The best replacement for productive is allocative efficiency.

The best alternatives to productive are rated as following:
★★★★★  allocative efficiency
★★★★  unproductive cough
★★★★  nonproductive cough
★★★  non productive cough
★★★  busy
★★  efficient
★  unproductive
★  constructive
  just busy
  less productive
  non productive
  dry cough

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Google Trends

Scale is based on the average worldwide traffic of productive in all years. Click on graph for more.
productive
allocative efficiency
unproductive cough