Code generation for complex arithmetic reduction for architectures lacking cross data-path support

A computer implemented method, apparatus, and computer usable program code for compiling source code for performing a complex operation followed by a complex reduction operation. A method is determined for generating executable code for performing the complex operation and the complex reduction operation. Executable code is generated for computing sub-products, reducing the sub-products to intermediate results, and summing the intermediate results to generate a final result in response to a determination that a reduced single instruction multiple data method is appropriate.