The roll-call of artists who have benefited from the warm hug of a Carole Bayer Sager song is long and prestigious, spanning The Monkees to Celine Dion. She has an unrivaled ability to encapsulate the bruises of romance in a telling phrase or two, but her melodies—written with key collaborators like Burt Bacharach and Neil Simon—are always buoyant, and her outlook is often swooningly optimistic.