Average Error: 0.1 → 0.1
Time: 39.4s
Precision: 64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[y \cdot \left(z + x \cdot y\right) + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
y \cdot \left(z + x \cdot y\right) + t
double f(double x, double y, double z, double t) {
        double r9957618 = x;
        double r9957619 = y;
        double r9957620 = r9957618 * r9957619;
        double r9957621 = z;
        double r9957622 = r9957620 + r9957621;
        double r9957623 = r9957622 * r9957619;
        double r9957624 = t;
        double r9957625 = r9957623 + r9957624;
        return r9957625;
}
↓
double f(double x, double y, double z, double t) {
        double r9957626 = y;
        double r9957627 = z;
        double r9957628 = x;
        double r9957629 = r9957628 * r9957626;
        double r9957630 = r9957627 + r9957629;
        double r9957631 = r9957626 * r9957630;
        double r9957632 = t;
        double r9957633 = r9957631 + r9957632;
        return r9957633;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))