script me

Rules:
() + () = ()()                                      => [combine]
((())) + () = ((())())                              => [absorb-right]
() + ((())) = (()(()))                              => [absorb-left]
(())(()) + () = (())(()())                          => [combined-absorb-right]
() + (())(()) = (()())(())                          => [combined-absorb-left]
(())(()) + ((())) = ((())(())(()))                  => [absorb-combined-right]
((())) + (())(()) = ((())(())(()))                  => [absorb-combined-left]
() + (()) + ((())) = (()()) + ((())) = ((()())(())) => [left-associative]

Example:
(()) + () = () + (()) = (()())