The Synthetically Accessible Virtual Inventory (SAVI) project is an international collaboration between partners in government laboratories, small companies, not-for-profits, and large corporations, to computationally generate a very large number of reliably and inexpensively synthesizable novel screening sample structures. SAVI handles reactions not by virtue of applying simple SMIRKS to a set of building blocks of unknown availability. It instead combines a set of transforms richly annotated with chemical context, coming from, or being newly developed in the mold of, the original LHASA project knowledgebase, with a set of highly annotated, reliably available, purchasable starting materials. These components are tied together for SAVI product generation with the chemoinformatics toolkit CACTVS with custom developments for this project. Each product is annotated with a number of computed properties seen as important in current drug design, including rules for identifying potentially reactive or promiscuous compounds. After having produced and made publicly available the first (beta) set of 283 million SAVI products annotated with proposed one-step syntheses, we will be reporting on the second full production run aimed at creating a database of one billion high-quality, easily synthesizable screening samples. We will present the current status, ongoing developments, as well as scientific and technical challenges of the project.