From: Canine Freestyle Federation Inc: (http://www.canine-freestyle.org/)
Canine Freestyle [Obérythmée en français] is a choreographed performance organized with music, illustrating the training and joyful relationship of a dog and handler team. Freestyle is an excellent discipline to illustrate the conformation and movement of the dog. The reach, drive and beauty of an athletic, trained dog moving to music can take one’s breath away.
Here's one of the better performances: