Note that deliberately failing synthesis is NOT a critical feature of Atelier Totori, unlike it was in Rorona, but the Failure system is in place and can be used. Turn it on if you want those recipe chains, but Supplements are all but useless in this game due to the way the Cost Point system works.
Note that this finder app is a generalized open source project I published:
Feel free to utilize it on your own page – please give me a linkback, either to this page or the GitHub, if you would, though. If you have a CSV file from any Atelier game with recipes and materials, it should work for all of them.