Average Error: 0.0 → 0.0
Time: 9.4s
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 r514124 = x;
        double r514125 = y;
        double r514126 = r514124 - r514125;
        double r514127 = z;
        double r514128 = r514127 - r514125;
        double r514129 = r514126 / r514128;
        return r514129;
}
↓
double f(double x, double y, double z) {
        double r514130 = x;
        double r514131 = z;
        double r514132 = y;
        double r514133 = r514131 - r514132;
        double r514134 = r514130 / r514133;
        double r514135 = r514132 / r514133;
        double r514136 = r514134 - r514135;
        return r514136;
}

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 2019235 
(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)))