Items and forge: stats, value and costs

Item power

The stats shown on an item page are its base values (rank E, Common, +0). The real value is the base times the item power:

$\mathrm{power} = \mathrm{rarity} \times \left(1 + 0.6\,(\mathrm{rank}-1)\right) \times \left(1 + 0.08\,\mathrm{forge}\right)$

rank is the tier of the item (E = 1, D = 2, C = 3, B = 4, A = 5, S = 6, S+ = 7, Nation = 8) and forge its forge level.

• Attack, HP and stat bonuses: base × power (rounded).
• Damage reduction: base × rarity × (1 + 0.15 × (rank − 1)) × (1 + 0.03 × forge).
• Critical chance: base × rarity × (1 + 0.03 × forge).
• Bonus stats (affixes): 1 to 3 times the rank each.

Item value

$\mathrm{value} = \left\lfloor \mathrm{base} \times \mathrm{rarity\ value} \times \mathrm{rank} \times (1 + 0.3\,\mathrm{forge}) \right\rfloor$

Forge costs

Upgrading to level $n+1$ costs:

$\mathrm{cost} = \left\lfloor 10 \times \mathrm{rank} \times (n+1)^{1.35} \times \mathrm{rarity\ value} \right\rfloor$ shards

An upgrade never fails. The maximum is +10 (+25 for S-grade weapons, +30 for EX and SP).

• Grade climb (needs +10): $\mathrm{round}_{100}\!\left(300 \times 2.2^{\mathrm{grade}} \times 1.6^{\mathrm{climbed}} \times \mathrm{rank}\right)$ shards; the forge level goes back to +0.
• Reforge: $\lfloor 2.5 \times \mathrm{value\ at\ +0} \rfloor$ shards. Odds of the new bonuses: reforge table.