Average Error: 0.3 → 0.3
Time: 2.7s
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 r977696 = x;
        double r977697 = 3.0;
        double r977698 = r977696 * r977697;
        double r977699 = y;
        double r977700 = r977698 * r977699;
        double r977701 = r977700 * r977699;
        return r977701;
}
↓
double f(double x, double y) {
        double r977702 = x;
        double r977703 = 3.0;
        double r977704 = r977702 * r977703;
        double r977705 = y;
        double r977706 = r977704 * r977705;
        double r977707 = r977706 * r977705;
        return r977707;
}

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 2020057 
(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))