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Capture Rate Calculator

Pal, level, HP, status β†’ capture chance per sphere (community formula)

Inputs

Status effects Β· trap
Capture level bonus
Applies the community reading that a back hit skips the first shake check. Not confirmed, so it is off by default.

Capture chance by sphere

SphereCapture Lv (gap)Per throwFor 90%

β€œFor 90%” is how many spheres you need, throwing under the same conditions, for a 90% chance of at least one catch. The % shown on the in-game reticle can differ from these values.

Formula & sources

Community formula

The game’s capture code is not public. Below is the formula worked out by the community; game values come from the v1.0.5 data.

  1. L = sphere capture level + statue rankΓ—0.5 + module/partner bonus βˆ’ target level (Lucky: level βˆ’5, min 1)
  2. n = clamp((L + 50) / 99, 0, 1) β€” zero at a level gap of βˆ’50 or less
  3. A = 1.3βˆ’HP ratio Γ— n
  4. Pβ‚€ = A < 0.5 ? 256Β·A⁹ : 1 βˆ’ (2 βˆ’ 2A)⁹ / 2
  5. P = Pβ‚€ Γ— (1 + status bonus sum) Γ— Pal capture mod Γ— world rate (clamped to 0–100%)

The catch is judged in 3 shakes, passing with P^0.444, P^0.333, P^0.222 (exponents sum to 1, so passing all three = P). The back-hit estimate skips the first shake: P^0.556.

Values from game data

  • Sphere capture level: Pal Sphere 7, Mega Sphere 14, Giga Sphere 20, Hyper Sphere 27, Ultra Sphere 33, Legendary Sphere 38, Ultimate Sphere 44, Exotic Sphere 50, Sol Sphere 58, Ancient Sphere 64
  • Status bonus: Poison +0.3, Burn +0.3, Soak +0.3, Freeze +0.3, Electrify +0.3, Muddy +0.3, Ivy-Covered +0.3, Blind +0.3, Comatose +0.35, trap +0.5
  • Shake exponents: [0.444444, 0.333333, 0.222222] Β· Statue of Power capture: 15 ranks Β· sphere modules +1/+2/+3 Β· partner skills +1~+5
  • Pal capture mod: Γ—0.8 (1 Pal), Γ—0.9 (4 Pals), Γ—1 (274 Pals), Γ—1.1 (12 Pals), Γ—1.2 (1 Pal), Γ—1.3 (5 Pals), Γ—1.5 (3 Pals). Alpha/boss versions are Γ—0.7 of the normal value. Also shown on each Pal page.

Community-derived parts

The Β±50 level-gap window and Γ·99, the 1.3^(βˆ’HP) term, the 9th-power curve, +0.5 capture level per statue rank, the Lucky βˆ’5 levels and the back-hit reading are not visible in game data, so they follow community analysis.

Check: Lamball Lv.2, Pal Sphere (capture Lv 7), full HP, capture mod Γ—1.5 β†’ 18.26% (shakes 46.96% / 56.73% / 68.53%). This matches the in-game values a community member logged with a debugging mod.

Unconfirmed factors such as weak-spot hits or the reticle display conversion are not included. Game updates may change the formula.