Average Error: 0.0 → 0.0
Time: 3.0s
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 r637327 = x;
        double r637328 = y;
        double r637329 = r637327 - r637328;
        double r637330 = z;
        double r637331 = r637330 - r637328;
        double r637332 = r637329 / r637331;
        return r637332;
}
↓
double f(double x, double y, double z) {
        double r637333 = x;
        double r637334 = z;
        double r637335 = y;
        double r637336 = r637334 - r637335;
        double r637337 = r637333 / r637336;
        double r637338 = r637335 / r637336;
        double r637339 = r637337 - r637338;
        return r637339;
}

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 2020056 +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)))