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The two optimized einsum handlers use the left input's batch size, which undercounts FLOPs when that dimension broadcasts. For example, a batch of four is reported as 30 FLOPs instead of 120.
This uses the traced output batch size and adds broadcast and empty-batch regressions. The Python suite passes with CUDA tests skipped. Existing repository-wide lint failures reproduce on the base branch; the changed code passes its checks.
Prepared with AI assistance.