Average Error: 0.2 → 0.2
Time: 10.4s
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 r198560 = x;
        double r198561 = y;
        double r198562 = r198560 * r198561;
        double r198563 = r198562 * r198561;
        return r198563;
}
↓
double f(double x, double y) {
        double r198564 = x;
        double r198565 = y;
        double r198566 = r198564 * r198565;
        double r198567 = r198566 * r198565;
        return r198567;
}

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 2019291 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))