Average Error: 0.0 → 0.0
Time: 17.6s
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 r386079 = x;
        double r386080 = y;
        double r386081 = r386079 - r386080;
        double r386082 = z;
        double r386083 = r386082 - r386080;
        double r386084 = r386081 / r386083;
        return r386084;
}
↓
double f(double x, double y, double z) {
        double r386085 = x;
        double r386086 = z;
        double r386087 = y;
        double r386088 = r386086 - r386087;
        double r386089 = r386085 / r386088;
        double r386090 = r386087 / r386088;
        double r386091 = r386089 - r386090;
        return r386091;
}

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 2019325 +o rules:numerics
(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)))