Average Error: 5.8 → 0.1
Time: 2.9s
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 r689177 = 1.0;
        double r689178 = x;
        double r689179 = r689177 - r689178;
        double r689180 = 3.0;
        double r689181 = r689180 - r689178;
        double r689182 = r689179 * r689181;
        double r689183 = y;
        double r689184 = r689183 * r689180;
        double r689185 = r689182 / r689184;
        return r689185;
}
↓
double f(double x, double y) {
        double r689186 = 1.0;
        double r689187 = x;
        double r689188 = r689186 - r689187;
        double r689189 = y;
        double r689190 = r689188 / r689189;
        double r689191 = 3.0;
        double r689192 = r689191 - r689187;
        double r689193 = r689192 / r689191;
        double r689194 = r689190 * r689193;
        return r689194;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.8
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.8

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2020020 +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)))