'irregularly' originates from Latin, specifically the word 'irregularis,' where 'ir-' meant 'not' and 'regularis' meant 'according to rule.' 'Dismissed' originates from Latin, specifically the word 'dimittere,' where 'dis-' meant 'apart' and 'mittere' meant 'send.'

'irregularis' transformed into the Old French word 'irregulier,' and eventually became the modern English word 'irregular.' 'Dimittere' transformed into the Old French word 'desmettre,' and eventually became the modern English word 'dismiss.'

Initially, 'irregular' meant 'not according to rule,' and 'dismiss' meant 'to send away.' Over time, 'irregularly-dismissed' evolved to describe a dismissal that is not consistent or regular.