Average Error: 0.0 → 0.0
Time: 8.5s
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 r24097650 = x;
        double r24097651 = y;
        double r24097652 = r24097650 - r24097651;
        double r24097653 = z;
        double r24097654 = r24097653 - r24097651;
        double r24097655 = r24097652 / r24097654;
        return r24097655;
}
↓
double f(double x, double y, double z) {
        double r24097656 = x;
        double r24097657 = z;
        double r24097658 = y;
        double r24097659 = r24097657 - r24097658;
        double r24097660 = r24097656 / r24097659;
        double r24097661 = r24097658 / r24097659;
        double r24097662 = r24097660 - r24097661;
        return r24097662;
}

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 +o rules:numerics
(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)))