use std::cell::RefCell;
use std::rc::Rc;
use circuit_cas::circuit::probabilistic::ProbCircuit;
use circuit_cas::circuit::dag::CircuitExt;

fn main() {
    let circuit: Rc<RefCell<ProbCircuit>> = ProbCircuit::new();

    // Build (x + y) * (x + z)
    let x = circuit.var("x");
    let y = circuit.var("y");
    let z = circuit.var("z");

    let x_plus_y = circuit.var("x") + y;
    let x_plus_z = circuit.var("x") + z;
    let expr = x_plus_y * x_plus_z;

    // Deduplication: both x leaves share the same NodeId
    let x2 = circuit.var("x");
    assert_eq!(x.id, x2.id);

    println!("(x + y) * (x + z) root node id: {:?}", expr.id);
    println!("x node id: {:?}", x.id);
    println!("x deduplicated node id: {:?}", x2.id);
}