Numerical order of accuracy of the 3D recoiling black hole simulation calculated from the L₁ norm using grid (uniform) and AMR (dashed) cases. In the uniform grid case, we used three different resolutions, low (128 × 64 × 16), medium (256 × 128 × 32), and high (512 × 256 × 64). In the AMR runs, tolerances of ε_t = 0.1 and ε_t = 0.3 are set to trigger the second and third refinement levels, respectively. The simulation data used were uniform (128 × 64 × 16, level 1), AMR with two levels, and AMR with three levels.