Average Error: 0.0 → 0.0
Time: 12.0s
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 r30580073 = x;
        double r30580074 = y;
        double r30580075 = r30580073 - r30580074;
        double r30580076 = z;
        double r30580077 = r30580076 - r30580074;
        double r30580078 = r30580075 / r30580077;
        return r30580078;
}
↓
double f(double x, double y, double z) {
        double r30580079 = x;
        double r30580080 = z;
        double r30580081 = y;
        double r30580082 = r30580080 - r30580081;
        double r30580083 = r30580079 / r30580082;
        double r30580084 = r30580081 / r30580082;
        double r30580085 = r30580083 - r30580084;
        return r30580085;
}

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 2019163 +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)))