SCALA expert help needed

Dear, I had these things to fix on these 2 scala files: I'm testing an evil regular expression as the example on Evile1, Evile2 and Evile3. 1)The partial derivative idea explained on the attached picture ([login to view URL])seems not correct implemented on my folder with the name of ([login to view URL]). I used ALTSPDRS to use a set of regex. Please, fix the partial derivatives as what given on the math expressions on the pictures; this (pd) part must produce lower size results than the derivatives. 2) fix the simp function in the file called( [login to view URL]) to copy the same idea attached on the picture called([login to view URL]) 3)What simplification rules can be added to get more lowe size for the Evile regular expression? must add new kind of implementation.( creat your own idea you think can fix the idea on the attached ([login to view URL]) Thanks,