Average Error: 0.2 → 0.2
Time: 2.5s
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 r4454 = x;
        double r4455 = y;
        double r4456 = 3.0;
        double r4457 = r4455 * r4456;
        double r4458 = r4454 / r4457;
        return r4458;
}
↓
double f(double x, double y) {
        double r4459 = x;
        double r4460 = y;
        double r4461 = 3.0;
        double r4462 = r4460 * r4461;
        double r4463 = r4459 / r4462;
        return r4463;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
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)))