As soon as Rishkar's Expertise has finished resolving, you would lose for trying to draw from an empty library.
Resolving a spell or ability requires every player, in turn-order, to pass priority. Whenever a spell or ability finishes resolving, the active player gets priority. Whenever a player would get priority, state-based actions are checked first. The conditions for losing the game are some of these state-based actions to be checked, so you would lose before Jace has a chance to resolve. With the cards in your scenario, if you can't get Jace out before RE resolves, there is no way of preventing that loss, except not casting RE of course.
Note: Even if Jace was put directly on the battlefield with RE instead of being allowed to cast it, you would still lose. Jace's passive doesn't replace the losing event itself. It replaces the draw from an empty library that would cause the losing event and which would have already happened earlier during RE's resolution.
608.1. Each time all players pass in succession, the spell or ability on top of the stack resolves. (See rule 609, “Effects.”)
117.3b The active player receives priority after a spell or ability (other than a mana ability) resolves.
704.3. Whenever a player would get priority (see rule 117, “Timing and Priority”), the game checks for any of the listed conditions for state-based actions, then performs all applicable state-based actions simultaneously as a single event.
704.5b If a player attempted to draw a card from a library with no cards in it since the last time state-based actions were checked, that player loses the game.