Average Error: 0.0 → 0.0
Time: 8.8s
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 r762348 = x;
        double r762349 = y;
        double r762350 = r762348 - r762349;
        double r762351 = z;
        double r762352 = r762351 - r762349;
        double r762353 = r762350 / r762352;
        return r762353;
}
↓
double f(double x, double y, double z) {
        double r762354 = x;
        double r762355 = z;
        double r762356 = y;
        double r762357 = r762355 - r762356;
        double r762358 = r762354 / r762357;
        double r762359 = r762356 / r762357;
        double r762360 = r762358 - r762359;
        return r762360;
}

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 2020046 
(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)))