Of Mice and Machetes

Let R be the class of regular cardinals which are not hyperinaccessible. We show that $L[R]$, and similar inner models in the α-inaccessible hierarchy, can be generated by iterating a small "machete" mouse up through all the ordinals, and then taking a generic extension by a hyperclass Magidor iteration of Prikry forcings. We then show that such simple mice are themselves elements of L[Reg].