Average Error: 0.0 → 0.0
Time: 11.1s
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 r30839764 = x;
        double r30839765 = y;
        double r30839766 = r30839764 - r30839765;
        double r30839767 = z;
        double r30839768 = r30839767 - r30839765;
        double r30839769 = r30839766 / r30839768;
        return r30839769;
}
↓
double f(double x, double y, double z) {
        double r30839770 = x;
        double r30839771 = z;
        double r30839772 = y;
        double r30839773 = r30839771 - r30839772;
        double r30839774 = r30839770 / r30839773;
        double r30839775 = r30839772 / r30839773;
        double r30839776 = r30839774 - r30839775;
        return r30839776;
}

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 2019192 
(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)))