  We study a parametric deformation of the unified genus-1 anharmonic potential
and derive a parametric form of perturbative/non-perturbative (P/NP) relation,
applicable across all parameter values. We explicitly demonstrate that the
perturbative expansion around the perturbative saddle is sufficient to generate
all the nonperturbative information in these systems. Our results confirm the
known results in the literature, where the cubic and quartic anharmonic
potentials are reproduced under extreme parameter values, and go beyond these
known results by developing the nonperturbative function of real and complex
instantons solely from perturbative data.
