Average Error: 11.7 → 2.2
Time: 3.0s
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 r615614 = x;
        double r615615 = y;
        double r615616 = z;
        double r615617 = r615615 - r615616;
        double r615618 = r615614 * r615617;
        double r615619 = t;
        double r615620 = r615619 - r615616;
        double r615621 = r615618 / r615620;
        return r615621;
}
↓
double f(double x, double y, double z, double t) {
        double r615622 = x;
        double r615623 = t;
        double r615624 = y;
        double r615625 = z;
        double r615626 = r615624 - r615625;
        double r615627 = r615623 / r615626;
        double r615628 = r615625 / r615626;
        double r615629 = r615627 - r615628;
        double r615630 = r615622 / r615629;
        return r615630;
}

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

Original11.7
Target2.2
Herbie2.2
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.7

    \[\frac{x \cdot \left(y - z\right)}{t - z}\]
  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 2020039 
(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)))