"kicked their asses back to Arabia"
Not quite - in fact not even by a long shot! Across the Straits of Gibraltar and into North Africa, from whence they had come, more like.
Incidentally, Moslem rule of Spain was not all blood and guts, either. Christians were still free to practice their religion, and during those years, the three centres of learning in the entire world were Cordoba, Bagdhad and Constantinople - with two of those centres being under Moslem rule. Scholars were not only tolerated, they were actually welcomed - not viewed as heretics, like they were in the lands dominated by the Roman Catholic church.
Bill