We would like to thank the authors of LIPuS for helping reproducing the results. This work is supported by the National Natural Science Foundation of China (Grants #62025202), the Frontier Technologies R&D Program of Jiangsu (BF2024059), and the Collaborative Innovation Center of Novel Software Technology and Industrialization. T. Chen is partially supported by oversea grants from the State Key Laboratory of Novel Software Technology, Nanjing University under Grant #KFKT2022A03 and #KFKT2023A04. Yuan Yao is the corresponding author.