Average Error: 0.0 → 0.0
Time: 2.5s
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 r573215 = x;
        double r573216 = y;
        double r573217 = r573215 - r573216;
        double r573218 = z;
        double r573219 = r573218 - r573216;
        double r573220 = r573217 / r573219;
        return r573220;
}
↓
double f(double x, double y, double z) {
        double r573221 = x;
        double r573222 = y;
        double r573223 = r573221 - r573222;
        double r573224 = z;
        double r573225 = r573224 - r573222;
        double r573226 = r573223 / r573225;
        return r573226;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 +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)))