Average Error: 0.3 → 0.3
Time: 1.6s
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 r719664 = x;
        double r719665 = 3.0;
        double r719666 = r719664 * r719665;
        double r719667 = y;
        double r719668 = r719666 * r719667;
        double r719669 = r719668 * r719667;
        return r719669;
}
↓
double f(double x, double y) {
        double r719670 = x;
        double r719671 = 3.0;
        double r719672 = r719670 * r719671;
        double r719673 = y;
        double r719674 = r719672 * r719673;
        double r719675 = r719674 * r719673;
        return r719675;
}

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 
(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))