Pete42 & SonofT@b [nice write-up!] are onto something I've used; likely much better than any Carpet or Foam you'll assess:
Astrofoil
Besides reflecting Infrared [IR] back at cha 'Space Blanket'-style, it has critical dead Air insulating space in the Bubble Pack 'middle'. In the 'Astrofoil' Product Line - consider it identical to 'Reflectix' - there's a 'single' Bubble Pack type and a thicker 'double' Bubble Pack type that yields even higher insulating R value on top of the IR bounce effect. That IR effect is a little tough to quantify vis-a-vis Fiberglass, for example, but plod through their Website info to get a feel for all that, and equivalent R Value. Much [but not all] new Trailer construction is 1" of Styro - an R-4 - in the middle of the Wall 'Sandwich. So, Astrofoil CAN perform much better than that, yielding the greater comfort and easier heating/cooling that S@T attests to.
I used the single Bubble Pack type under our House Drywall to pump up total Wall Insulation and - when taped off with special Tape - act as the Vapor Barrier. You staple it on, and it really goes fast with a 'Hammer'-type or Air Stapler.
Astrofoil also makes a Product w/o any Bubble Pack. It's ~like Aluminized Tyvek. I used it in our Attic, but it bounces IR when laid/stapled on the Floor under any Covering there. Like Tyvek, it's indestructible. You might as well try to tear a Phone Book in half as tear that stuff. It can even be used under Concrete to insulate Radiant Floors from Earth temps.
With some care, these material layers can be doubled up, too, for greater Insulation.
Telescope-hauling 'Astrotrailer' [sp] on this Forum did a bang-up job of insulating his Trailer from underneath. Top notch job and write-up...
DAP makes a low expansion Foam I used throughout our new House. However, you'd likely need to go with the large Container-based Application to get the volume of something like Isocyene needed in a Floor. You'll see Isocyene on about any Home Remo TV Show.
DAP Sealants
Isocyene