A system and method of compiling program code, wherein the program code includes an operation on an array of data elements stored in memory of a computer system. The program code is scanned for an equation which may have recurring data points. The equation is then replaced with vectorized machine executable code, wherein the machine executable code comprises a nested loop and wherein the nested loop comprises an exterior loop and a virtual interior loop. The exterior loop decomposes the equation into a plurality of loops of length N, wherein N is an integer greater than one. The virtual interior loop executes vector operations corresponding to the N length loop to form a result vector resident in memory, wherein the virtual interior loop includes a vector atomic memory operation (AMO) instruction.