This film is perhaps one of the most disconcerting and original film to discuss the potential for dislocation and horror that lies in all male-female sexual relationships. In the manner of one of the best modernist road movies (Two Lane Black Top), it strips all the unnecessary and hackneyed elements of narrative (e.g. standard horror or romance "tropes" often employed in the couple road movie) and both transcends the level of most other films, and simultaneously creates a far more convincing and natural reality through its controlled pacing, lack of narrative contrivance, its central performances and its perfectly composed photography.
As usual, Dumont's psycho-philosophical concerns are the ultimate "point" of the film, and it is essential that these are at least partially understood in order to appreciate the film. Some of these, once again, are notions (I believe) about the essentially selfish, violent "animal" nature of the way most humans think, particularly men, and the way this explains the insatiable human appetite to murder and screw. The final link that is made between horrific random brutality and the central man's sexuality is thereby horribly significant, and in no way simply an attempt to shock an audience simply for the sake of shocking an audience. A shock is of course intended, but to make an interesting point that challenges a complacently liberal optimist view of human nature/behaviour. It also provides a perfectly significant and unpleasant climax to Dumont's uneasy journey into the amorality and horror of male-female relations and human behaviour.
It's disheartening and yet inevitable that this film is not generally recognised as a brilliant piece of work. Whereas Bresson is now recognised as a master, Dumont is a new master and many of the comments here reflect the fact that his work has been predictably misunderstood. Many people display an obvious and almost deliberate confusion at his method and his choices, not being prepared to do any work to engage with the film or to accept that these are indeed artistically valid choices/ a method. Instead of seeing the its originality as refreshing, they are simply irritated by any the fact that it doesn't play the expected "game" to make it another easily-consumed-and-forgot piece of cinema, or a superficial piece of shock/extreme cinema like Noe's overpraised homage to 70s exploitation cinema with added French pretentiousness. Blinkered by their limitations, they can only judge it as a failure because it fails to fulfill their expectations and does not conform to what what they "know" or imagine to be good in film - a fulsome if rather predictable narrative packed with event, lots of theatrical, snappy dialogue (e.g. Noe's ludicrous racist dialogue that strikes me completely over-the-top and or his character's stale cod-philos. speeches) that is actually horribly predictable and rather dull, "good" acting (i.e. emotional, though unrealistic performances which encourage either empathy or hatred for the character, acted with theatrical charisma or self-conscious villainy, such as Noe's rapist). But then, as Dumont realises, most people are not capable of using cinema for doing anything more than indulging their appetite for sex, food and violence... and this is is what most cinema provides a simulated escape into, without the risk of getting caught.
