madly, passionately
Nous recherchons éperdument des preuves de notre propre existence.
We desperately search for proof of our own existence.
Il est tombé éperdument amoureux d'elle.
He fell madly in love with her.
J'aimais éperdument Dora Spenlow.
I was madly in love with Dora Spenlow.
— L'Histoire personnelle de David Copperfield (2019)