Average Error: 11.5 → 2.1
Time: 12.6s
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 r412237 = x;
        double r412238 = y;
        double r412239 = z;
        double r412240 = r412238 - r412239;
        double r412241 = r412237 * r412240;
        double r412242 = t;
        double r412243 = r412242 - r412239;
        double r412244 = r412241 / r412243;
        return r412244;
}
↓
double f(double x, double y, double z, double t) {
        double r412245 = x;
        double r412246 = t;
        double r412247 = y;
        double r412248 = z;
        double r412249 = r412247 - r412248;
        double r412250 = r412246 / r412249;
        double r412251 = r412248 / r412249;
        double r412252 = r412250 - r412251;
        double r412253 = r412245 / r412252;
        return r412253;
}

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

Original11.5
Target2.1
Herbie2.1
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.5

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

  3. Applied associate-/l*2.1

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

  5. Applied div-sub2.1

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

  6. Final simplification2.1

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

Reproduce

herbie shell --seed 2019326 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"
  :precision binary64

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

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