Average Error: 0.3 → 0.3
Time: 2.8s
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 r750958 = x;
        double r750959 = 3.0;
        double r750960 = r750958 * r750959;
        double r750961 = y;
        double r750962 = r750960 * r750961;
        double r750963 = r750962 * r750961;
        return r750963;
}
↓
double f(double x, double y) {
        double r750964 = x;
        double r750965 = 3.0;
        double r750966 = r750964 * r750965;
        double r750967 = y;
        double r750968 = r750966 * r750967;
        double r750969 = r750968 * r750967;
        return r750969;
}

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 2020018 
(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))