Average Error: 0.0 → 0.0
Time: 3.9s
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 r646999 = x;
        double r647000 = y;
        double r647001 = r646999 - r647000;
        double r647002 = z;
        double r647003 = r647002 - r647000;
        double r647004 = r647001 / r647003;
        return r647004;
}
↓
double f(double x, double y, double z) {
        double r647005 = x;
        double r647006 = z;
        double r647007 = y;
        double r647008 = r647006 - r647007;
        double r647009 = r647005 / r647008;
        double r647010 = r647007 / r647008;
        double r647011 = r647009 - r647010;
        return r647011;
}

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 2020045 +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)))