Optimal. Leaf size=5 \[ e^{e^x} \]
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Rubi [A] time = 0.0055676, antiderivative size = 5, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.286, Rules used = {2282, 2194} \[ e^{e^x} \]
Antiderivative was successfully verified.
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Rule 2282
Rule 2194
Rubi steps
\begin{align*} \int e^{e^x+x} \, dx &=\operatorname{Subst}\left (\int e^x \, dx,x,e^x\right )\\ &=e^{e^x}\\ \end{align*}
Mathematica [A] time = 0.0047036, size = 5, normalized size = 1. \[ e^{e^x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 4, normalized size = 0.8 \begin{align*}{{\rm e}^{{{\rm e}^{x}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.970828, size = 4, normalized size = 0.8 \begin{align*} e^{\left (e^{x}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.94064, size = 12, normalized size = 2.4 \begin{align*} e^{\left (e^{x}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.623809, size = 3, normalized size = 0.6 \begin{align*} e^{e^{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05456, size = 4, normalized size = 0.8 \begin{align*} e^{\left (e^{x}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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