When comparing Polarity Browser vs Iceweasel, the Slant community recommends Polarity Browser for most people. In the question“What are the best desktop web browsers?” Polarity Browser is ranked 13th while Iceweasel is ranked 42nd. The most important reason people chose Polarity Browser is:
According to [their own tests](http://polarity.x10.mx/compare) Polarity takes up more than 10x less memory than IE, FF or Chrome.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Fast and lightweight
According to their own tests Polarity takes up more than 10x less memory than IE, FF or Chrome.
Pro Built-in privacy features
Polarity browser comes with ad block and Do Not Track built in.
Pro Multi-session browsing with Parallel Sessions
Parallel Sessions allows users to browse the web with different profiles with separate cache, cookies, and history. This enables users to login to multiple accounts to different websites like Facebook.

Pro Customizable UI
It allows you to customize many things from window color, tab color and text color to window transparency and border size. You can set Background image or use Shuffle from Bing. You can also save the theme, import and export it.
Pro Custom Developer tools
Polarity comes with the standard Inspector for Blink based browsers along with its custom client that works with both Trident and Blink.

Pro Great HTML5 support
Polarity scores 512/555 on the HTML5 test. It is just a couple of points shy of Google Chrome.
Pro Same rendering engine as Firefox
Iceweasel uses the same rendering engine as Firefox which is one of the fastest browsers around.
Pro External security fixes
In order to work on any system, Firefox Linux libraries contatin copies of all libraries despite what's installed in the system. While Iceweasel uses the system libraries only.
This way, when a certain library gets a security fix you will get that in the next system update without having to wait for Firefox to update their library tree and wait for their next patch to be released.
Cons
Con Unstable and frequent crashes
Though the browser is really lightweight and lightning fast, it crashes many times and is clearly unstable.

Con Windows and Android only
No Linux, OSX or iOS version available.

Con Few annoyances left unchecked
The browser has a couple of bugs such as where extensions are not actually ran after installation despite a notification stating that they are.
Con Uninstallation problems
Polarity browser can only be uninstalled with a built-in deinstallation tool. This is very impractical.
Con Updates are released a couple of days later
Since Iceweasel needs to wait for Mozilla to release a new update which then has to be merged by the Debian team into Iceweasel, it can take one or two days more for Iceweasel to get updates.