Systems and methods are described for interactively and graphically displaying performance information to a user of an HVAC system controlled by a self-programming network-connected thermostat. The information is made on a remote display device such as a smartphone, tablet computer or other computer, and includes a graphical daily summary each of several days. In response to a user selection of a day, detailed performance information is graphically displayed that can include an indication of HVAC activity on a timeline, the number of hours of HVAC activity, as well as one or more symbols on a timeline indicating setpoint changes, and when a setpoint was changed due to non-occupancy.