nuderiv_test.java running 
 testing  npoint=4
x[0]=1.0000, y=2.6000, y'=-0.4000, y''=-0.2000, y'''=-0.6000
x[1]=2.0000, y=2.0000, y'=-0.9000, y''=-0.8000, y'''=-0.6000
x[2]=4.0000, y=-2.2000, y'=-3.7000, y''=-2.0000, y'''=-0.6000
x[3]=7.0000, y=-25.0000, y'=-12.4000, y''=-3.8000, y'''=-0.6000
testing order=1, npoint=4, point=0
nu c[0]=-1.5000
nu c[1]=1.8000
nu c[2]=-0.3333
nu c[3]=0.0333
order=1, npoint=4, point=0, yp=-0.4000, nuyp=-0.4000, err=1.67E-16
testing order=1, npoint=4, point=1
nu c[0]=-0.5556
nu c[1]=0.3000
nu c[2]=0.2778
nu c[3]=-0.0222
order=1, npoint=4, point=1, yp=-0.9000, nuyp=-0.9000, err=5.55E-16
testing order=1, npoint=4, point=2
nu c[0]=0.3333
nu c[1]=-0.9000
nu c[2]=0.5000
nu c[3]=0.0667
order=1, npoint=4, point=2, yp=-3.7000, nuyp=-3.7000, err=1.78E-15
testing order=1, npoint=4, point=3
nu c[0]=-0.8333
nu c[1]=1.8000
nu c[2]=-1.6667
nu c[3]=0.7000
order=1, npoint=4, point=3, yp=-12.4000, nuyp=-12.4000, err=7.11E-15
testing order=2, npoint=4, point=0
nu c[0]=1.1111
nu c[1]=-1.8000
nu c[2]=0.7778
nu c[3]=-0.0889
order=2, npoint=4, point=0, ypp=-0.2000, nuyp=-0.2000, err=2.22E-16
testing order=2, npoint=4, point=1
nu c[0]=0.7778
nu c[1]=-1.2000
nu c[2]=0.4444
nu c[3]=-0.0222
order=2, npoint=4, point=1, ypp=-0.8000, nuyp=-0.8000, err=4.44E-16
testing order=2, npoint=4, point=2
nu c[0]=0.1111
nu c[1]=-0.0000
nu c[2]=-0.2222
nu c[3]=0.1111
order=2, npoint=4, point=2, ypp=-2.0000, nuyp=-2.0000, err=1.33E-15
testing order=2, npoint=4, point=3
nu c[0]=-0.8889
nu c[1]=1.8000
nu c[2]=-1.2222
nu c[3]=0.3111
order=2, npoint=4, point=3, ypp=-3.8000, nuyp=-3.8000, err=1.33E-15
testing order=3, npoint=4, point=0
nu c[0]=-0.3333
nu c[1]=0.6000
nu c[2]=-0.3333
nu c[3]=0.0667
order=3, npoint=4, point=0, yppp=-0.6000, nuyp=-0.6000, err=5.55E-16
testing order=3, npoint=4, point=1
nu c[0]=-0.3333
nu c[1]=0.6000
nu c[2]=-0.3333
nu c[3]=0.0667
order=3, npoint=4, point=1, yppp=-0.6000, nuyp=-0.6000, err=5.55E-16
testing order=3, npoint=4, point=2
nu c[0]=-0.3333
nu c[1]=0.6000
nu c[2]=-0.3333
nu c[3]=0.0667
order=3, npoint=4, point=2, yppp=-0.6000, nuyp=-0.6000, err=5.55E-16
testing order=3, npoint=4, point=3
nu c[0]=-0.3333
nu c[1]=0.6000
nu c[2]=-0.3333
nu c[3]=0.0667
order=3, npoint=4, point=3, yppp=-0.6000, nuyp=-0.6000, err=5.55E-16
 
 testing  npoint=5
x[0]=1.0000, y=2.5520, y'=-0.4420, y''=-0.0760, y'''=-0.2520, y''''=0.0480
x[1]=2.0000, y=2.0320, y'=-0.6360, y''=-0.3040, y'''=-0.2040, y''''=0.0480
x[2]=4.0000, y=-0.0880, y'=-1.5880, y''=-0.6160, y'''=-0.1080, y''''=0.0480
x[3]=7.0000, y=-7.9480, y'=-3.7060, y''=-0.7240, y'''=0.0360, y''''=0.0480
x[4]=8.5000, y=-14.2911, y'=-4.7245, y''=-0.6160, y'''=0.1080, y''''=0.0480
testing order=1, npoint=5, point=0
nu c[0]=-1.6333
nu c[1]=2.0769
nu c[2]=-0.5556
nu c[3]=0.1667
nu c[4]=-0.0547
order=1, npoint=5, point=0, yp=-0.4420, nuyp=-0.4420, err=-1.11E-16
testing order=1, npoint=5, point=1
nu c[0]=-0.4815
nu c[1]=0.1462
nu c[2]=0.4012
nu c[3]=-0.0963
nu c[4]=0.0304
order=1, npoint=5, point=1, yp=-0.6360, nuyp=-0.6360, err=2.22E-16
testing order=1, npoint=5, point=2
nu c[0]=0.2000
nu c[1]=-0.6231
nu c[2]=0.2778
nu c[3]=0.2000
nu c[4]=-0.0547
order=1, npoint=5, point=2, yp=-1.5880, nuyp=-1.5880, err=-1.55E-15
testing order=1, npoint=5, point=3
nu c[0]=-0.1667
nu c[1]=0.4154
nu c[2]=-0.5556
nu c[3]=0.0333
nu c[4]=0.2735
order=1, npoint=5, point=3, yp=-3.7060, nuyp=-3.7060, err=-1.51E-14
testing order=1, npoint=5, point=4
nu c[0]=0.3250
nu c[1]=-0.7788
nu c[2]=0.9028
nu c[3]=-1.6250
nu c[4]=1.1761
order=1, npoint=5, point=4, yp=-4.7245, nuyp=-4.7245, err=1.07E-14
testing order=2, npoint=5, point=0
nu c[0]=1.5111
nu c[1]=-2.6308
nu c[2]=1.4444
nu c[3]=-0.4889
nu c[4]=0.1641
order=2, npoint=5, point=0, ypp=-0.0760, nuyp=-0.0760, err=-8.05E-16
testing order=2, npoint=5, point=1
nu c[0]=0.8222
nu c[1]=-1.2923
nu c[2]=0.5185
nu c[3]=-0.0667
nu c[4]=0.0182
order=2, npoint=5, point=1, ypp=-0.3040, nuyp=-0.3040, err=-1.11E-15
testing order=2, npoint=5, point=2
nu c[0]=-0.0222
nu c[1]=0.2769
nu c[2]=-0.4444
nu c[3]=0.2444
nu c[4]=-0.0547
order=2, npoint=5, point=2, ypp=-0.6160, nuyp=-0.6160, err=-3.33E-16
testing order=2, npoint=5, point=3
nu c[0]=0.0444
nu c[1]=-0.1385
nu c[2]=0.3333
nu c[3]=-0.6222
nu c[4]=0.3829
order=2, npoint=5, point=3, ypp=-0.7240, nuyp=-0.7240, err=-5.11E-15
testing order=2, npoint=5, point=4
nu c[0]=0.6778
nu c[1]=-1.5923
nu c[2]=1.7222
nu c[3]=-1.6556
nu c[4]=0.8479
order=2, npoint=5, point=4, ypp=-0.6160, nuyp=-0.6160, err=-1.04E-14
testing order=3, npoint=5, point=0
nu c[0]=-0.7778
nu c[1]=1.5231
nu c[2]=-1.0741
nu c[3]=0.5111
nu c[4]=-0.1823
order=3, npoint=5, point=0, yppp=-0.2520, nuyp=-0.2520, err=1.11E-15
testing order=3, npoint=5, point=1
nu c[0]=-0.6000
nu c[1]=1.1538
nu c[2]=-0.7778
nu c[3]=0.3333
nu c[4]=-0.1094
order=3, npoint=5, point=1, yppp=-0.2040, nuyp=-0.2040, err=-2.78E-17
testing order=3, npoint=5, point=2
nu c[0]=-0.2444
nu c[1]=0.4154
nu c[2]=-0.1852
nu c[3]=-0.0222
nu c[4]=0.0365
order=3, npoint=5, point=2, yppp=-0.1080, nuyp=-0.1080, err=-4.44E-16
testing order=3, npoint=5, point=3
nu c[0]=0.2889
nu c[1]=-0.6923
nu c[2]=0.7037
nu c[3]=-0.5556
nu c[4]=0.2553
order=3, npoint=5, point=3, yppp=0.0360, nuyp=0.0360, err=-1.33E-15
testing order=3, npoint=5, point=4
nu c[0]=0.5556
nu c[1]=-1.2462
nu c[2]=1.1481
nu c[3]=-0.8222
nu c[4]=0.3647
order=3, npoint=5, point=4, yppp=0.1080, nuyp=0.1080, err=-1.39E-15
testing order=4, npoint=5, point=0
nu c[0]=0.1778
nu c[1]=-0.3692
nu c[2]=0.2963
nu c[3]=-0.1778
nu c[4]=0.0729
order=4, npoint=5, point=0, ypppp=0.0480, nuyp=0.0480, err=-2.64E-16
testing order=4, npoint=5, point=1
nu c[0]=0.1778
nu c[1]=-0.3692
nu c[2]=0.2963
nu c[3]=-0.1778
nu c[4]=0.0729
order=4, npoint=5, point=1, ypppp=0.0480, nuyp=0.0480, err=-2.64E-16
testing order=4, npoint=5, point=2
nu c[0]=0.1778
nu c[1]=-0.3692
nu c[2]=0.2963
nu c[3]=-0.1778
nu c[4]=0.0729
order=4, npoint=5, point=2, ypppp=0.0480, nuyp=0.0480, err=-2.64E-16
testing order=4, npoint=5, point=3
nu c[0]=0.1778
nu c[1]=-0.3692
nu c[2]=0.2963
nu c[3]=-0.1778
nu c[4]=0.0729
order=4, npoint=5, point=3, ypppp=0.0480, nuyp=0.0480, err=-2.64E-16
testing order=4, npoint=5, point=4
nu c[0]=0.1778
nu c[1]=-0.3692
nu c[2]=0.2963
nu c[3]=-0.1778
nu c[4]=0.0729
order=4, npoint=5, point=4, ypppp=0.0480, nuyp=0.0480, err=-2.64E-16