'bile-free' is a compound word formed from 'bile' and 'free'. 'Bile' originates from Latin 'bilis', meaning 'bile' or 'bitterness'.

'bile' from Latin 'bilis' was combined with 'free' to form the modern English adjective 'bile-free'.

Initially, 'bile' referred to a bodily fluid, but it evolved to also mean 'bitterness', leading to the modern usage of 'bile-free' as 'free from bitterness'.