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    $\begingroup$ another reference math.stackexchange.com/questions/218832/… $\endgroup$ Commented Jul 9, 2016 at 6:31
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    $\begingroup$ I should probably note that SetPrecision[x, ∞] will return a close dyadic rational approximant to an inexact number x. $\endgroup$ Commented Jul 9, 2016 at 6:53
  • $\begingroup$ Presently I have no time to try a solution but as the Fabius function is solution of a multiplicative delay differential equation --- for $0\leq x\leq 1/2$ you must try to make your own solver with an Euler method and extend it. $\endgroup$ Commented Jul 9, 2016 at 7:05
  • $\begingroup$ I was wondering how to program the Fabius function then I fell on that page math.stackexchange.com/questions/218832/… $\endgroup$ Commented Jul 9, 2016 at 15:13
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    $\begingroup$ gist.github.com/VladimirReshetnikov/… $\endgroup$ Commented Jul 22, 2016 at 16:56