Average Error: 5.7 → 0.1
Time: 3.3s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\frac{1 - x}{y} \cdot \frac{3 - x}{3}
double f(double x, double y) {
        double r660969 = 1.0;
        double r660970 = x;
        double r660971 = r660969 - r660970;
        double r660972 = 3.0;
        double r660973 = r660972 - r660970;
        double r660974 = r660971 * r660973;
        double r660975 = y;
        double r660976 = r660975 * r660972;
        double r660977 = r660974 / r660976;
        return r660977;
}
↓
double f(double x, double y) {
        double r660978 = 1.0;
        double r660979 = x;
        double r660980 = r660978 - r660979;
        double r660981 = y;
        double r660982 = r660980 / r660981;
        double r660983 = 3.0;
        double r660984 = r660983 - r660979;
        double r660985 = r660984 / r660983;
        double r660986 = r660982 * r660985;
        return r660986;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.7
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.7

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  2. Using strategy rm

  3. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{1 - x}{y} \cdot \frac{3 - x}{3}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"
  :precision binary64

  :herbie-target
  (* (/ (- 1 x) y) (/ (- 3 x) 3))

  (/ (* (- 1 x) (- 3 x)) (* y 3)))