Average Error: 12.0 → 2.2
Time: 12.5s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\frac{x}{\frac{t - z}{y - z}}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\frac{x}{\frac{t - z}{y - z}}
double f(double x, double y, double z, double t) {
        double r532642 = x;
        double r532643 = y;
        double r532644 = z;
        double r532645 = r532643 - r532644;
        double r532646 = r532642 * r532645;
        double r532647 = t;
        double r532648 = r532647 - r532644;
        double r532649 = r532646 / r532648;
        return r532649;
}
↓
double f(double x, double y, double z, double t) {
        double r532650 = x;
        double r532651 = t;
        double r532652 = z;
        double r532653 = r532651 - r532652;
        double r532654 = y;
        double r532655 = r532654 - r532652;
        double r532656 = r532653 / r532655;
        double r532657 = r532650 / r532656;
        return r532657;
}

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

Original12.0
Target2.2
Herbie2.2
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 12.0

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

  3. Applied associate-/l*2.2

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

  4. Final simplification2.2

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

Reproduce

herbie shell --seed 2019303 
(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)))