Average Error: 0.0 → 0.0
Time: 3.3s
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 r655394 = x;
        double r655395 = y;
        double r655396 = r655394 - r655395;
        double r655397 = z;
        double r655398 = r655397 - r655395;
        double r655399 = r655396 / r655398;
        return r655399;
}
↓
double f(double x, double y, double z) {
        double r655400 = x;
        double r655401 = z;
        double r655402 = y;
        double r655403 = r655401 - r655402;
        double r655404 = r655400 / r655403;
        double r655405 = r655402 / r655403;
        double r655406 = r655404 - r655405;
        return r655406;
}

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 2020035 +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)))