The phrase "casual eye" is commonly used to refer to a nonchalant or cursory glance. However, there are several other synonyms that can be used to describe the act of taking a quick or relaxed look. These include "glance," "peek," "glimpse," "peekaboo," "brief look," "quick scan," "fleeting gaze," "passing glance," and "sidelong glance." Each of these terms conveys a slightly different meaning and connotation, and can be used in different situations depending on the context. By expanding one's vocabulary to include a range of synonyms for "casual eye," one can add depth and nuance to their communication and writing.