Based on this etymological information, what are the roots of the word hieroglyph?

Latin, hiems "winter"
Latin, arius "connected with"
Greek, hieros "sacred"
Greek, hierarkhes "leader of sacred rites"
Greek, graphein "to write"
Greek, glyphein "to carve"


Latin hiems + Greek graphein


Latin hiems + Latin arius + Greek glyphein


Greek hieros + Greek glyphein


Greek hierarkhes + Greek glyphein