Average Error: 0.0 → 0.0
Time: 11.3s
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 r403009 = x;
        double r403010 = y;
        double r403011 = r403009 - r403010;
        double r403012 = z;
        double r403013 = r403012 - r403010;
        double r403014 = r403011 / r403013;
        return r403014;
}
↓
double f(double x, double y, double z) {
        double r403015 = x;
        double r403016 = z;
        double r403017 = y;
        double r403018 = r403016 - r403017;
        double r403019 = r403015 / r403018;
        double r403020 = r403017 / r403018;
        double r403021 = r403019 - r403020;
        return r403021;
}

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 2020043 +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)))