We present the Stack Trace Analysis Tool (STAT) to aid in debugging extreme-scale applications. STAT can reduce problem exploration spaces from thousands of processes to a few by sampling stack traces to form process equivalence classes, groups of processes exhibiting similar behavior. We can then use full-featured debuggers on representatives from these behavior classes for root cause analysis. STAT scalably collects stack traces over a sampling period to assemble a profile of the application's behavior. STAT routines process the samples to form a call graph prefix tree that encodes common behavior classes over the program's process space and time. STAT leverages MRNet, an infrastructure for tool control and data analyses, to overcome scalability barriers faced by heavy-weight debuggers. We present STAT's design and an evaluation that shows STAT gathers informative process traces from thousands of processes with sub-second latencies, a significant improvement over existing tools. Our case studies of production codes verify that STAT supports the quick identification of errors that were previously difficult to locate.