To provide a machine tool that cuts off chips and reduces the load of a cutting tool, and a control device for the machine tool. In a state where the cutting tool (130) and the work (W) are separated from each other within the feed section S of the cutting tool (130) in the range where the cutting parts overlap during the forward movement and the backward movement, the cutting tool (130 The machine tool (100) and the control device (C) configured to provide the separation feed section (A4, A1) in which the feed operation is performed.
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