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 r734989 = x;
        double r734990 = 3.0;
        double r734991 = r734989 * r734990;
        double r734992 = y;
        double r734993 = r734991 * r734992;
        double r734994 = r734993 * r734992;
        return r734994;
}
↓
double f(double x, double y) {
        double r734995 = x;
        double r734996 = 3.0;
        double r734997 = r734995 * r734996;
        double r734998 = y;
        double r734999 = r734997 * r734998;
        double r735000 = r734999 * r734998;
        return r735000;
}

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 2020064 +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))