Does ngx_http_rewrite_module is auto added with source compilation ?

Hello,

I followed an excellent tutorial on how to compile nginx with ngx_pagespeed @ http://www.howtoforge.com/using-ngx_pagespeed-with-nginx-on-debian-jessie-testing

I wanted to know if ngx_http_rewrite_module is auto added with source compilation ?
If not, do I have to add it like --with-ngx_http_rewrite_module or any other instruction while editing rules file ?

Because URLs are not rewriten on my prestashop domain.

Here is my domain conf file :

pagespeed MemcachedThreads 1;
pagespeed MemcachedServers "localhost:11211";

pagespeed RewriteLevel CoreFilters;
pagespeed EnableFilters collapse_whitespace,remove_comments;

location ~ "\.pagespeed\.([a-z]\.)?[a-z]{2}\.[^.]{10}\.[^.]+" { add_header "" ""; }
location ~ "^/ngx_pagespeed_static/" { }
location ~ "^/ngx_pagespeed_beacon" { }
location /ngx_pagespeed_statistics { allow 127.0.0.1; deny all; }
location /ngx_pagespeed_global_statistics { allow 127.0.0.1; deny all; }
location /ngx_pagespeed_message { allow 127.0.0.1; deny all; }
location /pagespeed_console { allow 127.0.0.1; deny all; }

# REWRITE

rewrite ^/api/?(.*)$ /webservice/dispatcher.php?url=$1 last;
rewrite ^/([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$1$2$3.jpg last;
rewrite ^/([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$1$2$3$4.jpg last;
rewrite ^/([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$1$2$3$4$5.jpg last;
rewrite ^/([0-9])([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$4/$1$2$3$4$5$6.jpg last;
rewrite ^/([0-9])([0-9])([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$4/$5/$1$2$3$4$5$6$7.jpg last;
rewrite ^/([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$4/$5/$6/$1$2$3$4$5$6$7$8.jpg last;
rewrite ^/([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$4/$5/$6/$7/$1$2$3$4$5$6$7$8$9.jpg last;
rewrite ^/([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])([0-9])(\-[_a-zA-Z0-9-]*)?(-[0-9]+)?/.+\.jpg$ /img/p/$1/$2/$3/$4/$5/$6/$7/$8/$1$2$3$4$5$6$7$8$9$10.jpg last;
rewrite ^/c/([0-9]+)(\-[\.*_a-zA-Z0-9-]*)(-[0-9]+)?/.+\.jpg$ /img/c/$1$2$3.jpg last;
rewrite ^/c/([a-zA-Z_-]+)(-[0-9]+)?/.+\.jpg$ /img/c/$1$2.jpg last;
rewrite ^/images_ie/?([^/]+)\.(jpe?g|png|gif)$ /js/jquery/plugins/fancybox/images/$1.$2 last;
try_files $uri $uri/ /index.php$is_args$args;
error_page 404 /index.php?controller=404;


location / {
try_files $uri $uri/ =404;
}

# PHP

location ~ \.php$ {
fastcgi_split_path_info ^(.+\.php)(/.+)$;
try_files $uri =404;
include fastcgi_params;
fastcgi_read_timeout 600;
fastcgi_pass unix:/var/run/php5-fpm.sock;
}

Thanks in advance for help !