gemm

Follow operand tiles into a matrix-multiply-accumulate instruction. Explain why odd dimensions and low tensor activity do not prove a fallback.

Derive how reusing weights changes arithmetic intensity, then separate the roofline ceiling from tile-wave effects and measured GEMM throughput.

Follow an accumulator across K tiles, count reuse at each memory level, and decide whether a tile improves measured GEMM performance.

Derive the ideal gain from filling a partial wave, then account for partial outputs, reduction order, workspace and the epilogue before selecting split-K.