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Within the framework of self-force theory, we compute the gravitational-waveenergy flux through second order in the mass ratio for compact binaries inquasicircular orbits. Our results are consistent with post-Newtoniancalculations in the weak field and they agree remarkably well withnumerical-relativity simulations of comparable-mass binaries in the strongfield. We also find good agreement for binaries with a spinning secondary or aslowly spinning primary. Our results are key for accurately modellingextreme-mass-ratio inspirals and will be useful in modellingintermediate-mass-ratio systems.

Gravitational-wave energy flux for compact binaries through second order in the mass ratio