Time history analysis using a time integration method is a powerful broadly accepted tool for structural dynamic analysis. In practical areas, such as earthquake engineering, computations based on time history analysis might be computationally very expensive. In 2008, a technique was proposed to considerably reduce the computational effort by reducing the data in the earthquake record. This technique, which is recently named as a SEB THAAT, is reviewed in this paper. After a brief review on the formulation and implementation, the positive points, the limitations, and the challenges facing versatile implementation of the SEB THAAT are addressed, and a future perspective is presented.