Complex sentence: Since the decision algorithm necessarily behaves discontinuously at the optimal solution value, it can itself be used as the test algorithm as well; however, in some cases other algorithms are used, in order to reduce the number of comparisons that must be simulated.
Split into simpler sentences: Since the decision algorithm necessarily behaves discontinuously at the optimal solution value, it can itself be used as the test algorithm as well. However, in some cases other test algorithms are used, in order to reduce the number of comparisons that must be simulated.