Average Error: 0.1 → 0.1
Time: 13.7s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r201553 = x;
        double r201554 = y;
        double r201555 = z;
        double r201556 = r201554 + r201555;
        double r201557 = r201556 + r201555;
        double r201558 = r201557 + r201554;
        double r201559 = t;
        double r201560 = r201558 + r201559;
        double r201561 = r201553 * r201560;
        double r201562 = 5.0;
        double r201563 = r201554 * r201562;
        double r201564 = r201561 + r201563;
        return r201564;
}
↓
double f(double x, double y, double z, double t) {
        double r201565 = x;
        double r201566 = y;
        double r201567 = z;
        double r201568 = r201566 + r201567;
        double r201569 = r201568 + r201567;
        double r201570 = r201569 + r201566;
        double r201571 = t;
        double r201572 = r201570 + r201571;
        double r201573 = r201565 * r201572;
        double r201574 = 5.0;
        double r201575 = r201566 * r201574;
        double r201576 = r201573 + r201575;
        return r201576;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019350 
(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)))