I can win 45% - 75% of worlds by scanning each axis to find the position that minimises its distance to the portal. In a lot of them, I find myself 2 squares away from the horror before I get next to the portal. In those cases I go back the way I came, make some random moves on the other axes, and repeat (hoping that there are now asteroids between me and the horror).
As far as I'm concerned, it's random whether or not that procedure works. Sometimes the horror doesn't get stuck behind a rock, and stays 2 squares away. Since it's impossible to tell which two axes it's close on, eventually all of the axes are stuck against a wall, and I have to guess which axis won't get me killed if I move along it.
Edit: OK, I just got to level 13 or 14. My two feature requests would be:
1. If I walk along the same axis two turns in a row and the distances to the portal are n+1, n, n+1, then the point along that axis where the portal distance was n should be highlighted. It's information the player has, this just saves them from wasting paper writing down which coordinates the portal occupies.
2. Either include a rest command, or highlight the two axes that would lead to the horror. That way when I get killed, it will feel like I was killed because I was stupid enough to get cornered, not because I guessed wrong.
Edit: Oh, space is the rest command! That should be made clear in the game.
Also I've spawned on an asteroid a few times. Not a big deal, but a little weird.