Average Error: 0.0 → 0.0
Time: 16.5s
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 r490126 = x;
        double r490127 = y;
        double r490128 = r490126 - r490127;
        double r490129 = z;
        double r490130 = r490129 - r490127;
        double r490131 = r490128 / r490130;
        return r490131;
}
↓
double f(double x, double y, double z) {
        double r490132 = x;
        double r490133 = z;
        double r490134 = y;
        double r490135 = r490133 - r490134;
        double r490136 = r490132 / r490135;
        double r490137 = r490134 / r490135;
        double r490138 = r490136 - r490137;
        return r490138;
}

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 2019325 +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)))