Average Error: 10.3 → 1.2
Time: 40.2s
Precision: 64
\[x + \frac{y \cdot \left(z - t\right)}{z - a}\]
↓
\[x + \frac{y}{\frac{z - a}{z - t}}\]
x + \frac{y \cdot \left(z - t\right)}{z - a}
↓
x + \frac{y}{\frac{z - a}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r30124841 = x;
        double r30124842 = y;
        double r30124843 = z;
        double r30124844 = t;
        double r30124845 = r30124843 - r30124844;
        double r30124846 = r30124842 * r30124845;
        double r30124847 = a;
        double r30124848 = r30124843 - r30124847;
        double r30124849 = r30124846 / r30124848;
        double r30124850 = r30124841 + r30124849;
        return r30124850;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r30124851 = x;
        double r30124852 = y;
        double r30124853 = z;
        double r30124854 = a;
        double r30124855 = r30124853 - r30124854;
        double r30124856 = t;
        double r30124857 = r30124853 - r30124856;
        double r30124858 = r30124855 / r30124857;
        double r30124859 = r30124852 / r30124858;
        double r30124860 = r30124851 + r30124859;
        return r30124860;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original10.3
Target1.2
Herbie1.2
\[x + \frac{y}{\frac{z - a}{z - t}}\]

Derivation

  1. Initial program 10.3

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

  3. Applied associate-/l*1.2

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

  4. Final simplification1.2

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTicks from plot-0.2.3.4, A"

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

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