Abstract: As disclosed herein a method, executed by a computer, for conducting non-recursive cascading reduction includes receiving a collection of floating point values, using a binary representation of an index corresponding to a value being processed to determine a reduction depth for elements on a stack to be accumulated, and according to the reduction depth, iteratively conducting a reduction operation on the current value and one or more values on the stack. In addition to accumulation, the reduction operation may include transforming the value with a corresponding function. The method may also include using a SIMD processing environment to further increase the performance of the method. The method provides results with both high performance and accuracy. A computer system and computer program product corresponding to the method are also disclosed herein.

Abstract: As disclosed herein a method, executed by a computer, for conducting non-recursive cascading reduction includes receiving a collection of floating point values, using a binary representation of an index corresponding to a value being processed to determine a reduction depth for elements on a stack to be accumulated, and according to the reduction depth, iteratively conducting a reduction operation on the current value and one or more values on the stack. In addition to accumulation, the reduction operation may include transforming the value with a corresponding function. The method may also include using a SIMD processing environment to further increase the performance of the method. The method provides results with both high performance and accuracy. A computer system and computer program product corresponding to the method are also disclosed herein.