From unremitting +‎ -ly.

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unremittingly (comparative more unremittingly, superlative most unremittingly)

1. In an unremitting manner.
   • 1860, W[illiam] Winwood Reade, “The Relapse”, in Liberty Hall, Oxon.[…], volume III, London: Charles J[oseph] Skeet,[…], pages 316–317:

     Day by day, those who watched unremittingly by the bed-side, by the sofa, by the pillowed chair, saw hope recede farther and farther from them.

   • 1834, L[etitia] E[lizabeth] L[andon], chapter XIII, in Francesca Carrara.[…], volume III, London: Richard Bentley,[…], (successor to Henry Colburn), →OCLC, page 99:

     Bells ringing, flags waving, may-poles—so long unseen—bonfires in due preparation for night, morris-dancers, who had practised for the last four-and-twenty hours unremittingly to refresh their ancient craft, an ox roasted whole, cakes, ale, crowds, confusion,—all assembled in and about Avonleigh Park, to greet the master's return.

   • 1950, Albert Einstein, Out of My Later Years, Kensington Publishing Corp., page 13; "On Freedom" (1940):

     This freedom of communication is indispensable for the development and extension of scientific knowledge, a consideration of much practical import. In the first instance it must be guaranteed by law. But laws alone cannot secure freedom of expression; in order that every man may present his views without penalty there must be a spirit of tolerance in the entire population. Such an ideal of external liberty can never be fully attained but must be sought unremittingly if scientific thought, and philosophical and creative thinking in general, are to be advanced as far as possible.

   • 1995, David Wills, Prosthesis, Stanford University Press, page 207:

     For the dome of the belly turned arse about has its parallel in the eye that falls out like the contents of a broken egg and that in its evocation of and preempting of regeneration becomes, in Bataille's novel, unremittingly erotic and polymorphously perverse.

• ceaselessly, incessantly, nonstop; see also Thesaurus:continuously