| --- |
| 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](https://lkforge.com)**: privacy-first browser tools & games, nothing to install, nothing uploaded. |
|
|
| Solution length and solve time for the [LK Forge Rubik's Cube Solver](https://lkforge.com/tools/rubik/), |
| 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](https://lkforge.com) — 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-table `initMs`. |
|
|
| ## Method |
|
|
| - **Engine:** the shipped ES modules (`solver.js` → vendored `min2phase.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 |
|
|
| ```bash |
| 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. |
|
|
