In the floating point computation of an integral by means of an interpolatory quadrature sum, the algebraic degree of precision
, of the quadrature sum is to be abandoned in the favour of its floating point degree of precision,
, the value of which significantly varies with the extent and localization of the integration domain over the real axis. The use of
drastically sharpens the admissible bounds of variation of the integrand in the Bayesian automatic adaptive quadrature.