Difference between Google search engine and Weebly search engine

Difference between Google search engine and Weebly search engine

This year, I upgraded my weebly plan from basic to pro, then I can use the search engine function finally. Before now, I used to apply the google's search engine for my website. For example, I remained it's function in my C.V like the below. 

Also, I posted the related information, the making process of the google free search engine to search your contents in your web site. 

How to create your free site search engine on Weebly.

But, it has included some advertisements, and then the user should see the list from google and your site, both with half and half ratio. Additionally, It is not 100% satisfied with the result. For instance, it can be shown a different result, which I can't have an intention. 

​The best alternative is to use the search engine provided by Weebly. This way, you can find the content on my site more clearly and accurately. And the pagination you craved so much for on the Weebly blog.

To help your understanding, I displayed both, search engines below. 
If you can search by putting your keyword in the empty box, you can find the result of the difference. 

* The google's personal search engine

* The weebly's personal search engine as Pro plan