There is probably no need to worry, as said before.
There is a slight chance that your solid state relay is on for a few positive (or only negative) half cycles before it shuts of completely.
You can test this by putting a light load (indescesan bulb) or weird load (drilling machine, whatever) on the solid state relay, and a potentiometer in front of it, and then experiment a bit.
If your solid state relay does anything weird, you should build a schmitt trigger on the input signal to the solid state relay.
This can be made from a few discrete transistors and resistors, or with an opamp or even a ne555.