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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](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.
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