Method, apparatus and system embodiments to schedule user-level OS-independent “shreds” without intervention of an operating system. For at least one embodiment, the shred is scheduled for execution by a scheduler routine rather than the operating system. The scheduler routine resides in user space and may be part of a runtime library. The library may also include monitoring logic that monitors execution of a shredded program and provides scheduling hints, based on shred dependence information, to the scheduler. In addition, the scheduler may further optimize shred scheduling by taking into account information about a system's configuration of thread execution hardware. Other embodiments are also described and claimed.