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Heretofore, automatic checkpointing at procedure-call boundaries, to reducethe space complexity of reverse mode, has been provided by systems likeTapenade. However, binomial checkpointing, or treeverse, has only been providedin Automatic Differentiation (AD) systems in special cases, e.g., throughuser-provided pragmas on DO loops in Tapenade, or as the nested tapingmechanism in adol-c for time integration processes, which requires that usercode be refactored. We present a framework for applying binomial checkpointingto arbitrary code with no special annotation or refactoring required. This isaccomplished by applying binomial checkpointing directly to a program trace.This trace is produced by a general-purpose checkpointing mechanism that isorthogonal to AD.

Binomial Checkpointing for Arbitrary Programs with No User Annotation