Dry Run the correctness of the jsprit algorithm

Hi I’m new to jsprit and trying to implement in for our company. I have created a prototype and set up a basic vrp api but I need to prove the correctness to my VP that it is optimising the time and cost well by dry running few use cases on paper. Though I have followed the examples and created the basic working api. I’m still not sure about the working of the algorithm(not in theoritical sense). Can anyone help ?