> solved problem due to fast breeder reactor
For this we need an industrial model of breeder reactor. Please name it. There is none.
Many nations (US, France, Germany, Japan...) engulfed huge amounts of money on this quest, during decades.
TLDR: this works on lab reactors cajoled by scientists. It doesn't work industrially.
Russia has (by far) the most advanced potentially pertinent reactors ("BN"), and they work so well that this nation pauses on this architecture (sodium) and is back to the lab (300MWe) with another architecture (lead) named "BREST".
> the quantity of waste is drastically reduces
Therefore it would not solve the problem (we would have to put this waste somewhere then pray that nobody ever mingles with it).