Average Error: 0.0 → 0.0
Time: 28.2s
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 r27375350 = x;
        double r27375351 = y;
        double r27375352 = r27375350 - r27375351;
        double r27375353 = z;
        double r27375354 = r27375353 - r27375351;
        double r27375355 = r27375352 / r27375354;
        return r27375355;
}
↓
double f(double x, double y, double z) {
        double r27375356 = x;
        double r27375357 = z;
        double r27375358 = y;
        double r27375359 = r27375357 - r27375358;
        double r27375360 = r27375356 / r27375359;
        double r27375361 = r27375358 / r27375359;
        double r27375362 = r27375360 - r27375361;
        return r27375362;
}

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 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))