Your request was soal which is probably a typo from soar.
soal -
Traditional English :: soar
soal - v.intr. 1 fly or rise high. 2 reach a high level or standard (prices soared). 3 maintain height in the air without flapping the wings or using power.
soarer n. soaringly adv. [ME f. OF essorer ult. f. L (as EX-(1), aura breeze)]