1560s, "to leap up;" 1590s, "to rejoice, triumph," from Middle French exulter, from Latin exultare/exsultare "rejoice exceedingly, revel, vaunt, boast;" literally "leap about, leap up," frequentative of exsilire "to leap up," from ex "out" (see ex-) + salire "to leap" (see salient (adj.)). The notion is of leaping or dancing for joy. Related: Exulted; exulting.