Compared to previous models, the reparameterized model, GOPAL, shows two to four orders of magnitude of reduction in properties derived from the pressure derivatives of Gibbs energy over a large range of pressures, without sacrificing accuracy in the properties coming from the temperature derivative of Gibbs energy, or sacrificing accuracy at atmospheric pressures. GOPAL reproduces accurate density of water for a large pressure and temperature range and is the first four-site rigid water model to have an error within the upper limits of experimental uncertainty i. e. 0.02% over the entire range. The ability to capture this entire range so accurately is impressive considering the relative simplicity of the model.