# Algorithm type

$13{X}^{2}{Y}^{2}{Z}^{2}+3{X}^{3}YZ+{X}^{2}{Y}^{2}Z+2X{Y}^{3}Z+2X{Y}^{2}{Z}^{2}+4XY{Z}^{3}+3{X}^{2}YZ+8X{Y}^{2}Z+6XY{Z}^{2}+5XYZ$

# Algorithm definition

The algorithm ⟨3×4×5:47⟩ is taken from:

 Alhussein Fawzi, Matej Balog, Aja Huang, Thomas Hubert, Bernardino Romera-Paredes, Mohammadamin Barekatain, Alexander Novikov, Francisco J.R. Ruiz, Julian Schrittwieser, Grzegorz Swirszcz, David Silver, Demis Hassabis, and Pushmeet Kohli. Discovering faster matrix multiplication algorithms with reinforcement learning. Nature, 610(7930):47--53, October 2022. [ DOI | http ]

# Algorithm description

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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