Average Error: 0.3 → 0.3
Time: 20.9s
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 r92251870 = x;
        double r92251871 = 3.0;
        double r92251872 = r92251870 * r92251871;
        double r92251873 = y;
        double r92251874 = r92251872 * r92251873;
        double r92251875 = r92251874 * r92251873;
        return r92251875;
}
↓
double f(double x, double y) {
        double r92251876 = x;
        double r92251877 = 3.0;
        double r92251878 = r92251876 * r92251877;
        double r92251879 = y;
        double r92251880 = r92251878 * r92251879;
        double r92251881 = r92251880 * r92251879;
        return r92251881;
}

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
Target0.3
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 2019173 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"

  :herbie-target
  (* (* x (* 3.0 y)) y)

  (* (* (* x 3.0) y) y))