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Definition of outwork : 1. A minor defense constructed beyond the main body of a work, as a ravelin, lunette, hornwork, etc.
2. To exceed in working; to work more or faster than.

Synonyms:

improve upon, work, work better than, outperform, defeat

Usage examples:

• To this point Pasitelidas, the Lacedaemonian commander, with such garrison as there was in the place, hurried to repel the Athenian assault; but finding himself hard pressed, and seeing the ships that had been sent round sailing into the harbour, Pasitelidas began to be afraid that they might get up to the city before its defenders were there and, the fortification being also carried, he might be taken prisoner, and so abandoned the outwork and ran into the town. - "The History of the Peloponnesian War", Thucydides.
• You will have to outthink him, outwork him, outgame him, and when eventually you have won, you'll know you've been in the fight of your career. - "The Valley of the Giants", Peter B. Kyne.
• The fort erected at Pemaquid in 1677, by Governor Andros, was a wooden redoubt mounting two guns, with an outwork having two bastions, in each of which were two great guns, and another at the gate. - "Nooks and Corners of the New England Coast", Samuel Adams Drake.