Optimal. Leaf size=7 \[ e^{e^{e^x}} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0149321, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 3, number of rules used = 2, integrand size = 12, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.167, Rules used = {2282, 2194} \[ e^{e^{e^x}} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2282
Rule 2194
Rubi steps
\begin{align*} \int e^{e^{e^x}+e^x+x} \, dx &=\operatorname{Subst}\left (\int e^{e^x+x} \, dx,x,e^x\right )\\ &=\operatorname{Subst}\left (\int e^x \, dx,x,e^{e^x}\right )\\ &=e^{e^{e^x}}\\ \end{align*}
Mathematica [A] time = 0.0109893, size = 7, normalized size = 1. \[ e^{e^{e^x}} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.021, size = 5, normalized size = 0.7 \begin{align*}{{\rm e}^{{{\rm e}^{{{\rm e}^{x}}}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.963808, size = 5, normalized size = 0.71 \begin{align*} e^{\left (e^{\left (e^{x}\right )}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.839971, size = 18, normalized size = 2.57 \begin{align*} e^{\left (e^{\left (e^{x}\right )}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.975098, size = 5, normalized size = 0.71 \begin{align*} e^{e^{e^{x}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [F] time = 0., size = 0, normalized size = 0. \begin{align*} \int e^{\left (x + e^{x} + e^{\left (e^{x}\right )}\right )}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]