ECE method
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Method Overview
This method has been independently invented by at least 3 people, but the person that has developed it the most, crafto22, is the official inventor of this method. The method is one of the most move-efficient method to ever have a sub-10 second solve (~45 STM, depending on the variant) This method is more move-efficient than Roux and has fewer algorithms to learn than CFOP (full ECE has ~50 algorithms, full CFOP at least 78).
The Steps
- Solve 3 E-slice edges while orienting 3 corners on the D-layer(It doesn't matter if U and D corners are mixed; just that they are oriented).
- Insert the final E-slice edge while orienting the U-layer corners. There are a few ways to do this:
- create a psuedo-F2L pair with the final e-slice edge and any corner and then either A) Insert it and then use OCLL algorithms to orient the U-layer corners, or B) Insert the pair using a F2LL-type algorithm set Winter Variation, or SLS (Shadowslice Last Slot)
- Solve the final E-slice Edge without caring about orientation or the corner and then CLS algorithms (you only need to learn the I-category algorithms, totaling 14 algorithms, 7 mirrors)
- Use modified Square-1 algorithms to solve all the corners
- Separate the corners into their respective layers
- permute all the corners
- Insert D-layer Edges while orienting the remaining edges
- EPLL
Pros
- Extremely low movecount (similar to Hawaiian Kociemba) but can still be fast
- Low algorithm count compared to more popular speedsolving methods

