Before revision:  Furthermore,it always holds that v_{\tau\rm rel \leq 2v_{\pi}, thus the worst-case complexity of DynaMITE is } (\frac{TR{\varepsilon} +\frac{\tau_{\rm rel} v_{\pi}}{\varepsilon^{2}}), improving the dependence of classical methods on the loose bounds T and V}  .
After revision:  Furthermore,it always holds that v_{\tau\rm rel \leq 2v_{\pi}, thus the worst-case complexity of DynaMITE is } (\frac{TR{\varepsilon} +\frac{\tau_{\rm rel} v_{\pi}}{\varepsilon^{2}}), improving the dependence of classical methods on the loose bounds T and V} (f)), thus DynaMITE outperforms prior methods in these cases .