A computing device, including a processor configured to execute a physics engine. At a first time step, the physics engine may, for a first body located at a first position, determine a non-collision region bounded on a side by a separation plane such that when the first body is within the non-collision region, the first body does not collide with a second body. The physics engine may apply lossy compression to the separation plane to generate a compressed separation plane, and may determine a first conservative distance vector between the first body and the compressed separation plane. At a second time step, the physics engine may move the first body to a second position, determine a second conservative distance vector between the first body and the compressed separation plane, and translate the compressed separation plane based on the second position and the second conservative distance vector.