Optimal. Leaf size=7 \[ e^{e^{e^x}} \]
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Rubi [A] time = 0.01, antiderivative size = 7, normalized size of antiderivative = 1.00, 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.
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Rule 2194
Rule 2282
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*}
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Mathematica [A] time = 0.01, size = 7, normalized size = 1.00 \[ e^{e^{e^x}} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 4, normalized size = 0.57 \[ e^{\left (e^{\left (e^{x}\right )}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [F] time = 0.00, size = 0, normalized size = 0.00 \[ \int e^{\left (x + e^{x} + e^{\left (e^{x}\right )}\right )}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 5, normalized size = 0.71 \[ {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.66, size = 4, normalized size = 0.57 \[ e^{\left (e^{\left (e^{x}\right )}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.46, size = 4, normalized size = 0.57 \[ {\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^x}} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.92, size = 5, normalized size = 0.71 \[ e^{e^{e^{x}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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