Abstract: Moir$\acute{e}$ patterns appear frequently when taking photos of digital screens, drastically degrading the image quality. Despite the advance of CNNs in image demoir$\acute{e}$ing, existing networks are with heavy design, causing massive computation burden for mobile devices. In this paper, we launch the first study on accelerating demoir$\acute{e}$ing networks and propose a dynamic demoir$\acute{e}$ing acceleration method (DDA) towards a real-time deployment on mobile devices. Our stimulus stems from a simple-yet-universal fact that moir${\'e}$ patterns often unbalancedly distribute across an image. Consequently, excessive computation is wasted upon non-moir$\acute{e}$ areas. Therefore, we reallocate computation costs in proportion to the complexity of image patches. In order to achieve this aim, we measure the complexity of an image patch by a novel moir$\acute{e}$ prior that considers both colorfulness and frequency information of moir$\acute{e}$ patterns. Then, we restore higher-complex image patches using larger networks and the lower-complex ones are assigned with smaller networks to relieve the computation burden. At last, we train all networks in a parameter-shared supernet paradigm to avoid additional parameter burden. Extensive experiments on several benchmarks demonstrate the efficacy of our DDA. In addition, the acceleration evaluated on the VIVO X80 Pro smartphone equipped with the chip of Snapdragon 8 Gen 1 also shows that our method can drastically reduce the inference time, leading to a real-time image demoir$\acute{e}$ing on mobile devices. Source codes and models are released at https://github.com/zyxxmu/DDA.