Average Error: 0.0 → 0.0
Time: 2.3s
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 r595231 = x;
        double r595232 = y;
        double r595233 = r595231 - r595232;
        double r595234 = z;
        double r595235 = r595234 - r595232;
        double r595236 = r595233 / r595235;
        return r595236;
}
↓
double f(double x, double y, double z) {
        double r595237 = x;
        double r595238 = z;
        double r595239 = y;
        double r595240 = r595238 - r595239;
        double r595241 = r595237 / r595240;
        double r595242 = r595239 / r595240;
        double r595243 = r595241 - r595242;
        return r595243;
}

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 2020039 
(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)))