Mudae Statistics
Statistics for various spheres and kakera mechanics based on empirical observations - these values shouldn't be treated as authoritative (I'm just one random person with a bunch of data), but confidence grows with larger sample sizes.
Want a stat you don't see here? Contact colblitz on Discord.
Display settings
Sphere bonus inputs transform the values across this page live.
Per sphere: value × (1 + double) + flat. Applied to the sphere value table, solver EV, megasphere average, perk-9 average and dark/light means.
Sphere values
Base sphere point values used for the score computations on this page, with your bonus-adjusted values.
spD and spL values are empirical averages, see individual sections. Dark sphere average value depends on if it's from perk 9 or a sphere game.
Theoretical solver EV
Expected SP earned per game using colblitz's solvers.
Dark spheres
Light spheres
Harvest
Button color rates from end states of observed games.
Chest
spR red-cell location across observed boards — uniform across the 24 non-center cells, red is never placed on the center cell.
Quest
Rate of 
spW (rainbow) versus spR (red) cell in quest boards.
Boards containing neither spR nor spW are excluded.
Trace
Color mode distribution and rare ship color combinations by mode (
spO is always present and excluded from combinations, 9-color boards always contain every rare color).
Megasphere
Component sphere distribution, 
spU rate, special rewards, and the average value per megasphere (components do not receive double/flat bonuses).
Perk 9 spheres
Spawn distribution of perk 9 sphere buttons on character rolls, the average SP per spawn, and the rate at which clicks fire the perk-9 $oq bonus.
Kakera reacts
A settings-driven model of the base kakera react spawn distribution.
These settings transform the modeled distribution below.
Chaos kakera
Reward distribution for chaos kakera reacts. Every click gives kakera and spheres, and other rewards are independent chances.