This guide is focused on fastest completion and abuses the level skip feature (K key).
All achievements are for finishing the levels without pulling back (G key), while collecting the fragments, and in under par moves.

Estimated Completion Time: 10 minutes.

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Level 1
R 2D K

Level 2
5R D 2R 4U K

Level 3
D 2R 5D R D 4L K

Level 4
3L 2U D 2R 2U R U L R 2U 4L U L 3D L U 2L 4D R D L 3D 2R 3U 10L K

Level 5
2U 3L D 3L R U 2R D 12L K

Level 6
L U 3L D 3L U 4R D R 4U K

Level 7
2L 2U 2R 2U K

Level 8
D 3L 2U K

Level 9
L 10U R K

Level 10
L 2U 2L U D L 2U L U 2R D R 5U R U K

Level 11
2U L U 4L 2U 4R
D R 4U K

Level 12
7L D 5L 2D 4R 3U L U 6R U R 2D 3L 3D L U 3L 2U 4R D R 2U L U 6R U R 3D 4L 3D
2L U L 2U 6R D R U L 2U 6R U R 7D R K

Level 13 (Can be replayed by clicking the replay button on level 12)
U 2L 2U R 6D L D 3R 4U R 4D L D R 3U 6R D L D 3L R D 3L R D 3L R D 3L R
D L D 5L U L 3U D 3L U 3R L U 3R L U R U R

Level 14
2D 2L D L K

Level 15
R 2D 5R 2U L 2U L 4U 2R L 2D R D R D 2R 8U 4L 3D R D L 2U 4R 8D 2L U L U L
4U R U 5L R 4D R D R 2D 5L 3U 3R 2D 2R 8U R U 6L U L R 2D L 2U 3R 4D 3L 2D R
2U L U 4R D R 8U R U 6L U L 2D 3R 5D 2L 2D R 4U L U 2R D R 8U R U 6L U L
2D R D L U 2R 5D L 2D 3R 2U 4L U 2L 2D R 2U L U 2R D R 8U R U 6L U L 2D R D 5L D K