Average Error: 12.0 → 2.3
Time: 10.4s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\frac{y - z}{t - z} \cdot x\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\frac{y - z}{t - z} \cdot x
double f(double x, double y, double z, double t) {
        double r496328 = x;
        double r496329 = y;
        double r496330 = z;
        double r496331 = r496329 - r496330;
        double r496332 = r496328 * r496331;
        double r496333 = t;
        double r496334 = r496333 - r496330;
        double r496335 = r496332 / r496334;
        return r496335;
}
↓
double f(double x, double y, double z, double t) {
        double r496336 = y;
        double r496337 = z;
        double r496338 = r496336 - r496337;
        double r496339 = t;
        double r496340 = r496339 - r496337;
        double r496341 = r496338 / r496340;
        double r496342 = x;
        double r496343 = r496341 * r496342;
        return r496343;
}

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
Herbie2.3
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 12.0

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

  2. Simplified11.4

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

  4. Applied associate-/r/2.3

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

  5. Final simplification2.3

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

Reproduce

herbie shell --seed 2019196 
(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)))