Operation Reordering

Operation reordering is the scheduling transformation that changes execution order of independent operations to improve performance - reordering can reduce critical-path length, improve memory locality, and lower peak resource pressure.

What Is Operation reordering?

  • Definition: Compiler or runtime rearrangement of semantically independent operations.
  • Goals: Increase parallelism, reduce stalls, and minimize temporary tensor lifetime overlap.
  • Constraints: Only legal when data dependencies and side effects are preserved.
  • Effect: Can improve throughput and memory behavior without altering model outputs.

Why Operation reordering Matters

  • Critical Path Reduction: Prioritizing unlock-heavy operations can shorten overall step time.
  • Memory Peak Control: Smart ordering avoids simultaneous allocation of large intermediates.
  • Parallelism Exposure: Independent ops can be moved to increase overlap opportunities.
  • Backend Efficiency: Reordered graphs may map better to hardware scheduling behavior.
  • Compiler Leverage: Creates opportunities for further fusion and elimination passes.

How It Is Used in Practice

  • Dependency Graphing: Build precise data dependency graph before applying reorder transformations.
  • Heuristic Selection: Choose objective such as latency minimization or memory-peak minimization.
  • Validation: Run numerical checks and benchmark to confirm expected improvement.

Operation reordering is a high-impact graph scheduling optimization - legal dependency-aware rearrangement can materially improve runtime and memory efficiency.

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