Average Error: 0.2 → 0.2
Time: 17.9s
Precision: 64
\[\left(x \cdot y\right) \cdot y\]
↓
\[\left(x \cdot y\right) \cdot y\]
\left(x \cdot y\right) \cdot y
↓
\left(x \cdot y\right) \cdot y
double f(double x, double y) {
        double r148539 = x;
        double r148540 = y;
        double r148541 = r148539 * r148540;
        double r148542 = r148541 * r148540;
        return r148542;
}
↓
double f(double x, double y) {
        double r148543 = x;
        double r148544 = y;
        double r148545 = r148543 * r148544;
        double r148546 = r148545 * r148544;
        return r148546;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))