for layer 0 mse: 
---------------------------------------------------- 
sum bound: 10.989649013002573
sum sngs: 473.2738842048459
Elapsed time: 97.64786791801453
---------------------------------------------------- 
for layer 1 mse: 
---------------------------------------------------- 
sum bound: 95.45919862313708
sum sngs: 738.7997525551241
Elapsed time: 104.94471740722656
---------------------------------------------------- 
for layer 2 mse: 
---------------------------------------------------- 
sum bound: 57610.39859939142
sum sngs: 492.79574681978465
Elapsed time: 110.4671528339386
---------------------------------------------------- 
