Average Error: 9.9 → 1.2
Time: 10.1s
Precision: 64
\[x + \frac{y \cdot \left(z - t\right)}{a - t}\]
↓
\[x + \frac{y}{\frac{a - t}{z - t}}\]
x + \frac{y \cdot \left(z - t\right)}{a - t}
↓
x + \frac{y}{\frac{a - t}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r10044473 = x;
        double r10044474 = y;
        double r10044475 = z;
        double r10044476 = t;
        double r10044477 = r10044475 - r10044476;
        double r10044478 = r10044474 * r10044477;
        double r10044479 = a;
        double r10044480 = r10044479 - r10044476;
        double r10044481 = r10044478 / r10044480;
        double r10044482 = r10044473 + r10044481;
        return r10044482;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r10044483 = x;
        double r10044484 = y;
        double r10044485 = a;
        double r10044486 = t;
        double r10044487 = r10044485 - r10044486;
        double r10044488 = z;
        double r10044489 = r10044488 - r10044486;
        double r10044490 = r10044487 / r10044489;
        double r10044491 = r10044484 / r10044490;
        double r10044492 = r10044483 + r10044491;
        return r10044492;
}

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

Original9.9
Target1.2
Herbie1.2
\[x + \frac{y}{\frac{a - t}{z - t}}\]

Derivation

  1. Initial program 9.9

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

  3. Applied associate-/l*1.2

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

  4. Final simplification1.2

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

Reproduce

herbie shell --seed 2019156 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTicks from plot-0.2.3.4, B"

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

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