Average Error: 0.3 → 0.3
Time: 3.0s
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 r864810 = x;
        double r864811 = 3.0;
        double r864812 = r864810 * r864811;
        double r864813 = y;
        double r864814 = r864812 * r864813;
        double r864815 = r864814 * r864813;
        return r864815;
}
↓
double f(double x, double y) {
        double r864816 = x;
        double r864817 = 3.0;
        double r864818 = r864816 * r864817;
        double r864819 = y;
        double r864820 = r864818 * r864819;
        double r864821 = r864820 * r864819;
        return r864821;
}

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
Target0.2
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 2020060 
(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))