; Example of a nearly impossible problem.
; The true solution is: x1=1/3   x2=0   x3=1e-12
; but there are many "solutions" with small residuals.

 x1^2 + 2*x2 - exp(x2) + x3 = 1e-12 - 8/9
 x1*x2 + exp(-x2) + x1*x3 = 1 + 1e-12/3
 x1^3 + cos(x2) - x3 = 1/27 - 1e-12 + 1

 x1 := .5
 x2 := 0
 x3 := 0