When The Log-Output is enabled in the Launcher and the game exits once, Or most of teh time twice, ** The launcher stops working on my machine.
The only error log I could find was just the one in event viewer:
Faulting application name: Minecraft.exe, version: 1.0.1.0, time stamp: 0x5af1959b
Faulting module name: libcef.dll, version: 3.2840.1511.0, time stamp: 0x5814380c
Exception code: 0xc0000005
Fault offset: 0x0037715d
Faulting process id: 0x1700
Faulting application start time: 0x01d408ebc345e137
Faulting application path: C:\Program Files (x86)\Minecraft\Minecraft.exe
Faulting module path: C:\Program Files (x86)\Minecraft\game\libcef.dll
Report Id: bdddb88c-a72b-459e-995c-0dc4895b8574
Faulting package full name:
Faulting package-relative application ID:
I may be seeing the same issue. On the just-released latest launcher 2.1.1144. I'm on mac, so a crash looks a little different than the attached video. But I do have "keep launcher open while game runs" and "open output log" set to yes. Here is the Apple "Problem Report" dump
https://pastebin.com/L6F9UZps