Average Error: 0.0 → 0.0
Time: 6.5s
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 r483378 = x;
        double r483379 = y;
        double r483380 = r483378 - r483379;
        double r483381 = z;
        double r483382 = r483381 - r483379;
        double r483383 = r483380 / r483382;
        return r483383;
}
↓
double f(double x, double y, double z) {
        double r483384 = x;
        double r483385 = z;
        double r483386 = y;
        double r483387 = r483385 - r483386;
        double r483388 = r483384 / r483387;
        double r483389 = r483386 / r483387;
        double r483390 = r483388 - r483389;
        return r483390;
}

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 2019209 
(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)))