Average Error: 0.3 → 0.2
Time: 16.7s
Precision: 64
\[\frac{x}{y \cdot 3.0}\]
↓
\[\frac{\frac{x}{y}}{3.0}\]
\frac{x}{y \cdot 3.0}
↓
\frac{\frac{x}{y}}{3.0}
double f(double x, double y) {
        double r31792113 = x;
        double r31792114 = y;
        double r31792115 = 3.0;
        double r31792116 = r31792114 * r31792115;
        double r31792117 = r31792113 / r31792116;
        return r31792117;
}
↓
double f(double x, double y) {
        double r31792118 = x;
        double r31792119 = y;
        double r31792120 = r31792118 / r31792119;
        double r31792121 = 3.0;
        double r31792122 = r31792120 / r31792121;
        return r31792122;
}

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
Herbie0.2
\[\frac{\frac{x}{y}}{3.0}\]

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3.0}\]
  2. Using strategy rm

  3. Applied associate-/r*0.2

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{3.0}}\]

  4. Final simplification0.2

    \[\leadsto \frac{\frac{x}{y}}{3.0}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

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

  (/ x (* y 3.0)))