How to resolve conflicting mod_rewrite rules and conditions - apache

Question

I have a couple of rewrite rules in my .htaccess that seem to be conflicting.
I am running an ExpressionEngine (CodeIgniter) website that resolves all URI's using an index.php file. I have removed the index.php from the URI's for aesthetic reasons.
What I am trying to achieve:
Redirect 301 all pages with a trailing slash (example.com/bla/ =>
example.com/bla)
Remove index.php from all URI's
What I have now:
<IfModule mod_rewrite.c>
RewriteCond %{HTTPS} !=on
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteCond %{SERVER_ADDR} !=127.0.0.1
RewriteCond %{SERVER_ADDR} !=::1
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)/$ /$1 [L,R=301]
RewriteRule ^ http://www.%{HTTP_HOST}%{REQUEST_URI} [R=301,L]
RewriteCond $1 !^(images|system|themes|index\.php|admin\.php|favicon\.ico|robots\.txt|humans\.txt|crossdomain\.xml) [NC]
RewriteRule ^(.*)$ index.php/$1 [L]
RewriteCond %{THE_REQUEST} ^GET.*index\.php [NC]
RewriteRule (.*?)index\.php/*(.*) /$1$2 [R=301,NE,L]
</IfModule>
What works:
All deeplinks are redirected to their non-trailing-slash version
(example.com/bla/ => example.com/bla).
index.php is removed from all deeplink pages.
What does not work:
The homepage (example.com) gives me an error in Google Chrome, saying "Too many redirects".
How do I update the conditions and rules so that I achieve clean links without a trailing slash, and without index.php, regardless of which page it is.

Answer 1

Have it like this:
RewriteCond %{HTTPS} !=on
RewriteCond %{SERVER_ADDR} !=127.0.0.1
RewriteCond %{SERVER_ADDR} !=::1
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteRule ^ http://www.%{HTTP_HOST}%{REQUEST_URI} [R=301,L,NE]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)/$ /$1 [L,R=301]
RewriteCond %{THE_REQUEST} ^GET.*index\.php [NC]
RewriteRule ^(.*?)index\.php(/.*)?$ /$1$2 [R=301,NE,L]
RewriteCond $1 !^(images|system|themes|index\.php|admin\.php|favicon\.ico|robots\.txt|humans\.txt|crossdomain\.xml) [NC]
RewriteRule ^(.*)$ index.php/$1 [L]
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