Those formulas don't work for everyone. About 15 years ago (age 60) I climbed a very steep hill in my area and saw 192 on my Polar HRM (with chest strap). I was breathing hard, but about 30 seconds after cresting the hill I was back in my target zone. I reported this to my internist, who dismissed it as an erroneous reading. He had me get a "stress echocardiogram", which turned out normal. About 2 years ago (age 73), I mentioned to a new internist that I routinely see brief excursions into the 180s. He was skeptical, and prescribed a 7-day cardiac monitor ("Zio"). This was a bit of a pain in the butt; plus it cost me $60. On the second day I went out on my bike and hit the hills. I saw 175 on the HRM, and reported this to my doc, who was skeptical. When I got the results, sure enough there was a 175 max, and otherwise 7 straight days of normal sinus rhythm. Now my doc believes me. According to the formula, my max HR would be 145. I doubt I have the heart of a 45 year-old.
I had to see a cardiologist/vascular medicine specialist about a year later, after I had a pulmonary embolism while visiting my daughter in Boston. Everything resolved well, and three months later an echocardiogram (not "stress") showed normal cardiac function. I was on an anticoagulant for 4 months, and recommended not to ride my bike. This was not OK with me, but I was a good boy. After 4 months and good test results, I was cleared to stop the Eliquis. I still see high heart rates on the bike; this just seems to be normal for me.