I've been having a rough few weeks

Did your doctor start you off on the 125mcg?  If so, that starting dose is way to high!!  Doctors should start patients off on 25mcg and then very slowly work their way up to the dose that should keep your TSH around 1.00 or 2.00.  Even at 25mcg.. I had jitteriness, shaking, insomnia and sweating.  It took me almost a year to get to my 100mcg dose and feeling amazing.  it takes some time for our bodies to get used to levo, but I would say that for most people the side effects will go away.  For myself, they did and I feel great!  Now.. I also know that some people do not do well on Levo, so, if you did start on the low dose, slowly worked your way up, and are still feeling bad, then maybe you should talk to your doctor about alternative treatments.  

Linda, there are thousands of posts on this site about the side effects an ineffectiveness of levothyroxin. What you're experiencing is not unusual. If it's really been 16 months and you're having that much difficulty, I urge you to find a different medication and try some natural solutions. The fact that you're still having such difficulties after so long indicates this medication will likely never work for you. Heart palpitations are very concerning, as this drug has many side effects, the longer you're on it, the more difficult the recovery. My experience has lead me to believe this is a very dangerous drug, that should never be used due to its ineffectiveness and extremely detrimental side effects.

Some things to consider:

1. It takes three months for thyroid meds to fully stabilize.

2. Artificial sweeteners such as NutriSweet, can shift thyroid function. Caffeine and other dietary habits can also affect thyroid function.

3. For many people, this medication doesn't work at any dose. I tried for over two years and it got so bad, I became bedridden before I finally got off this crap.

4. It sounds like your doc is more experienced than most by the fact that he's having alternate days. This technique can be used to fine tune dosing.

5. Thyroid medication dosing is extremely complex and difficult due to the lag time, and the body's immensely complex feedback loops, as well as the many environmental factors that contribute to thyroid disease.

6. Many people seem to get better relief from ThyroGold, a natural bovine glandular supplement. The ratios of T3/T4 are closer to human ratios. Although anxiety, heart palpitations, jitteriness are typical issues when dealing with thyroid disease, meds can cause shifts in the natural balance of various types of thyroxins in the body which causes these sorts of anxious symptoms. 

7. There are many supplements,  dietary, and lifestyle changes you can make to curb your thyroid disease or even get the disease into remission.

8. Thyroid disease is autoimmune, so consider this when approaching healing.

Hope you find this helpful. I found I had such bad brainfog between the thyroid disease and this drug that I would have gotten off it sooner, had I been able to think straight.