Average Error: 0.1 → 0.1
Time: 7.9s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + \left(t \cdot x + y \cdot 5\right)\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + \left(t \cdot x + y \cdot 5\right)
double f(double x, double y, double z, double t) {
        double r177782 = x;
        double r177783 = y;
        double r177784 = z;
        double r177785 = r177783 + r177784;
        double r177786 = r177785 + r177784;
        double r177787 = r177786 + r177783;
        double r177788 = t;
        double r177789 = r177787 + r177788;
        double r177790 = r177782 * r177789;
        double r177791 = 5.0;
        double r177792 = r177783 * r177791;
        double r177793 = r177790 + r177792;
        return r177793;
}
↓
double f(double x, double y, double z, double t) {
        double r177794 = x;
        double r177795 = y;
        double r177796 = z;
        double r177797 = r177795 + r177796;
        double r177798 = r177797 + r177796;
        double r177799 = r177798 + r177795;
        double r177800 = r177794 * r177799;
        double r177801 = t;
        double r177802 = r177801 * r177794;
        double r177803 = 5.0;
        double r177804 = r177795 * r177803;
        double r177805 = r177802 + r177804;
        double r177806 = r177800 + r177805;
        return r177806;
}

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

Derivation

  1. Initial program 0.1

    \[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.1

    \[\leadsto \color{blue}{\left(x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + x \cdot t\right)} + y \cdot 5\]

  4. Applied associate-+l+0.1

    \[\leadsto \color{blue}{x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + \left(x \cdot t + y \cdot 5\right)}\]

  5. Simplified0.1

    \[\leadsto x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + \color{blue}{\left(t \cdot x + y \cdot 5\right)}\]

  6. Final simplification0.1

    \[\leadsto x \cdot \left(\left(\left(y + z\right) + z\right) + y\right) + \left(t \cdot x + y \cdot 5\right)\]

Reproduce

herbie shell --seed 2020021 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))