Divine Relic Reroll Calculator

Each relic has a 1 / 25,000 divine chance. One reroll affects all relics and costs 200 gems.

Number of relics owned

Option 1, solves for Gem cost

Bought divine relics

Target divine rolls wanted

Option 2, solves for expected number of divine relics

Desired gems to spend

Desired success chance (%)

Main Results

Solved target divine rolls-

Budget rerolls (full rerolls)-

Chance of target or more-

Equivalent odds-

Effective target rate (Relics / Target)-

Expected rerolls-

Expected gem cost-

Distribution Reference

Expected divine rolls (mean)-

+1 Std.Dev-

+2 Std.Dev-

+3 Std.Dev-

Std. deviation-

Band Probabilities (One Full Reroll)

Prob of +1 deviation-

Prob between +1 and +2 deviations-

Prob between +2 and +3 deviations-

Prob of +3 or more deviations-

Note: In Option 1, standard-deviation bands are based on one full reroll. In Option 2, they are based on the total across all budgeted rerolls. Bought divine relics are included in Option 1 and ignored in Option 2.

In Option 2, bought divine relics are ignored and the solved target is based only on relic count plus gem budget.

One-tailed normal reference: P(Z > 1 std. dev.) about 15.87%, P(Z > 2 std. dev.) about 2.28%, and P(Z > 3 std. dev.) about 0.13%.

How to Read This Calculator

Enter your total relics, then choose one mode. The calculator updates instantly and uses one full reroll = 200 gems.

Option 1 (solves for gem cost): Enter bought divine relics and a target number of divine rolls. Bought divines are guaranteed and are added to the reroll outcome when calculating target chance, expected rerolls, and expected cost.

Option 2 (solves for target): Enter gem budget and desired success chance. The tool finds the highest integer target that meets that cumulative success chance across your budgeted rerolls. Bought divine relics are ignored in this mode.

First column: Mode-specific planning stats. In Option 2, "total probability of hitting target" is cumulative across budgeted rerolls, while "probability for each roll" is the single-reroll chance for that solved target.

Second column: Distribution reference (mean and +1/+2/+3 standard-deviation markers). This describes the outcome spread used by the probability bands.

Third column: Deviation-band probabilities. In Option 1 these are for one reroll; in Option 2 they are for total outcomes across all budgeted rerolls.