function [ hist_h, hist_x ] = solution_stability( q_0, q_final, x_final, optics_positions, optics_focal_length, lambda  )
%SOLUTION_STABILITY Summary of this function goes here
%   Detailed explanation goes here
n = 10000;
lens_displacement = 10^-3;
x = lens_displacement*randn(n,3);

for i=1:n
    xd= x(i,:);
    fitness_array(i) = fitness( q_0, q_final, x_final, optics_positions + xd, optics_focal_length, lambda );
end

[hist_h, hist_x] = hist(fitness_array,100);
end