We discuss briefly recent progress towards a method for obtaining full next-to-leading high-energy logarithmic accuracy for processes while maintaining analytic properties such as crossing symmetry and gauge-invariance of the amplitudes. The additional analytic requirements help constrain the behaviour of the amplitudes away from the asymptotic limit. This aids the accuracy of the predictions beyond the logarithmic precision. Furthermore, the framework ensures full energy and momentum conservation necessary for next-to-leading logarithmic precision not just of the amplitudes but also of the cross sections.