Trickle down economics is just another name for supply-side economics. They're one and the same. The difference is that the name "supply side economics" focuses on the the beneficiaries while the name "trickle down economics" focuses on the results.

Supply side economics owners claimed that benefits would "flow" down from the capital owners. The pejorative name "trickle-down economics" accurately reflects that the quantity of benefits that "flows" down to everyone else from those benefiting from massive tax cuts is a mere trickle of the money that the supply side saved from the tax cuts.