If anyone ever asked me "what mathematical graphing tool should I use", Gephi would be my first answer. At the very least, it's an excellent prototyping tool. I would be wary, however, if someone needed to use the product for large scale production output. It's finicky at times and does require a little "jiggling of the handle" to get things to work, but I'm sure the kinks will be worked out as the product matures
While Gephi isn't perfect, it's a powerful tool for mathematical graph modelling that's hard to find in other products, particularly by way of its interface. It grants non-software developers access to a point-and-click way of creating accurate, beautiful visualizations that would normally take hours in other applications. The fact that it allows for live streaming data is also something that's hard to come by, at least for visualization software
Gephi is very intuitive and the fact that it shows its process helps the user understand what's going on. However, the animation features can really slow it down and there isn't a way to shut them off. Furthermore, the failures on saving mean you frequently have to start over. These problems disrupt the workflow and can be frustrating.
Compared to vis.js and d3, Gephi has a much better UI and is easier to use for anyone without a strong code background. vis.js and d3 are more flexible in terms of output and are used by Quaero for more of the ongoing reporting where Gephi is used for exploratory analysis and ad hoc requests. We use all three, just for different purposes.
I have only used the product for education purposes. I will not be the best person to provide details about ROI and business efficiency and customer service. I was personally very excited about the tool and am continuing my work on the tool.