Finding synonyms for "he laughed like mad" requires an understanding of the meaning conveyed by this phrase. It suggests that the person's laughter was excessive, perhaps even uncontrollable, and possibly with a touch of madness. A few alternative expressions could include "he cackled maniacally," "he chortled hysterically," or "he guffawed wildly." Each of these synonyms emphasizes the idea of unrestrained, almost insane laughter. Other options might include "he chuckled heartily," "he snickered mischievously," or "he giggled uncontrollably," which convey different nuances of laughter but still suggest a lack of control or a sense of joyous abandon.