You shouldn't get this error

[Maticb]

Origin could not get code (-5df70000): Base proxy error. You shouldn't get this error.

Well, thanks for letting me know I SHOULDN'T get this error :D

[lvivman]

Hello,

try to reinstall Origin.

[Maulf]

This may also be a sign that your internet connection is dropping packets.

Try running a command like this on your command prompt:

ping -n 100 8.8.8.8

This will ping Google's DNS server 100 times and should look something like this: 

C:\>ping -n 100 8.8.8.8
Pinging 8.8.8.8 with 1450 bytes of data:

Reply from 8.8.8.8: bytes=1450 time<10ms TTL=32
Reply from 8.8.8.8: bytes=1450 time<10ms TTL=32

Ping statistics for 8.8.8.8:
    Packets: Sent = 2, Received = 2, Lost = 0 (0% loss),
Approximate roundtrip times in milliseconds:
    Minimum = 0ms, Maximum =  10ms, Average =  2ms

And that will give you an idea of the percentage loss.  If you see more than a few dropped packets in a row that can cause signifcant connection issues with any game. 

More ping info (for Windows) can be found here: http://technet.microsoft.com/en-us/library/cc737478(v=ws.10).aspx