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 r903691 = x;
        double r903692 = 3.0;
        double r903693 = r903691 * r903692;
        double r903694 = y;
        double r903695 = r903693 * r903694;
        double r903696 = r903695 * r903694;
        return r903696;
}
↓
double f(double x, double y) {
        double r903697 = x;
        double r903698 = 3.0;
        double r903699 = r903697 * r903698;
        double r903700 = y;
        double r903701 = r903699 * r903700;
        double r903702 = r903701 * r903700;
        return r903702;
}

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 2020100 
(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))