Average Error: 0.0 → 0.0
Time: 2.4s
Precision: 64
\[\frac{x - y}{z - y}\]
↓
\[\frac{x}{z - y} - \frac{y}{z - y}\]
\frac{x - y}{z - y}
↓
\frac{x}{z - y} - \frac{y}{z - y}
double f(double x, double y, double z) {
        double r679084 = x;
        double r679085 = y;
        double r679086 = r679084 - r679085;
        double r679087 = z;
        double r679088 = r679087 - r679085;
        double r679089 = r679086 / r679088;
        return r679089;
}
↓
double f(double x, double y, double z) {
        double r679090 = x;
        double r679091 = z;
        double r679092 = y;
        double r679093 = r679091 - r679092;
        double r679094 = r679090 / r679093;
        double r679095 = r679092 / r679093;
        double r679096 = r679094 - r679095;
        return r679096;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{x}{z - y} - \frac{y}{z - y}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{z - y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{z - y} - \frac{y}{z - y}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{z - y} - \frac{y}{z - y}\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"
  :precision binary64

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

  (/ (- x y) (- z y)))