I'd say 'not to be commuting' is a complement of 'happy' and not adverbial. ). happy to be here happy to help you glad to see you glad to be invited sorry to have missed you sorry to hear that happy not to have made a mistake happy not to be working there anymore CJ
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I'd say 'not to be commuting' is a complement of 'happy' and not adverbial. Infinitive constructions are often the complement of 'happy' (or 'glad' or 'sorry', etc.).
happy to be here
happy to help you
glad to see you
glad to be invited
sorry to have missed you
sorry to hear that
happy not to have made a mistake