Average Error: 0.3 → 0.3
Time: 3.5s
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 r692880 = x;
        double r692881 = 3.0;
        double r692882 = r692880 * r692881;
        double r692883 = y;
        double r692884 = r692882 * r692883;
        double r692885 = r692884 * r692883;
        return r692885;
}
↓
double f(double x, double y) {
        double r692886 = x;
        double r692887 = 3.0;
        double r692888 = r692886 * r692887;
        double r692889 = y;
        double r692890 = r692888 * r692889;
        double r692891 = r692890 * r692889;
        return r692891;
}

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 2020033 +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))