From that point on, I make sure test cover counter wrap around in 2^31, 2^32 etc. Until one day, someone told me the system I worked on, deploy in Comcast data center has issue after ~250 days......
I used hearing news about Newton, Win98, 777 etc has issue after 25 days, 49 days, etc. It is very easy to guess what the potential issues were.
E.g. you might want to set a certain bit if the value went outside the defined input range of a function (think for example far from the accepted numerical window of a Taylor series expansion). Instead of dealing error conditions at each and every step (thereby making the timing properties of the code unpredictable) you just collect all error conditions and at the end decide if you discard the value, or just use it partially (e.g. it might still be "good enough" to be used as a parametizing input of an adaptive filter, where it averages out with the rest).