SchoutenAllowZeroGain is an option for
FCSchoutenBruteForce and other functions that attempt to
simplify the input expression by applying Schouten’s identity. It is
similar to SchoutenAllowZeroGain with the difference that
even transformations that increase the total number of terms might be
applied in an attempt to arrive at a shorter expressions at a later
stage.
Overview, FCSchoutenBruteForce.