Average Error: 0.3 → 0.3
Time: 3.2s
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 r674886 = x;
        double r674887 = 3.0;
        double r674888 = r674886 * r674887;
        double r674889 = y;
        double r674890 = r674888 * r674889;
        double r674891 = r674890 * r674889;
        return r674891;
}
↓
double f(double x, double y) {
        double r674892 = x;
        double r674893 = 3.0;
        double r674894 = r674892 * r674893;
        double r674895 = y;
        double r674896 = r674894 * r674895;
        double r674897 = r674896 * r674895;
        return r674897;
}

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 2020064 
(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))