Find minimum number of operations

*To*: mathgroup at smc.vnet.net*Subject*: [mg112936] Find minimum number of operations*From*: brien colwell <xcolwell at gmail.com>*Date*: Wed, 6 Oct 2010 03:17:26 -0400 (EDT)

Hi all, I have a set of expressions composed of literals, multiplications, additions, and powers. For example, -(-3 Bx (Ax^2 + Ay^2 - 2 Ax Bx + Bx^2 - 2 Ay By + By^2)^(3/2) + 3 Ax^2 Ay k + 3 Ay^3 k - 8 Ax Ay Bx k + 5 Ay Bx^2 k - Ax^2 By k - 9 Ay^2 By k + 4 Ax Bx By k - 3 Bx^2 By k + 9 Ay By^2 k - 3 By^3 k + 2 Ax Ay Cx k - 2 Ay Bx Cx k - 2 Ax By Cx k + 2 Bx By Cx k - 2 Ax^2 Cy k + 4 Ax Bx Cy k - 2 Bx^2 Cy k)/(3 (Ax^2 + Ay^2 - 2 Ax Bx + Bx^2 - 2 Ay By + By^2)^( 3/2)) I would like to find the form for each that minimizes the number of operations, where each operation is either a multiplication, addition, or power. Is this easily done in Mathematica (7)? Also, just curious, what criteria does FullSimplify use to evaluate the "simplest form"? Thanks, Brien