In the AR method, searching for the quasi-optimal order takes fewer calculation cost as introduced in Section 2.2. By introducing the AR method into AAs, however, it is now permitted to add several operators, as a 'batch', with a more apposite order to the Ansätze in each adaptive iteration. This subsequently leads to a quicker convergence than the original AAs by reducing the number of adaptive iterations, k. The strategy of appending several operators in each iteration in the AR-AAs is similar to that in ADAPT-V/Vx. The AR-AA Ansätze can thus be reformed as