Average Error: 0.0 → 0.0
Time: 12.6s
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 r426477 = x;
        double r426478 = y;
        double r426479 = r426477 - r426478;
        double r426480 = z;
        double r426481 = r426480 - r426478;
        double r426482 = r426479 / r426481;
        return r426482;
}
↓
double f(double x, double y, double z) {
        double r426483 = x;
        double r426484 = z;
        double r426485 = y;
        double r426486 = r426484 - r426485;
        double r426487 = r426483 / r426486;
        double r426488 = r426485 / r426486;
        double r426489 = r426487 - r426488;
        return r426489;
}

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 2019198 +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)))