Average Error: 0.3 → 0.3
Time: 3.3s
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 r888076 = x;
        double r888077 = 3.0;
        double r888078 = r888076 * r888077;
        double r888079 = y;
        double r888080 = r888078 * r888079;
        double r888081 = r888080 * r888079;
        return r888081;
}
↓
double f(double x, double y) {
        double r888082 = x;
        double r888083 = 3.0;
        double r888084 = r888082 * r888083;
        double r888085 = y;
        double r888086 = r888084 * r888085;
        double r888087 = r888086 * r888085;
        return r888087;
}

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 2019353 +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))