Average Error: 0.0 → 0.0
Time: 5.2s
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 r597535 = x;
        double r597536 = y;
        double r597537 = r597535 - r597536;
        double r597538 = z;
        double r597539 = r597538 - r597536;
        double r597540 = r597537 / r597539;
        return r597540;
}
↓
double f(double x, double y, double z) {
        double r597541 = x;
        double r597542 = y;
        double r597543 = r597541 - r597542;
        double r597544 = z;
        double r597545 = r597544 - r597542;
        double r597546 = r597543 / r597545;
        return r597546;
}

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. Using strategy rm

  5. Applied sub-div0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020081 +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)))