To change the name of an animation rule click on the Change name button above the condition and action controls. The text field on its left side will then become editable and you change the name entered there. The button will also change its label to 'Set Name' indicating that when it will be clicked on the changes to the name will be saved. If one tries to set the name of a rule to a string which is already the name of another rule an error message is displayed and the original name is retained.