Average Error: 0.1 → 0.1
Time: 17.9s
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 r7863618 = x;
        double r7863619 = y;
        double r7863620 = r7863618 * r7863619;
        double r7863621 = z;
        double r7863622 = r7863620 + r7863621;
        double r7863623 = r7863622 * r7863619;
        double r7863624 = t;
        double r7863625 = r7863623 + r7863624;
        return r7863625;
}
↓
double f(double x, double y, double z, double t) {
        double r7863626 = y;
        double r7863627 = z;
        double r7863628 = x;
        double r7863629 = r7863628 * r7863626;
        double r7863630 = r7863627 + r7863629;
        double r7863631 = r7863626 * r7863630;
        double r7863632 = t;
        double r7863633 = r7863631 + r7863632;
        return r7863633;
}

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))