test_nuderiv3d.c running 
test f1 for dx, dy, dz 
f1, fx1, order=1, n=  4, maxerr=5.55112e-14
f1, fy1, order=1, n=  4, maxerr=3.95239e-14
f1, fz1, order=1, n=  4, maxerr=3.9968e-15
test f2 for dx, dy, dz, dxx, dxy. dxz, dyy, dyz, dzz 
f2, fx2, order=2, n= 10, maxerr=1.60227e-12
f2, fy2, order=2, n= 10, maxerr=5.7252e-12
f2, fz2, order=2, n= 10, maxerr=4.28102e-13
f2, fxx2, order=2, n= 10, maxerr=3.12639e-13
f2, fxy2, order=2, n= 10, maxerr=6.22391e-12
f2, fxz2, order=2, n= 10, maxerr=2.76668e-13
f2, fyy2, order=2, n= 10, maxerr=7.07701e-12
f2, fyz2, order=2, n= 10, maxerr=1.40155e-12
f2, fzz2, order=2, n= 10, maxerr=1.27898e-13
test f3 for dx, dy, dz, dxx, dxy. dxz, dyy, dyz, dzz 
 dxxx, dxxy, dxxz, dxyy, dxyz. dxzz, dyyy, dyyz, dyzz, dzzz 
f3, fx3, order=3, n= 20, maxerr=1.37206e-11
f3, fy3, order=3, n= 20, maxerr=2.78888e-11
f3, fz3, order=3, n= 20, maxerr=1.28182e-11
f3, fxx3, order=3, n= 20, maxerr=1.97709e-11
f3, fyy3, order=3, n= 20, maxerr=8.18119e-11
f3, fxxx3, order=3, n= 20, maxerr=1.32179e-11
f3, fxxy3, order=3, n= 20, maxerr=3.84404e-12
f3, fxxz3, order=3, n= 20, maxerr=1.03499e-11
f3, fxyy3, order=3, n= 20, maxerr=4.74429e-11
f3, fxyz3, order=3, n= 20, maxerr=6.63114e-12
f3, fxzz3, order=3, n= 20, maxerr=2.46381e-12
f3, fyyy3, order=3, n= 20, maxerr=2.1366e-10
f3, fyyz3, order=3, n= 20, maxerr=5.42588e-11
f3, fyzz3, order=3, n= 20, maxerr=1.01572e-11
f3, fzzz3, order=3, n= 20, maxerr=7.80176e-12
test_nuderiv3d.c finished