Matrix chain multiplication can be seen a special case of tensor contraction, and the https://github.com/Jutho/TensorOperations.jl https://github.com/Jutho/Tens

Matrix chain multiplication can be seen a special case of tensor contraction, and the https://github.com/Jutho/TensorOperations.jl https://github.com/Jutho/TensorOperations.jl package has an implementation which tries to optimize the contraction order (macro @tensoropt).