An electronic device detects a touch input. After a latency period, the device delivers to an application a sequence of input events that represent the touch input, including, in sequence: a first input event that represents the touch input at a first input time and is delivered at a first delivery time, a second input event that represents the touch input at a second input time and is delivered at a second delivery time, and a third input event that represents the touch input at a third input time and is delivered at a third delivery time, a time interval between the second input time and the second delivery time is smaller than a time interval between the first input time and the first delivery time, and a time interval between the third input time and the third delivery time is smaller than the time interval between the second input time and the second delivery time.