We present a variation-tolerant tasking technique for tightlycoupled shared memory processor clusters that relies upon modeling advance across the hardware/software interface. This is implemented as an extension to the OpenMP 3.0 tasking programming model. Using the notion of Task-Level Vulnerability (TLV) proposed here, we capture dynamic variations caused by circuitlevel variability as a high-level software knowledge. This is accomplished through a variation-aware hardware/software codesign where: (i) Hardware features variability monitors in conjunction with online per-core characterization of TLV metadata; (ii) Software supports a Task-level Errant Instruction Management (TEIM) technique to utilize TLV metadata in the runtime OpenMP task scheduler. This method greatly reduces the number of recovery cycles compared to the baseline scheduler of OpenMP [22], consequently instruction per cycle (IPC) of a 16-core processor cluster is increased up to 1.51× (1.17× on average). We evaluate the effectiveness of our approach with various number of cores (4,8,12,16), and across a wide temperature range(∆T=90°C).