Average Error: 0.0 → 0.0
Time: 2.2s
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 r595162 = x;
        double r595163 = y;
        double r595164 = r595162 - r595163;
        double r595165 = z;
        double r595166 = r595165 - r595163;
        double r595167 = r595164 / r595166;
        return r595167;
}
↓
double f(double x, double y, double z) {
        double r595168 = x;
        double r595169 = z;
        double r595170 = y;
        double r595171 = r595169 - r595170;
        double r595172 = r595168 / r595171;
        double r595173 = r595170 / r595171;
        double r595174 = r595172 - r595173;
        return r595174;
}

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 2020020 +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)))