Comparison of the three integrators by measuring the offset of the Einstein ring in the Schwarzschild case. Left: computing time versus the tuning parameters. Middle: offset versus the tuning parameters. Right: computing time versus the offset. The different types of curves denote the different integrators: Legacy Generic Integrator (solid), Runge Kutta Cash Karp 54 (dash), and Runge Kutta Fehlberg 78 (dot).