I would never do HIIT everyday and especially not twice per day! HIIT is an anaerobic exercise like resistance training. If you are doing this everyday, which I advise not to, when are you supposed to resistance train? This sounds like a sure track to overtraining to me. I would recommend to use HIIT at most, 3 times per week. Even that is a lot, I usually use it myself or the clients I train twice per week. If you are not getting the results you are after, it is time to look at other variables of your regiment like nutrition. Or add some SS cardio to the mix.
To add to this sticky, HIIT has come to be very popular, especially on the web forums nowadays. It is nothing new and exciting though, it has been around for years. There is good reason for its rise in popularity though. High Intensity Interval Training is a very efficient and effective way to burn calories and aid an energy deficit diet. It is popular notion to believe that running at a constant speed hours on end is the only way to burn fat through exercise. This is a very ineffective way of training. There is a time and a place for steady state cardio, but if fat loss is your goal, then HIIT is the way to go.
Steady state cardio is aerobic exercise. You usually do it for 30+ minutes. Some go over 60 minutes which is insane to me! Using this form of exercise, you actually burn more calories than had you performed a session of HIIT. You also burn more fat calories doing steady state cardio over HIIT. "So why am I telling you to do SS cardio over HIIT?"
HIIT on the other hand, is an anaerobic exercise that stresses the body to a greater degree over the long run. One of the physiological functions/outcomes of interval training is an elevated Excess Post Exercise Oxygen Consumption rate (EPOC). With this, though you burn more calories doing SS cardio over HIIT, HIIT elicits extra energy burn for up to 24 hours! This is huge when you are trying to lose fat. Remember, altering your body composition really comes down to energy (calorie) balance. Using HIIT will help you burn more energy once all is said and done.
HIIT is merely the alteration from high intensity to low intensity training. It can be done with any facet of exercise, have it be running around the track, on a bike, in a pool, on a treadmill, using an elliptical, etc. There are no set time limits you must stick to, just as long as you alter the intensities. My favorite is the track. I don't even clock myself. I sprint the straight aways and walk/light jog the curves. Treadmills are what most resort to but they can be a pain since each time you switch your intervals, you must wait for the speed of the machine to speed up or slow down. What matters is you find something that works for you.
It is best to do Interval Training on non-resistance training days. You are tapping into the same energy systems for HIIT as you would for weight training. So, as you can imagine, doing both can lead to overtraining. Also, a session of HIIT should be much shorter then a SS cardio session. You could effectively train using HIIT in a 15 minute session. My average session goes for 20 minutes.