Average Error: 0.0 → 0.0
Time: 12.4s
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 r27213283 = x;
        double r27213284 = y;
        double r27213285 = r27213283 - r27213284;
        double r27213286 = z;
        double r27213287 = r27213286 - r27213284;
        double r27213288 = r27213285 / r27213287;
        return r27213288;
}

double f(double x, double y, double z) {
        double r27213289 = x;
        double r27213290 = y;
        double r27213291 = r27213289 - r27213290;
        double r27213292 = z;
        double r27213293 = r27213292 - r27213290;
        double r27213294 = r27213291 / r27213293;
        return r27213294;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

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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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(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)))