Average Error: 10.5 → 2.2
Time: 11.3s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\frac{x}{\frac{t}{y - z} - \frac{z}{y - z}}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\frac{x}{\frac{t}{y - z} - \frac{z}{y - z}}
double f(double x, double y, double z, double t) {
        double r31259278 = x;
        double r31259279 = y;
        double r31259280 = z;
        double r31259281 = r31259279 - r31259280;
        double r31259282 = r31259278 * r31259281;
        double r31259283 = t;
        double r31259284 = r31259283 - r31259280;
        double r31259285 = r31259282 / r31259284;
        return r31259285;
}
↓
double f(double x, double y, double z, double t) {
        double r31259286 = x;
        double r31259287 = t;
        double r31259288 = y;
        double r31259289 = z;
        double r31259290 = r31259288 - r31259289;
        double r31259291 = r31259287 / r31259290;
        double r31259292 = r31259289 / r31259290;
        double r31259293 = r31259291 - r31259292;
        double r31259294 = r31259286 / r31259293;
        return r31259294;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original10.5
Target2.2
Herbie2.2
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 10.5

    \[\frac{x \cdot \left(y - z\right)}{t - z}\]
  2. Using strategy rm

  3. Applied associate-/l*2.2

    \[\leadsto \color{blue}{\frac{x}{\frac{t - z}{y - z}}}\]
  4. Using strategy rm

  5. Applied div-sub2.2

    \[\leadsto \frac{x}{\color{blue}{\frac{t}{y - z} - \frac{z}{y - z}}}\]

  6. Final simplification2.2

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

Reproduce

herbie shell --seed 2019158 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"

  :herbie-target
  (/ x (/ (- t z) (- y z)))

  (/ (* x (- y z)) (- t z)))