Average Error: 0.0 → 0.0
Time: 2.8s
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 r627185 = x;
        double r627186 = y;
        double r627187 = r627185 - r627186;
        double r627188 = z;
        double r627189 = r627188 - r627186;
        double r627190 = r627187 / r627189;
        return r627190;
}
↓
double f(double x, double y, double z) {
        double r627191 = x;
        double r627192 = z;
        double r627193 = y;
        double r627194 = r627192 - r627193;
        double r627195 = r627191 / r627194;
        double r627196 = r627193 / r627194;
        double r627197 = r627195 - r627196;
        return r627197;
}

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 +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)))