Average Error: 11.9 → 2.1
Time: 12.1s
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 r28039952 = x;
        double r28039953 = y;
        double r28039954 = z;
        double r28039955 = r28039953 - r28039954;
        double r28039956 = r28039952 * r28039955;
        double r28039957 = t;
        double r28039958 = r28039957 - r28039954;
        double r28039959 = r28039956 / r28039958;
        return r28039959;
}
↓
double f(double x, double y, double z, double t) {
        double r28039960 = x;
        double r28039961 = t;
        double r28039962 = y;
        double r28039963 = z;
        double r28039964 = r28039962 - r28039963;
        double r28039965 = r28039961 / r28039964;
        double r28039966 = r28039963 / r28039964;
        double r28039967 = r28039965 - r28039966;
        double r28039968 = r28039960 / r28039967;
        return r28039968;
}

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

Original11.9
Target2.1
Herbie2.1
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.9

    \[\frac{x \cdot \left(y - z\right)}{t - z}\]
  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 2019174 
(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)))