Run the Python code faster (In cloud Computing)

Hi everyone, I have two codes are written perfect and the results come ok with no problem. The idea of my project is: I have two maths formulas, I wrote the first formula, with the given info and I wrote the second formula with given info in one code. I need compare the first formula with the second formula in one plot which already done. The problem when I run the code it takes long long time as the loops, where I can't do anything because it's formula no change in that. The code works fine as I increased the r= 100 (in the code which is the time) which makes the code takes long time. I need some one to run the code in fast machine or cloud computing and give me the plot. I have two separate codes. in each code there is two formula , at the end I will get two plot for case 1 and case 2 the names of codes. I have attached: * two codes ( in each code 2 formulas comparison between 2 formulas) * the word file ( inside that the 2 formulas) which explain the codes both codes the same with different given data. I need only to run the code in fast machine and give me the plot that's all, no change in the code. PLEASE NOTE: - I have packages inside the codes like (Numpy, scipy, matplotlib) check these library before you start. - I am using python 3.4 version. Don't hesitate to ask me if there is a confuse