First log:
16:19:42.861: ==== Streaming Start ===============================================
16:20:24.216: [rtmp stream: 'simple_stream'] User stopped the stream
16:20:24.217: Output 'simple_stream': stopping
This says you stopped the stream after about 40 seconds.
Second log:
12:05:20.391: [rtmp stream: 'simple_stream'] Connecting to RTMP URL rtmps://rtmp-api.facebook.com:443/rtmp/...
12:05:24.011: RTMPSockBuf_Fill, recv returned -30848. GetSockError(): 0 (unknown error)
12:05:24.011: [rtmp stream: 'simple_stream'] Connection to rtmps://rtmp-api.facebook.com:443/rtmp/ failed: -3
Network error.
I would address the question to FaceBook-- I don't have any particularly useful information to suggest on their platform as I don't stream to them.