Identify PHP Process by ID ? (issue with exec time out)

This mostly a php timeout or server load balance problem fastcgi is noted for this happening
You will need to get hold of your provider for any changes.

Yep, i'm working with them about that.

But is there a way :

1/ to create a log storing all the PHP Process with their number and infos ? (not in production, but at least during the development phase) 
2/ to create handling errors function connected to CI to store in database all the PHP / SQL errors ? 

Thanks a lot !