Average Error: 0.3 → 0.3
Time: 23.8s
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 r630518 = x;
        double r630519 = 3.0;
        double r630520 = r630518 * r630519;
        double r630521 = y;
        double r630522 = r630520 * r630521;
        double r630523 = r630522 * r630521;
        return r630523;
}
↓
double f(double x, double y) {
        double r630524 = x;
        double r630525 = 3.0;
        double r630526 = r630524 * r630525;
        double r630527 = y;
        double r630528 = r630526 * r630527;
        double r630529 = r630528 * r630527;
        return r630529;
}

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 2019326 +o rules:numerics
(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))