Average Error: 0.0 → 0.0
Time: 4.3s
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 r27033075 = x;
        double r27033076 = y;
        double r27033077 = r27033075 - r27033076;
        double r27033078 = z;
        double r27033079 = r27033078 - r27033076;
        double r27033080 = r27033077 / r27033079;
        return r27033080;
}
↓
double f(double x, double y, double z) {
        double r27033081 = x;
        double r27033082 = z;
        double r27033083 = y;
        double r27033084 = r27033082 - r27033083;
        double r27033085 = r27033081 / r27033084;
        double r27033086 = r27033083 / r27033084;
        double r27033087 = r27033085 - r27033086;
        return r27033087;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

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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 2019165 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

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

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