Average Error: 0.0 → 0.0
Time: 11.4s
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 r25313953 = x;
        double r25313954 = y;
        double r25313955 = r25313953 - r25313954;
        double r25313956 = z;
        double r25313957 = r25313956 - r25313954;
        double r25313958 = r25313955 / r25313957;
        return r25313958;
}
↓
double f(double x, double y, double z) {
        double r25313959 = x;
        double r25313960 = z;
        double r25313961 = y;
        double r25313962 = r25313960 - r25313961;
        double r25313963 = r25313959 / r25313962;
        double r25313964 = r25313961 / r25313962;
        double r25313965 = r25313963 - r25313964;
        return r25313965;
}

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 2019164 +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)))