Average Error: 0.0 → 0.0
Time: 8.4s
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 r27929010 = x;
        double r27929011 = y;
        double r27929012 = r27929010 - r27929011;
        double r27929013 = z;
        double r27929014 = r27929013 - r27929011;
        double r27929015 = r27929012 / r27929014;
        return r27929015;
}
↓
double f(double x, double y, double z) {
        double r27929016 = x;
        double r27929017 = z;
        double r27929018 = y;
        double r27929019 = r27929017 - r27929018;
        double r27929020 = r27929016 / r27929019;
        double r27929021 = r27929018 / r27929019;
        double r27929022 = r27929020 - r27929021;
        return r27929022;
}

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 2019172 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))