The reported speedups of Gaunt and matrix tensor products over the full Clebsch-Gordan tensor product come from reduced expressivity, and the only true per-expressivity speedup comes from fast spherical harmonic transforms.
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The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products
The reported speedups of Gaunt and matrix tensor products over the full Clebsch-Gordan tensor product come from reduced expressivity, and the only true per-expressivity speedup comes from fast spherical harmonic transforms.