Average Error: 0.2 → 0.2
Time: 1.4s
Precision: 64
\[\frac{x}{y \cdot 3}\]
\[\frac{x}{y \cdot 3}\]
\frac{x}{y \cdot 3}
\frac{x}{y \cdot 3}
double f(double x, double y) {
        double r809436 = x;
        double r809437 = y;
        double r809438 = 3.0;
        double r809439 = r809437 * r809438;
        double r809440 = r809436 / r809439;
        return r809440;
}

double f(double x, double y) {
        double r809441 = x;
        double r809442 = y;
        double r809443 = 3.0;
        double r809444 = r809442 * r809443;
        double r809445 = r809441 / r809444;
        return r809445;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.3
Herbie0.2
\[\frac{\frac{x}{y}}{3}\]

Derivation

  1. Initial program 0.2

    \[\frac{x}{y \cdot 3}\]
  2. Final simplification0.2

    \[\leadsto \frac{x}{y \cdot 3}\]

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3)

  (/ x (* y 3)))