  Recently, imposing the gauge-symmetry and the T-duality constraints on the
string frame effective actions of type II superstring theories, the NS-NS
cuplings have been found in a particular scheme which has 445 couplings in 15
different structures. In this paper, using a field redefinition, we write them
in terms of 251 couplings which appear in 9 different structures. The 9
structures involve only Riemann curvature, $H_{\alpha\beta\mu}$ and
$\nabla_{\alpha}H_{\beta\mu\nu}$. The number of couplings in the structures
$R^4$, $H^8$, $H^6R$, $H^4R^2$, $H^2R^3$ are $2,\, 2,\, 1,\, 7,\,22$,
respectively, and the number of couplings in the structures $(\nabla H)^4$,
$(\nabla H)^2 R^2$, $(\nabla H)^2 H^4$, $(\nabla H)^2H^2R$ are $12,\, 22,\,
77,\, 106$, respectively. The new couplings are fully consistent with the
sphere-level S-matrix element of four NS-NS vertex operators.
