Memory management of soft references

A garbage collector determines a target amount of heap space to deallocate, estimates an amount of heap space reachable by a plurality of soft references by determining a cumulative size of no more than an exploration bound N number of objects reachable from each soft reference, and deallocates heap space based on the target amount and the estimate of the heap space reachable from the soft references. Deallocating heap space may include clearing at least one soft reference. If the estimate is inaccurate, it may be utilized regardless or modified to account for inaccuracy. The least-recently-used or the largest soft reference may be cleared until the total cleared space reachable exceeds the target amount. By performing a bounded analysis, the garbage collector may be able to make a more informed decision about whether to clear a soft reference without consuming the full amount of resources consumed by an exhaustive analysis.