Average Error: 10.3 → 1.2
Time: 18.2s
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 r28657401 = x;
        double r28657402 = y;
        double r28657403 = z;
        double r28657404 = t;
        double r28657405 = r28657403 - r28657404;
        double r28657406 = r28657402 * r28657405;
        double r28657407 = a;
        double r28657408 = r28657403 - r28657407;
        double r28657409 = r28657406 / r28657408;
        double r28657410 = r28657401 + r28657409;
        return r28657410;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r28657411 = x;
        double r28657412 = y;
        double r28657413 = z;
        double r28657414 = a;
        double r28657415 = r28657413 - r28657414;
        double r28657416 = t;
        double r28657417 = r28657413 - r28657416;
        double r28657418 = r28657415 / r28657417;
        double r28657419 = r28657412 / r28657418;
        double r28657420 = r28657411 + r28657419;
        return r28657420;
}

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))))