  In this outline we recognize the idea of complexity factor for static
anisotropic self-gravitating source with generalized $f(R)$ metric gravity
theory. In present consideration, we express the Einstein field equations,
hydrostatic equilibrium equation, the mass function and physical behavior of
$f(R)$ model by using some observational data of well known compact stars like
$4U~1820-30, SAX~J1808.4-3658$ and $Her~X-1$. We define the scalar functions
through the orthogonal splitting of the Reimann-Christofell tensor and then
find the vanishing complexity condition for self-gravitating system with the
help of these scalars. It has been found that the vanishing condition for the
complexity are pressure anisotropy and energy density inhomogeneity must cancel
each other. Moreover, we study the momentous results of an astral object for
the vanishing of complexity factor. Finally, these solutions reduced to
previous investigation about complexity factor in General Relativity by taking
$\lambda=0$.
