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f= [x]->[2.0*sin(x)]
f( 0.4 )=7.7884e-01
df( 0.4 )=1.8421e+00 df (FD)=1.8421e+00
d2f( 0.4 )=-7.7884e-01 d2f (FD)=-7.7884e-01
f= [x]->[2.0*cos(x)]
f( 0.4 )=1.8421e+00
df( 0.4 )=-7.7884e-01 df (FD)=-7.7884e-01
d2f( 0.4 )=-1.8421e+00 d2f (FD)=-1.8421e+00
f= [x]->[2.0*tan(x)]
f( 0.4 )=8.4559e-01
df( 0.4 )=2.3575e+00 df (FD)=2.3575e+00
d2f( 0.4 )=1.9935e+00 d2f (FD)=1.9935e+00
f= [x]->[2.0*asin(x)]
f( 0.4 )=8.2303e-01
df( 0.4 )=2.1822e+00 df (FD)=2.1822e+00
d2f( 0.4 )=1.0391e+00 d2f (FD)=1.0391e+00
f= [x]->[2.0*acos(x)]
f( 0.4 )=2.3186e+00
df( 0.4 )=-2.1822e+00 df (FD)=-2.1822e+00
d2f( 0.4 )=-1.0391e+00 d2f (FD)=-1.0391e+00
f= [x]->[2.0*atan(x)]
f( 0.4 )=7.6101e-01
df( 0.4 )=1.7241e+00 df (FD)=1.7241e+00
d2f( 0.4 )=-1.1891e+00 d2f (FD)=-1.1891e+00
f= [x]->[2.0*sinh(x)]
f( 0.4 )=8.2150e-01
df( 0.4 )=2.1621e+00 df (FD)=2.1621e+00
d2f( 0.4 )=8.2150e-01 d2f (FD)=8.2150e-01
f= [x]->[2.0*cosh(x)]
f( 0.4 )=2.1621e+00
df( 0.4 )=8.2150e-01 df (FD)=8.2150e-01
d2f( 0.4 )=2.1621e+00 d2f (FD)=2.1621e+00
f= [x]->[2.0*tanh(x)]
f( 0.4 )=7.5990e-01
df( 0.4 )=1.7113e+00 df (FD)=1.7113e+00
d2f( 0.4 )=-1.3004e+00 d2f (FD)=-1.3004e+00
f= [x]->[2.0*asinh(x)]
f( 0.4 )=7.8007e-01
df( 0.4 )=1.8570e+00 df (FD)=1.8570e+00
d2f( 0.4 )=-6.4033e-01 d2f (FD)=-6.4033e-01
f= [x]->[2.0*acosh(x)]
f( 1.4 )=1.7340e+00
df( 1.4 )=2.0412e+00 df (FD)=2.0412e+00
d2f( 1.4 )=-2.9768e+00 d2f (FD)=-2.9768e+00
f= [x]->[2.0*atanh(x)]
f( 0.4 )=8.4730e-01
df( 0.4 )=2.3810e+00 df (FD)=2.3810e+00
d2f( 0.4 )=2.2676e+00 d2f (FD)=2.2676e+00
f= [x]->[2.0*log2(x)]
f( 0.4 )=-2.6439e+00
df( 0.4 )=7.2135e+00 df (FD)=7.2135e+00
d2f( 0.4 )=-1.8034e+01 d2f (FD)=-1.8034e+01
f= [x]->[2.0*log10(x)]
f( 0.4 )=-7.9588e-01
df( 0.4 )=2.1715e+00 df (FD)=2.1715e+00
d2f( 0.4 )=-5.4287e+00 d2f (FD)=-5.4287e+00
f= [x]->[2.0*log(x)]
f( 0.4 )=-1.8326e+00
df( 0.4 )=5.0000e+00 df (FD)=5.0000e+00
d2f( 0.4 )=-1.2500e+01 d2f (FD)=-1.2500e+01
f= [x]->[2.0*ln(x)]
f( 0.4 )=-1.8326e+00
df( 0.4 )=5.0000e+00 df (FD)=5.0000e+00
d2f( 0.4 )=-1.2500e+01 d2f (FD)=-1.2500e+01
f= [x]->[2.0*lngamma(x)]
f( 0.4 )=1.5934e+00
f= [x]->[2.0*gamma(x)]
f( 0.4 )=4.4363e+00
f= [x]->[2.0*exp(x)]
f( 0.4 )=2.9836e+00
df( 0.4 )=2.9836e+00 df (FD)=2.9836e+00
d2f( 0.4 )=2.9836e+00 d2f (FD)=2.9836e+00
f= [x]->[2.0*erf(x)]
f( 0.4 )=8.5678e-01
df( 0.4 )=1.9231e+00 df (FD)=1.9231e+00
d2f( 0.4 )=-1.5385e+00 d2f (FD)=-1.5385e+00
f= [x]->[2.0*erfc(x)]
f( 0.4 )=1.1432e+00
df( 0.4 )=-1.9231e+00 df (FD)=-1.9231e+00
d2f( 0.4 )=1.5385e+00 d2f (FD)=1.5385e+00
f= [x]->[2.0*sqrt(x)]
f( 0.4 )=1.2649e+00
df( 0.4 )=1.5811e+00 df (FD)=1.5811e+00
d2f( 0.4 )=-1.9764e+00 d2f (FD)=-1.9764e+00
f= [x]->[2.0*cbrt(x)]
f( 0.4 )=1.4736e+00
df( 0.4 )=1.2280e+00 df (FD)=1.2280e+00
d2f( 0.4 )=-2.0467e+00 d2f (FD)=-2.0467e+00
f= [x]->[2.0*besselJ0(x)]
f( 0.4 )=1.9208e+00
df( 0.4 )=-3.9205e-01 df (FD)=-3.9205e-01
d2f( 0.4 )=-9.4066e-01 d2f (FD)=-9.4066e-01
f= [x]->[2.0*besselJ1(x)]
f( 0.4 )=3.9205e-01
df( 0.4 )=9.4066e-01 df (FD)=9.4066e-01
d2f( 0.4 )=-2.9338e-01 d2f (FD)=-2.9338e-01
f= [x]->[2.0*besselY0(x)]
f( 0.4 )=-1.2120e+00
df( 0.4 )=3.5617e+00 df (FD)=3.5617e+00
d2f( 0.4 )=-7.6923e+00 d2f (FD)=-7.6923e+00
f= [x]->[2.0*besselY1(x)]
f( 0.4 )=-3.5617e+00
df( 0.4 )=7.6923e+00 df (FD)=7.6923e+00
d2f( 0.4 )=-3.7930e+01 d2f (FD)=-3.7930e+01
f= [x]->[2.0*sign(x)]
f( 0.4 )=2.0000e+00
df( 0.4 )=0.0000e+00 df (FD)=0.0000e+00
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*rint(x)]
f( 0.4 )=0.0000e+00
df( 0.4 )=0.0000e+00 df (FD)=0.0000e+00
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*abs(x)]
f( 0.4 )=8.0000e-01
df( 0.4 )=2.0000e+00 df (FD)=2.0000e+00
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*floor(x)]
f( 0.4 )=0.0000e+00
df( 0.4 )=1.0000e+00 df (FD)=0.0000e+00
GRADIENT ERROR! check floor gradient, err= 1.0
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*ceil(x)]
f( 0.4 )=2.0000e+00
df( 0.4 )=1.0000e+00 df (FD)=0.0000e+00
GRADIENT ERROR! check ceil gradient, err= 1.0
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*trunc(x)]
f( 0.4 )=0.0000e+00
df( 0.4 )=1.0000e+00 df (FD)=0.0000e+00
GRADIENT ERROR! check trunc gradient, err= 1.0
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
f= [x]->[2.0*round(x)]
f( 0.4 )=0.0000e+00
df( 0.4 )=1.0000e+00 df (FD)=0.0000e+00
GRADIENT ERROR! check round gradient, err= 1.0
d2f( 0.4 )=0.0000e+00 d2f (FD)=0.0000e+00
marginal 0= [x0,x1]->[x0+x1]
marginal 1= [x0,x1]->[x0-x1]
First reference value : 2.8794e+00
First result calculated : 2.8794e+00
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