Average Error: 0.3 → 0.3
Time: 19.6s
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 r506516 = x;
        double r506517 = 3.0;
        double r506518 = r506516 * r506517;
        double r506519 = y;
        double r506520 = r506518 * r506519;
        double r506521 = r506520 * r506519;
        return r506521;
}
↓
double f(double x, double y) {
        double r506522 = x;
        double r506523 = 3.0;
        double r506524 = r506522 * r506523;
        double r506525 = y;
        double r506526 = r506524 * r506525;
        double r506527 = r506526 * r506525;
        return r506527;
}

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 2019323 
(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))