How to change search URL in wordpress?

I want to change the search url to something like this

http://simply.mmag.in/blog/?s=coaching 

Where as my current search result shows which is recommended by most user and article

http://simply.mmag.in/blog/coaching

Code which i am using for the above search result

function wpb_change_search_url() {
    if ( is_search() && ! empty( $_GET['s'] ) ) {
        wp_redirect( home_url( "/blog/" ) . urlencode( get_query_var( 's' ) ) );
        exit();
    }   
}
add_action( 'template_redirect', 'wpb_change_search_url' );

and the base url code

function re_rewrite_rules() {
global $wp_rewrite;
$wp_rewrite->search_base = 'blog';
$wp_rewrite->flush_rules();
}
add_action('init', 're_rewrite_rules');

How can i get search result like this

http://simply.mmag.in/blog/?s=coaching