+ 21844/6081075 * z^13
- 929569/638512875 * z^15
+ ...
- Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^13 term
- is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we can truncate
- the series after the z^11 term.
+ Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+ z^13 term is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we
+ can truncate the series after the z^11 term.
Given the usual bounds LDBL_MAX_EXP <= 16384, LDBL_MIN_EXP >= -16381,
LDBL_MANT_DIG <= 120, we can estimate x: -11440 <= x <= 11357.