'irregularly-formed' originates from the combination of 'irregularly' and 'formed'. 'Irregularly' comes from 'irregular', which is derived from Latin 'irregularis', where 'in-' meant 'not' and 'regularis' meant 'rule'. 'Formed' comes from Latin 'formare', meaning 'to shape'.

'Irregularis' transformed into the Old French word 'irregulier', and eventually became the modern English word 'irregular'. 'Formare' evolved into the Old French 'former', leading to the modern English 'form'.

Initially, 'irregular' meant 'not following a rule', and 'form' meant 'to shape'. Together, they describe something shaped without regularity.