We revisit the renormalizable polynomial inflection point model of inflation, focusing on small field scenario which can be treated fully analytically. In particular, running spectral index is predicted to $\alpha = -1.43 \times 10^{-3} +5.56 10^{-5} \left(N_{\rm CMB}-65 \right)$, might tested in future. also analyze reheating through perturbative inflaton decays either fermionic or bosonic fin...