TBH, I'm not sure what you expect to be different between the 2? Better/more expensive cameras will perform better in difficult conditions than cheaper ones. The iPhone has a fixed lens which will be very quick (allows lots of light capture) so will always look pretty good, especially in good light, but even in poor light. The bridge camera is all about allowing control though, how much of the photo background is in or out of focus (depth of field) and how much motion blur can be achieved (shutter speed). The iPhone doesnt allow any control over this AFAIK, so anywhere you want to do these kinds of things the iPhone will fail to impress compared to the bridge.
Sorry if it sounds harsh, but if you learn to use the bridge for what its really for, then you will get some excellent pics that the iPhone will never get