Which would you recommend to your boss, Algosec or FireMon?

AlgoSec offers the most extensive network security solution in the market. The solution spans from managing your network security from a business application perspective through Firewall optimization, compliance and network visibility to automated and customizable network security change workflow with "Zero Touch". In addition, the integration between the business application and the firewall optimization and compliance is tight and the 2 modules are enriching one anther.

I will be happy to explain more the added value AlgoSec's solution gives.

I prefer to go with POC's , as both doing same functions using different approaches, flexibilty is more with Algosec.

I would recommend on the Skybox Security product.
Compare to Algosec, Tufin and Firemon from Skybox you can get much more value and capabilities not only about compliance, visibility, rule usage and configuration and access compliance,
But also very strong vulnerability management and very strong cloud compliance capabilities.

I will be happy to explain more if necessary.

Tufin automation is best in class. If you need scalable platform to manage security policy changes across on-prem and hybrid cloud environments that integrates with the existing security solutions you use today, Tufin Orchestrtion Suite is the proven solution. Tufin is the trusted vendor with excellent support and Professional Services organizations.