To-and-fro and Up and down

Up and down and to-and-fro are semantically related. In some cases you can use "Up and down" instead the phrase "To-and-fro" as an adjective or an adverb.

Up and down adverb - Moving backward and forward along a given course.

To-and-fro and up and down are semantically related. Sometimes you can replace phrase "To-and-fro" with "Up and down", this phrases are similar.