I looked into LadyComp and wasn’t too impressed. I looked at a study that compared the number of potentially fertile days (yellow days in LadyComp) using FAM vs. LadyComp, and LadyComp required you to consider more days as potentially fertile. That means more days abstaining or using a barrier method. No fun.
At $485 USD, the LadyComp is basically a really expensive thermometer. The effectiveness rates of LadyComp and FAM are comparable, but you can get much more information with much much less expense when charting with FAM.
P.S. Charlie calls the LadyComp the Ladytron 2000.