Feeling the need to take the same route every day is an example of:

The behavior of feeling the need to take the same route every day exemplifies insistence on sameness. This concept refers to a preference for routines and consistency in one's environment. Individuals who demonstrate insistence on sameness often show distress or discomfort when faced with changes in their daily patterns, routines, or surroundings. This can manifest in various ways, such as insisting on a particular route, a specific time for activities, or maintaining a certain way of doing things.

Insistence on sameness is commonly observed in individuals with autism spectrum disorders, as they may find comfort and security in predictable routines. The rigidity in their routines provides a sense of control and helps reduce anxiety about the unknown.

The other options do not fit this description as closely. Highly restricted interests may indicate a strong focus on a particular topic or hobby, but they do not necessarily involve routines. Stereotyped or repetitive behaviors often include physical movements or vocalizations rather than adherence to environmental routines. Hyper or hyporeactivity refers to unusual responses to sensory stimuli, which is not relevant to the context of consistently taking the same route. Thus, insistence on sameness is the most accurate characterization of the behavior described in the question.