This paper introduces the concept of complexity for a static spherical spacetime and extends it to the modified $f(\mathbf{R})$ theory. The field equations are formulated to describe the anisotropic interior, and the spherical mass function is defined in both geometric and matter terms. The complexity-free condition is introduced, along with three other constraints, leading to the development of different models. The complexity factor, denoted as $\mathcal{Y}_{TF}$, is identified from the orthogonal splitting of the curvature tensor. The paper provides graphical representations of the solutions for specific parametric values, showing that all three models exhibit properties required for physically viable and stable structures. The analysis highlights the importance of complexity in understanding the evolution and stability of self-gravitating systems in modified gravity theories.This paper introduces the concept of complexity for a static spherical spacetime and extends it to the modified $f(\mathbf{R})$ theory. The field equations are formulated to describe the anisotropic interior, and the spherical mass function is defined in both geometric and matter terms. The complexity-free condition is introduced, along with three other constraints, leading to the development of different models. The complexity factor, denoted as $\mathcal{Y}_{TF}$, is identified from the orthogonal splitting of the curvature tensor. The paper provides graphical representations of the solutions for specific parametric values, showing that all three models exhibit properties required for physically viable and stable structures. The analysis highlights the importance of complexity in understanding the evolution and stability of self-gravitating systems in modified gravity theories.