When comparing Slax vs Bedrock, the Slant community recommends Bedrock for most people. In the question“What are the best Linux distributions for desktops?” Bedrock is ranked 35th while Slax is ranked 54th.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Persistent changes
Changes you make in the configuration persist if you run from USB.
Pro Pretty fast to boot up
It was considerably fast to turn on when booting from cd.

Pro Modules
Standard tar archives plus some simple shell scripting produces modules that you can load dynamically into the OS for added apps and functionality.
Pro Modern desktop

Pro Small footprint
About 200mb, but with a full KDE4 environment and loads of useful apps.
Pro Choose your init system
Pro Choose your package manager
Pro Virtually every pro from every linux distro
Since Bedrock lets you pick and choose the best parts from each distro, every single pro from each distro applies to Bedrock.
Pro Pick and choose what you want from other distros
Want Debian's stable base and Arch's pacman for bleeding edge packages?
Want the security of Qubes OS and Gentoo's portage?
With the correct setup all this can be achieved.
Cons
Con Overly complicated HDD/SSD installation
While it has a nice layout Slax's lack of an installer tool like Tinycore's just can't be justified. It seems strange that it comes built in with programs that some users may not want, yet it doesn't have an easy way to install it. Due to its heavier use of RAM, built in software, and lack of an installer its hard to choose it over TC.
Con Works slowly on old computers
Con Infrequent releases
Since Slax is maintained by only one person, releases are not that frequent. So it may take a while to get bug fixes or new features once you start using it.
Con Often increases boot times
Since Bedrock has to load the strata before handing control to the chosen init system, it can make booting your machine take longer.
Con Difficulty setting up
Bedrock can be challenging to setup properly with the correct strata.
