Average Error: 0.3 → 0.3
Time: 12.2s
Precision: 64
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
↓
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
↓
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
double f(double x, double y) {
        double r819867 = x;
        double r819868 = 3.0;
        double r819869 = r819867 * r819868;
        double r819870 = y;
        double r819871 = r819869 * r819870;
        double r819872 = r819871 * r819870;
        return r819872;
}
↓
double f(double x, double y) {
        double r819873 = x;
        double r819874 = 3.0;
        double r819875 = r819873 * r819874;
        double r819876 = y;
        double r819877 = r819875 * r819876;
        double r819878 = r819877 * r819876;
        return r819878;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

  2. Final simplification0.3

    \[\leadsto \left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3 y)) y)

  (* (* (* x 3) y) y))