'independently-run' originates from the combination of 'independent' and 'run', where 'independent' comes from Latin 'independens', meaning 'not dependent', and 'run' from Old English 'rinnan', meaning 'to flow'.

'independent' evolved from Middle English 'independente', and 'run' from Old English 'rinnan', eventually forming the modern English term 'independently-run'.

Initially, 'independent' meant 'not dependent', and 'run' meant 'to flow', but together they evolved to mean 'operated without external control'.