precompute 13.4 s
0.139:0.1396 ['[0.3450235421752596790654685, 0.3450235421752596790654685]', '[0.4181576904896258063309546, 0.4181576904896258063309546]', 0.9]
0.10:0.1004 ['[0.1811273586984509714579779, 0.1811273586984509714579779]', '[0.2455554834233618435675374, 0.2455554834233618435675374]', 1.0]
0.2:0.2008 ['[0.5015269936422553802158865, 0.5015269936422553802158865]', '[0.5920548538563448843719675, 0.5920548538563448843719675]', 0.9]
