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Statistically sound tests of scalar-tensor gravity theories in thestrong-field regime usually involves computationally intensive calculations. Inthis study, we construct a reduced order surrogate model for the scalar-tensorgravity of Damour and Esposito-Far\`ese (DEF) with spontaneous scalarizationphenomena developed for neutron stars (NSs). This model allows us to perform arapid and comprehensive prediction of NS properties, including mass, radius,moment of inertia, effective scalar coupling, and two extra couplingparameters. We code the model in the pySTGROMX package, as an extension of ourprevious work, that speeds up the calculations at two and even three orders ofmagnitude and yet still keeps accuracy of $\sim1\%$. Using the model, we cancalculate all the post-Keplerian parameters in the timing of binary pulsarsconveniently, which provides a quick approach for us to place comprehensiveconstraints on the DEF theory. We perform Markov-chain Monte Carlo simulationswith the model to constrain the parameters of the DEF theory with well-timedbinary pulsars. Utilizing five NS-white dwarf and three NS-NS binaries, weobtain the most stringent constraints on the DEF theory up to now. Our workprovides a public tool for quick evaluation of NSs' derived parameters to testgravity in the strong-field regime.

Extended reduced-order surrogate models for scalar-tensor gravity in the strong field and applications to binary pulsars and gravitational waves