Chromatic Sphere's cascade ability from Yidris triggers, causing you to exile Everflowing Chalice from your library and cast it, declining to pay the kicker cost.
Put Everflowing Chalice on the bottom of your library using any "tucking" effect.
Let Chromatic Sphere resolve if it is still on the stack.
Cast any card with mana value 1.
That card's cascade ability triggers, causing you to exile every card in your library and cast Everflowing Chalice.
Choose to pay the kicker cost by paying 1, tapping, and sacrificing Chromatic Sphere to activate it, adding one mana of any color and drawing a card.
This mana ability resolves in the middle of the cascade resolution, so your library is still empty, causing you to win the game instead of drawing a card due to Laboratory Maniac.