Triangular Pocket Prism

This puzzle is equivalent to the commercially produced game called Rubik's Ufo.

The Green Flag resets the puzzle.
Pressing the Spacebar scrambles the puzzle.
Down Arrow turns the bottom six cubelets by 180 degrees. The same can be achieved by clicking on the top of the corner piece.
Right Arrow turns the right six cubelets by 180 degrees. The same can be achieved by clicking on the top of the rightmost piece.
Left Arrow turns the left six cubelets by 180 degrees. The same can be achieved by clicking on the top of the leftmost piece.
Pressing a turns the top layer by 120 degrees clockwise. The same can be achieved by clicking on the leftmost face of this layer.
Pressing y or z turns the top layer by 120 degrees counterclockwise. The same can be achieved by clicking on the rightmost face of this layer.
Pressing s turns the bottom layer by 120 degrees clockwise. The same can be achieved by clicking on the leftmost face of this layer.
Pressing x turns the bootom layer by 120 degrees counterclockwise. The same can be achieved by clicking on the rightmost face of this layer.
Klicking on the top of one of the central edge triangles turns the entire edge/side by 180 degrees.
Pressing q flips the entire prism over by 180 degrees in the direction back --> right.
To solve the prism, you have to get the top side yellow, the left side blue and the right side red. (The green back and the white bottom are invisible.) When you solve it, your time taken is displayed for 5 seconds.

First get one corner column right. This can be done intuitively by moving the two pieces into their respective positions. For instance, start by solving the left column: green-yellow-blue on top, blue-white-green at the bottom.
Secondly, get one of the remaining four corner pieces into its correct position. For instance, let us assume that the bottom top piece (yellow-red-blue) is correct. Then the third top corner (the right one) is either in the correct (right) column or the bottom front piece. In the latter case, use D' - R - D to get it where it belongs.
Now the only possibly incorrect corner pieces can be the ones at front bottom and right bottom. To interchange them, use R - U - F - U' - R. Then the three corner columns should be correct.
If two of the middle columns need to be turned upside down, use RLFRLF or LRFLRF etc. The starting two directions should be the ones nearest to the two inverted columns.
Usually the edge pieces will be permuted in a more complicated fashion. You can cycle three at a time using the following move. To cycle (left top -> back top -> back bottom -> left top) use (R U' R U R) - (L U' L U L) - U - (F L R F L R). Similar moves can be devised for other 3-cycles. Or you bring the desired three edge pieces to the indicated positions and move them back after finishing the algorithm.
Easier moves to permute edges may be possible. Please tell me about your discoveries!