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Oct 15, 2019 at 4:21 vote accept Ali Taghavi
Oct 14, 2019 at 16:45 comment added YCor @user44191 Thanks! I had actually selected one of two homogeneous terms in my draft, then forgot the other one. It indeed yields $[x+y,[x,y]]$. Corrected.
Oct 14, 2019 at 16:44 history edited YCor CC BY-SA 4.0
fixed Taylor expansion
Oct 14, 2019 at 16:18 comment added user44191 I think your 3rd order Taylor expansion can't be right; there should be some symmetry between $x$ and $y$, which should force a term of the form $[x, [x, y]]$; this can also be seen by looking at the inverse (which takes the form $e^y e^x e^{-y} e^{-x}$). This can be dealt with by slightly more careful manipulation of the coefficients of $x$ and $y$, though.
Oct 14, 2019 at 12:22 history edited Pierre-Yves Gaillard CC BY-SA 4.0
fixed link
Oct 14, 2019 at 12:15 history edited YCor CC BY-SA 4.0
fixed typo
Oct 14, 2019 at 9:18 history answered YCor CC BY-SA 4.0