This conference talk by Sebastian Wild from the University of Marburg explores practical adaptive sorting and searching algorithms as presented at the 2025 International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2025) at the Fields Institute. Discover cutting-edge techniques that adapt to patterns in data to improve efficiency beyond traditional sorting and searching methods. Learn about theoretical foundations and practical implementations that can optimize performance in real-world applications.