Average Error: 1.5 → 1.5
Time: 4.4s
Precision: 64
\[x + y \cdot \frac{z - t}{a - t}\]
↓
\[x + y \cdot \frac{z - t}{a - t}\]
x + y \cdot \frac{z - t}{a - t}
↓
x + y \cdot \frac{z - t}{a - t}
double f(double x, double y, double z, double t, double a) {
        double r602740 = x;
        double r602741 = y;
        double r602742 = z;
        double r602743 = t;
        double r602744 = r602742 - r602743;
        double r602745 = a;
        double r602746 = r602745 - r602743;
        double r602747 = r602744 / r602746;
        double r602748 = r602741 * r602747;
        double r602749 = r602740 + r602748;
        return r602749;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r602750 = x;
        double r602751 = y;
        double r602752 = z;
        double r602753 = t;
        double r602754 = r602752 - r602753;
        double r602755 = a;
        double r602756 = r602755 - r602753;
        double r602757 = r602754 / r602756;
        double r602758 = r602751 * r602757;
        double r602759 = r602750 + r602758;
        return r602759;
}

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

Original1.5
Target0.5
Herbie1.5
\[\begin{array}{l} \mathbf{if}\;y \lt -8.50808486055124107 \cdot 10^{-17}:\\ \;\;\;\;x + y \cdot \frac{z - t}{a - t}\\ \mathbf{elif}\;y \lt 2.8944268627920891 \cdot 10^{-49}:\\ \;\;\;\;x + \left(y \cdot \left(z - t\right)\right) \cdot \frac{1}{a - t}\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot \frac{z - t}{a - t}\\ \end{array}\]

Derivation

  1. Initial program 1.5

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

  2. Final simplification1.5

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

Reproduce

herbie shell --seed 2020003 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisLine from plot-0.2.3.4, B"
  :precision binary64

  :herbie-target
  (if (< y -8.508084860551241e-17) (+ x (* y (/ (- z t) (- a t)))) (if (< y 2.894426862792089e-49) (+ x (* (* y (- z t)) (/ 1 (- a t)))) (+ x (* y (/ (- z t) (- a t))))))

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