  Up to a new invariant $\mu(b)$, the complete $b$-symbol weight distribution
of a particular kind of two-weight irreducible cyclic codes, was recently
obtained by Zhu et al. [Des. Codes Cryptogr., 90 (2022) 1113-1125]. The purpose
of this paper is to simplify and generalize the results of Zhu et al., and
obtain the $b$-symbol weight distributions of all one-weight and two-weight
semiprimitive irreducible cyclic codes.
