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Roll Anime to Fight Merge Math: Duplicate Costs and Power Curve

Understand binary merge material growth, the community's Level 2 and Level 3 anchors, and how to use the Merge Planner without overstating estimates.

Last verified
8/2/2026
Updated
8/2/2026
Sources
2

Merge math in Roll Anime to Fight follows a binary tree. To take a Common or higher fighter to merge level L you need 2^(L-1) base units in the same tier. The Merge Planner surfaces that total, the additional units beyond the starting one, and an illustrative damage and HP multiplier for the level.

Levels and base units

Level Base units Additional units Damage multiplier HP multiplier
1 1 0 1.00 1.00
2 2 1 1.20 1.10
3 4 3 1.45 1.26
4 8 7 1.75 1.48
5 16 15 2.10 1.76
6 32 31 2.50 2.10
7 64 63 2.95 2.50
8 128 127 3.45 2.96
9 256 255 4.00 3.48
10 512 511 4.60 4.06

The Level 2 (+20% damage, +10% health) and Level 3 (+45% damage, +25% health) anchors come from the independent community merge guide. The damage curve 1 + 0.20(L-1) + 0.05(L-1)^2 and HP curve 1 + 0.10(L-1) + 0.03(L-1)^2 are a transparent least-squares fit to those two points with monotone extrapolation. The Merge Planner surfaces the resulting values for any level between 1 and 10.

Anime fighters rarity ladder infographic
Anime fighters rarity ladder infographic compiled from the community tier listFan wiki rarity ladder reference · checked 2026-08-02

Soft cap and roster capacity

Level 10 is the configured soft cap. Going beyond it is a player-entered scenario; the planner returns the additional unit cost without warning that the in-client UI stops here. The roster capacity input flags an overflow with “Need N slots; roster capacity is R” so the player can decide whether to upgrade the backpack before pursuing a high merge level.

Rolls to fund the duplicates

The Merge Planner accepts a target rarity probability and reports expected rolls as additional_units / p. A zero probability intentionally reports an unknown expectation rather than dividing by zero. Use this as a planning mean, not a guarantee. The 95% confidence interval can be derived from the variance duplicates × (1 - p) / p^2 if you need a tighter band.

Tri-merge toggle

A tri-merge toggle uses 3^(L-1) instead of 2^(L-1). The planner will not claim that the live client currently supports tri-merge; the toggle exists so a player can model a hypothetical scenario without re-writing the formula.

FAQ

  • How many base units for Level 4? Eight. Level 10 needs 512 base units.
  • Does the merge planner cover tri-merge? Yes, via the toggle.
  • Are the level 2 and 3 numbers official? They are community-reported anchors; the polynomial is an extrapolation.

Frequently asked questions

How many base units do I need for Level 4?

Eight for the standard binary merge (2^(4-1) = 8). Level 5 needs 16 and Level 10 needs 512.

Does the merge planner cover tri-merge?

Yes. The tri-merge toggle uses 3^(L-1) instead of 2^(L-1) and warns if the unit is not flagged for tri-merge in your scenario.

Are the level 2 and level 3 numbers official?

They are community-reported anchors from the independent merge guide. The Merge Planner fits a polynomial to those anchors and labels the extrapolation as a community estimate.

Sources

  1. Roll Anime to Fight fan wiki merge guidecommunity · Checked 8/2/2026
  2. Rock Paper Shotgun Roll Anime to Fight featurecommunity · Checked 8/2/2026