Results of Elementary Functions I

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DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
4.2.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{z} = \int_{1}^{z}\frac{\diff{t}}{t}}
\Ln@@{z} = \int_{1}^{z}\frac{\diff{t}}{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z \neq 0} 
ln(z) = int((1)/(t), t = 1..z)

Log[z] == Integrate[Divide[1,t], {t, 1, z}, GenerateConditions->None]
Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.2.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{z} = \int_{1}^{z}\frac{\diff{t}}{t}}
\ln@@{z} = \int_{1}^{z}\frac{\diff{t}}{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(z) = int((1)/(t), t = 1..z)

Log[z] == Integrate[Divide[1,t], {t, 1, z}, GenerateConditions->None]
Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.2.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{z} = \ln@@{\abs{z}}+\iunit\phase@@{z}}
\ln@@{z} = \ln@@{\abs{z}}+\iunit\phase@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi < \phase@@{z}, \phase@@{z} < \pi} 
ln(z) = ln(abs(z))+ I*argument(z)

Log[z] == Log[Abs[z]]+ I*Arg[z]
Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.2.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = x}
z = x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < 0} 
(x + y*I) = x
 
(x + y*I) == x
 Skipped - no semantic math Skipped - no semantic math - -
4.2.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{z} = \ln@@{\abs{z}}+\iunit\phase@@{z}}
\ln@@{z} = \ln@@{\abs{z}}+\iunit\phase@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi < \phase@@{z}, \phase@@{z} \leq \pi} 
ln(z) = ln(abs(z))+ I*argument(z)

Log[z] == Log[Abs[z]]+ I*Arg[z]
Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.2.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{z} = \ln@@{z}+2k\pi\iunit}
\Ln@@{z} = \ln@@{z}+2k\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(z) = ln(z)+ 2*k*Pi*I

Log[z] == Log[z]+ 2*k*Pi*I
Failure Failure
Failed [21 / 21]
Result: -6.283185308*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 1}


Result: -12.56637062*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 2}


Result: -18.84955592*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 3}


Result: -6.283185308*I
Test Values: {z = -1/2+1/2*I*3^(1/2), k = 1}

... skip entries to safe data
Failed [21 / 21]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: Complex[0.0, -12.566370614359172]
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.2.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{x+\iunit 0} = \ln@@{|x|}+ i\pi}
\ln@{x+\iunit 0} = \ln@@{|x|}+ i\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < 0} 
ln(x + I*0) = ln(abs(x))+ I*Pi

Log[x + I*0] == Log[Abs[x]]+ I*Pi
Failure Successful Error Skip - symbolical successful subtest
4.2.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{x-\iunit 0} = \ln@@{|x|}- i\pi}
\ln@{x-\iunit 0} = \ln@@{|x|}- i\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < 0} 
ln(x - I*0) = ln(abs(x))- I*Pi

Log[x - I*0] == Log[Abs[x]]- I*Pi
Failure Failure Error Skip - No test values generated
4.2.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{a}@@{z} = \ifrac{\ln@@{z}}{\ln@@{a}}}
\genlog{a}@@{z} = \ifrac{\ln@@{z}}{\ln@@{a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[a](z) = (ln(z))/(ln(a))

Log[a,z] == Divide[Log[z],Log[a]]
Successful Successful - Successful [Tested: 42]
4.2.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{a}@@{z} = \frac{\genlog{b}@@{z}}{\genlog{b}@@{a}}}
\genlog{a}@@{z} = \frac{\genlog{b}@@{z}}{\genlog{b}@@{a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[a](z) = (log[b](z))/(log[b](a))

Log[a,z] == Divide[Log[b,z],Log[b,a]]
Successful Successful - Successful [Tested: 252]
4.2.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{a}@@{b} = \frac{1}{\genlog{b}@@{a}}}
\genlog{a}@@{b} = \frac{1}{\genlog{b}@@{a}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[a](b) = (1)/(log[b](a))

Log[a,b] == Divide[1,Log[b,a]]
Successful Successful - Successful [Tested: 36]
4.2.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e = 2.71828\ 18284\ 59045\ 23536\dots}
e = 2.71828\ 18284\ 59045\ 23536\dots		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(1) = 2.71828182845904523536

E == 2.71828182845904523536
Successful Successful - Successful [Tested: 1]
4.2.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{e} = 1}
\ln@@{e} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(exp(1)) = 1

Log[E] == 1
Successful Successful - Successful [Tested: 1]
4.2.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{1}^{e}\frac{\diff{t}}{t} = 1}
\int_{1}^{e}\frac{\diff{t}}{t} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((1)/(t), t = 1..exp(1)) = 1

Integrate[Divide[1,t], {t, 1, E}, GenerateConditions->None] == 1
Successful Successful - Successful [Tested: 1]
4.2.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{e}@@{z} = \ln@@{z}}
\genlog{e}@@{z} = \ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[exp(1)](z) = ln(z)

Log[E,z] == Log[z]
Successful Successful - Successful [Tested: 7]
4.2.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{10}@@{z} = \ifrac{(\ln@@{z})}{(\ln@@{10})}}
\genlog{10}@@{z} = \ifrac{(\ln@@{z})}{(\ln@@{10})}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[10](z) = (ln(z))/(ln(10))

Log[10,z] == Divide[Log[z],Log[10]]
Successful Successful - Successful [Tested: 7]
4.2.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ifrac{(\ln@@{z})}{(\ln@@{10})} = (\genlog{10}@@{e})\ln@@{z}}
\ifrac{(\ln@@{z})}{(\ln@@{10})} = (\genlog{10}@@{e})\ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(ln(z))/(ln(10)) = (log[10](exp(1)))*ln(z)

Divide[Log[z],Log[10]] == (Log[10,E])*Log[z]
Successful Successful - Successful [Tested: 7]
4.2.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{z} = (\ln@@{10})\genlog{10}@@{z}}
\ln@@{z} = (\ln@@{10})\genlog{10}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(z) = (ln(10))*log[10](z)

Log[z] == (Log[10])*Log[10,z]
Successful Successful - Successful [Tested: 7]
4.2.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genlog{10}@@{e} = 0.43429\ 44819\ 03251\ 82765\dots}
\genlog{10}@@{e} = 0.43429\ 44819\ 03251\ 82765\dots		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
log[10](exp(1)) = 0.43429448190325182765

Log[10,E] == 0.43429448190325182765
Failure Successful Successful [Tested: 0] Successful [Tested: 1]
4.2.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{10} = 2.30258\ 50929\ 94045\ 68401\dots}
\ln@@{10} = 2.30258\ 50929\ 94045\ 68401\dots		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(10) = 2.30258509299404568401

Log[10] == 2.30258509299404568401
Successful Successful - Successful [Tested: 1]
4.2.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@{z+2\pi i} = \exp@@{z}}
\exp@{z+2\pi i} = \exp@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(z + 2*Pi*I) = exp(z)

Exp[z + 2*Pi*I] == Exp[z]
Successful Successful - Successful [Tested: 7]
4.2.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@{-z} = 1/\exp@{z}}
\exp@{-z} = 1/\exp@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- z) = 1/exp(z)

Exp[- z] == 1/Exp[z]
Successful Successful - Successful [Tested: 7]
4.2.E22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\exp@@{z}| = \exp@{\realpart@@{z}}}
|\exp@@{z}| = \exp@{\realpart@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(exp(z)) = exp(Re(z))

Abs[Exp[z]] == Exp[Re[z]]
Successful Successful - Successful [Tested: 7]
4.2.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase@{\exp@@{z}} = \imagpart@@{z}+2k\pi}
\phase@{\exp@@{z}} = \imagpart@@{z}+2k\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
argument(exp(z)) = Im(z)+ 2*k*Pi

Arg[Exp[z]] == Im[z]+ 2*k*Pi
Failure Failure
Failed [21 / 21]
Result: -6.283185308
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 1, k = 3}


Result: -12.56637062
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 2, k = 3}


Result: -18.84955592
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 3, k = 3}


Result: -6.283185308
Test Values: {z = -1/2+1/2*I*3^(1/2), k = 1, k = 3}

... skip entries to safe data
Failed [7 / 7]
Result: -18.84955592153876
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}


Result: -18.84955592153876
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.2.E24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{z} = e^{x}\cos@@{y}+ie^{x}\sin@@{y}}
\exp@@{z} = e^{x}\cos@@{y}+ie^{x}\sin@@{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(x + y*I) = exp(x)*cos(y)+ I*exp(x)*sin(y)

Exp[x + y*I] == Exp[x]*Cos[y]+ I*Exp[x]*Sin[y]
Successful Successful - Successful [Tested: 18]
4.2.E26 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z^{a} = \exp@{a\Ln@@{z}}}
z^{a} = \exp@{a\Ln@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z \neq 0} 
(z)^(a) = exp(a*ln(z))

(z)^(a) == Exp[a*Log[z]]
Successful Successful - Successful [Tested: 42]
4.2.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z^{a} = \exp@{a\ln@@{z}}}
z^{a} = \exp@{a\ln@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(z)^(a) = exp(a*ln(z))

(z)^(a) == Exp[a*Log[z]]
Successful Successful - Successful [Tested: 42]
4.2.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z^{a}| = |z|^{\realpart@@{a}}\exp@{-(\imagpart@@{a})\phase@@{z}}}
|z^{a}| = |z|^{\realpart@@{a}}\exp@{-(\imagpart@@{a})\phase@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs((z)^(a)) = (abs(z))^(Re(a))* exp(-(Im(a))*argument(z))

Abs[(z)^(a)] == (Abs[z])^(Re[a])* Exp[-(Im[a])*Arg[z]]
Failure Failure Successful [Tested: 42] Successful [Tested: 42]
4.2.E30 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase@{z^{a}} = (\realpart@@{a})\phase@@{z}+(\imagpart@@{a})\ln@@{|z|}}
\phase@{z^{a}} = (\realpart@@{a})\phase@@{z}+(\imagpart@@{a})\ln@@{|z|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
argument((z)^(a)) = (Re(a))*argument(z)+(Im(a))*ln(abs(z))

Arg[(z)^(a)] == (Re[a])*Arg[z]+(Im[a])*Log[Abs[z]]
Failure Failure
Failed [6 / 42]
Result: -6.283185308
Test Values: {a = -1.5, z = -1/2*3^(1/2)-1/2*I}


Result: 6.283185308
Test Values: {a = 1.5, z = -1/2*3^(1/2)-1/2*I}


Result: 6.283185307
Test Values: {a = -2, z = -1/2+1/2*I*3^(1/2)}


Result: -6.283185309
Test Values: {a = -2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [6 / 42]
Result: -6.283185307179586
Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

Result: 6.283185307179586
Test Values: {Rule[a, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
4.2#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z^{a}| = |z|^{a}}
|z^{a}| = |z|^{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs((z)^(a)) = (abs(z))^(a)
 
Abs[(z)^(a)] == (Abs[z])^(a)
 Skipped - no semantic math Skipped - no semantic math - -
4.2#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase@{z^{a}} = a\phase@@{z}}
\phase@{z^{a}} = a\phase@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
argument((z)^(a)) = a*argument(z)
 
Arg[(z)^(a)] == a*Arg[z]
 Failure Failure
Failed [6 / 42]
Result: -6.283185308
Test Values: {a = -1.5, z = -1/2*3^(1/2)-1/2*I}

Result: 6.283185308
Test Values: {a = 1.5, z = -1/2*3^(1/2)-1/2*I}

Result: 6.283185307
Test Values: {a = -2, z = -1/2+1/2*I*3^(1/2)}

Result: -6.283185309
Test Values: {a = -2, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [6 / 42]
Result: -6.283185307179586
Test Values: {Rule[a, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

Result: 6.283185307179586
Test Values: {Rule[a, 1.5], Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

... skip entries to safe data
4.2.E32 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{z} = \exp@@{z}}
e^{z} = \exp@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(z) = exp(z)
 
Exp[z] == Exp[z]
 Successful Successful - Successful [Tested: 7]
4.2.E33 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{z} = (\exp@@{z})\exp@{2kz\pi\iunit}}
e^{z} = (\exp@@{z})\exp@{2kz\pi\iunit}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(z) = (exp(z))*exp(2*k*z*Pi*I)
 
Exp[z] == (Exp[z])*Exp[2*k*z*Pi*I]
 Failure Failure
Failed [16 / 21]
Result: 1.989606315+1.174241786*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 1, k = 3}

Result: 2.084725711+1.143917762*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 2, k = 3}

Result: 2.086486474+1.139979111*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 3, k = 3}

Result: .3946493584+.4640329579*I
Test Values: {z = -1/2+1/2*I*3^(1/2), k = 1, k = 3}

... skip entries to safe data
Failed [6 / 7]
Result: Complex[2.0864864733305994, 1.139979110702337]
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.3929465878104918, 0.4620308216689905]
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.2.E36 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \imagpart@@{\left(\frac{1}{a}\Ln@@{w}\right)}}
-\pi \leq \imagpart@@{\left(\frac{1}{a}\Ln@@{w}\right)}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
- Pi <= Im((1)/(a)*ln(w))
 
- Pi <= Im[Divide[1,a]*Log[w]]
 Failure Failure
Failed [5 / 60]
Result: -3.141592654 <= -4.188790204
Test Values: {a = -.5, w = -1/2+1/2*I*3^(1/2)}

Result: -3.141592654 <= -6.283185308
Test Values: {a = -.5, w = -1.5}

Result: -3.141592654 <= -6.283185308
Test Values: {a = -.5, w = -.5}

Result: -3.141592654 <= -6.283185308
Test Values: {a = -.5, w = -2}

... skip entries to safe data
Failed [5 / 60]
Result: False
Test Values: {Rule[a, -0.5], Rule[w, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: False
Test Values: {Rule[a, -0.5], Rule[w, -1.5]}

... skip entries to safe data
4.2.E36 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@{\left(\frac{1}{a}\Ln@@{w}\right)} \leq \pi}
\imagpart@@{\left(\frac{1}{a}\Ln@@{w}\right)} \leq \pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Im((1)/(a)*ln(w)) <= Pi
 
Im[Divide[1,a]*Log[w]] <= Pi
 Failure Failure
Failed [5 / 60]
Result: 5.235987758 <= 3.141592654
Test Values: {a = -.5, w = -1/2*3^(1/2)-1/2*I}

Result: 4.188790204 <= 3.141592654
Test Values: {a = .5, w = -1/2+1/2*I*3^(1/2)}

Result: 6.283185308 <= 3.141592654
Test Values: {a = .5, w = -1.5}

Result: 6.283185308 <= 3.141592654
Test Values: {a = .5, w = -.5}

... skip entries to safe data
Failed [5 / 60]
Result: False
Test Values: {Rule[a, -0.5], Rule[w, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

Result: False
Test Values: {Rule[a, 0.5], Rule[w, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.4.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{1} = 0}
\ln@@{1} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(1) = 0
 
Log[1] == 0
 Successful Successful - Successful [Tested: 1]
4.4.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{-1+\iunit 0} = +\pi\iunit}
\ln@{-1+\iunit 0} = +\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(- 1 + I*0) = + Pi*I
 
Log[- 1 + I*0] == + Pi*I
 Successful Successful Skip - symbolical successful subtest Successful [Tested: 1]
4.4.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{-1-\iunit 0} = -\pi\iunit}
\ln@{-1-\iunit 0} = -\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(- 1 - I*0) = - Pi*I
 
Log[- 1 - I*0] == - Pi*I
 Failure Failure
Failed [1 / 1]
Result: 6.283185308*I
Test Values: {}
Failed [1 / 1]
Result: Complex[0.0, 6.283185307179586]
Test Values: {}

4.4.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{+\iunit} = +\tfrac{1}{2}\pi\iunit}
\ln@{+\iunit} = +\tfrac{1}{2}\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(+ I) = +(1)/(2)*Pi*I
 
Log[+ I] == +Divide[1,2]*Pi*I
 Successful Successful - Successful [Tested: 1]
4.4.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{-\iunit} = -\tfrac{1}{2}\pi\iunit}
\ln@{-\iunit} = -\tfrac{1}{2}\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(- I) = -(1)/(2)*Pi*I
 
Log[- I] == -Divide[1,2]*Pi*I
 Successful Successful - Successful [Tested: 1]
4.4.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{0} = 1}
e^{0} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(0) = 1
 
Exp[0] == 1
 Skipped - no semantic math Skipped - no semantic math - -
4.4.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+\pi\iunit} = -1}
e^{+\pi\iunit} = -1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ Pi*I) = - 1
 
Exp[+ Pi*I] == - 1
 Successful Successful - Successful [Tested: 1]
4.4.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-\pi\iunit} = -1}
e^{-\pi\iunit} = -1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- Pi*I) = - 1
 
Exp[- Pi*I] == - 1
 Successful Successful - Successful [Tested: 1]
4.4.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+\pi\iunit/2} = +\iunit}
e^{+\pi\iunit/2} = +\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ Pi*I/2) = + I
 
Exp[+ Pi*I/2] == + I
 Successful Successful - Successful [Tested: 1]
4.4.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-\pi\iunit/2} = -\iunit}
e^{-\pi\iunit/2} = -\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- Pi*I/2) = - I
 
Exp[- Pi*I/2] == - I
 Successful Successful - Successful [Tested: 1]
4.4.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{2\pi k\iunit} = 1}
e^{2\pi k\iunit} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(2*Pi*k*I) = 1
 
Exp[2*Pi*k*I] == 1
 Successful Successful - Successful [Tested: 1]
4.4.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+\pi\iunit/3} = \frac{1}{2}+\iunit\frac{\sqrt{3}}{2}}
e^{+\pi\iunit/3} = \frac{1}{2}+\iunit\frac{\sqrt{3}}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ Pi*I/3) = (1)/(2)+ I*(sqrt(3))/(2)
 
Exp[+ Pi*I/3] == Divide[1,2]+ I*Divide[Sqrt[3],2]
 Successful Successful - Successful [Tested: 1]
4.4.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-\pi\iunit/3} = \frac{1}{2}-\iunit\frac{\sqrt{3}}{2}}
e^{-\pi\iunit/3} = \frac{1}{2}-\iunit\frac{\sqrt{3}}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- Pi*I/3) = (1)/(2)- I*(sqrt(3))/(2)
 
Exp[- Pi*I/3] == Divide[1,2]- I*Divide[Sqrt[3],2]
 Successful Successful - Successful [Tested: 1]
4.4.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+ 2\pi\iunit/3} = -\frac{1}{2}+\iunit\frac{\sqrt{3}}{2}}
e^{+ 2\pi\iunit/3} = -\frac{1}{2}+\iunit\frac{\sqrt{3}}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ 2*Pi*I/3) = -(1)/(2)+ I*(sqrt(3))/(2)
 
Exp[+ 2*Pi*I/3] == -Divide[1,2]+ I*Divide[Sqrt[3],2]
 Successful Successful - Successful [Tested: 1]
4.4.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{- 2\pi\iunit/3} = -\frac{1}{2}-\iunit\frac{\sqrt{3}}{2}}
e^{- 2\pi\iunit/3} = -\frac{1}{2}-\iunit\frac{\sqrt{3}}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- 2*Pi*I/3) = -(1)/(2)- I*(sqrt(3))/(2)
 
Exp[- 2*Pi*I/3] == -Divide[1,2]- I*Divide[Sqrt[3],2]
 Successful Successful - Successful [Tested: 1]
4.4.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+\pi\iunit/4} = \frac{1}{\sqrt{2}}+\iunit\frac{1}{\sqrt{2}}}
e^{+\pi\iunit/4} = \frac{1}{\sqrt{2}}+\iunit\frac{1}{\sqrt{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ Pi*I/4) = (1)/(sqrt(2))+ I*(1)/(sqrt(2))
 
Exp[+ Pi*I/4] == Divide[1,Sqrt[2]]+ I*Divide[1,Sqrt[2]]
 Successful Successful - Successful [Tested: 1]
4.4.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-\pi\iunit/4} = \frac{1}{\sqrt{2}}-\iunit\frac{1}{\sqrt{2}}}
e^{-\pi\iunit/4} = \frac{1}{\sqrt{2}}-\iunit\frac{1}{\sqrt{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- Pi*I/4) = (1)/(sqrt(2))- I*(1)/(sqrt(2))
 
Exp[- Pi*I/4] == Divide[1,Sqrt[2]]- I*Divide[1,Sqrt[2]]
 Successful Successful - Successful [Tested: 1]
4.4.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{+ 3\pi\iunit/4} = -\frac{1}{\sqrt{2}}+\iunit\frac{1}{\sqrt{2}}}
e^{+ 3\pi\iunit/4} = -\frac{1}{\sqrt{2}}+\iunit\frac{1}{\sqrt{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(+ 3*Pi*I/4) = -(1)/(sqrt(2))+ I*(1)/(sqrt(2))
 
Exp[+ 3*Pi*I/4] == -Divide[1,Sqrt[2]]+ I*Divide[1,Sqrt[2]]
 Successful Successful - Successful [Tested: 1]
4.4.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{- 3\pi\iunit/4} = -\frac{1}{\sqrt{2}}-\iunit\frac{1}{\sqrt{2}}}
e^{- 3\pi\iunit/4} = -\frac{1}{\sqrt{2}}-\iunit\frac{1}{\sqrt{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(- 3*Pi*I/4) = -(1)/(sqrt(2))- I*(1)/(sqrt(2))
 
Exp[- 3*Pi*I/4] == -Divide[1,Sqrt[2]]- I*Divide[1,Sqrt[2]]
 Successful Successful - Successful [Tested: 1]
4.4.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit^{+\iunit} = e^{-\pi/2}}
\iunit^{+\iunit} = e^{-\pi/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(I)^(+ I) = exp(- Pi/2)
 
(I)^(+ I) == Exp[- Pi/2]
 Successful Successful - Successful [Tested: 1]
4.4.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit^{-\iunit} = e^{+\pi/2}}
\iunit^{-\iunit} = e^{+\pi/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(I)^(- I) = exp(+ Pi/2)
 
(I)^(- I) == Exp[+ Pi/2]
 Successful Successful - Successful [Tested: 1]
4.4.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{x\to\infty}x^{-a}\ln@@{x} = 0}
\lim_{x\to\infty}x^{-a}\ln@@{x} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0} 
limit((x)^(- a)* ln(x), x = infinity) = 0
 
Limit[(x)^(- a)* Log[x], x -> Infinity, GenerateConditions->None] == 0
 Successful Successful - Successful [Tested: 3]
4.4.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{x\to 0}x^{a}\ln@@{x} = 0}
\lim_{x\to 0}x^{a}\ln@@{x} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{a} > 0} 
limit((x)^(a)* ln(x), x = 0) = 0
 
Limit[(x)^(a)* Log[x], x -> 0, GenerateConditions->None] == 0
 Failure Successful Successful [Tested: 3] Successful [Tested: 3]
4.4.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{x\to\infty}x^{a}e^{-x} = 0}
\lim_{x\to\infty}x^{a}e^{-x} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((x)^(a)* exp(- x), x = infinity) = 0
 
Limit[(x)^(a)* Exp[- x], x -> Infinity, GenerateConditions->None] == 0
 Skipped - no semantic math Skipped - no semantic math - -
4.4.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to\infty}z^{a}e^{-z} = 0}
\lim_{z\to\infty}z^{a}e^{-z} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}| \leq \tfrac{1}{2}\pi-\delta, \tfrac{1}{2}\pi-\delta < \tfrac{1}{2}\pi} 
limit((z)^(a)* exp(- z), z = infinity) = 0
 
Limit[(z)^(a)* Exp[- z], z -> Infinity, GenerateConditions->None] == 0
 Skipped - no semantic math Skipped - no semantic math - -
4.4.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{n\to\infty}\left(1+\frac{z}{n}\right)^{n} = e^{z}}
\lim_{n\to\infty}\left(1+\frac{z}{n}\right)^{n} = e^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = } 
limit((1 +(z)/(n))^(n), n = infinity) = exp(z)
 
Limit[(1 +Divide[z,n])^(n), n -> Infinity, GenerateConditions->None] == Exp[z]
 Skipped - no semantic math Skipped - no semantic math - -
4.4.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{n\to\infty}\left(1+\frac{1}{n}\right)^{n} = e}
\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^{n} = e		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((1 +(1)/(n))^(n), n = infinity) = exp(1)
 
Limit[(1 +Divide[1,n])^(n), n -> Infinity, GenerateConditions->None] == E
 Skipped - no semantic math Skipped - no semantic math - -
4.4.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{n\to\infty}\left(\left(\sum^{n}_{k=1}\frac{1}{k}\right)-\ln@@{n}\right) = \EulerConstant}
\lim_{n\to\infty}\left(\left(\sum^{n}_{k=1}\frac{1}{k}\right)-\ln@@{n}\right) = \EulerConstant		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((sum((1)/(k), k = 1..n))- ln(n), n = infinity) = gamma
 
Limit[(Sum[Divide[1,k], {k, 1, n}, GenerateConditions->None])- Log[n], n -> Infinity, GenerateConditions->None] == EulerGamma
 Successful Successful - Successful [Tested: 1]
4.4.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerConstant = 0.57721\ 56649\ 01532\ 86060\dots}
\EulerConstant = 0.57721\ 56649\ 01532\ 86060\dots		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
gamma = 0.57721566490153286060
 
EulerGamma == 0.57721566490153286060
 Successful Successful - Successful [Tested: 1]
4.5.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{x}{1+x} < \ln@{1+x}}
\frac{x}{1+x} < \ln@{1+x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > -1, x \neq 0} 
(x)/(1 + x) < ln(1 + x)
 
Divide[x,1 + x] < Log[1 + x]
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.5.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{1+x} < x}
\ln@{1+x} < x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > -1, x \neq 0} 
ln(1 + x) < x
 
Log[1 + x] < x
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.5.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < -\ln@{1-x}}
x < -\ln@{1-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1, x \neq 0} 
x < - ln(1 - x)
 
x < - Log[1 - x]
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.5.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\ln@{1-x} < \frac{x}{1-x}}
-\ln@{1-x} < \frac{x}{1-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1, x \neq 0} 
- ln(1 - x) < (x)/(1 - x)
 
- Log[1 - x] < Divide[x,1 - x]
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.5.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\ln@{1-x}| < \tfrac{3}{2}x}
|\ln@{1-x}| < \tfrac{3}{2}x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x \leq 0.5828\dots} 
abs(ln(1 - x)) < (3)/(2)*x
 
Abs[Log[1 - x]] < Divide[3,2]*x
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.5.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{x} \leq x-1}
\ln@@{x} \leq x-1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0} 
ln(x) <= x - 1
 
Log[x] <= x - 1
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.5.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{x} \leq a(x^{1/a}-1)}
\ln@@{x} \leq a(x^{1/a}-1)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a > 0, x > 0} 
ln(x) <= a*((x)^(1/a)- 1)
 
Log[x] <= a*((x)^(1/a)- 1)
 Error Failure - Successful [Tested: 9]
4.5.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\ln@{1+z}| \leq -\ln@{1-|z|}}
|\ln@{1+z}| \leq -\ln@{1-|z|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < 1} 
abs(ln(1 + z)) <= - ln(1 -abs(z))
 
Abs[Log[1 + z]] <= - Log[1 -Abs[z]]
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.5.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-x/(1-x)} < 1-x}
e^{-x/(1-x)} < 1-x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1} 
exp(- x/(1 - x)) < 1 - x
 
Exp[- x/(1 - x)] < 1 - x
 Skipped - no semantic math Failure - Successful [Tested: 1]
4.5.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1-x < e^{-x}}
1-x < e^{-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1} 
1 - x < exp(- x)
 
1 - x < Exp[- x]
 Error Failure - Successful [Tested: 1]
4.5.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1+x < e^{x}}
1+x < e^{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
1 + x < exp(x)
 
1 + x < Exp[x]
 Skipped - no semantic math Failure - Successful [Tested: 3]
4.5.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{x} < \frac{1}{1-x}}
e^{x} < \frac{1}{1-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1} 
exp(x) < (1)/(1 - x)
 
Exp[x] < Divide[1,1 - x]
 Skipped - no semantic math Failure - Successful [Tested: 1]
4.5.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{x}{1+x} < 1-e^{-x}}
\frac{x}{1+x} < 1-e^{-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > -1} 
(x)/(1 + x) < 1 - exp(- x)
 
Divide[x,1 + x] < 1 - Exp[- x]
 Skipped - no semantic math Failure - Successful [Tested: 3]
4.5.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1-e^{-x} < x}
1-e^{-x} < x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > -1} 
1 - exp(- x) < x
 
1 - Exp[- x] < x
 Error Failure - Successful [Tested: 3]
4.5.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < e^{x}-1}
x < e^{x}-1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1} 
x < exp(x)- 1
 
x < Exp[x]- 1
 Skipped - no semantic math Failure - Successful [Tested: 1]
4.5.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{x}-1 < \frac{x}{1-x}}
e^{x}-1 < \frac{x}{1-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x < 1} 
exp(x)- 1 < (x)/(1 - x)
 
Exp[x]- 1 < Divide[x,1 - x]
 Error Failure - Successful [Tested: 1]
4.5.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{x/(1+x)} < 1+x}
e^{x/(1+x)} < 1+x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > -1} 
exp(x/(1 + x)) < 1 + x
 
Exp[x/(1 + x)] < 1 + x
 Skipped - no semantic math Failure - Successful [Tested: 3]
4.5.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{xy/(x+y)} < \left(1+\frac{x}{y}\right)^{y}}
e^{xy/(x+y)} < \left(1+\frac{x}{y}\right)^{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, y > 0} 
exp(x*y/(x + y)) < (1 +(x)/(y))^(y)
 
Exp[x*y/(x + y)] < (1 +Divide[x,y])^(y)
 Skipped - no semantic math Failure - Successful [Tested: 9]
4.5.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(1+\frac{x}{y}\right)^{y} < e^{x}}
\left(1+\frac{x}{y}\right)^{y} < e^{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, y > 0} 
(1 +(x)/(y))^(y) < exp(x)
 
(1 +Divide[x,y])^(y) < Exp[x]
 Error Failure - Successful [Tested: 9]
4.5.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{-x} < 1-\tfrac{1}{2}x}
e^{-x} < 1-\tfrac{1}{2}x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x \leq 1.5936\dots} 
exp(- x) < 1 -(1)/(2)*x
 
Exp[- x] < 1 -Divide[1,2]*x
 Skipped - no semantic math Failure - Successful [Tested: 2]
4.5.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{4}|z| < |e^{z}-1|}
\tfrac{1}{4}|z| < |e^{z}-1|		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < |z|, |z| < 1} 
(1)/(4)*abs(z) < abs(exp(z)- 1)
 
Divide[1,4]*Abs[z] < Abs[Exp[z]- 1]
 Skipped - no semantic math Failure - Successful [Tested: 1]
4.5.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |e^{z}-1| < \tfrac{7}{4}|z|}
|e^{z}-1| < \tfrac{7}{4}|z|		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < |z|, |z| < 1} 
abs(exp(z)- 1) < (7)/(4)*abs(z)
 
Abs[Exp[z]- 1] < Divide[7,4]*Abs[z]
 Error Failure - Successful [Tested: 1]
4.5.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |e^{z}-1| \leq e^{|z|}-1}
|e^{z}-1| \leq e^{|z|}-1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(exp(z)- 1) <= exp(abs(z))- 1
 
Abs[Exp[z]- 1] <= Exp[Abs[z]]- 1
 Skipped - no semantic math Failure - Successful [Tested: 1]
4.5.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{|z|}-1 \leq |z|e^{|z|}}
e^{|z|}-1 \leq |z|e^{|z|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(abs(z))- 1 <= abs(z)*exp(abs(z))
 
Exp[Abs[z]]- 1 <= Abs[z]*Exp[Abs[z]]
 Error Failure - Successful [Tested: 1]
4.7.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\ln@@{z} = \frac{1}{z}}
\deriv{}{z}\ln@@{z} = \frac{1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(ln(z), z) = (1)/(z)
 
D[Log[z], z] == Divide[1,z]
 Successful Successful - Successful [Tested: 7]
4.7.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\Ln@@{z} = \frac{1}{z}}
\deriv{}{z}\Ln@@{z} = \frac{1}{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(ln(z), z) = (1)/(z)
 
D[Log[z], z] == Divide[1,z]
 Successful Successful - Successful [Tested: 7]
4.7.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}}
\deriv[n]{}{z}\ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(ln(z), [z$(n)]) = (- 1)^(n - 1)*factorial(n - 1)*(z)^(- n)
 
D[Log[z], {z, n}] == (- 1)^(n - 1)*(n - 1)!*(z)^(- n)
 Failure Failure Successful [Tested: 21] Successful [Tested: 21]
4.7.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\Ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}}
\deriv[n]{}{z}\Ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(ln(z), [z$(n)]) = (- 1)^(n - 1)*factorial(n - 1)*(z)^(- n)
 
D[Log[z], {z, n}] == (- 1)^(n - 1)*(n - 1)!*(z)^(- n)
 Failure Failure Successful [Tested: 21] Successful [Tested: 21]
4.7.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}e^{z} = e^{z}}
\deriv{}{z}e^{z} = e^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(exp(z), z) = exp(z)
 
D[Exp[z], z] == Exp[z]
 Successful Successful - Successful [Tested: 7]
4.7.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}e^{az} = ae^{az}}
\deriv{}{z}e^{az} = ae^{az}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(exp(a*z), z) = a*exp(a*z)
 
D[Exp[a*z], z] == a*Exp[a*z]
 Successful Successful - Successful [Tested: 42]
4.7.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}a^{z} = a^{z}\ln@@{a}}
\deriv{}{z}a^{z} = a^{z}\ln@@{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0} 
diff((a)^(z), z) = (a)^(z)* ln(a)
 
D[(a)^(z), z] == (a)^(z)* Log[a]
 Successful Successful - Successful [Tested: 42]
4.7.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}z^{a} = az^{a-1}}
\deriv{}{z}z^{a} = az^{a-1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff((z)^(a), z) = a*(z)^(a - 1)
 
D[(z)^(a), z] == a*(z)^(a - 1)
 Successful Successful - Successful [Tested: 42]
4.7.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[2]{w}{z} = aw}
\deriv[2]{w}{z} = aw		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0} 
diff(w, [z$(2)]) = a*w
 
D[w, {z, 2}] == a*w
 Failure Failure
Failed [300 / 300]
Result: 1.299038106+.7500000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: 1.299038106+.7500000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: 1.299038106+.7500000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: 1.299038106+.7500000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.299038105676658, 0.7499999999999999]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.299038105676658, 0.7499999999999999]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.7.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = Ae^{\sqrt{a}z}+Be^{-\sqrt{a}z}}
w = Ae^{\sqrt{a}z}+Be^{-\sqrt{a}z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
w = A*exp(sqrt(a)*z)+ B*exp(-sqrt(a)*z)
 
w == A*Exp[Sqrt[a]*z]+ B*Exp[-Sqrt[a]*z]
 Skipped - no semantic math Skipped - no semantic math - -
4.8.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@{z_{1}z_{2}} = \Ln@@{z_{1}}+\Ln@@{z_{2}}}
\Ln@{z_{1}z_{2}} = \Ln@@{z_{1}}+\Ln@@{z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(z[1]*z[2]) = ln(z[1])+ ln(z[2])
 
Log[Subscript[z, 1]*Subscript[z, 2]] == Log[Subscript[z, 1]]+ Log[Subscript[z, 2]]
 Failure Failure
Failed [25 / 100]
Result: 0.-6.283185308*I
Test Values: {z[1] = 1/2*3^(1/2)+1/2*I, z[2] = -1.5}

Result: 0.-6.283185308*I
Test Values: {z[1] = 1/2*3^(1/2)+1/2*I, z[2] = -.5}

Result: -.1e-9-6.283185308*I
Test Values: {z[1] = 1/2*3^(1/2)+1/2*I, z[2] = -2}

Result: .133199999e-10-6.283185307*I
Test Values: {z[1] = -1/2+1/2*I*3^(1/2), z[2] = -1/2+1/2*I*3^(1/2)}

... skip entries to safe data
Failed [25 / 100]
Result: Complex[0.0, -6.283185307179587]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[z, 2], -1.5]}

Result: Complex[0.0, -6.283185307179587]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[z, 2], -0.5]}

... skip entries to safe data
4.8.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{z_{1}z_{2}} = \ln@@{z_{1}}+\ln@@{z_{2}}}
\ln@{z_{1}z_{2}} = \ln@@{z_{1}}+\ln@@{z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \phase@@{z_{1}}+\phase@@{z_{2}}, \phase@@{z_{1}}+\phase@@{z_{2}} \leq \pi} 
ln(z[1]*z[2]) = ln(z[1])+ ln(z[2])
 
Log[Subscript[z, 1]*Subscript[z, 2]] == Log[Subscript[z, 1]]+ Log[Subscript[z, 2]]
 Failure Failure Successful [Tested: 59] Successful [Tested: 75]
4.8.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{\frac{z_{1}}{z_{2}}} = \Ln@@{z_{1}}-\Ln@@{z_{2}}}
\Ln@@{\frac{z_{1}}{z_{2}}} = \Ln@@{z_{1}}-\Ln@@{z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln((z[1])/(z[2])) = ln(z[1])- ln(z[2])
 
Log[Divide[Subscript[z, 1],Subscript[z, 2]]] == Log[Subscript[z, 1]]- Log[Subscript[z, 2]]
 Failure Failure
Failed [25 / 100]
Result: 0.-6.283185307*I
Test Values: {z[1] = -1/2+1/2*I*3^(1/2), z[2] = -1/2*3^(1/2)-1/2*I}

Result: 0.+6.283185307*I
Test Values: {z[1] = 1/2-1/2*I*3^(1/2), z[2] = -1/2+1/2*I*3^(1/2)}

Result: .1e-9+6.283185307*I
Test Values: {z[1] = 1/2-1/2*I*3^(1/2), z[2] = -1.5}

Result: -.1e-9+6.283185307*I
Test Values: {z[1] = 1/2-1/2*I*3^(1/2), z[2] = -.5}

... skip entries to safe data
Failed [25 / 100]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[Subscript[z, 2], Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]], Rule[Subscript[z, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.8.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\frac{z_{1}}{z_{2}}} = \ln@@{z_{1}}-\ln@@{z_{2}}}
\ln@@{\frac{z_{1}}{z_{2}}} = \ln@@{z_{1}}-\ln@@{z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \phase@@{z_{1}}-\phase@@{z_{2}}, \phase@@{z_{1}}-\phase@@{z_{2}} \leq \pi} 
ln((z[1])/(z[2])) = ln(z[1])- ln(z[2])
 
Log[Divide[Subscript[z, 1],Subscript[z, 2]]] == Log[Subscript[z, 1]]- Log[Subscript[z, 2]]
 Failure Failure
Failed [3 / 70]
Result: 0.+6.283185307*I
Test Values: {z[1] = 1/2-1/2*I*3^(1/2), z[2] = -1/2+1/2*I*3^(1/2)}

Result: 0.+6.283185308*I
Test Values: {z[1] = -1/2*3^(1/2)-1/2*I, z[2] = 1/2*3^(1/2)+1/2*I}

Result: 6.283185308*I
Test Values: {z[1] = 2, z[2] = -2}
Failed [11 / 86]
Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]], Rule[Subscript[z, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[Subscript[z, 1], Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]], Rule[Subscript[z, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.8.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@{z^{n}} = n\Ln@@{z}}
\Ln@{z^{n}} = n\Ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln((z)^(n)) = n*ln(z)
 
Log[(z)^(n)] == n*Log[z]
 Failure Failure
Failed [5 / 21]
Result: .133199999e-10-6.283185307*I
Test Values: {z = -1/2+1/2*I*3^(1/2), n = 2, n = 3}

Result: .4399599996e-9-6.283185306*I
Test Values: {z = -1/2+1/2*I*3^(1/2), n = 3, n = 3}

Result: .4399599996e-9+6.283185306*I
Test Values: {z = 1/2-1/2*I*3^(1/2), n = 3, n = 3}

Result: .133199999e-10+6.283185307*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, n = 2, n = 3}

... skip entries to safe data
Failed [3 / 7]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.8.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{z^{n}} = n\ln@@{z}}
\ln@{z^{n}} = n\ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq n\phase@@{z}, n\phase@@{z} \leq \pi} 
ln((z)^(n)) = n*ln(z)
 
Log[(z)^(n)] == n*Log[z]
 Failure Failure
Failed [1 / 17]
Result: .4399599996e-9+6.283185306*I
Test Values: {z = 1/2-1/2*I*3^(1/2), n = 3, n = 3}
Failed [3 / 7]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[n, 3], Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.8.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\frac{1}{z}} = -\ln@@{z}}
\ln@@{\frac{1}{z}} = -\ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}| \leq \pi} 
ln((1)/(z)) = - ln(z)
 
Log[Divide[1,z]] == - Log[z]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.8.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@{\exp@@{z}} = z+2k\pi\iunit}
\Ln@{\exp@@{z}} = z+2k\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln(exp(z)) = z + 2*k*Pi*I
 
Log[Exp[z]] == z + 2*k*Pi*I
 Failure Failure
Failed [21 / 21]
Result: -.1e-9-6.283185308*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 1, k = 3}

Result: -.1e-9-12.56637062*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 2, k = 3}

Result: -.1e-9-18.84955592*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, k = 3, k = 3}

Result: 0.-6.283185308*I
Test Values: {z = -1/2+1/2*I*3^(1/2), k = 1, k = 3}

... skip entries to safe data
Failed [7 / 7]
Result: Complex[0.0, -18.84955592153876]
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.0, -18.84955592153876]
Test Values: {Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.8.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{\exp@@{z}} = z}
\ln@{\exp@@{z}} = z		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \imagpart@@{z}, \imagpart@@{z} \leq \pi} 
ln(exp(z)) = z
 
Log[Exp[z]] == z
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.8.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@{\ln@@{z}} = \exp@{\Ln@@{z}}}
\exp@{\ln@@{z}} = \exp@{\Ln@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(ln(z)) = exp(ln(z))
 
Exp[Log[z]] == Exp[Log[z]]
 Successful Successful - Successful [Tested: 7]
4.8.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@{\Ln@@{z}} = z}
\exp@{\Ln@@{z}} = z		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(ln(z)) = z
 
Exp[Log[z]] == z
 Successful Successful - Successful [Tested: 7]
4.8.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@{a^{z}} = z\Ln@@{a}+2k\pi\iunit}
\Ln@{a^{z}} = z\Ln@@{a}+2k\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln((a)^(z)) = z*ln(a)+ 2*k*Pi*I
 
Log[(a)^(z)] == z*Log[a]+ 2*k*Pi*I
 Failure Failure
Failed [126 / 126]
Result: 0.-6.283185308*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 1, k = 3}

Result: 0.-12.56637062*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 2, k = 3}

Result: 0.-18.84955592*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 3, k = 3}

Result: 0.-6.283185308*I
Test Values: {a = -1.5, z = -1/2+1/2*I*3^(1/2), k = 1, k = 3}

... skip entries to safe data
Failed [42 / 42]
Result: Complex[0.0, -18.84955592153876]
Test Values: {Rule[a, -1.5], Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.0, -18.84955592153876]
Test Values: {Rule[a, -1.5], Rule[k, 3], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.8.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{a^{z}} = z\ln@@{a}+2k\pi\iunit}
\ln@{a^{z}} = z\ln@@{a}+2k\pi\iunit		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
ln((a)^(z)) = z*ln(a)+ 2*k*Pi*I
 
Log[(a)^(z)] == z*Log[a]+ 2*k*Pi*I
 Failure Failure
Failed [126 / 126]
Result: 0.-6.283185308*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 1}

Result: 0.-12.56637062*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 2}

Result: 0.-18.84955592*I
Test Values: {a = -1.5, z = 1/2*3^(1/2)+1/2*I, k = 3}

Result: 0.-6.283185308*I
Test Values: {a = -1.5, z = -1/2+1/2*I*3^(1/2), k = 1}

... skip entries to safe data
Failed [126 / 126]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[a, -1.5], Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.0, -12.566370614359172]
Test Values: {Rule[a, -1.5], Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.8.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{a^{x}} = x\ln@@{a}}
\ln@{a^{x}} = x\ln@@{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a > 0} 
ln((a)^(x)) = x*ln(a)
 
Log[(a)^(x)] == x*Log[a]
 Successful Failure - Successful [Tested: 9]
4.8.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{z_{1}}a^{z_{2}} = a^{z_{1}+z_{2}}}
a^{z_{1}}a^{z_{2}} = a^{z_{1}+z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0} 
(a)^(z[1])* (a)^(z[2]) = (a)^(z[1]+ z[2])
 
(a)^(Subscript[z, 1])* (a)^(Subscript[z, 2]) == (a)^(Subscript[z, 1]+ Subscript[z, 2])
 Skipped - no semantic math Skipped - no semantic math - -
4.8.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a^{z}b^{z} = (ab)^{z}}
a^{z}b^{z} = (ab)^{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \phase@@{a}+\phase@@{b}, \phase@@{a}+\phase@@{b} \leq \pi} 
(a)^(z)* (b)^(z) = (a*b)^(z)
 
(a)^(z)* (b)^(z) == (a*b)^(z)
 Skipped - no semantic math Skipped - no semantic math - -
4.8.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{z_{1}}e^{z_{2}} = e^{z_{1}+z_{2}}}
e^{z_{1}}e^{z_{2}} = e^{z_{1}+z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
exp(z[1])*exp(z[2]) = exp(z[1]+ z[2])
 
Exp[Subscript[z, 1]]*Exp[Subscript[z, 2]] == Exp[Subscript[z, 1]+ Subscript[z, 2]]
 Skipped - no semantic math Skipped - no semantic math - -
4.8.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (e^{z_{1}})^{z_{2}} = e^{z_{1}z_{2}}}
(e^{z_{1}})^{z_{2}} = e^{z_{1}z_{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \imagpart@@{z_{1}}, \imagpart@@{z_{1}} \leq \pi} 
(exp(z[1]))^(z[2]) = exp(z[1]*z[2])
 
(Exp[Subscript[z, 1]])^(Subscript[z, 2]) == Exp[Subscript[z, 1]*Subscript[z, 2]]
 Skipped - no semantic math Skipped - no semantic math - -
4.10.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\frac{\diff{z}}{z} = \ln@@{z}}
\int\frac{\diff{z}}{z} = \ln@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((1)/(z), z) = ln(z)
 
Integrate[Divide[1,z], z, GenerateConditions->None] == Log[z]
 Successful Successful - Successful [Tested: 7]
4.10.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\ln@@{z}\diff{z} = z\ln@@{z}-z}
\int\ln@@{z}\diff{z} = z\ln@@{z}-z		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int(ln(z), z) = z*ln(z)- z
 
Integrate[Log[z], z, GenerateConditions->None] == z*Log[z]- z
 Successful Successful - Successful [Tested: 7]
4.10.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int z^{n}\ln@@{z}\diff{z} = \frac{z^{n+1}}{n+1}\ln@@{z}-\frac{z^{n+1}}{(n+1)^{2}}}
\int z^{n}\ln@@{z}\diff{z} = \frac{z^{n+1}}{n+1}\ln@@{z}-\frac{z^{n+1}}{(n+1)^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n \neq -1} 
int((z)^(n)* ln(z), z) = ((z)^(n + 1))/(n + 1)*ln(z)-((z)^(n + 1))/((n + 1)^(2))
 
Integrate[(z)^(n)* Log[z], z, GenerateConditions->None] == Divide[(z)^(n + 1),n + 1]*Log[z]-Divide[(z)^(n + 1),(n + 1)^(2)]
 Successful Successful - Successful [Tested: 21]
4.10.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\frac{\diff{z}}{z\ln@@{z}} = \ln@{\ln@@{z}}}
\int\frac{\diff{z}}{z\ln@@{z}} = \ln@{\ln@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((1)/(z*ln(z)), z) = ln(ln(z))
 
Integrate[Divide[1,z*Log[z]], z, GenerateConditions->None] == Log[Log[z]]
 Successful Successful - Successful [Tested: 7]
4.10.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{1}\frac{\ln@@{t}}{1-t}\diff{t} = -\frac{\pi^{2}}{6}}
\int_{0}^{1}\frac{\ln@@{t}}{1-t}\diff{t} = -\frac{\pi^{2}}{6}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((ln(t))/(1 - t), t = 0..1) = -((Pi)^(2))/(6)
 
Integrate[Divide[Log[t],1 - t], {t, 0, 1}, GenerateConditions->None] == -Divide[(Pi)^(2),6]
 Successful Successful - Successful [Tested: 1]
4.10.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{1}\frac{\ln@@{t}}{1+t}\diff{t} = -\frac{\pi^{2}}{12}}
\int_{0}^{1}\frac{\ln@@{t}}{1+t}\diff{t} = -\frac{\pi^{2}}{12}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((ln(t))/(1 + t), t = 0..1) = -((Pi)^(2))/(12)
 
Integrate[Divide[Log[t],1 + t], {t, 0, 1}, GenerateConditions->None] == -Divide[(Pi)^(2),12]
 Successful Successful - Successful [Tested: 1]
4.10.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int e^{az}\diff{z} = \frac{e^{az}}{a}}
\int e^{az}\diff{z} = \frac{e^{az}}{a}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int(exp(a*z), z) = (exp(a*z))/(a)
 
Integrate[Exp[a*z], z, GenerateConditions->None] == Divide[Exp[a*z],a]
 Successful Successful - Successful [Tested: 42]
4.10.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\frac{\diff{z}}{e^{az}+b} = \frac{1}{ab}(az-\ln@{e^{az}+b})}
\int\frac{\diff{z}}{e^{az}+b} = \frac{1}{ab}(az-\ln@{e^{az}+b})		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((1)/(exp(a*z)+ b), z) = (1)/(a*b)*(a*z - ln(exp(a*z)+ b))
 
Integrate[Divide[1,Exp[a*z]+ b], z, GenerateConditions->None] == Divide[1,a*b]*(a*z - Log[Exp[a*z]+ b])
 Failure Successful Successful [Tested: 252] Successful [Tested: 252]
4.10.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\frac{e^{az}-1}{e^{az}+1}\diff{z} = \frac{2}{a}\ln@{e^{az/2}+e^{-az/2}}}
\int\frac{e^{az}-1}{e^{az}+1}\diff{z} = \frac{2}{a}\ln@{e^{az/2}+e^{-az/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((exp(a*z)- 1)/(exp(a*z)+ 1), z) = (2)/(a)*ln(exp(a*z/2)+ exp(- a*z/2))
 
Integrate[Divide[Exp[a*z]- 1,Exp[a*z]+ 1], z, GenerateConditions->None] == Divide[2,a]*Log[Exp[a*z/2]+ Exp[- a*z/2]]
 Failure Failure Successful [Tested: 42] Successful [Tested: 42]
4.10.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{-\infty}^{\infty}e^{-cx^{2}}\diff{x} = \sqrt{\frac{\pi}{c}}}
\int_{-\infty}^{\infty}e^{-cx^{2}}\diff{x} = \sqrt{\frac{\pi}{c}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{c} > 0} 
int(exp(- c*(x)^(2)), x = - infinity..infinity) = sqrt((Pi)/(c))
 
Integrate[Exp[- c*(x)^(2)], {x, - Infinity, Infinity}, GenerateConditions->None] == Sqrt[Divide[Pi,c]]
 Successful Successful - Successful [Tested: 3]
4.10.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\ln@@{2}}\frac{xe^{x}}{e^{x}-1}\diff{x} = \frac{\pi^{2}}{12}}
\int_{0}^{\ln@@{2}}\frac{xe^{x}}{e^{x}-1}\diff{x} = \frac{\pi^{2}}{12}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((x*exp(x))/(exp(x)- 1), x = 0..ln(2)) = ((Pi)^(2))/(12)
 
Integrate[Divide[x*Exp[x],Exp[x]- 1], {x, 0, Log[2]}, GenerateConditions->None] == Divide[(Pi)^(2),12]
 Successful Successful - Successful [Tested: 1]
4.10.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\frac{\diff{x}}{e^{x}+1} = \ln@@{2}}
\int_{0}^{\infty}\frac{\diff{x}}{e^{x}+1} = \ln@@{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
int((1)/(exp(x)+ 1), x = 0..infinity) = ln(2)
 
Integrate[Divide[1,Exp[x]+ 1], {x, 0, Infinity}, GenerateConditions->None] == Log[2]
 Successful Successful - Successful [Tested: 1]
4.12.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x+1) = e^{\phi(x)}}
\phi(x+1) = e^{\phi(x)}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < \infty} 
phi(x + 1) = exp(phi(x))
 
\[Phi][x + 1] == Exp[\[Phi][x]]
 Skipped - no semantic math Skipped - no semantic math - -
4.12.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(0) = 0}
\phi(0) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
phi(0) = 0
 
\[Phi][0] == 0
 Skipped - no semantic math Skipped - no semantic math - -
4.12.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(e^{x}) = 1+\psi(x)}
\psi(e^{x}) = 1+\psi(x)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
psi(exp(x)) = 1 + psi(x)
 
\[Psi][Exp[x]] == 1 + \[Psi][x]
 Skipped - no semantic math Skipped - no semantic math - -
4.12.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(0) = 0}
\psi(0) = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
psi(0) = 0
 
\[Psi][0] == 0
 Skipped - no semantic math Skipped - no semantic math - -
4.12.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x) = \psi(x)}
\phi(x) = \psi(x)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq 1} 
phi(x) = psi(x)
 
\[Phi][x] == \[Psi][x]
 Skipped - no semantic math Skipped - no semantic math - -
4.12.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x) = \ln@{x+1}}
\phi(x) = \ln@{x+1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 0} 
phi(x) = ln(x + 1)
 
\[Phi][x] == Log[x + 1]
 Failure Failure Error Skip - No test values generated
4.12.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(x) = e^{x}-1}
\psi(x) = e^{x}-1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < 0} 
psi(x) = exp(x)- 1
 
\[Psi][x] == Exp[x]- 1
 Skipped - no semantic math Skipped - no semantic math - -
4.13.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle We^{W} = x}
We^{W} = x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
W*exp(W) = x
 
W*Exp[W] == x
 Failure Failure
Failed [30 / 30]
Result: -.263026030+2.030302705*I
Test Values: {W = 1/2*3^(1/2)+1/2*I, x = 1.5}

Result: .736973970+2.030302705*I
Test Values: {W = 1/2*3^(1/2)+1/2*I, x = .5}

Result: -.763026030+2.030302705*I
Test Values: {W = 1/2*3^(1/2)+1/2*I, x = 2}

Result: -2.096603674+.1092863076*I
Test Values: {W = -1/2+1/2*I*3^(1/2), x = 1.5}

... skip entries to safe data
Failed [30 / 30]
Result: Complex[-0.2630260306572938, 2.0303027048207967]
Test Values: {Rule[W, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 1.5]}

Result: Complex[0.7369739693427062, 2.0303027048207967]
Test Values: {Rule[W, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 0.5]}

... skip entries to safe data
4.13#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertWp@{-1/e} = \LambertWm@{-1/e}}
\LambertWp@{-1/e} = \LambertWm@{-1/e}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
LambertW(0, - 1/exp(1)) = LambertW(-1, - 1/exp(1))
 
ProductLog[0, - 1/E] == ProductLog[-1, - 1/E]
 Successful Successful - Successful [Tested: 1]
4.13#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertWm@{-1/e} = -1}
\LambertWm@{-1/e} = -1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
LambertW(-1, - 1/exp(1)) = - 1
 
ProductLog[-1, - 1/E] == - 1
 Successful Successful - Successful [Tested: 1]
4.13#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertWp@{0} = 0}
\LambertWp@{0} = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
LambertW(0, 0) = 0
 
ProductLog[0, 0] == 0
 Successful Successful - Successful [Tested: 1]
4.13#Ex3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertWp@{e} = 1}
\LambertWp@{e} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
LambertW(0, exp(1)) = 1
 
ProductLog[0, E] == 1
 Successful Successful - Successful [Tested: 1]
4.13#Ex4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle U+\ln@@{U} = x}
U+\ln@@{U} = x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
U + ln(U) = x
 
U + Log[U] == x
 Failure Failure
Failed [30 / 30]
Result: -.6339745958+1.023598776*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 1.5}

Result: .3660254042+1.023598776*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = .5}

Result: -1.133974596+1.023598776*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 2}

Result: -2.000000000+2.960420506*I
Test Values: {U = -1/2+1/2*I*3^(1/2), x = 1.5}

... skip entries to safe data
Failed [30 / 30]
Result: Complex[-0.6339745962155613, 1.0235987755982987]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 1.5]}

Result: Complex[0.3660254037844387, 1.0235987755982987]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 0.5]}

... skip entries to safe data
4.13#Ex5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle U = U(x)}
U = U(x)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
U = U*(x)
 
U == U*(x)
 Failure Failure
Failed [30 / 30]
Result: -.4330127020-.2500000000*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 1.5}

Result: .4330127020+.2500000000*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = .5}

Result: -.8660254040-.5000000000*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 2}

Result: .2500000000-.4330127020*I
Test Values: {U = -1/2+1/2*I*3^(1/2), x = 1.5}

... skip entries to safe data
Failed [30 / 30]
Result: Complex[-0.4330127018922193, -0.24999999999999994]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 1.5]}

Result: Complex[0.43301270189221935, 0.24999999999999997]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 0.5]}

... skip entries to safe data
4.13#Ex5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle U(x) = \LambertW@{e^{x}}}
U(x) = \LambertW@{e^{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
U(x) = LambertW(exp(x))
 
U[x] == ProductLog[Exp[x]]
 Failure Failure
Failed [30 / 30]
Result: .34078386e-1+.7500000000*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 1.5}

Result: -.3332359062+.2500000000*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = .5}

Result: .174905209+1.*I
Test Values: {U = 1/2*3^(1/2)+1/2*I, x = 2}

Result: -2.014959720+1.299038106*I
Test Values: {U = -1/2+1/2*I*3^(1/2), x = 1.5}

... skip entries to safe data
Failed [30 / 30]
Result: Complex[0.0340783855511575, 0.7499999999999999]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 1.5]}

Result: Complex[-0.333235906269531, 0.24999999999999997]
Test Values: {Rule[U, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[x, 0.5]}

... skip entries to safe data
4.13.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertWp@{x} = \sum_{n=1}^{\infty}(-1)^{n-1}\frac{n^{n-2}}{(n-1)!}x^{n}}
\LambertWp@{x} = \sum_{n=1}^{\infty}(-1)^{n-1}\frac{n^{n-2}}{(n-1)!}x^{n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |x| < \dfrac{1}{e}} 
LambertW(0, x) = sum((- 1)^(n - 1)*((n)^(n - 2))/(factorial(n - 1))*(x)^(n), n = 1..infinity)
 
ProductLog[0, x] == Sum[(- 1)^(n - 1)*Divide[(n)^(n - 2),(n - 1)!]*(x)^(n), {n, 1, Infinity}, GenerateConditions->None]
 Failure Successful Error Successful [Tested: 0]
4.13.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LambertW@{-e^{-1-(t^{2}/2)}} = \sum_{n=0}^{\infty}(-1)^{n-1}c_{n}t^{n}}
\LambertW@{-e^{-1-(t^{2}/2)}} = \sum_{n=0}^{\infty}(-1)^{n-1}c_{n}t^{n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |t| < 2\sqrt{\pi}} 
LambertW(- exp(- 1 -((t)^(2)/2))) = sum((- 1)^(n - 1)* c[n]*(t)^(n), n = 0..infinity)
 
ProductLog[- Exp[- 1 -((t)^(2)/2)]] == Sum[(- 1)^(n - 1)* Subscript[c, n]*(t)^(n), {n, 0, Infinity}, GenerateConditions->None]
 Failure Failure
Failed [60 / 60]
Result: Float(infinity)+Float(infinity)*I
Test Values: {t = -1.5, c[n] = 1/2*3^(1/2)+1/2*I}

Result: Float(infinity)+Float(infinity)*I
Test Values: {t = -1.5, c[n] = -1/2+1/2*I*3^(1/2)}

Result: Float(infinity)+Float(infinity)*I
Test Values: {t = -1.5, c[n] = 1/2-1/2*I*3^(1/2)}

Result: Float(infinity)+Float(infinity)*I
Test Values: {t = -1.5, c[n] = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [60 / 60]
Result: Plus[-0.13696418431579768, Times[-1.0, NSum[Times[Power[-1.5, n], Power[-1, Plus[-1, n]], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]
Test Values: {n, 0, DirectedInfinity[1]}, Rule[GenerateConditions, None]]]], {Rule[t, -1.5], Rule[Subscript[c, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Plus[-0.13696418431579768, Times[-1.0, NSum[Times[Power[-1.5, n], Power[-1, Plus[-1, n]], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]
Test Values: {n, 0, DirectedInfinity[1]}, Rule[GenerateConditions, None]]]], {Rule[t, -1.5], Rule[Subscript[c, n], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.13.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{0} = 1,c_{1}}
c_{0} = 1,c_{1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
c[0] = 1; c[1]
 
Subscript[c, 0] == 1
 Subscript[c, 1]
 Skipped - no semantic math Skipped - no semantic math - -
4.13.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{n} = \frac{1}{n+1}\left(c_{n-1}-\sum_{k=2}^{n-1}kc_{k}c_{n+1-k}\right)}
c_{n} = \frac{1}{n+1}\left(c_{n-1}-\sum_{k=2}^{n-1}kc_{k}c_{n+1-k}\right)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n \geq 2} 
c[n] = (1)/(n + 1)*(c[n - 1]- sum(k*c[k]*c[n + 1 - k], k = 2..n - 1))
 
Subscript[c, n] == Divide[1,n + 1]*(Subscript[c, n - 1]- Sum[k*Subscript[c, k]*Subscript[c, n + 1 - k], {k, 2, n - 1}, GenerateConditions->None])
 Skipped - no semantic math Skipped - no semantic math - -
4.13.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1\cdot 3\cdot 5\cdots(2n+1)c_{2n+1} = g_{n}}
1\cdot 3\cdot 5\cdots(2n+1)c_{2n+1} = g_{n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
1 * 3 * 5*(2*n + 1)*c[2*n + 1] = g[n]
 
1 * 3 * 5*(2*n + 1)*Subscript[c, 2*n + 1] == Subscript[g, n]
 Skipped - no semantic math Skipped - no semantic math - -
4.14.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{z} = \frac{e^{\iunit z}-e^{-\iunit z}}{2\iunit}}
\sin@@{z} = \frac{e^{\iunit z}-e^{-\iunit z}}{2\iunit}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(z) = (exp(I*z)- exp(- I*z))/(2*I)
 
Sin[z] == Divide[Exp[I*z]- Exp[- I*z],2*I]
 Successful Successful - Successful [Tested: 7]
4.14.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z} = \frac{e^{\iunit z}+e^{-\iunit z}}{2}}
\cos@@{z} = \frac{e^{\iunit z}+e^{-\iunit z}}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z) = (exp(I*z)+ exp(- I*z))/(2)
 
Cos[z] == Divide[Exp[I*z]+ Exp[- I*z],2]
 Successful Successful - Successful [Tested: 7]
4.14.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z}+ i\sin@@{z} = e^{+ iz}}
\cos@@{z}+ i\sin@@{z} = e^{+ iz}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z)+ I*sin(z) = exp(+ I*z)
 
Cos[z]+ I*Sin[z] == Exp[+ I*z]
 Successful Successful - Successful [Tested: 7]
4.14.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z}- i\sin@@{z} = e^{- iz}}
\cos@@{z}- i\sin@@{z} = e^{- iz}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z)- I*sin(z) = exp(- I*z)
 
Cos[z]- I*Sin[z] == Exp[- I*z]
 Successful Successful - Successful [Tested: 7]
4.14.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{z} = \frac{\sin@@{z}}{\cos@@{z}}}
\tan@@{z} = \frac{\sin@@{z}}{\cos@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(z) = (sin(z))/(cos(z))
 
Tan[z] == Divide[Sin[z],Cos[z]]
 Successful Successful - Successful [Tested: 7]
4.14.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csc@@{z} = \frac{1}{\sin@@{z}}}
\csc@@{z} = \frac{1}{\sin@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
csc(z) = (1)/(sin(z))
 
Csc[z] == Divide[1,Sin[z]]
 Successful Successful - Successful [Tested: 7]
4.14.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sec@@{z} = \frac{1}{\cos@@{z}}}
\sec@@{z} = \frac{1}{\cos@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sec(z) = (1)/(cos(z))
 
Sec[z] == Divide[1,Cos[z]]
 Successful Successful - Successful [Tested: 7]
4.14.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{z} = \frac{\cos@@{z}}{\sin@@{z}}}
\cot@@{z} = \frac{\cos@@{z}}{\sin@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(z) = (cos(z))/(sin(z))
 
Cot[z] == Divide[Cos[z],Sin[z]]
 Successful Successful - Successful [Tested: 7]
4.14.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\cos@@{z}}{\sin@@{z}} = \frac{1}{\tan@@{z}}}
\frac{\cos@@{z}}{\sin@@{z}} = \frac{1}{\tan@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(cos(z))/(sin(z)) = (1)/(tan(z))
 
Divide[Cos[z],Sin[z]] == Divide[1,Tan[z]]
 Successful Successful - Successful [Tested: 7]
4.14.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{z+2k\pi} = \sin@@{z}}
\sin@{z+2k\pi} = \sin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(z + 2*k*Pi) = sin(z)
 
Sin[z + 2*k*Pi] == Sin[z]
 Successful Failure - Successful [Tested: 21]
4.14.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{z+2k\pi} = \cos@@{z}}
\cos@{z+2k\pi} = \cos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z + 2*k*Pi) = cos(z)
 
Cos[z + 2*k*Pi] == Cos[z]
 Successful Failure - Successful [Tested: 21]
4.14.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{z+k\pi} = \tan@@{z}}
\tan@{z+k\pi} = \tan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(z + k*Pi) = tan(z)
 
Tan[z + k*Pi] == Tan[z]
 Successful Failure - Successful [Tested: 21]
4.15.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{x+iy} = \sin@{x+\tfrac{1}{2}\pi+iy}}
\cos@{x+iy} = \sin@{x+\tfrac{1}{2}\pi+iy}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(x + I*y) = sin(x +(1)/(2)*Pi + I*y)
 
Cos[x + I*y] == Sin[x +Divide[1,2]*Pi + I*y]
 Successful Successful - Successful [Tested: 18]
4.15.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@{x+iy} = -\tan@{x+\tfrac{1}{2}\pi+iy}}
\cot@{x+iy} = -\tan@{x+\tfrac{1}{2}\pi+iy}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(x + I*y) = - tan(x +(1)/(2)*Pi + I*y)
 
Cot[x + I*y] == - Tan[x +Divide[1,2]*Pi + I*y]
 Successful Successful - Successful [Tested: 18]
4.15.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sec@{x+iy} = \csc@{x+\tfrac{1}{2}\pi+iy}}
\sec@{x+iy} = \csc@{x+\tfrac{1}{2}\pi+iy}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sec(x + I*y) = csc(x +(1)/(2)*Pi + I*y)
 
Sec[x + I*y] == Csc[x +Divide[1,2]*Pi + I*y]
 Successful Successful - Successful [Tested: 18]
4.17.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{\sin@@{z}}{z} = 1}
\lim_{z\to 0}\frac{\sin@@{z}}{z} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((sin(z))/(z), z = 0) = 1
 
Limit[Divide[Sin[z],z], z -> 0, GenerateConditions->None] == 1
 Successful Successful - Successful [Tested: 1]
4.17.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{\tan@@{z}}{z} = 1}
\lim_{z\to 0}\frac{\tan@@{z}}{z} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((tan(z))/(z), z = 0) = 1
 
Limit[Divide[Tan[z],z], z -> 0, GenerateConditions->None] == 1
 Successful Successful - Successful [Tested: 1]
4.17.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{1-\cos@@{z}}{z^{2}} = \frac{1}{2}}
\lim_{z\to 0}\frac{1-\cos@@{z}}{z^{2}} = \frac{1}{2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
limit((1 - cos(z))/((z)^(2)), z = 0) = (1)/(2)
 
Limit[Divide[1 - Cos[z],(z)^(2)], z -> 0, GenerateConditions->None] == Divide[1,2]
 Successful Successful - Successful [Tested: 1]
4.18.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{2x}{\pi} \leq \sin@@{x}}
\frac{2x}{\pi} \leq \sin@@{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq \frac{1}{2}\pi} 
(2*x)/(Pi) <= sin(x)
 
Divide[2*x,Pi] <= Sin[x]
 Failure Failure Successful [Tested: 2] Successful [Tested: 2]
4.18.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{x} \leq x}
\sin@@{x} \leq x		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq \frac{1}{2}\pi} 
sin(x) <= x
 
Sin[x] <= x
 Failure Failure Successful [Tested: 2] Successful [Tested: 2]
4.18.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x \leq \tan@@{x}}
x \leq \tan@@{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x < \frac{1}{2}\pi} 
x <= tan(x)
 
x <= Tan[x]
 Failure Failure Successful [Tested: 2] Successful [Tested: 2]
4.18.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{x} \leq \frac{\sin@@{x}}{x}}
\cos@@{x} \leq \frac{\sin@@{x}}{x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq \pi} 
cos(x) <= (sin(x))/(x)
 
Cos[x] <= Divide[Sin[x],x]
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.18.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@@{x}}{x} \leq 1}
\frac{\sin@@{x}}{x} \leq 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq \pi} 
(sin(x))/(x) <= 1
 
Divide[Sin[x],x] <= 1
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.18.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pi < \frac{\sin@{\pi x}}{x(1-x)}}
\pi < \frac{\sin@{\pi x}}{x(1-x)}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < 1} 
Pi < (sin(Pi*x))/(x*(1 - x))
 
Pi < Divide[Sin[Pi*x],x*(1 - x)]
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.18.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@{\pi x}}{x(1-x)} \leq 4}
\frac{\sin@{\pi x}}{x(1-x)} \leq 4		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < 1} 
(sin(Pi*x))/(x*(1 - x)) <= 4
 
Divide[Sin[Pi*x],x*(1 - x)] <= 4
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.18.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sinh@@{y}| \leq |\sin@@{z}|\leq\cosh@@{y}}
|\sinh@@{y}| \leq |\sin@@{z}|\leq\cosh@@{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(sinh(y)) <= abs(sin(x + y*I)) <= cosh(y)
 
Abs[Sinh[y]] <= Abs[Sin[x + y*I]] <= Cosh[y]
 Failure Failure Error Successful [Tested: 18]
4.18.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sinh@@{y}| \leq |\cos@@{z}|\leq\cosh@@{y}}
|\sinh@@{y}| \leq |\cos@@{z}|\leq\cosh@@{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(sinh(y)) <= abs(cos(x + y*I)) <= cosh(y)
 
Abs[Sinh[y]] <= Abs[Cos[x + y*I]] <= Cosh[y]
 Failure Failure Error Successful [Tested: 18]
4.18.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\csc@@{z}| \leq \csch@@{|y|}}
|\csc@@{z}| \leq \csch@@{|y|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(csc(x + y*I)) <= csch(abs(y))
 
Abs[Csc[x + y*I]] <= Csch[Abs[y]]
 Failure Failure Successful [Tested: 18] Successful [Tested: 18]
4.18.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\cos@@{z}| \leq \cosh@@{|z|}}
|\cos@@{z}| \leq \cosh@@{|z|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(cos(z)) <= cosh(abs(z))
 
Abs[Cos[z]] <= Cosh[Abs[z]]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.18.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sin@@{z}| \leq \sinh@@{|z|}}
|\sin@@{z}| \leq \sinh@@{|z|}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(sin(z)) <= sinh(abs(z))
 
Abs[Sin[z]] <= Sinh[Abs[z]]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.18#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\cos@@{z}| < 2}
|\cos@@{z}| < 2		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(cos(z)) < 2
 
Abs[Cos[z]] < 2
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.18#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sin@@{z}| \leq \tfrac{6}{5}|z|}
|\sin@@{z}| \leq \tfrac{6}{5}|z|		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < 1} 
abs(sin(z)) <= (6)/(5)*abs(z)
 
Abs[Sin[z]] <= Divide[6,5]*Abs[z]
 Failure Failure Successful [Tested: 1] Successful [Tested: 1]
4.19.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{\frac{\sin@@{z}}{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n}2^{2n-1}\BernoullinumberB{2n}}{n(2n)!}z^{2n}}
\ln@{\frac{\sin@@{z}}{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n}2^{2n-1}\BernoullinumberB{2n}}{n(2n)!}z^{2n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < \pi} 
ln((sin(z))/(z)) = sum(((- 1)^(n)* (2)^(2*n - 1)* bernoulli(2*n))/(n*factorial(2*n))*(z)^(2*n), n = 1..infinity)
 
Log[Divide[Sin[z],z]] == Sum[Divide[(- 1)^(n)* (2)^(2*n - 1)* BernoulliB[2*n],n*(2*n)!]*(z)^(2*n), {n, 1, Infinity}, GenerateConditions->None]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.19.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{\cos@@{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n}2^{2n-1}(2^{2n}-1)\BernoullinumberB{2n}}{n(2n)!}z^{2n}}
\ln@{\cos@@{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n}2^{2n-1}(2^{2n}-1)\BernoullinumberB{2n}}{n(2n)!}z^{2n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < \frac{1}{2}\pi} 
ln(cos(z)) = sum(((- 1)^(n)* (2)^(2*n - 1)*((2)^(2*n)- 1)*bernoulli(2*n))/(n*factorial(2*n))*(z)^(2*n), n = 1..infinity)
 
Log[Cos[z]] == Sum[Divide[(- 1)^(n)* (2)^(2*n - 1)*((2)^(2*n)- 1)*BernoulliB[2*n],n*(2*n)!]*(z)^(2*n), {n, 1, Infinity}, GenerateConditions->None]
 Failure Failure Manual Skip! Successful [Tested: 6]
4.19.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{\frac{\tan@@{z}}{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n-1}2^{2n}(2^{2n-1}-1)\BernoullinumberB{2n}}{n(2n)!}z^{2n}}
\ln@{\frac{\tan@@{z}}{z}} = \sum_{n=1}^{\infty}\frac{(-1)^{n-1}2^{2n}(2^{2n-1}-1)\BernoullinumberB{2n}}{n(2n)!}z^{2n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < \frac{1}{2}\pi} 
ln((tan(z))/(z)) = sum(((- 1)^(n - 1)* (2)^(2*n)*((2)^(2*n - 1)- 1)*bernoulli(2*n))/(n*factorial(2*n))*(z)^(2*n), n = 1..infinity)
 
Log[Divide[Tan[z],z]] == Sum[Divide[(- 1)^(n - 1)* (2)^(2*n)*((2)^(2*n - 1)- 1)*BernoulliB[2*n],n*(2*n)!]*(z)^(2*n), {n, 1, Infinity}, GenerateConditions->None]
 Failure Failure Manual Skip! Successful [Tested: 6]
4.20.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\sin@@{z} = \cos@@{z}}
\deriv{}{z}\sin@@{z} = \cos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(sin(z), z) = cos(z)
 
D[Sin[z], z] == Cos[z]
 Successful Successful - Successful [Tested: 7]
4.20.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\cos@@{z} = -\sin@@{z}}
\deriv{}{z}\cos@@{z} = -\sin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(cos(z), z) = - sin(z)
 
D[Cos[z], z] == - Sin[z]
 Successful Successful - Successful [Tested: 7]
4.20.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\tan@@{z} = \sec^{2}@@{z}}
\deriv{}{z}\tan@@{z} = \sec^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(tan(z), z) = (sec(z))^(2)
 
D[Tan[z], z] == (Sec[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.20.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\csc@@{z} = -\csc@@{z}\cot@@{z}}
\deriv{}{z}\csc@@{z} = -\csc@@{z}\cot@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(csc(z), z) = - csc(z)*cot(z)
 
D[Csc[z], z] == - Csc[z]*Cot[z]
 Successful Successful - Successful [Tested: 7]
4.20.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\sec@@{z} = \sec@@{z}\tan@@{z}}
\deriv{}{z}\sec@@{z} = \sec@@{z}\tan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(sec(z), z) = sec(z)*tan(z)
 
D[Sec[z], z] == Sec[z]*Tan[z]
 Successful Successful - Successful [Tested: 7]
4.20.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\cot@@{z} = -\csc^{2}@@{z}}
\deriv{}{z}\cot@@{z} = -\csc^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(cot(z), z) = - (csc(z))^(2)
 
D[Cot[z], z] == - (Csc[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.20.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\sin@@{z} = \sin@{z+\tfrac{1}{2}n\pi}}
\deriv[n]{}{z}\sin@@{z} = \sin@{z+\tfrac{1}{2}n\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(sin(z), [z$(n)]) = sin(z +(1)/(2)*n*Pi)
 
D[Sin[z], {z, n}] == Sin[z +Divide[1,2]*n*Pi]
 Successful Successful - Successful [Tested: 21]
4.20.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\cos@@{z} = \cos@{z+\tfrac{1}{2}n\pi}}
\deriv[n]{}{z}\cos@@{z} = \cos@{z+\tfrac{1}{2}n\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(cos(z), [z$(n)]) = cos(z +(1)/(2)*n*Pi)
 
D[Cos[z], {z, n}] == Cos[z +Divide[1,2]*n*Pi]
 Successful Successful - Successful [Tested: 21]
4.20.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[2]{w}{z}+a^{2}w = 0}
\deriv[2]{w}{z}+a^{2}w = 0		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(w, [z$(2)])+ (a)^(2)* w = 0
 
D[w, {z, 2}]+ (a)^(2)* w == 0
 Failure Failure
Failed [300 / 300]
Result: 1.948557159+1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: 1.948557159+1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: 1.948557159+1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: 1.948557159+1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.948557158514987, 1.1249999999999998]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.948557158514987, 1.1249999999999998]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.20.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(\deriv{w}{z}\right)^{2}+a^{2}w^{2} = 1}
\left(\deriv{w}{z}\right)^{2}+a^{2}w^{2} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(diff(w, z))^(2)+ (a)^(2)* (w)^(2) = 1
 
(D[w, z])^(2)+ (a)^(2)* (w)^(2) == 1
 Failure Failure
Failed [272 / 300]
Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [272 / 300]
Result: Complex[0.12500000000000022, 1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.12500000000000022, 1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.20.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{w}{z}-a^{2}w^{2} = 1}
\deriv{w}{z}-a^{2}w^{2} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
diff(w, z)- (a)^(2)* (w)^(2) = 1
 
D[w, z]- (a)^(2)* (w)^(2) == 1
 Failure Failure
Failed [300 / 300]
Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[-2.125, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-2.125, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.20.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = A\cos@{az}+B\sin@{az}}
w = A\cos@{az}+B\sin@{az}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
w = A*cos(a*z)+ B*sin(a*z)
 
w == A*Cos[a*z]+ B*Sin[a*z]
 Failure Failure
Failed [300 / 300]
Result: 1.138704571+1.826991634*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -1.586785764-.8180862806*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: 1.979513822-1.625744019*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: -.8007246334+.1975056737*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.138704570618858, 1.8269916342928783]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.5867857625486925, -0.8180862808059206]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.20.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = (1/a)\sin@{az+c}}
w = (1/a)\sin@{az+c}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
w = (1/a)*sin(a*z + c)
 
w == (1/a)*Sin[a*z + c]
 Failure Failure
Failed [300 / 300]
Result: .5761075690+1.016359912*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -.288669860e-1-.3275339707*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: -.1554713530-.2104590960*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: .6937358929+1.037178419*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[0.5761075684969701, 1.0163599120046827]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-0.028866985825810376, -0.3275339701177746]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.20.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = (1/a)\tan@{az+c}}
w = (1/a)\tan@{az+c}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
w = (1/a)*tan(a*z + c)
 
w == (1/a)*Tan[a*z + c]
 Failure Failure
Failed [300 / 300]
Result: 1.000937702+.460093509e-1*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: .7686167751-.1524919258*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: .9655903492+1.180557377*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: .7863384613+.9337431086*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [300 / 300]
Result: Complex[1.0009377022129278, 0.04600935086169866]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.7686167748870922, -0.1524919257161706]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.21.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{u}+\cos@@{u} = \sqrt{2}\sin@{u+\tfrac{1}{4}\pi}}
\sin@@{u}+\cos@@{u} = \sqrt{2}\sin@{u+\tfrac{1}{4}\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u)+ cos(u) = sqrt(2)*sin(u +(1)/(4)*Pi)
 
Sin[u]+ Cos[u] == Sqrt[2]*Sin[u +Divide[1,4]*Pi]
 Successful Successful - Successful [Tested: 10]
4.21.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{u}-\cos@@{u} = \sqrt{2}\sin@{u-\tfrac{1}{4}\pi}}
\sin@@{u}-\cos@@{u} = \sqrt{2}\sin@{u-\tfrac{1}{4}\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u)- cos(u) = sqrt(2)*sin(u -(1)/(4)*Pi)
 
Sin[u]- Cos[u] == Sqrt[2]*Sin[u -Divide[1,4]*Pi]
 Successful Successful - Successful [Tested: 10]
4.21.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sqrt{2}\sin@{u+\tfrac{1}{4}\pi} = +\sqrt{2}\cos@{u-\tfrac{1}{4}\pi}}
\sqrt{2}\sin@{u+\tfrac{1}{4}\pi} = +\sqrt{2}\cos@{u-\tfrac{1}{4}\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sqrt(2)*sin(u +(1)/(4)*Pi) = +sqrt(2)*cos(u -(1)/(4)*Pi)
 
Sqrt[2]*Sin[u +Divide[1,4]*Pi] == +Sqrt[2]*Cos[u -Divide[1,4]*Pi]
 Successful Successful - Successful [Tested: 10]
4.21.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sqrt{2}\sin@{u-\tfrac{1}{4}\pi} = -\sqrt{2}\cos@{u+\tfrac{1}{4}\pi}}
\sqrt{2}\sin@{u-\tfrac{1}{4}\pi} = -\sqrt{2}\cos@{u+\tfrac{1}{4}\pi}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sqrt(2)*sin(u -(1)/(4)*Pi) = -sqrt(2)*cos(u +(1)/(4)*Pi)
 
Sqrt[2]*Sin[u -Divide[1,4]*Pi] == -Sqrt[2]*Cos[u +Divide[1,4]*Pi]
 Successful Successful - Successful [Tested: 10]
4.21.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{u+ v} = \sin@@{u}\cos@@{v}+\cos@@{u}\sin@@{v}}
\sin@{u+ v} = \sin@@{u}\cos@@{v}+\cos@@{u}\sin@@{v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u + v) = sin(u)*cos(v)+ cos(u)*sin(v)
 
Sin[u + v] == Sin[u]*Cos[v]+ Cos[u]*Sin[v]
 Successful Successful - Successful [Tested: 100]
4.21.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{u- v} = \sin@@{u}\cos@@{v}-\cos@@{u}\sin@@{v}}
\sin@{u- v} = \sin@@{u}\cos@@{v}-\cos@@{u}\sin@@{v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u - v) = sin(u)*cos(v)- cos(u)*sin(v)
 
Sin[u - v] == Sin[u]*Cos[v]- Cos[u]*Sin[v]
 Successful Successful - Successful [Tested: 100]
4.21.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{u+ v} = \cos@@{u}\cos@@{v}-\sin@@{u}\sin@@{v}}
\cos@{u+ v} = \cos@@{u}\cos@@{v}-\sin@@{u}\sin@@{v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(u + v) = cos(u)*cos(v)- sin(u)*sin(v)
 
Cos[u + v] == Cos[u]*Cos[v]- Sin[u]*Sin[v]
 Successful Successful - Successful [Tested: 100]
4.21.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{u- v} = \cos@@{u}\cos@@{v}+\sin@@{u}\sin@@{v}}
\cos@{u- v} = \cos@@{u}\cos@@{v}+\sin@@{u}\sin@@{v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(u - v) = cos(u)*cos(v)+ sin(u)*sin(v)
 
Cos[u - v] == Cos[u]*Cos[v]+ Sin[u]*Sin[v]
 Successful Successful - Successful [Tested: 100]
4.21.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{u+ v} = \frac{\tan@@{u}+\tan@@{v}}{1-\tan@@{u}\tan@@{v}}}
\tan@{u+ v} = \frac{\tan@@{u}+\tan@@{v}}{1-\tan@@{u}\tan@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(u + v) = (tan(u)+ tan(v))/(1 - tan(u)*tan(v))
 
Tan[u + v] == Divide[Tan[u]+ Tan[v],1 - Tan[u]*Tan[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{u- v} = \frac{\tan@@{u}-\tan@@{v}}{1+\tan@@{u}\tan@@{v}}}
\tan@{u- v} = \frac{\tan@@{u}-\tan@@{v}}{1+\tan@@{u}\tan@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(u - v) = (tan(u)- tan(v))/(1 + tan(u)*tan(v))
 
Tan[u - v] == Divide[Tan[u]- Tan[v],1 + Tan[u]*Tan[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@{u+ v} = \frac{+\cot@@{u}\cot@@{v}-1}{\cot@@{u}+\cot@@{v}}}
\cot@{u+ v} = \frac{+\cot@@{u}\cot@@{v}-1}{\cot@@{u}+\cot@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(u + v) = (+ cot(u)*cot(v)- 1)/(cot(u)+ cot(v))
 
Cot[u + v] == Divide[+ Cot[u]*Cot[v]- 1,Cot[u]+ Cot[v]]
 Successful Successful -
Failed [10 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

Result: Complex[1.9674787081851645*^15, 2.0439439417914815*^15]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.21.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@{u- v} = \frac{-\cot@@{u}\cot@@{v}-1}{\cot@@{u}-\cot@@{v}}}
\cot@{u- v} = \frac{-\cot@@{u}\cot@@{v}-1}{\cot@@{u}-\cot@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(u - v) = (- cot(u)*cot(v)- 1)/(cot(u)- cot(v))
 
Cot[u - v] == Divide[- Cot[u]*Cot[v]- 1,Cot[u]- Cot[v]]
 Successful Successful -
Failed [10 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.21.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{u}+\sin@@{v} = 2\sin@{\frac{u+v}{2}}\cos@{\frac{u-v}{2}}}
\sin@@{u}+\sin@@{v} = 2\sin@{\frac{u+v}{2}}\cos@{\frac{u-v}{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u)+ sin(v) = 2*sin((u + v)/(2))*cos((u - v)/(2))
 
Sin[u]+ Sin[v] == 2*Sin[Divide[u + v,2]]*Cos[Divide[u - v,2]]
 Successful Successful - Successful [Tested: 100]
4.21.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{u}-\sin@@{v} = 2\cos@{\frac{u+v}{2}}\sin@{\frac{u-v}{2}}}
\sin@@{u}-\sin@@{v} = 2\cos@{\frac{u+v}{2}}\sin@{\frac{u-v}{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(u)- sin(v) = 2*cos((u + v)/(2))*sin((u - v)/(2))
 
Sin[u]- Sin[v] == 2*Cos[Divide[u + v,2]]*Sin[Divide[u - v,2]]
 Successful Successful - Successful [Tested: 100]
4.21.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{u}+\cos@@{v} = 2\cos@{\frac{u+v}{2}}\cos@{\frac{u-v}{2}}}
\cos@@{u}+\cos@@{v} = 2\cos@{\frac{u+v}{2}}\cos@{\frac{u-v}{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(u)+ cos(v) = 2*cos((u + v)/(2))*cos((u - v)/(2))
 
Cos[u]+ Cos[v] == 2*Cos[Divide[u + v,2]]*Cos[Divide[u - v,2]]
 Successful Successful - Successful [Tested: 100]
4.21.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{u}-\cos@@{v} = -2\sin@{\frac{u+v}{2}}\sin@{\frac{u-v}{2}}}
\cos@@{u}-\cos@@{v} = -2\sin@{\frac{u+v}{2}}\sin@{\frac{u-v}{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(u)- cos(v) = - 2*sin((u + v)/(2))*sin((u - v)/(2))
 
Cos[u]- Cos[v] == - 2*Sin[Divide[u + v,2]]*Sin[Divide[u - v,2]]
 Successful Successful - Successful [Tested: 100]
4.21.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{u}+\tan@@{v} = \frac{\sin@{u+ v}}{\cos@@{u}\cos@@{v}}}
\tan@@{u}+\tan@@{v} = \frac{\sin@{u+ v}}{\cos@@{u}\cos@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(u)+ tan(v) = (sin(u + v))/(cos(u)*cos(v))
 
Tan[u]+ Tan[v] == Divide[Sin[u + v],Cos[u]*Cos[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{u}-\tan@@{v} = \frac{\sin@{u- v}}{\cos@@{u}\cos@@{v}}}
\tan@@{u}-\tan@@{v} = \frac{\sin@{u- v}}{\cos@@{u}\cos@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(u)- tan(v) = (sin(u - v))/(cos(u)*cos(v))
 
Tan[u]- Tan[v] == Divide[Sin[u - v],Cos[u]*Cos[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{u}+\cot@@{v} = \frac{\sin@{v+ u}}{\sin@@{u}\sin@@{v}}}
\cot@@{u}+\cot@@{v} = \frac{\sin@{v+ u}}{\sin@@{u}\sin@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(u)+ cot(v) = (sin(v + u))/(sin(u)*sin(v))
 
Cot[u]+ Cot[v] == Divide[Sin[v + u],Sin[u]*Sin[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{u}-\cot@@{v} = \frac{\sin@{v- u}}{\sin@@{u}\sin@@{v}}}
\cot@@{u}-\cot@@{v} = \frac{\sin@{v- u}}{\sin@@{u}\sin@@{v}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(u)- cot(v) = (sin(v - u))/(sin(u)*sin(v))
 
Cot[u]- Cot[v] == Divide[Sin[v - u],Sin[u]*Sin[v]]
 Successful Successful - Successful [Tested: 100]
4.21.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin^{2}@@{z}+\cos^{2}@@{z} = 1}
\sin^{2}@@{z}+\cos^{2}@@{z} = 1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(sin(z))^(2)+ (cos(z))^(2) = 1
 
(Sin[z])^(2)+ (Cos[z])^(2) == 1
 Successful Successful - Successful [Tested: 7]
4.21.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sec^{2}@@{z} = 1+\tan^{2}@@{z}}
\sec^{2}@@{z} = 1+\tan^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(sec(z))^(2) = 1 + (tan(z))^(2)
 
(Sec[z])^(2) == 1 + (Tan[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.21.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csc^{2}@@{z} = 1+\cot^{2}@@{z}}
\csc^{2}@@{z} = 1+\cot^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(csc(z))^(2) = 1 + (cot(z))^(2)
 
(Csc[z])^(2) == 1 + (Cot[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.21.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sin@@{u}\sin@@{v} = \cos@{u-v}-\cos@{u+v}}
2\sin@@{u}\sin@@{v} = \cos@{u-v}-\cos@{u+v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
2*sin(u)*sin(v) = cos(u - v)- cos(u + v)
 
2*Sin[u]*Sin[v] == Cos[u - v]- Cos[u + v]
 Successful Successful - Successful [Tested: 100]
4.21.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\cos@@{u}\cos@@{v} = \cos@{u-v}+\cos@{u+v}}
2\cos@@{u}\cos@@{v} = \cos@{u-v}+\cos@{u+v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
2*cos(u)*cos(v) = cos(u - v)+ cos(u + v)
 
2*Cos[u]*Cos[v] == Cos[u - v]+ Cos[u + v]
 Successful Successful - Successful [Tested: 100]
4.21.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sin@@{u}\cos@@{v} = \sin@{u-v}+\sin@{u+v}}
2\sin@@{u}\cos@@{v} = \sin@{u-v}+\sin@{u+v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
2*sin(u)*cos(v) = sin(u - v)+ sin(u + v)
 
2*Sin[u]*Cos[v] == Sin[u - v]+ Sin[u + v]
 Successful Successful - Successful [Tested: 100]
4.21.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin^{2}@@{u}-\sin^{2}@@{v} = \sin@{u+v}\sin@{u-v}}
\sin^{2}@@{u}-\sin^{2}@@{v} = \sin@{u+v}\sin@{u-v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(sin(u))^(2)- (sin(v))^(2) = sin(u + v)*sin(u - v)
 
(Sin[u])^(2)- (Sin[v])^(2) == Sin[u + v]*Sin[u - v]
 Successful Successful - Successful [Tested: 100]
4.21.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos^{2}@@{u}-\cos^{2}@@{v} = -\sin@{u+v}\sin@{u-v}}
\cos^{2}@@{u}-\cos^{2}@@{v} = -\sin@{u+v}\sin@{u-v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(cos(u))^(2)- (cos(v))^(2) = - sin(u + v)*sin(u - v)
 
(Cos[u])^(2)- (Cos[v])^(2) == - Sin[u + v]*Sin[u - v]
 Successful Successful - Successful [Tested: 100]
4.21.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos^{2}@@{u}-\sin^{2}@@{v} = \cos@{u+v}\cos@{u-v}}
\cos^{2}@@{u}-\sin^{2}@@{v} = \cos@{u+v}\cos@{u-v}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(cos(u))^(2)- (sin(v))^(2) = cos(u + v)*cos(u - v)
 
(Cos[u])^(2)- (Sin[v])^(2) == Cos[u + v]*Cos[u - v]
 Successful Successful - Successful [Tested: 100]
4.21.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\frac{z}{2}} = +\left(\frac{1-\cos@@{z}}{2}\right)^{1/2}}
\sin@@{\frac{z}{2}} = +\left(\frac{1-\cos@@{z}}{2}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin((z)/(2)) = +((1 - cos(z))/(2))^(1/2)
 
Sin[Divide[z,2]] == +(Divide[1 - Cos[z],2])^(1/2)
 Failure Failure
Failed [2 / 7]
Result: -.5419255224+.8655716642*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}

Result: -.8655770340-.4585952894*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
Failed [2 / 7]
Result: Complex[-0.541925522457336, 0.8655716640572733]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[-0.8655770337160631, -0.4585952893468805]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

4.21.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\frac{z}{2}} = -\left(\frac{1-\cos@@{z}}{2}\right)^{1/2}}
\sin@@{\frac{z}{2}} = -\left(\frac{1-\cos@@{z}}{2}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin((z)/(2)) = -((1 - cos(z))/(2))^(1/2)
 
Sin[Divide[z,2]] == -(Divide[1 - Cos[z],2])^(1/2)
 Failure Failure
Failed [5 / 7]
Result: .8655770340+.4585952894*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}

Result: .5419255224-.8655716642*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}

Result: 1.363277520
Test Values: {z = 1.5}

Result: .4948079184
Test Values: {z = .5}

... skip entries to safe data
Failed [5 / 7]
Result: Complex[0.8655770337160631, 0.4585952893468805]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.5419255224573365, -0.8655716640572731]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.21.E22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\frac{z}{2}} = +\left(\frac{1+\cos@@{z}}{2}\right)^{1/2}}
\cos@@{\frac{z}{2}} = +\left(\frac{1+\cos@@{z}}{2}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos((z)/(2)) = +((1 + cos(z))/(2))^(1/2)
 
Cos[Divide[z,2]] == +(Divide[1 + Cos[z],2])^(1/2)
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.21.E22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\frac{z}{2}} = -\left(\frac{1+\cos@@{z}}{2}\right)^{1/2}}
\cos@@{\frac{z}{2}} = -\left(\frac{1+\cos@@{z}}{2}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos((z)/(2)) = -((1 + cos(z))/(2))^(1/2)
 
Cos[Divide[z,2]] == -(Divide[1 + Cos[z],2])^(1/2)
 Failure Failure
Failed [7 / 7]
Result: 1.872439139-.2119959694*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}

Result: 2.122352334+.2210167318*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}

Result: 2.122352334+.2210167318*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}

Result: 1.872439139-.2119959694*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [7 / 7]
Result: Complex[1.872439138961815, -0.2119959693051084]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[2.1223523339444896, 0.22101673165487346]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.21.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{\frac{z}{2}} = +\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2}}
\tan@@{\frac{z}{2}} = +\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan((z)/(2)) = +((1 - cos(z))/(1 + cos(z)))^(1/2)
 
Tan[Divide[z,2]] == +(Divide[1 - Cos[z],1 + Cos[z]])^(1/2)
 Failure Failure
Failed [2 / 7]
Result: -.4211742148+.8595320616*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}

Result: -.8580864930-.5869891489*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
Failed [2 / 7]
Result: Complex[-0.4211742148849969, 0.8595320613685856]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[-0.858086492859854, -0.5869891488727426]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

4.21.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{\frac{z}{2}} = -\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2}}
\tan@@{\frac{z}{2}} = -\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan((z)/(2)) = -((1 - cos(z))/(1 + cos(z)))^(1/2)
 
Tan[Divide[z,2]] == -(Divide[1 - Cos[z],1 + Cos[z]])^(1/2)
 Failure Failure
Failed [5 / 7]
Result: .8580864930+.5869891489*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}

Result: .4211742148-.8595320616*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}

Result: 1.863192920
Test Values: {z = 1.5}

Result: .5106838424
Test Values: {z = .5}

... skip entries to safe data
Failed [5 / 7]
Result: Complex[0.858086492859854, 0.5869891488727426]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.4211742148849973, -0.8595320613685857]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.21.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle +\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2} = \frac{1-\cos@@{z}}{\sin@@{z}}}
+\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2} = \frac{1-\cos@@{z}}{\sin@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
+((1 - cos(z))/(1 + cos(z)))^(1/2) = (1 - cos(z))/(sin(z))
 
+(Divide[1 - Cos[z],1 + Cos[z]])^(1/2) == Divide[1 - Cos[z],Sin[z]]
 Failure Failure
Failed [2 / 7]
Result: .4211742148-.8595320615*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}

Result: .8580864930+.5869891489*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
Failed [2 / 7]
Result: Complex[0.42117421488499684, -0.8595320613685857]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

Result: Complex[0.8580864928598539, 0.5869891488727426]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}

4.21.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2} = \frac{1-\cos@@{z}}{\sin@@{z}}}
-\left(\frac{1-\cos@@{z}}{1+\cos@@{z}}\right)^{1/2} = \frac{1-\cos@@{z}}{\sin@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
-((1 - cos(z))/(1 + cos(z)))^(1/2) = (1 - cos(z))/(sin(z))
 
-(Divide[1 - Cos[z],1 + Cos[z]])^(1/2) == Divide[1 - Cos[z],Sin[z]]
 Failure Failure
Failed [5 / 7]
Result: -.8580864930-.5869891489*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}

Result: -.4211742148+.8595320615*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}

Result: -1.863192920
Test Values: {z = 1.5}

Result: -.5106838424
Test Values: {z = .5}

... skip entries to safe data
Failed [5 / 7]
Result: Complex[-0.8580864928598539, -0.5869891488727426]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-0.4211742148849972, 0.8595320613685855]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}

... skip entries to safe data
4.21.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1-\cos@@{z}}{\sin@@{z}} = \frac{\sin@@{z}}{1+\cos@@{z}}}
\frac{1-\cos@@{z}}{\sin@@{z}} = \frac{\sin@@{z}}{1+\cos@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(1 - cos(z))/(sin(z)) = (sin(z))/(1 + cos(z))
 
Divide[1 - Cos[z],Sin[z]] == Divide[Sin[z],1 + Cos[z]]
 Successful Successful Skip - symbolical successful subtest Successful [Tested: 7]
4.21.E24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{-z} = -\sin@@{z}}
\sin@{-z} = -\sin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(- z) = - sin(z)
 
Sin[- z] == - Sin[z]
 Successful Successful - Successful [Tested: 7]
4.21.E25 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{-z} = \cos@@{z}}
\cos@{-z} = \cos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(- z) = cos(z)
 
Cos[- z] == Cos[z]
 Successful Successful - Successful [Tested: 7]
4.21.E26 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{-z} = -\tan@@{z}}
\tan@{-z} = -\tan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(- z) = - tan(z)
 
Tan[- z] == - Tan[z]
 Successful Successful - Successful [Tested: 7]
4.21.E27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{2z} = 2\sin@@{z}\cos@@{z}}
\sin@{2z} = 2\sin@@{z}\cos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(2*z) = 2*sin(z)*cos(z)
 
Sin[2*z] == 2*Sin[z]*Cos[z]
 Successful Successful - Successful [Tested: 7]
4.21.E27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sin@@{z}\cos@@{z} = \frac{2\tan@@{z}}{1+\tan^{2}@@{z}}}
2\sin@@{z}\cos@@{z} = \frac{2\tan@@{z}}{1+\tan^{2}@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
2*sin(z)*cos(z) = (2*tan(z))/(1 + (tan(z))^(2))
 
2*Sin[z]*Cos[z] == Divide[2*Tan[z],1 + (Tan[z])^(2)]
 Successful Successful - Successful [Tested: 7]
4.21.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{2z} = 2\cos^{2}@@{z}-1}
\cos@{2z} = 2\cos^{2}@@{z}-1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(2*z) = 2*(cos(z))^(2)- 1
 
Cos[2*z] == 2*(Cos[z])^(2)- 1
 Successful Successful - Successful [Tested: 7]
4.21.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\cos^{2}@@{z}-1 = 1-2\sin^{2}@@{z}}
2\cos^{2}@@{z}-1 = 1-2\sin^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
2*(cos(z))^(2)- 1 = 1 - 2*(sin(z))^(2)
 
2*(Cos[z])^(2)- 1 == 1 - 2*(Sin[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.21.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1-2\sin^{2}@@{z} = \cos^{2}@@{z}-\sin^{2}@@{z}}
1-2\sin^{2}@@{z} = \cos^{2}@@{z}-\sin^{2}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
1 - 2*(sin(z))^(2) = (cos(z))^(2)- (sin(z))^(2)
 
1 - 2*(Sin[z])^(2) == (Cos[z])^(2)- (Sin[z])^(2)
 Successful Successful - Successful [Tested: 7]
4.21.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos^{2}@@{z}-\sin^{2}@@{z} = \frac{1-\tan^{2}@@{z}}{1+\tan^{2}@@{z}}}
\cos^{2}@@{z}-\sin^{2}@@{z} = \frac{1-\tan^{2}@@{z}}{1+\tan^{2}@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(cos(z))^(2)- (sin(z))^(2) = (1 - (tan(z))^(2))/(1 + (tan(z))^(2))
 
(Cos[z])^(2)- (Sin[z])^(2) == Divide[1 - (Tan[z])^(2),1 + (Tan[z])^(2)]
 Successful Successful - Successful [Tested: 7]
4.21.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{2z} = \frac{2\tan@@{z}}{1-\tan^{2}@@{z}}}
\tan@{2z} = \frac{2\tan@@{z}}{1-\tan^{2}@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(2*z) = (2*tan(z))/(1 - (tan(z))^(2))
 
Tan[2*z] == Divide[2*Tan[z],1 - (Tan[z])^(2)]
 Successful Successful - Successful [Tested: 7]
4.21.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{2\tan@@{z}}{1-\tan^{2}@@{z}} = \frac{2\cot@@{z}}{\cot^{2}@@{z}-1}}
\frac{2\tan@@{z}}{1-\tan^{2}@@{z}} = \frac{2\cot@@{z}}{\cot^{2}@@{z}-1}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(2*tan(z))/(1 - (tan(z))^(2)) = (2*cot(z))/((cot(z))^(2)- 1)
 
Divide[2*Tan[z],1 - (Tan[z])^(2)] == Divide[2*Cot[z],(Cot[z])^(2)- 1]
 Successful Successful - Successful [Tested: 7]
4.21.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{2\cot@@{z}}{\cot^{2}@@{z}-1} = \frac{2}{\cot@@{z}-\tan@@{z}}}
\frac{2\cot@@{z}}{\cot^{2}@@{z}-1} = \frac{2}{\cot@@{z}-\tan@@{z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(2*cot(z))/((cot(z))^(2)- 1) = (2)/(cot(z)- tan(z))
 
Divide[2*Cot[z],(Cot[z])^(2)- 1] == Divide[2,Cot[z]- Tan[z]]
 Successful Successful - Successful [Tested: 7]
4.21.E30 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{3z} = 3\sin@@{z}-4\sin^{3}@@{z}}
\sin@{3z} = 3\sin@@{z}-4\sin^{3}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(3*z) = 3*sin(z)- 4*(sin(z))^(3)
 
Sin[3*z] == 3*Sin[z]- 4*(Sin[z])^(3)
 Successful Successful - Successful [Tested: 7]
4.21.E31 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{3z} = -3\cos@@{z}+4\cos^{3}@@{z}}
\cos@{3z} = -3\cos@@{z}+4\cos^{3}@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(3*z) = - 3*cos(z)+ 4*(cos(z))^(3)
 
Cos[3*z] == - 3*Cos[z]+ 4*(Cos[z])^(3)
 Successful Successful - Successful [Tested: 7]
4.21.E32 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{4z} = 8\cos^{3}@@{z}\sin@@{z}-4\cos@@{z}\sin@@{z}}
\sin@{4z} = 8\cos^{3}@@{z}\sin@@{z}-4\cos@@{z}\sin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(4*z) = 8*(cos(z))^(3)* sin(z)- 4*cos(z)*sin(z)
 
Sin[4*z] == 8*(Cos[z])^(3)* Sin[z]- 4*Cos[z]*Sin[z]
 Successful Successful - Successful [Tested: 7]
4.21.E33 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{4z} = 8\cos^{4}@@{z}-8\cos^{2}@@{z}+1}
\cos@{4z} = 8\cos^{4}@@{z}-8\cos^{2}@@{z}+1		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(4*z) = 8*(cos(z))^(4)- 8*(cos(z))^(2)+ 1
 
Cos[4*z] == 8*(Cos[z])^(4)- 8*(Cos[z])^(2)+ 1
 Successful Successful - Successful [Tested: 7]
4.21.E34 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{nz}+i\sin@{nz} = (\cos@@{z}+i\sin@@{z})^{n}}
\cos@{nz}+i\sin@{nz} = (\cos@@{z}+i\sin@@{z})^{n}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(n*z)+ I*sin(n*z) = (cos(z)+ I*sin(z))^(n)
 
Cos[n*z]+ I*Sin[n*z] == (Cos[z]+ I*Sin[z])^(n)
 Successful Failure - Successful [Tested: 21]
4.21.E35 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{nz} = 2^{n-1}\prod_{k=0}^{n-1}\sin@{z+\frac{k\pi}{n}}}
\sin@{nz} = 2^{n-1}\prod_{k=0}^{n-1}\sin@{z+\frac{k\pi}{n}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(n*z) = (2)^(n - 1)* product(sin(z +(k*Pi)/(n)), k = 0..n - 1)
 
Sin[n*z] == (2)^(n - 1)* Product[Sin[z +Divide[k*Pi,n]], {k, 0, n - 1}, GenerateConditions->None]
 Failure Successful Successful [Tested: 21] Successful [Tested: 7]
4.21#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{z} = \frac{2t}{1+t^{2}}}
\sin@@{z} = \frac{2t}{1+t^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(z) = (2*t)/(1 + (t)^(2))
 
Sin[z] == Divide[2*t,1 + (t)^(2)]
 Failure Failure
Failed [42 / 42]
Result: 1.782057258+.3375964631*I
Test Values: {t = -1.5, z = 1/2*3^(1/2)+1/2*I}

Result: .2523455641+.8586367171*I
Test Values: {t = -1.5, z = -1/2+1/2*I*3^(1/2)}

Result: 1.593808282-.8586367171*I
Test Values: {t = -1.5, z = 1/2-1/2*I*3^(1/2)}

Result: .640965885e-1-.3375964631*I
Test Values: {t = -1.5, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [42 / 42]
Result: Complex[1.782057257377061, 0.33759646322287]
Test Values: {Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[0.25234556426971166, 0.8586367168171449]
Test Values: {Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.21#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z} = \frac{1-t^{2}}{1+t^{2}}}
\cos@@{z} = \frac{1-t^{2}}{1+t^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z) = (1 - (t)^(2))/(1 + (t)^(2))
 
Cos[z] == Divide[1 - (t)^(2),1 + (t)^(2)]
 Failure Failure
Failed [42 / 42]
Result: 1.115158404-.3969495503*I
Test Values: {t = -1.5, z = 1/2*3^(1/2)+1/2*I}

Result: 1.612380902+.4690753764*I
Test Values: {t = -1.5, z = -1/2+1/2*I*3^(1/2)}

Result: 1.612380902+.4690753764*I
Test Values: {t = -1.5, z = 1/2-1/2*I*3^(1/2)}

Result: 1.115158404-.3969495503*I
Test Values: {t = -1.5, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [42 / 42]
Result: Complex[1.1151584036726099, -0.3969495502290325]
Test Values: {Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.612380901479495, 0.46907537626850365]
Test Values: {Rule[t, -1.5], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.21.E37 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{z} = \sin@@{x}\cosh@@{y}+\iunit\cos@@{x}\sinh@@{y}}
\sin@@{z} = \sin@@{x}\cosh@@{y}+\iunit\cos@@{x}\sinh@@{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(x + y*I) = sin(x)*cosh(y)+ I*cos(x)*sinh(y)
 
Sin[x + y*I] == Sin[x]*Cosh[y]+ I*Cos[x]*Sinh[y]
 Successful Successful - Successful [Tested: 18]
4.21.E38 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z} = \cos@@{x}\cosh@@{y}-\iunit\sin@@{x}\sinh@@{y}}
\cos@@{z} = \cos@@{x}\cosh@@{y}-\iunit\sin@@{x}\sinh@@{y}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(x + y*I) = cos(x)*cosh(y)- I*sin(x)*sinh(y)
 
Cos[x + y*I] == Cos[x]*Cosh[y]- I*Sin[x]*Sinh[y]
 Successful Successful - Successful [Tested: 18]
4.21.E39 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{z} = \frac{\sin@{2x}+\iunit\sinh@{2y}}{\cos@{2x}+\cosh@{2y}}}
\tan@@{z} = \frac{\sin@{2x}+\iunit\sinh@{2y}}{\cos@{2x}+\cosh@{2y}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
tan(x + y*I) = (sin(2*x)+ I*sinh(2*y))/(cos(2*x)+ cosh(2*y))
 
Tan[x + y*I] == Divide[Sin[2*x]+ I*Sinh[2*y],Cos[2*x]+ Cosh[2*y]]
 Successful Successful - Successful [Tested: 18]
4.21.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{z} = \frac{\sin@{2x}-\iunit\sinh@{2y}}{\cosh@{2y}-\cos@{2x}}}
\cot@@{z} = \frac{\sin@{2x}-\iunit\sinh@{2y}}{\cosh@{2y}-\cos@{2x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(x + y*I) = (sin(2*x)- I*sinh(2*y))/(cosh(2*y)- cos(2*x))
 
Cot[x + y*I] == Divide[Sin[2*x]- I*Sinh[2*y],Cosh[2*y]- Cos[2*x]]
 Successful Successful - Successful [Tested: 18]
4.21.E41 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sin@@{z}| = (\sin^{2}@@{x}+\sinh^{2}@@{y})^{1/2}}
|\sin@@{z}| = (\sin^{2}@@{x}+\sinh^{2}@@{y})^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(sin(x + y*I)) = ((sin(x))^(2)+ (sinh(y))^(2))^(1/2)
 
Abs[Sin[x + y*I]] == ((Sin[x])^(2)+ (Sinh[y])^(2))^(1/2)
 Successful Failure - Successful [Tested: 18]
4.21.E41 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\sin^{2}@@{x}+\sinh^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}\left(\cosh@{2y}-\cos@{2x}\right)\right)^{1/2}}
(\sin^{2}@@{x}+\sinh^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}\left(\cosh@{2y}-\cos@{2x}\right)\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
((sin(x))^(2)+ (sinh(y))^(2))^(1/2) = ((1)/(2)*(cosh(2*y)- cos(2*x)))^(1/2)
 
((Sin[x])^(2)+ (Sinh[y])^(2))^(1/2) == (Divide[1,2]*(Cosh[2*y]- Cos[2*x]))^(1/2)
 Successful Successful - Successful [Tested: 18]
4.21.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\cos@@{z}| = (\cos^{2}@@{x}+\sinh^{2}@@{y})^{1/2}}
|\cos@@{z}| = (\cos^{2}@@{x}+\sinh^{2}@@{y})^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(cos(x + y*I)) = ((cos(x))^(2)+ (sinh(y))^(2))^(1/2)
 
Abs[Cos[x + y*I]] == ((Cos[x])^(2)+ (Sinh[y])^(2))^(1/2)
 Successful Failure - Successful [Tested: 18]
4.21.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\cos^{2}@@{x}+\sinh^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2y}+\cos@{2x})\right)^{1/2}}
(\cos^{2}@@{x}+\sinh^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2y}+\cos@{2x})\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
((cos(x))^(2)+ (sinh(y))^(2))^(1/2) = ((1)/(2)*(cosh(2*y)+ cos(2*x)))^(1/2)
 
((Cos[x])^(2)+ (Sinh[y])^(2))^(1/2) == (Divide[1,2]*(Cosh[2*y]+ Cos[2*x]))^(1/2)
 Successful Successful - Successful [Tested: 18]
4.21.E43 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\tan@@{z}| = \left(\frac{\cosh@{2y}-\cos@{2x}}{\cosh@{2y}+\cos@{2x}}\right)^{1/2}}
|\tan@@{z}| = \left(\frac{\cosh@{2y}-\cos@{2x}}{\cosh@{2y}+\cos@{2x}}\right)^{1/2}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
abs(tan(x + y*I)) = ((cosh(2*y)- cos(2*x))/(cosh(2*y)+ cos(2*x)))^(1/2)
 
Abs[Tan[x + y*I]] == (Divide[Cosh[2*y]- Cos[2*x],Cosh[2*y]+ Cos[2*x]])^(1/2)
 Successful Failure - Successful [Tested: 18]
4.22.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{z} = z\prod_{n=1}^{\infty}\left(1-\frac{z^{2}}{n^{2}\pi^{2}}\right)}
\sin@@{z} = z\prod_{n=1}^{\infty}\left(1-\frac{z^{2}}{n^{2}\pi^{2}}\right)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
sin(z) = z*product(1 -((z)^(2))/((n)^(2)* (Pi)^(2)), n = 1..infinity)
 
Sin[z] == z*Product[1 -Divide[(z)^(2),(n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 7]
4.22.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z} = \prod_{n=1}^{\infty}\left(1-\frac{4z^{2}}{(2n-1)^{2}\pi^{2}}\right)}
\cos@@{z} = \prod_{n=1}^{\infty}\left(1-\frac{4z^{2}}{(2n-1)^{2}\pi^{2}}\right)		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cos(z) = product(1 -(4*(z)^(2))/((2*n - 1)^(2)* (Pi)^(2)), n = 1..infinity)
 
Cos[z] == Product[1 -Divide[4*(z)^(2),(2*n - 1)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 7]
4.22.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z^{2}-n^{2}\pi^{2}}}
\cot@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z^{2}-n^{2}\pi^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
cot(z) = (1)/(z)+ 2*z*sum((1)/((z)^(2)- (n)^(2)* (Pi)^(2)), n = 1..infinity)
 
Cot[z] == Divide[1,z]+ 2*z*Sum[Divide[1,(z)^(2)- (n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.22.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csc^{2}@@{z} = \sum_{n=-\infty}^{\infty}\frac{1}{(z-n\pi)^{2}}}
\csc^{2}@@{z} = \sum_{n=-\infty}^{\infty}\frac{1}{(z-n\pi)^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
(csc(z))^(2) = sum((1)/((z - n*Pi)^(2)), n = - infinity..infinity)
 
(Csc[z])^(2) == Sum[Divide[1,(z - n*Pi)^(2)], {n, - Infinity, Infinity}, GenerateConditions->None]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.22.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csc@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{(-1)^{n}}{z^{2}-n^{2}\pi^{2}}}
\csc@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{(-1)^{n}}{z^{2}-n^{2}\pi^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
csc(z) = (1)/(z)+ 2*z*sum(((- 1)^(n))/((z)^(2)- (n)^(2)* (Pi)^(2)), n = 1..infinity)
 
Csc[z] == Divide[1,z]+ 2*z*Sum[Divide[(- 1)^(n),(z)^(2)- (n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None]
 Successful Successful - Successful [Tested: 7]
4.23.E1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{z} = \int_{0}^{z}\frac{\diff{t}}{(1-t^{2})^{1/2}}}
\Asin@@{z} = \int_{0}^{z}\frac{\diff{t}}{(1-t^{2})^{1/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcSin[z] == Integrate[Divide[1,(1 - (t)^(2))^(1/2)], {t, 0, z}, GenerateConditions->None]
 Missing Macro Error Successful - Successful [Tested: 7]
4.23.E2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acos@@{z} = \int_{z}^{1}\frac{\diff{t}}{(1-t^{2})^{1/2}}}
\Acos@@{z} = \int_{z}^{1}\frac{\diff{t}}{(1-t^{2})^{1/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcCos[z] == Integrate[Divide[1,(1 - (t)^(2))^(1/2)], {t, z, 1}, GenerateConditions->None]
 Missing Macro Error Successful - Successful [Tested: 7]
4.23.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{z} = \int_{0}^{z}\frac{\diff{t}}{1+t^{2}}}
\Atan@@{z} = \int_{0}^{z}\frac{\diff{t}}{1+t^{2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcTan[z] == Integrate[Divide[1,1 + (t)^(2)], {t, 0, z}, GenerateConditions->None]
 Missing Macro Error Successful - Successful [Tested: 1]
4.23.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acsc@@{z} = \Asin@{1/z}}
\Acsc@@{z} = \Asin@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcCsc[z] == ArcSin[1/z]
 Missing Macro Error Successful - Successful [Tested: 7]
4.23.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asec@@{z} = \Acos@{1/z}}
\Asec@@{z} = \Acos@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcSec[z] == ArcCos[1/z]
 Missing Macro Error Successful - Successful [Tested: 7]
4.23.E6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acot@@{z} = \Atan@{1/z}}
\Acot@@{z} = \Atan@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcCot[z] == ArcTan[1/z]
 Missing Macro Error Successful - Successful [Tested: 7]
4.23.E7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsc@@{z} = \asin@{1/z}}
\acsc@@{z} = \asin@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccsc(z) = arcsin(1/z)
 
ArcCsc[z] == ArcSin[1/z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asec@@{z} = \acos@{1/z}}
\asec@@{z} = \acos@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsec(z) = arccos(1/z)
 
ArcSec[z] == ArcCos[1/z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acot@@{z} = \atan@{1/z}}
\acot@@{z} = \atan@{1/z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccot(z) = arctan(1/z)
 
ArcCot[z] == ArcTan[1/z]
 Failure Successful
Failed [2 / 7]
Result: 3.141592654+0.*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}

Result: 3.141592654+0.*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2}

 Successful [Tested: 1]
4.23.E10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@{-z} = -\asin@@{z}}
\asin@{-z} = -\asin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(- z) = - arcsin(z)
 
ArcSin[- z] == - ArcSin[z]
 Successful Successful - Successful [Tested: 7]
4.23.E11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@{-z} = \pi-\acos@@{z}}
\acos@{-z} = \pi-\acos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(- z) = Pi - arccos(z)
 
ArcCos[- z] == Pi - ArcCos[z]
 Successful Successful - Successful [Tested: 7]
4.23.E12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@{-z} = -\atan@@{z}}
\atan@{-z} = -\atan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arctan(- z) = - arctan(z)
 
ArcTan[- z] == - ArcTan[z]
 Successful Successful - Successful [Tested: 1]
4.23.E13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsc@{-z} = -\acsc@@{z}}
\acsc@{-z} = -\acsc@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccsc(- z) = - arccsc(z)
 
ArcCsc[- z] == - ArcCsc[z]
 Successful Successful - Successful [Tested: 7]
4.23.E14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asec@{-z} = \pi-\asec@@{z}}
\asec@{-z} = \pi-\asec@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsec(- z) = Pi - arcsec(z)
 
ArcSec[- z] == Pi - ArcSec[z]
 Successful Successful - Successful [Tested: 7]
4.23.E15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acot@{-z} = -\acot@@{z}}
\acot@{-z} = -\acot@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccot(- z) = - arccot(z)
 
ArcCot[- z] == - ArcCot[z]
 Failure Successful Skip - No test values generated Successful [Tested: 1]
4.23.E16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{z} = \tfrac{1}{2}\pi-\asin@@{z}}
\acos@@{z} = \tfrac{1}{2}\pi-\asin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(z) = (1)/(2)*Pi - arcsin(z)
 
ArcCos[z] == Divide[1,2]*Pi - ArcSin[z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asec@@{z} = \tfrac{1}{2}\pi-\acsc@@{z}}
\asec@@{z} = \tfrac{1}{2}\pi-\acsc@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsec(z) = (1)/(2)*Pi - arccsc(z)
 
ArcSec[z] == Divide[1,2]*Pi - ArcCsc[z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acot@@{z} = +\tfrac{1}{2}\pi-\atan@@{z}}
\acot@@{z} = +\tfrac{1}{2}\pi-\atan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccot(z) = +(1)/(2)*Pi - arctan(z)
 
ArcCot[z] == +Divide[1,2]*Pi - ArcTan[z]
 Successful Failure Skip - symbolical successful subtest Successful [Tested: 1]
4.23.E18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acot@@{z} = -\tfrac{1}{2}\pi-\atan@@{z}}
\acot@@{z} = -\tfrac{1}{2}\pi-\atan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccot(z) = -(1)/(2)*Pi - arctan(z)
 
ArcCot[z] == -Divide[1,2]*Pi - ArcTan[z]
 Failure Failure
Failed [7 / 7]
Result: 3.141592654+0.*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 1/2}

Result: 3.141592654+0.*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}

Result: 3.141592654+0.*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 1/2}

Result: 3.141592654+0.*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2}

... skip entries to safe data
Failed [1 / 1]
Result: 3.141592653589793
Test Values: {Rule[z, Rational[1, 2]]}

4.23.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{z} = -i\ln@{(1-z^{2})^{1/2}+iz}}
\asin@@{z} = -i\ln@{(1-z^{2})^{1/2}+iz}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(z) = - I*ln((1 - (z)^(2))^(1/2)+ I*z)
 
ArcSin[z] == - I*Log[(1 - (z)^(2))^(1/2)+ I*z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{x} = \tfrac{1}{2}\pi+ i\ln@{(x^{2}-1)^{1/2}+x}}
\asin@@{x} = \tfrac{1}{2}\pi+ i\ln@{(x^{2}-1)^{1/2}+x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(x) = (1)/(2)*Pi + I*ln(((x)^(2)- 1)^(1/2)+ x)
 
ArcSin[x] == Divide[1,2]*Pi + I*Log[((x)^(2)- 1)^(1/2)+ x]
 Failure Failure
Failed [2 / 3]
Result: 0.-1.924847300*I
Test Values: {x = 1.5, x = 3/2}

Result: 0.-2.633915794*I
Test Values: {x = 2, x = 3/2}
Failed [1 / 1]
Result: Complex[0.0, -1.9248473002384139]
Test Values: {Rule[x, Rational[3, 2]]}

4.23.E20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{x} = \tfrac{1}{2}\pi- i\ln@{(x^{2}-1)^{1/2}+x}}
\asin@@{x} = \tfrac{1}{2}\pi- i\ln@{(x^{2}-1)^{1/2}+x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(x) = (1)/(2)*Pi - I*ln(((x)^(2)- 1)^(1/2)+ x)
 
ArcSin[x] == Divide[1,2]*Pi - I*Log[((x)^(2)- 1)^(1/2)+ x]
 Failure Failure
Failed [1 / 3]
Result: -2.094395102+.1347500000e-10*I
Test Values: {x = .5, x = 3/2}

 Successful [Tested: 1]
4.23.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{x} = -\tfrac{1}{2}\pi+ i\ln@{(x^{2}-1)^{1/2}-x}}
\asin@@{x} = -\tfrac{1}{2}\pi+ i\ln@{(x^{2}-1)^{1/2}-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(x) = -(1)/(2)*Pi + I*ln(((x)^(2)- 1)^(1/2)- x)
 
ArcSin[x] == -Divide[1,2]*Pi + I*Log[((x)^(2)- 1)^(1/2)- x]
 Failure Failure
Failed [3 / 3]
Result: 6.283185308+.7e-9*I
Test Values: {x = 1.5, x = -2}

Result: 4.188790205-.1347500000e-10*I
Test Values: {x = .5, x = -2}

Result: 6.283185308+.2e-8*I
Test Values: {x = 2, x = -2}

 Successful [Tested: 1]
4.23.E21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{x} = -\tfrac{1}{2}\pi- i\ln@{(x^{2}-1)^{1/2}-x}}
\asin@@{x} = -\tfrac{1}{2}\pi- i\ln@{(x^{2}-1)^{1/2}-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(x) = -(1)/(2)*Pi - I*ln(((x)^(2)- 1)^(1/2)- x)
 
ArcSin[x] == -Divide[1,2]*Pi - I*Log[((x)^(2)- 1)^(1/2)- x]
 Failure Failure
Failed [2 / 3]
Result: 0.-1.924847301*I
Test Values: {x = 1.5, x = -2}

Result: 0.-2.633915796*I
Test Values: {x = 2, x = -2}
Failed [1 / 1]
Result: Complex[0.0, 2.633915793849633]
Test Values: {Rule[x, -2]}

4.23.E22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{z} = \tfrac{1}{2}\pi+i\ln@{(1-z^{2})^{1/2}+iz}}
\acos@@{z} = \tfrac{1}{2}\pi+i\ln@{(1-z^{2})^{1/2}+iz}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(z) = (1)/(2)*Pi + I*ln((1 - (z)^(2))^(1/2)+ I*z)
 
ArcCos[z] == Divide[1,2]*Pi + I*Log[(1 - (z)^(2))^(1/2)+ I*z]
 Failure Successful Successful [Tested: 7] Successful [Tested: 7]
4.23.E23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{z} = -2i\ln@{\left(\frac{1+z}{2}\right)^{1/2}+i\left(\frac{1-z}{2}\right)^{1/2}}}
\acos@@{z} = -2i\ln@{\left(\frac{1+z}{2}\right)^{1/2}+i\left(\frac{1-z}{2}\right)^{1/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(z) = - 2*I*ln(((1 + z)/(2))^(1/2)+ I*((1 - z)/(2))^(1/2))
 
ArcCos[z] == - 2*I*Log[(Divide[1 + z,2])^(1/2)+ I*(Divide[1 - z,2])^(1/2)]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.23.E24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{x} = - i\ln@{(x^{2}-1)^{1/2}+x}}
\acos@@{x} = - i\ln@{(x^{2}-1)^{1/2}+x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(x) = - I*ln(((x)^(2)- 1)^(1/2)+ x)
 
ArcCos[x] == - I*Log[((x)^(2)- 1)^(1/2)+ x]
 Failure Failure
Failed [2 / 3]
Result: 1.924847300*I
Test Values: {x = 1.5, x = 3/2}

Result: 2.633915794*I
Test Values: {x = 2, x = 3/2}
Failed [1 / 1]
Result: Complex[0.0, 1.9248473002384139]
Test Values: {Rule[x, Rational[3, 2]]}

4.23.E24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{x} = + i\ln@{(x^{2}-1)^{1/2}+x}}
\acos@@{x} = + i\ln@{(x^{2}-1)^{1/2}+x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(x) = + I*ln(((x)^(2)- 1)^(1/2)+ x)
 
ArcCos[x] == + I*Log[((x)^(2)- 1)^(1/2)+ x]
 Failure Failure
Failed [1 / 3]
Result: 2.094395102-.1347500000e-10*I
Test Values: {x = .5, x = 3/2}

 Successful [Tested: 1]
4.23.E25 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{x} = \pi- i\ln@{(x^{2}-1)^{1/2}-x}}
\acos@@{x} = \pi- i\ln@{(x^{2}-1)^{1/2}-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(x) = Pi - I*ln(((x)^(2)- 1)^(1/2)- x)
 
ArcCos[x] == Pi - I*Log[((x)^(2)- 1)^(1/2)- x]
 Failure Failure
Failed [3 / 3]
Result: -6.283185308-.7e-9*I
Test Values: {x = 1.5, x = -2}

Result: -4.188790205+.1347500000e-10*I
Test Values: {x = .5, x = -2}

Result: -6.283185308-.2e-8*I
Test Values: {x = 2, x = -2}

 Successful [Tested: 1]
4.23.E25 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{x} = \pi+ i\ln@{(x^{2}-1)^{1/2}-x}}
\acos@@{x} = \pi+ i\ln@{(x^{2}-1)^{1/2}-x}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(x) = Pi + I*ln(((x)^(2)- 1)^(1/2)- x)
 
ArcCos[x] == Pi + I*Log[((x)^(2)- 1)^(1/2)- x]
 Failure Failure
Failed [2 / 3]
Result: 0.+1.924847301*I
Test Values: {x = 1.5, x = -2}

Result: 0.+2.633915796*I
Test Values: {x = 2, x = -2}
Failed [1 / 1]
Result: Complex[0.0, -2.633915793849633]
Test Values: {Rule[x, -2]}

4.23.E26 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{z} = \frac{i}{2}\ln@{\frac{i+z}{i-z}}}
\atan@@{z} = \frac{i}{2}\ln@{\frac{i+z}{i-z}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arctan(z) = (I)/(2)*ln((I + z)/(I - z))
 
ArcTan[z] == Divide[I,2]*Log[Divide[I + z,I - z]]
 Failure Failure Successful [Tested: 7] Successful [Tested: 7]
4.23.E27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@{iy} = +\frac{1}{2}\pi+\frac{i}{2}\ln@{\frac{y+1}{y-1}}}
\atan@{iy} = +\frac{1}{2}\pi+\frac{i}{2}\ln@{\frac{y+1}{y-1}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arctan(I*y) = +(1)/(2)*Pi +(I)/(2)*ln((y + 1)/(y - 1))
 
ArcTan[I*y] == +Divide[1,2]*Pi +Divide[I,2]*Log[Divide[y + 1,y - 1]]
 Failure Failure
Failed [2 / 6]
Result: -3.141592654-.2e-9*I
Test Values: {y = -1.5, y = -3/2}

Result: -3.141592654+.2e-9*I
Test Values: {y = -2, y = -3/2}
Failed [1 / 1]
Result: Complex[-3.141592653589793, -1.1102230246251565*^-16]
Test Values: {Rule[y, Rational[-3, 2]]}

4.23.E27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@{iy} = -\frac{1}{2}\pi+\frac{i}{2}\ln@{\frac{y+1}{y-1}}}
\atan@{iy} = -\frac{1}{2}\pi+\frac{i}{2}\ln@{\frac{y+1}{y-1}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arctan(I*y) = -(1)/(2)*Pi +(I)/(2)*ln((y + 1)/(y - 1))
 
ArcTan[I*y] == -Divide[1,2]*Pi +Divide[I,2]*Log[Divide[y + 1,y - 1]]
 Failure Failure
Failed [4 / 6]
Result: 3.141592654+.2e-9*I
Test Values: {y = 1.5, y = -3/2}

Result: 3.141592654+.2e-9*I
Test Values: {y = -.5, y = -3/2}

Result: 3.141592654-.2e-9*I
Test Values: {y = .5, y = -3/2}

Result: 3.141592654-.2e-9*I
Test Values: {y = 2, y = -3/2}

 Successful [Tested: 1]
4.23.E28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \sin@@{w}}
z = \sin@@{w}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
z = sin(w)
 
z == Sin[w]
 Failure Failure
Failed [70 / 70]
Result: .70450695e-2+.1624035369*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -1.358980334+.5284289409*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: -.3589803345-1.203621867*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: -1.725005738-.8375964631*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [70 / 70]
Result: Complex[0.007045069484300837, 0.16240353677712993]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.3589803343001376, 0.5284289405615687]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.23.E29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \cos@@{w}}
z = \cos@@{w}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
z = cos(w)
 
z == Cos[w]
 Failure Failure
Failed [70 / 70]
Result: .1354823851+.8969495503*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -1.230543019+1.262974954*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: -.2305430189-.4690758537*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: -1.596568423-.1030504497*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [70 / 70]
Result: Complex[0.13548238472721352, 0.8969495502290324]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.230543019057225, 1.2629749540134712]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.23.E30 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \tan@@{w}}
z = \tan@@{w}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
z = tan(w)
 
z == Tan[w]
 Failure Failure
Failed [70 / 70]
Result: .1520945236-.3500402975*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}

Result: -1.213930880+.159851065e-1*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}

Result: -.2139308804-1.716065702*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}

Result: -1.579956284-1.350040298*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}

... skip entries to safe data
Failed [70 / 70]
Result: Complex[0.1520945235384168, -0.3500402971922752]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.2139308802460218, 0.015985106592163567]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.23.E31 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Asin@@{z}}
w = \Asin@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
w == ArcSin[z]
 Missing Macro Error Failure -
Failed [70 / 70]
Result: Complex[0.0806272403869902, -0.15847894846240845]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[1.2407598364931787, -0.3314429455293106]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.23.E31 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{z} = (-1)^{k}\asin@@{z}+k\pi}
\Asin@@{z} = (-1)^{k}\asin@@{z}+k\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcSin[z] == (- 1)^(k)* ArcSin[z]+ k*Pi
 Missing Macro Error Failure -
Failed [21 / 21]
Result: Complex[-1.5707963267948961, 1.3169578969248168]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: -6.283185307179586
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.23.E32 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Acos@@{z}}
w = \Acos@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
w == ArcCos[z]
 Missing Macro Error Failure -
Failed [70 / 70]
Result: Complex[0.08062724038699065, 1.1584789484624083]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-1.0795053557191978, 1.3314429455293104]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}

... skip entries to safe data
4.23.E32 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acos@@{z} = +\acos@@{z}+2k\pi}
\Acos@@{z} = +\acos@@{z}+2k\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcCos[z] == + ArcCos[z]+ 2*k*Pi
 Missing Macro Error Failure -
Failed [21 / 21]
Result: -6.283185307179586
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: -12.566370614359172
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.23.E32 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acos@@{z} = -\acos@@{z}+2k\pi}
\Acos@@{z} = -\acos@@{z}+2k\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcCos[z] == - ArcCos[z]+ 2*k*Pi
 Missing Macro Error Failure -
Failed [21 / 21]
Result: Complex[-4.71238898038469, -1.3169578969248168]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

Result: Complex[-10.995574287564276, -1.3169578969248168]
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}

... skip entries to safe data
4.23.E33 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Atan@@{z}}
w = \Atan@@{z}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
w == ArcTan[z]
 Missing Macro Error Failure -
Failed [10 / 10]
Result: Complex[0.4023777947836326, 0.49999999999999994]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Rational[1, 2]]}

Result: Complex[-0.9636476090008059, 0.8660254037844387]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[z, Rational[1, 2]]}

... skip entries to safe data
4.23.E33 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{z} = \atan@@{z}+k\pi}
\Atan@@{z} = \atan@@{z}+k\pi		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
Error
 
ArcTan[z] == ArcTan[z]+ k*Pi
 Missing Macro Error Failure -
Failed [3 / 3]
Result: -3.141592653589793
Test Values: {Rule[k, 1], Rule[z, Rational[1, 2]]}

Result: -6.283185307179586
Test Values: {Rule[k, 2], Rule[z, Rational[1, 2]]}

... skip entries to safe data
4.23.E34 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@@{z} = \asin@@{\beta}+\iunit\sign@{y}\ln@{\alpha+(\alpha^{2}-1)^{1/2}}}
\asin@@{z} = \asin@@{\beta}+\iunit\sign@{y}\ln@{\alpha+(\alpha^{2}-1)^{1/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arcsin(x + y*I) = arcsin((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)-(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))+ I*signum(y)*ln(((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)+(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))+(((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)+(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))^(2)- 1)^(1/2))
 
ArcSin[x + y*I] == ArcSin[Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)-Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2)]+ I*Sign[y]*Log[(Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)+Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2))+((Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)+Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2))^(2)- 1)^(1/2)]
 Failure Failure Successful [Tested: 18] Successful [Tested: 18]
4.23.E35 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{z} = \acos@@{\beta}-\iunit\sign@{y}\ln@{\alpha+(\alpha^{2}-1)^{1/2}}}
\acos@@{z} = \acos@@{\beta}-\iunit\sign@{y}\ln@{\alpha+(\alpha^{2}-1)^{1/2}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arccos(x + y*I) = arccos((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)-(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))- I*signum(y)*ln(((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)+(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))+(((1)/(2)*((x + 1)^(2)+ (y)^(2))^(1/2)+(1)/(2)*((x - 1)^(2)+ (y)^(2))^(1/2))^(2)- 1)^(1/2))
 
ArcCos[x + y*I] == ArcCos[Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)-Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2)]- I*Sign[y]*Log[(Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)+Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2))+((Divide[1,2]*((x + 1)^(2)+ (y)^(2))^(1/2)+Divide[1,2]*((x - 1)^(2)+ (y)^(2))^(1/2))^(2)- 1)^(1/2)]
 Failure Failure Successful [Tested: 18] Successful [Tested: 18]
4.23.E36 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{z} = \tfrac{1}{2}\atan@{\frac{2x}{1-x^{2}-y^{2}}}+\tfrac{1}{4}i\ln@{\frac{x^{2}+(y+1)^{2}}{x^{2}+(y-1)^{2}}}}
\atan@@{z} = \tfrac{1}{2}\atan@{\frac{2x}{1-x^{2}-y^{2}}}+\tfrac{1}{4}i\ln@{\frac{x^{2}+(y+1)^{2}}{x^{2}+(y-1)^{2}}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
arctan(x + y*I) = (1)/(2)*arctan((2*x)/(1 - (x)^(2)- (y)^(2)))+(1)/(4)*I*ln(((x)^(2)+(y + 1)^(2))/((x)^(2)+(y - 1)^(2)))
 
ArcTan[x + y*I] == Divide[1,2]*ArcTan[Divide[2*x,1 - (x)^(2)- (y)^(2)]]+Divide[1,4]*I*Log[Divide[(x)^(2)+(y + 1)^(2),(x)^(2)+(y - 1)^(2)]]
 Failure Failure
Failed [16 / 18]
Result: 1.570796327-.1e-9*I
Test Values: {x = 1.5, y = -1.5}

Result: 1.570796327-.1e-9*I
Test Values: {x = 1.5, y = 1.5}

Result: 1.570796327+0.*I
Test Values: {x = 1.5, y = -.5}

Result: 1.570796327+0.*I
Test Values: {x = 1.5, y = .5}

... skip entries to safe data
Failed [16 / 18]
Result: Complex[1.5707963267948968, 1.1102230246251565*^-16]
Test Values: {Rule[x, 1.5], Rule[y, -1.5]}

Result: Complex[1.5707963267948968, -1.6653345369377348*^-16]
Test Values: {Rule[x, 1.5], Rule[y, 1.5]}

... skip entries to safe data
4.23.E39 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Gudermannian@{x} = \int_{0}^{x}\sech@@{t}\diff{t}}
\Gudermannian@{x} = \int_{0}^{x}\sech@@{t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arctan(sinh(x)) = int(sech(t), t = 0..x)
 
Gudermannian[x] == Integrate[Sech[t], {t, 0, x}, GenerateConditions->None]
 Successful Aborted - Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Gudermannian@{x} = 2\atan@{e^{x}}-\tfrac{1}{2}\pi\\}
\Gudermannian@{x} = 2\atan@{e^{x}}-\tfrac{1}{2}\pi\\		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arctan(sinh(x)) = 2*arctan(exp(x))-(1)/(2)*Pi
 
Gudermannian[x] == 2*ArcTan[Exp[x]]-Divide[1,2]*Pi
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\atan@{e^{x}}-\tfrac{1}{2}\pi\\ = \asin@{\tanh@@{x}}}
2\atan@{e^{x}}-\tfrac{1}{2}\pi\\ = \asin@{\tanh@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
2*arctan(exp(x))-(1)/(2)*Pi = arcsin(tanh(x))
 
2*ArcTan[Exp[x]]-Divide[1,2]*Pi == ArcSin[Tanh[x]]
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asin@{\tanh@@{x}} = \acsc@{\coth@@{x}}\\}
\asin@{\tanh@@{x}} = \acsc@{\coth@@{x}}\\		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arcsin(tanh(x)) = arccsc(coth(x))
 
ArcSin[Tanh[x]] == ArcCsc[Coth[x]]
 Failure Successful Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsc@{\coth@@{x}}\\ = \acos@{\sech@@{x}}}
\acsc@{\coth@@{x}}\\ = \acos@{\sech@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arccsc(coth(x)) = arccos(sech(x))
 
ArcCsc[Coth[x]] == ArcCos[Sech[x]]
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@{\sech@@{x}} = \asec@{\cosh@@{x}}\\}
\acos@{\sech@@{x}} = \asec@{\cosh@@{x}}\\		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arccos(sech(x)) = arcsec(cosh(x))
 
ArcCos[Sech[x]] == ArcSec[Cosh[x]]
 Failure Successful Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asec@{\cosh@@{x}}\\ = \atan@{\sinh@@{x}}}
\asec@{\cosh@@{x}}\\ = \atan@{\sinh@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arcsec(cosh(x)) = arctan(sinh(x))
 
ArcSec[Cosh[x]] == ArcTan[Sinh[x]]
 Failure Failure Successful [Tested: 3] Successful [Tested: 3]
4.23.E40 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@{\sinh@@{x}} = \acot@{\csch@@{x}}}
\atan@{\sinh@@{x}} = \acot@{\csch@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} 
arctan(sinh(x)) = arccot(csch(x))
 
ArcTan[Sinh[x]] == ArcCot[Csch[x]]
 Failure Successful Successful [Tested: 3] Successful [Tested: 3]
4.23.E41 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \aGudermannian@{x} = \int_{0}^{x}\sec@@{t}\diff{t}}
\aGudermannian@{x} = \int_{0}^{x}\sec@@{t}\diff{t}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arctanh(sin(x)) = int(sec(t), t = 0..x)
 
InverseGudermannian[x] == Integrate[Sec[t], {t, 0, x}, GenerateConditions->None]
 Failure Aborted Successful [Tested: 2] Successful [Tested: 2]
4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \aGudermannian@{x} = \ln@@{\tan@{\tfrac{1}{2}x+\tfrac{1}{4}\pi}}}
\aGudermannian@{x} = \ln@@{\tan@{\tfrac{1}{2}x+\tfrac{1}{4}\pi}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arctanh(sin(x)) = ln(tan((1)/(2)*x +(1)/(4)*Pi))
 
InverseGudermannian[x] == Log[Tan[Divide[1,2]*x +Divide[1,4]*Pi]]
 Failure Successful Successful [Tested: 2] Successful [Tested: 2]
4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\tan@{\tfrac{1}{2}x+\tfrac{1}{4}\pi}} = \ln@{\sec@@{x}+\tan@@{x}}}
\ln@@{\tan@{\tfrac{1}{2}x+\tfrac{1}{4}\pi}} = \ln@{\sec@@{x}+\tan@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
ln(tan((1)/(2)*x +(1)/(4)*Pi)) = ln(sec(x)+ tan(x))
 
Log[Tan[Divide[1,2]*x +Divide[1,4]*Pi]] == Log[Sec[x]+ Tan[x]]
 Successful Successful Skip - symbolical successful subtest Successful [Tested: 2]
4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@{\sec@@{x}+\tan@@{x}} = \asinh@{\tan@@{x}}}
\ln@{\sec@@{x}+\tan@@{x}} = \asinh@{\tan@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
ln(sec(x)+ tan(x)) = arcsinh(tan(x))
 
Log[Sec[x]+ Tan[x]] == ArcSinh[Tan[x]]
 Failure Failure Successful [Tested: 2]
Failed [1 / 3]
Result: Complex[3.046904887125347, 3.141592653589793]
Test Values: {Rule[x, 2]}

4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{\tan@@{x}} = \acsch@{\cot@@{x}}}
\asinh@{\tan@@{x}} = \acsch@{\cot@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arcsinh(tan(x)) = arccsch(cot(x))
 
ArcSinh[Tan[x]] == ArcCsch[Cot[x]]
 Failure Successful Successful [Tested: 2] Successful [Tested: 2]
4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsch@{\cot@@{x}} = \acosh@{\sec@@{x}}}
\acsch@{\cot@@{x}} = \acosh@{\sec@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arccsch(cot(x)) = arccosh(sec(x))
 
ArcCsch[Cot[x]] == ArcCosh[Sec[x]]
 Failure Failure Successful [Tested: 2]
Failed [1 / 3]
Result: Complex[-3.046904887125347, -3.141592653589793]
Test Values: {Rule[x, 2]}

4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@{\sec@@{x}} = \asech@{\cos@@{x}}}
\acosh@{\sec@@{x}} = \asech@{\cos@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arccosh(sec(x)) = arcsech(cos(x))
 
ArcCosh[Sec[x]] == ArcSech[Cos[x]]
 Failure Successful Successful [Tested: 2] Successful [Tested: 2]
4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asech@{\cos@@{x}} = \atanh@{\sin@@{x}}}
\asech@{\cos@@{x}} = \atanh@{\sin@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arcsech(cos(x)) = arctanh(sin(x))
 
ArcSech[Cos[x]] == ArcTanh[Sin[x]]
 Failure Failure Successful [Tested: 2]
Failed [1 / 3]
Result: Complex[0.0, 3.141592653589793]
Test Values: {Rule[x, 2]}

4.23.E42 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atanh@{\sin@@{x}} = \acoth@{\csc@@{x}}}
\atanh@{\sin@@{x}} = \acoth@{\csc@@{x}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} 
arctanh(sin(x)) = arccoth(csc(x))
 
ArcTanh[Sin[x]] == ArcCoth[Csc[x]]
 Failure Successful Successful [Tested: 2] Successful [Tested: 2]
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