Average Error: 0.1 → 0.1
Time: 11.3s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r217617 = x;
        double r217618 = y;
        double r217619 = z;
        double r217620 = r217618 + r217619;
        double r217621 = r217620 + r217619;
        double r217622 = r217621 + r217618;
        double r217623 = t;
        double r217624 = r217622 + r217623;
        double r217625 = r217617 * r217624;
        double r217626 = 5.0;
        double r217627 = r217618 * r217626;
        double r217628 = r217625 + r217627;
        return r217628;
}
↓
double f(double x, double y, double z, double t) {
        double r217629 = x;
        double r217630 = y;
        double r217631 = z;
        double r217632 = r217631 + r217631;
        double r217633 = r217630 + r217632;
        double r217634 = r217633 + r217630;
        double r217635 = t;
        double r217636 = r217634 + r217635;
        double r217637 = r217629 * r217636;
        double r217638 = 5.0;
        double r217639 = r217630 * r217638;
        double r217640 = r217637 + r217639;
        return r217640;
}

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 associate-+l+0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(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)))