%  This is data in the secion: Do Synergies Generalize to New Tasks?
%  This is the data for when the plane is placed lower.

syn_8_task_term = [4.56683e-06; 0.136755; 0.00447413;  0.0511966; 0.194906;  0.0666373; 0.247639; 0.0976254; 0.00775134; 0.032103];
syn_8_act_term  = [0.0128453; 0.0143189; 0.0143188;  0.0193667; 0.0219169;  0.0223313; 0.0337386; 0.014976;  0.0151316; 0.0198629];
syn_8_cost      = [0.0183705; 0.153953; 0.0239226;   0.0791818; 0.221078;  0.092542; 0.287139; 0.115957;  0.0272407; 0.0567214]; 

full_task_term = [6.01736e-05;  0.136479; 0.00315081;  0.057731; 0.193475;   0.0454106; 0.241939; 0.0962196;  0.00730263; 0.0217733];
full_act_term  = [0.0197878; 0.0187779; 0.024757;  0.0280211;    0.0289536;  0.0280321; 0.0380396; 0.0163134;  0.0308703; 0.0278081];
full_cost      = [0.0291033; 0.159391; 0.0357921;  0.0999473;    0.226936;   0.08009; 0.285829; 0.117022;  0.0562729; 0.061272];

task_weight = 5;
task_diff = sqrt(syn_8_task_term/task_weight) - sqrt(full_task_term/task_weight);
display('mean difference in cm')
mean(task_diff) * 100
std(task_diff) * 100

display('mean ratio between synergies effort and full-dimensional effort');
mean(syn_8_act_term./full_act_term)
display('standart deviation');
std(syn_8_act_term./full_act_term)

display('the effort term accounts on average for this percentage of the overall cost: ');
0.5 * (mean(syn_8_act_term)/mean(syn_8_cost) + ...
mean(full_act_term)/mean(full_cost))