Stupid question perhaps, but what happens (if you know) if the 120V/240V switch is thrown with the set ON?Since you are running it in 240 V mode the most you should pull on one of the 120 legs is ~15 amps at the lugs.
The saws startup current is probably tripping it.
If you don't need 240 volts then reconfigure the inverter to 120 V mode. !! Only do this with the set shut OFF !!
Once you do that you'll have 30 amps at 120 V available at the lugs.
See if your saw will work that way.