Sorry to be a party pooper, the Web app is neat, but I have some reservations about the paper.
Namely, the "powerset of intervals" domain has been known since the '70s [1], and powerset domains have been generalised to arbitrary base domains decades ago [2]. A paper from the mid-2010s on these topics that lacks any engagement with the abstract interpretation literature is a bit disappointing.
As for the interpretation of division suggested here, it makes, say, 1 / S non-distinguishable from 1 / ([0, 0] U S) for any set of intervals S, which sounds suspicious.
[1] Patrick Cousot and Radhia Cousot. 1979. Systematic Design of Program Analysis Frameworks. In 6th ACM Symposium on Principles of Programming Languages (POPL), January 1979. ACM Press, San Antonio, TX, USA, 269–282. https://doi.org/10.1145/567752.567778
[2] Gilberto Filé and Francesco Ranzato. 1999. The Powerset Operator on Abstract Interpretations. Theor. Comput. Sci. 222, 1–2 (1999), 77–111. https://doi.org/10.1016/S0304-3975(98)00007-3