Description of fast matrix multiplication algorithm: ⟨5×5×8:144⟩

Algorithm type

56 X^{2} Y^{2} Z^{2} + X^{3} Y Z + 2 X Y^{3} Z + 3 X Y^{2} Z^{2} + 2 X Y Z^{3} + 13 X^{2} Y Z + 24 X Y^{2} Z + 22 X Y Z^{2} + 21 X Y Z

Algorithm definition

The algorithm ⟨5×5×8:144⟩ is taken from:

Manuel Kauers and Issaac Wood. Exploring the meta flip graph for matrix multiplication. Technical Report 2510.19787, arXiv, October 2025. [ arXiv ]

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.

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