Average Error: 0.1 → 0.1
Time: 11.3s
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 r6552170 = x;
        double r6552171 = y;
        double r6552172 = r6552170 * r6552171;
        double r6552173 = z;
        double r6552174 = r6552172 + r6552173;
        double r6552175 = r6552174 * r6552171;
        double r6552176 = t;
        double r6552177 = r6552175 + r6552176;
        return r6552177;
}
↓
double f(double x, double y, double z, double t) {
        double r6552178 = y;
        double r6552179 = z;
        double r6552180 = x;
        double r6552181 = r6552180 * r6552178;
        double r6552182 = r6552179 + r6552181;
        double r6552183 = r6552178 * r6552182;
        double r6552184 = t;
        double r6552185 = r6552183 + r6552184;
        return r6552185;
}

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 2019192 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))