It didn't actually take too much time to test the changes in Scroll's ability after she upgraded.
In fact, she and Anna had already discussed almost everything before Roland arrived—the answers that appeared after the equations weren't her imagination; however, it also wasn't obtained via calculations, but through a search through her memories.
Because there were large amounts of repeated calculations in data that Scroll had once memorized, the answers emerged in Scroll's mind immediately when she coincidentally came across them once more. Especially for those complex functions, if every little small expression among them had been memorized, then the combined expression after shuffling combinations could also be quickly solved, even if she didn't actually understand the equations and their specific meanings.