Title: Conditional Execution Of Cascaded Models Improves The Accuracy-Efficiency Trade-Off. Abstract: The compute effort required to perform inference on state-of-the-art deep learning models is ever growing. Practical applications are commonly limited to a certain cost per inference. Cascades of pretrained models with conditional execution address these requirements based on the intuition that some inputs are easy enough that they can be processed correctly by a small model allowing for an early exit. If the small model is not sufficiently confident in its prediction, the input is passed on to a larger model. The selection of the confidence threshold allows to trade off compute effort against accuracy. In this work, we explore the effective design of model cascades, and thoroughly evaluate the impact on the accuracy-compute trade-off. We find that they not only interpolate favorably between pretrained models, but that this trade-off curve commonly outperforms single models. This allows us to redefine most of the ImageNet Pareto front already with 2-model cascades, achieving an average reduction in compute effort at equal accuracy of almost 3.1x above 86% and more than 1.9x between 80% and 86% top-1 accuracy. We confirm the wide applicability and effectiveness of the method on the GLUE benchmark. We release the code to reproduce our experiments in the supplementary material and use only publicly available models and datasets.