Average Error: 5.7 → 0.1
Time: 2.8s
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 r654088 = 1.0;
        double r654089 = x;
        double r654090 = r654088 - r654089;
        double r654091 = 3.0;
        double r654092 = r654091 - r654089;
        double r654093 = r654090 * r654092;
        double r654094 = y;
        double r654095 = r654094 * r654091;
        double r654096 = r654093 / r654095;
        return r654096;
}
↓
double f(double x, double y) {
        double r654097 = 1.0;
        double r654098 = x;
        double r654099 = r654097 - r654098;
        double r654100 = y;
        double r654101 = r654099 / r654100;
        double r654102 = 3.0;
        double r654103 = r654102 - r654098;
        double r654104 = r654103 / r654102;
        double r654105 = r654101 * r654104;
        return r654105;
}

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 
(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)))