Optimal. Leaf size=13 \[ \log (\log (\log (10-12 x (1+x)+\log (x)))) \]
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Rubi [A] time = 0.13, antiderivative size = 15, normalized size of antiderivative = 1.15, number of steps used = 1, number of rules used = 1, integrand size = 62, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.016, Rules used = {6684} \begin {gather*} \log \left (\log \left (\log \left (-12 x^2-12 x+\log (x)+10\right )\right )\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 6684
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log \left (\log \left (\log \left (10-12 x-12 x^2+\log (x)\right )\right )\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.33, size = 15, normalized size = 1.15 \begin {gather*} \log \left (\log \left (\log \left (10-12 x-12 x^2+\log (x)\right )\right )\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.46, size = 15, normalized size = 1.15 \begin {gather*} \log \left (\log \left (\log \left (-12 \, x^{2} - 12 \, x + \log \relax (x) + 10\right )\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.36, size = 15, normalized size = 1.15 \begin {gather*} \log \left (\log \left (\log \left (-12 \, x^{2} - 12 \, x + \log \relax (x) + 10\right )\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 16, normalized size = 1.23
method | result | size |
risch | \(\ln \left (\ln \left (\ln \left (\ln \relax (x )-12 x^{2}-12 x +10\right )\right )\right )\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.44, size = 15, normalized size = 1.15 \begin {gather*} \log \left (\log \left (\log \left (-12 \, x^{2} - 12 \, x + \log \relax (x) + 10\right )\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.70, size = 15, normalized size = 1.15 \begin {gather*} \ln \left (\ln \left (\ln \left (\ln \relax (x)-12\,x-12\,x^2+10\right )\right )\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 2.43, size = 17, normalized size = 1.31 \begin {gather*} \log {\left (\log {\left (\log {\left (- 12 x^{2} - 12 x + \log {\relax (x )} + 10 \right )} \right )} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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