Simplify doesn't combine factors in large expressions and will try to make an expression positive even at the cost of additional terms. I am exporting large vectors into fortran and I want to make it as easy as possible to optimize, which means I want to reduce as many terms as possible in large expressions. Simplify is not doing this with the default settings. I have looked and can't find a solution to this problem. Can somebody point to a setting or function that will accomplish what I am asking?
phi1 = sym('phi1', 'real');
Phi = sym('Phi', 'real');
phi2 = sym('phi2', 'real');
F = sym('F', [1 4], 'real');
assumeAlso(phi1>=0 & phi1<2*pi & Phi>=0 & Phi<=pi & phi2>=0 & phi2<2*pi)
simplify((6^(1/2)*F(1)*sin(2*phi2)*sin(Phi)^2)/4 + (6^(1/2)*F(2)*sin(2*phi2)*sin(Phi)^2)/4 + (6^(1/2)*F(3)*sin(2*Phi)*cos(phi2))/4 + (6^(1/2)*F(4)*sin(2*Phi)*cos(phi2))/4)
simplify((6^(1/2)*F(1)*sin(2*phi2)*sin(Phi)^2)/4 + (6^(1/2)*F(2)*sin(2*phi2)*sin(Phi)^2)/4)
simplify(2*sin(phi2)^2 - 1)
simplify(1 - 2*sin(phi2)^2)
EDIT: I installed maple's matlab toolbox and it had what I wanted in simplify(a, constants) but was jank in a lot of respects.
