Average Error: 0.1 → 0.1
Time: 8.8s
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 r181412 = x;
        double r181413 = y;
        double r181414 = z;
        double r181415 = r181413 + r181414;
        double r181416 = r181415 + r181414;
        double r181417 = r181416 + r181413;
        double r181418 = t;
        double r181419 = r181417 + r181418;
        double r181420 = r181412 * r181419;
        double r181421 = 5.0;
        double r181422 = r181413 * r181421;
        double r181423 = r181420 + r181422;
        return r181423;
}
↓
double f(double x, double y, double z, double t) {
        double r181424 = x;
        double r181425 = y;
        double r181426 = z;
        double r181427 = r181426 + r181426;
        double r181428 = r181425 + r181427;
        double r181429 = r181428 + r181425;
        double r181430 = t;
        double r181431 = r181429 + r181430;
        double r181432 = r181424 * r181431;
        double r181433 = 5.0;
        double r181434 = r181425 * r181433;
        double r181435 = r181432 + r181434;
        return r181435;
}

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 2020046 
(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)))