Average Error: 0.3 → 0.3
Time: 21.5s
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 r525887 = x;
        double r525888 = 3.0;
        double r525889 = r525887 * r525888;
        double r525890 = y;
        double r525891 = r525889 * r525890;
        double r525892 = r525891 * r525890;
        return r525892;
}
↓
double f(double x, double y) {
        double r525893 = x;
        double r525894 = 3.0;
        double r525895 = r525893 * r525894;
        double r525896 = y;
        double r525897 = r525895 * r525896;
        double r525898 = r525897 * r525896;
        return r525898;
}

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 2019326 
(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))