Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[\frac{x - y}{z - y}\]
↓
\[\frac{x - y}{z - y}\]
\frac{x - y}{z - y}
↓
\frac{x - y}{z - y}
double f(double x, double y, double z) {
        double r743673 = x;
        double r743674 = y;
        double r743675 = r743673 - r743674;
        double r743676 = z;
        double r743677 = r743676 - r743674;
        double r743678 = r743675 / r743677;
        return r743678;
}
↓
double f(double x, double y, double z) {
        double r743679 = x;
        double r743680 = y;
        double r743681 = r743679 - r743680;
        double r743682 = z;
        double r743683 = r743682 - r743680;
        double r743684 = r743681 / r743683;
        return r743684;
}

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. Final simplification0.0

    \[\leadsto \frac{x - y}{z - y}\]

Reproduce

herbie shell --seed 2020047 +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)))