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license: mit
pretty_name: Rubik's Cube Solver Benchmark (min2phase solution length)
language:
- en
tags:
- rubiks-cube
- kociemba
- two-phase
- min2phase
- solver
- benchmark
task_categories:
- other
size_categories:
- n<1K
configs:
- config_name: length_vs_scramble
data_files: data/rubik-benchmark.json
Rubik's Cube Solver Benchmark — min2phase Solution Length
By LK Forge: privacy-first browser tools & games, nothing to install, nothing uploaded.
Solution length and solve time for the LK Forge Rubik's Cube Solver, which uses the min2phase (Kociemba two-phase) algorithm. 200 seeded random scrambles per depth, solving the exact shipped module.
- Try it: https://lkforge.com/tools/rubik/
- Producer: LK Forge — client-side AI games, solvers, and tools.
Headline numbers (200 cubes each)
| Scramble depth (random turns) | Mean solution moves | Median | Max | Mean solve time |
|---|---|---|---|---|
| 10 | 12.4 | 10 | 21 | 0.10 ms |
| 15 | 19.2 | 20 | 21 | 0.29 ms |
| 20 | 20.4 | 21 | 21 | 0.50 ms |
| 25 | 20.5 | 21 | 21 | 0.56 ms |
| 30 | 20.5 | 21 | 21 | 0.47 ms |
| 40 | 20.5 | 21 | 21 | 0.46 ms |
Scrambling more does not make the cube harder to solve. Past ~20 random turns the cube is already effectively maximally scrambled, so the solution length plateaus at ~20.5 moves (this build caps solutions at 21 moves in the half-turn metric — consistent with God's Number = 20). Every solve completes in well under a millisecond in plain JavaScript.
Files
data/rubik-benchmark.json— per scramble depth: mean/median/max solution moves and mean solve time; plus one-time pruning-tableinitMs.
Method
- Engine: the shipped ES modules (
solver.js→ vendoredmin2phase.js,scramble.js,constants.js), imported and run unmodified. - Scrambles: seeded
randomScramble(depth)applied to the solved cube, then solved from the resulting facelet string. - Solution moves counted in the half-turn metric (HTM), as returned by the solver.
Reproduce
node scripts/benchmark-rubik.mjs
Citation
LK Forge (2026). Rubik's Cube Solver Benchmark — min2phase Solution Length. https://lkforge.com/tools/rubik/
Everything runs client-side, no login, no tracking.