Saxo gives us two accounts of Svipdag's death--the one clearly converted into history, the other corresponding faithfully with the mythology. The former reports that Hadding conquered and slew Svipdag in a naval battle (_Hist._, 42). The latter gives us the following account (_Hist._, 48):

While Hadding lived in exile in a northern wilderness, after his great defeat in conflict with the Swedes, it happened, on a sunny, warm day, that he went to the sea to bathe. While he was washing himself in the cold water he saw an animal of a most peculiar kind (_bellua inauditi generis_), and came into combat with it. Hadding slew it with quick blows and dragged it on shore. But while he rejoiced over this deed a woman put herself in his way and sang a song, in which she let him know that the deed he had now perpetrated should bring fearful consequences until he succeeded in reconciling the divine wrath which this murder had called down upon his head. All the forces of nature, wind and wave, heaven and earth, were to be his enemies unless he could propitiate the angry gods, for the being whose life he had taken was a celestial being concealed in the guise of an animal, one of the super-terrestrial:

Teutonic Mythology, Vol. 3 (of 3) — Part 61

Quippe unum e superis alieno corpore tectum Sacrilegæ necuere manus: sic numinis almi Interfector ades.

Teutonic Mythology, Vol. 3 (of 3) — Part 61

It appears, however, from the continuation of the narrative, that Hadding was unwilling to repent what he had done, although he was told that the one he had slain was a supernatural being, and that he long refused to propitiate those gods whose sorrow and wrath he had awakened by the murder. Not until the predictions of the woman were confirmed by terrible visitations does Hadding make up his mind to reconcile the powers in question. And this he does by instituting the sacrificial feast, which is called Frey's offering, and thenceforth was celebrated in honour of Frey (_Fro deo rem divinam furvis hostiis fecit_).

Teutonic Mythology, Vol. 3 (of 3) — Part 61

Hadding's refusal to repent what he had done, and the defiance he showed the divine powers, whom he had insulted by the murder he had committed, can only be explained by the fact that these powers were the Vana-gods who long gave succour to his enemies (see No. 39), and that the supernatural being itself, which, concealed in the guise of an animal, was slain by him, was some one whose defeat gave him pleasure, and whose death he considered himself bound and entitled to cause. This explanation is fully corroborated by the fact that when he learns that Odin and the Asas, whose favourite he was, no longer hold their protecting hands over him, and that the propitiation advised by the prophetess becomes a necessity to him, he institutes the great annual offering to Frey, Svipdag's brother-in-law. That this god especially must be propitiated can, again, have no other reason than the fact that Frey was a nearer kinsman than any of the Asa-gods to the supernatural being, from whose slayer he (Frey) demanded a ransom. And as Saxo has already informed us that Svipdag perished in a naval engagement with Hadding, all points to the conclusion that in the celestial person who was concealed in the guise of an animal and was slain in the water we must discover Svipdag Freyja's husband.