277 rerolls. Works exceptionally well with Ace/Kyito.
📊 Results
Percentile Thresholds
Daily Reroll Ticket Farming
Maximum reroll tickets from Featured Challenge farming per day. Farm Featured Challenge daily to maximize reroll progress.
Best late-game source
One-time per level
Check our codes page
Expensive, not recommended
Double Trait Warning
Double traits (e.g., "Double Duelist") exist but are extremely rare. The probability is roughly p² (probability squared), making it nearly impossible to target. Don't plan builds around getting double traits.
❓ How to Use the Trait Reroll Simulator
- Select Target Trait: Choose the specific trait you are aiming for (e.g., Mythic - Sniper) from the dropdown menu.
- Check Probabilities: The tool automatically loads the official probability, or you can enter a custom chance if testing hypothetical scenarios.
- Review Results: The calculator displays the expected number of Reroll Tickets or Gems needed to hit your target.
- Understand Pity: Look for the "Pity Guarantee" section to see if your trait has a hard cap (e.g., Astral at 277).
Formula & Pity System
This calculator uses the Geometric Distribution with pity adjustments:
- Expected Value (E): E = 1/p, where p is the probability
- Percentile (k attempts for X% chance): k = ⌈log(1-X) / log(1-p)⌉
- Pity System: Astral guaranteed at 277, Fortunate at 125
Assumptions: Each reroll is independent, probabilities are accurate, pity counter resets on trait acquisition.
📋 All Traits Reference
| Trait | Rarity | Probability | Expected | Pity | Effect |
|---|---|---|---|---|---|
Astral | Mythic | 0.36% | 278 | 277 | +20% Affliction Duration, -20% Cooldown, +50% Range, DOT Stacking |
Ruler | Mythic | 0.10% | 1,000 | - | +100% Damage, One Placement |
Duelist | Legendary | 0.80% | 125 | - | +25% Crit Chance, +15% Range, +20% Boss Damage |
Sacred | Legendary | 0.30% | 333 | - | +75% Damage |
Scarred | Legendary | 0.30% | 333 | - | +25% Damage, -15% Cooldown, +25% Range |
Wizard | Epic | 2.00% | 50 | - | +35% Damage, +15% Range |
Fortunate | Epic | 2.00% | 50 | 125 | +30% Damage, +20% Coin Bonus |
Prodigy | Epic | 2.00% | 50 | - | +XP Bonus |
Agile | Rare | 5.00% | 20 | - | +Movement Speed, +Attack Speed |
Swift | Rare | 5.00% | 20 | - | +40% Attack Speed |
Mighty | Rare | 5.00% | 20 | - | +25% Damage |
Sturdy | Rare | 5.00% | 20 | - | +50% Health |
Keen | Common | 10.00% | 10 | - | +15% Damage, +10% Range |