My general ideas on how I would implement a method to recycle nuclear waste completely:

• Ore Acidizer: Block of Nuclear Waste + Sulfuric Acid = Crystalized Nuclear Waste
• Chemical Plant: Crystalized Nuclear Waste + Hydrogen Peroxide = Liquid Nuclear Waste
• Chemical Plant: Gaseous Nuclear Waste + Cryogel = Liquid Nuclear Waste, Tiny Pile of Xenon-135 Powder
• Gas Centrifuge: Liquid Nuclear Waste = Tiny Pile of Mixed Long-Term Nuclear Waste, Tiny Pile of Mixed Short-Term Nuclear Waste, Tiny Pile of Mixed Irradiated Waste, Pile of Fallout
• 9 Tiny Pile of Mixed Long-Term Nuclear Waste = 1 Pile of Mixed Long-Term Nuclear Waste
• 9 Tiny Pile of Mixed Short-Term Nuclear Waste = 1 Pile of Mixed Short-Term Nuclear Waste
• 9 Tiny Pile of Mixed Irradiated Waste = 1 Pile of Mixed Irradiated Waste
• Centrifuge: Pile of Mixed Irradiated Waste = 1 Lead Nugget, 1 Beryllium Nugget, 1 Caesium Nugget
• Nuclear Waste Disposal Drum: Pile of Long-Term Nuclear Waste = Pile of Depleted Long-Term Nuclear Waste
• Nuclear Waste Disposal Drum: Pile of Short-Term Nuclear Waste = Pile of Depleted Short-Term Nuclear Waste
• Centrifuge: Pile of Depleted Long-Term Nuclear Waste = 1 Uranium-238 Nugget, 2 Lead Nugget, 1 Zirconium Splinter
• Centrifuge: Pile of Depleted Short-Term Nuclear Waste = 1 Uranium-233 Nugget, 1 Beryllium Nugget, 1 Plutonium-238 Nugget, 1 Tiny Pile of Cobalt-60 Powder
• SILEX (Infrared): Pile of Depleted Long-Term Nuclear Waste = 1 Tiny Pile of Neodymium Powder, 1 Tiny Pile of Cobalt Powder, 1 Bismuth Nugget
• SILEX (Visible): Pile of Depleted Short-Term Nuclear Waste = 1 Uranium-233 Nugget, 1 Uranium-238 Nugget, 1 Plutonium-238 Nugget, 1 Tiny Pile of Bromine Powder