Macedonian and Comnenian army vs the Song, Liao, and Jim army in terms of quality?

Nov 2014
Who had the qualitative edge, for example in the year 1025 for the Macedonian army vs. the Song and the Khitan, and the year 1170 for the Comnenian army vs. the Southern Song and Jin? How did the Byzantine cavalry in this period compare with Chinese and Jurchen cavalry?