I have the same problem. Here is my dump of the same data you asked. My OS (Mavericks) and apps are all on the current version:
2014/05/20 7:40:20,087 PM iTunes[1140]: [0x60000187f840] |Mingler|Error| failed to connect to the server: NSInvalidReceivePortException connection went invalid while waiting for a reply because a mach port died
2014/05/20 7:40:29,121 PM SyncServer[1158]: [0x7ff09040bc10] |SQLite|Error| Detected out-of-space situation: 0 (Undefined error: 0). 178441166848 bytes free in ianwright.
2014/05/20 7:40:29,122 PM com.apple.launchd.peruser.501[358]: (com.apple.syncservices.SyncServer[1158]) Exited with code: 1
2014/05/20 7:40:30,248 PM iTunes[1140]: [0x60000187f840] |Mingler|Error| failed to connect to the server: NSInvalidReceivePortException connection went invalid while waiting for a reply because a mach port died
2014/05/20 7:40:30,321 PM SyncServicesAgent[412]: [0x297f670] |Mingler|Error| failed to connect to the server: NSInvalidReceivePortException connection went invalid while waiting for a reply because a mach port died
2014/05/20 7:40:30,348 PM iCalExternalSync[498]: [0x7fdeaa50f6e0] |Mingler|Error| failed to connect to the server: NSInvalidReceivePortException connection went invalid while waiting for a reply because a mach port died
2014/05/20 7:40:30,401 PM com.apple.launchd.peruser.501[358]: (com.apple.syncservices.SyncServer) Throttling respawn: Will start in 9 seconds
2014/05/20 7:40:39,478 PM SyncServer[1159]: [0x7ff758e06510] |SQLite|Error| Detected out-of-space situation: 0 (Undefined error: 0). 178441158656 bytes free in ianwright.
2014/05/20 7:40:39,479 PM com.apple.launchd.peruser.501[358]: (com.apple.syncservices.SyncServer[1159]) Exited with code: 1
2014/05/20 7:40:39,917 PM iCalExternalSync[498]: [0x7fdeaa50f6e0] |Mingler|Error| failed to connect to the server: NSInvalidReceivePortException connection went invalid while waiting for a reply because a mach port died
2014/05/20 7:40:40,149 PM com.apple.launchd.peruser.501[358]: (com.apple.syncservices.SyncServer) Throttling respawn: Will start in 10 seconds