Average Error: 0.0 → 0.0
Time: 14.0s
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 r477480 = x;
        double r477481 = y;
        double r477482 = r477480 - r477481;
        double r477483 = z;
        double r477484 = r477483 - r477481;
        double r477485 = r477482 / r477484;
        return r477485;
}
↓
double f(double x, double y, double z) {
        double r477486 = x;
        double r477487 = z;
        double r477488 = y;
        double r477489 = r477487 - r477488;
        double r477490 = r477486 / r477489;
        double r477491 = r477488 / r477489;
        double r477492 = r477490 - r477491;
        return r477492;
}

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 2019235 +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)))