Today when we run with -Xlog:jit+compilation=debug, we get one line per compiled method:
[1,151s][debug][jit,compilation] 882 3 java.lang.StringLatin1::toChars (16 bytes)

It would be good if it also listed the nmethod and where the code is located, just like we do in the jcmd codelist:
2490180 4 0 java.util.HashMap.putVal(ILjava/lang/Object;Ljava/lang/Object;ZZ)Ljava/lang/Object; [0x00007f7c452fb710, 0x00007f7c452fbbe0 - 0x00007f7c452fddb0]

This information is crucial when trying to debug nmethod lifecycle bugs.