Enhance `test_results.py` to validate both optimization execution and accuracy of results for different inputs

[rochisha0]

Currently, test_results.py primarily checks whether the optimization process runs without errors. However, it does not verify if the optimization yields the correct or expected results. This limitation means that while failures in execution are caught, incorrect optimizations might still pass unnoticed.

It would be good if different kinds of inputs for H, initial and target are also tested.