'irregularly-mixed' originates from the combination of 'irregularly' and 'mixed'. 'Irregularly' comes from 'irregular', which is derived from Latin 'irregularis', where 'in-' meant 'not' and 'regularis' meant 'according to rule'. 'Mixed' comes from the verb 'mix', which originates from Latin 'miscere', meaning 'to mix'.

'Irregularly' changed from the Latin 'irregularis' to the Old French 'irregulier', and eventually became the modern English word 'irregular'. 'Mixed' evolved from the Latin 'miscere' to the Old English 'mixen', and eventually became the modern English word 'mix'.

Initially, 'irregularly' meant 'not according to rule', and 'mixed' meant 'to combine'. Over time, 'irregularly-mixed' evolved to mean 'composed of elements that are not uniformly distributed'.