In my vision, there could be a vendor-neutral library that implements higher level MLIR dialect operators in lower (algebraic) level. There could be a graph optimizer, a tensor optimizer and a traditional compiler optimizer. Graph optimizer does higher level graph optimizations like fusion as well as serves as a driver. It partitions graph, inlines operators from the vendor-neutral library and directs selected partitions to the tensor optimizer. It also invokes traditional compilers for traditional global optimizations. It should also accommodate vendor-specific libraries by keeping them as intrinsics to be lowered into function/kernel calls. Tensor compiler will not see the dialects.
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