The phrase "running on" is commonly used in a variety of contexts, ranging from the physical act of running to describing the state of a machine or system. If you're looking for synonyms to use in place of "running on," there are several options to consider depending on the context. For physical activity, synonyms like jogging, sprinting, and racing could be used. When referring to a machine or system, synonyms like functioning, operating, and working are appropriate. Other options might include phrases like "continuously moving," "energetically advancing," or "steadily progressing." Remember that context is key when selecting the best synonym for your needs.