Grace or favor
Analyse is a modern creative spelling of Annalise, which combines the Hebrew Anna (grace) and the German Liese (pledged to God). It is often chosen by parents who want a unique, phonetic variation of the traditional German name. In English-speaking contexts, it is sometimes mistaken for the verb 'analyze', leading to its rarity.
Less common today
Analyse isn't in the latest US Top 1000. It last peaked at #3,629 in 2005.
US births per 5-year period, 1990βpresent (SSA data).