In this talk, I will illustrate an alternative approach to Luscher formulas for extracting the nuclear force from finite volume energy levels using the plane wave basis and eigenvector continuation. We adopt the formalism of semilocal momentum-space regularized chiral nuclear force up to fifth order to investigate the two-nucleon energy levels in the finite volumes using plane wave basis with no reliance on the partial wave expansion. In the chiral EFT framework, the long-range one-pion-exchange interaction is included nonperturbatively and the low energy constants are determined by fitting lattice QCD data at mpi=450 MeV from NPLQCD Collaboration. The pion mass dependence is incorporated self-consistently in the EFT framework. In the calculation, the eigenvector continuation is used to accelerate the fitting and uncertainty quantification, which also generates an interface to fitting the upcoming lattice QCD results in the future.