Average Error: 0.0 → 0.0
Time: 3.7s
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 r623333 = x;
        double r623334 = y;
        double r623335 = r623333 - r623334;
        double r623336 = z;
        double r623337 = r623336 - r623334;
        double r623338 = r623335 / r623337;
        return r623338;
}
↓
double f(double x, double y, double z) {
        double r623339 = x;
        double r623340 = z;
        double r623341 = y;
        double r623342 = r623340 - r623341;
        double r623343 = r623339 / r623342;
        double r623344 = r623341 / r623342;
        double r623345 = r623343 - r623344;
        return r623345;
}

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 2020036 +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)))