1. A controller support apparatus, comprising: a storage that stores a controller support program and calibration data representing a relationship between a first test execution time and a second test execution time; and a processor, wherein the first test execution time comprises an execution time of a first test program which is an object program generated from a test source program and operating at a simulator of a controller, and the first test execution time is measured at the simulator, the second test execution time is an execution time of a second test program which is an object program generated from the test source program and operating at the controller, and the second test execution time is measured at the controller, and the controller support program causes the processor to execute: acquiring a first control execution time which is an execution time of a first control program which is an object program generated from a control source program, which is a source program of a control program generated in accordance with an object of control of a user, and operating at the simulator, and the first control execution time is measured at the simulator; calculating an estimated execution time which is an estimated value of an execution time, at the controller, of a second control program which is an object program generated from the control source program and operating at the controller, by converting the first control execution time using the calibration data; and outputting data representing the estimated execution time.