Average Error: 0.1 → 0.1
Time: 40.2s
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 r6684881 = x;
        double r6684882 = y;
        double r6684883 = r6684881 * r6684882;
        double r6684884 = z;
        double r6684885 = r6684883 + r6684884;
        double r6684886 = r6684885 * r6684882;
        double r6684887 = t;
        double r6684888 = r6684886 + r6684887;
        return r6684888;
}
↓
double f(double x, double y, double z, double t) {
        double r6684889 = y;
        double r6684890 = z;
        double r6684891 = x;
        double r6684892 = r6684891 * r6684889;
        double r6684893 = r6684890 + r6684892;
        double r6684894 = r6684889 * r6684893;
        double r6684895 = t;
        double r6684896 = r6684894 + r6684895;
        return r6684896;
}

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))