The convert/expln function converts all elementary functions to exp and ln.

$f≔\cos \left(x\right)\sin \left(x\right)\:$

$\mathrm{convert}\left(f\,\mathrm{expln}\right)$

$-\frac{\mathrm{I}}{2}\left(\frac{{\ⅇ}^{\mathrm{I}x}}{2}+\frac{{\ⅇ}^{\mathrm{-I}x}}{2}\right)\left({\ⅇ}^{\mathrm{I}x}-{\ⅇ}^{\mathrm{-I}x}\right)$

$\mathrm{convert}\left(\mathrm{arctanh}\left(x\right)\,\mathrm{expln}\right)$

$\frac{\ln \left(x+1\right)}{2}-\frac{\ln \left(1-x\right)}{2}$

$\mathrm{convert}\left(\mathrm{arctanh}\left(x\right)\,\exp \right)$

$\mathrm{arctanh}\left(x\right)$

$\mathrm{convert}\left(\mathrm{arctanh}\left(x\right)\,\ln \right)$

$\frac{\ln \left(x+1\right)}{2}-\frac{\ln \left(1-x\right)}{2}$