'smoothly-run' is a compound word formed from 'smoothly' and 'run'. 'Smoothly' originates from the Old English 'smōð', meaning 'even or level', and 'run' comes from the Old English 'rinnan', meaning 'to flow or move swiftly'.

'Smoothly' and 'run' were combined in modern English to describe operations or processes that function without issues.

Initially, 'smoothly' meant 'evenly or without roughness', and 'run' meant 'to move swiftly'. Together, they evolved to describe efficient operations.