You can see and count the number of incoming, outgoing SMS and MMS on your HTC One from Settings. To count message on HTC One in different usage cycle do as follows:
1. Open "Settings" app
2. Tap "More" to see more Wireless & Networks options
3. Select "Usage"
4. Swipe right to view "Messages" tab
5. There you can see the number of incoming SMS, Outgoing SMS, Incoming MMS, Outgoing MMS.
6. Change the time interval to check number of incoming and outgoing messages, in specific period of time