In dynamically multithreaded platforms that employ work stealing, there appears to be a fundamental tradeoff between providing provably good time and space bounds and supporting SP-reciprocity, the property of allowing arbitrary calling between parallel and serial code, including legacy serial binaries. Many known dynamically multithreaded platforms either fail to support SP-reciprocity or sacrifice on the provable time and space bounds that an efficient work-stealing scheduler could otherwise guarantee. We describe PR-Cilk, a design of a runtime system that supports SP-reciprocity in Cilk and provides provable bounds on time and space. In order to maintain the space bound, PR-Cilk uses subtreerestricted work stealing. We show that with subtree-restricted work stealing, PR-Cilk provides the same guarantee on stack space usage as ordinary Cilk. The completion time guaranteed by PR-Cilk is slightly worse than ordinary Cilk. Nevertheless, if the number of times a C function calls a Cil...