Described is a method for performing parallel operations in a computer system when one or more conditional dependencies may be present, where a given conditional dependency includes a dependency associated with at least two data elements based on a pair of conditions. During operation, a processor receives instructions for generating a vector of tracked positions of actual dependencies, where a given tracked position indicates the position of a given actual dependency, and where the given actual dependency occurs when the pair of condition matches one or more criteria. Then, the processor executes the instructions for generating the vector of tracked positions.