The phrase "running mad" can be easily replaced with a variety of synonyms, depending on the context of use. Some alternatives include going berserk, losing one's mind, flipping out, going crazy, losing control, getting wild, going insane, and going haywire. These phrases can be useful in describing a variety of situations, from a sudden outburst of anger to an overwhelming sense of excitement. It's important to choose the right synonym based on the specific context and emotions being conveyed. Regardless of the chosen wording, these phrases effectively communicate a sense of urgency and unbridled emotion that can be both captivating and unsettling.