Is there an app to track and log SMS - only number, time stamp and size.

[Android Central Question]

In one of my bills, I was charged SMSes which I did not send. SMS to various numbers not even on my contact lists were reported by the service provider. In future I want to check the bill for the SMS I sent. I want an app to log all SMSes I sent and received on my phone - only number and time stamps and size. Is such an app available?