Average Error: 0.1 → 0.1
Time: 35.8s
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 r10062018 = x;
        double r10062019 = y;
        double r10062020 = r10062018 * r10062019;
        double r10062021 = z;
        double r10062022 = r10062020 + r10062021;
        double r10062023 = r10062022 * r10062019;
        double r10062024 = t;
        double r10062025 = r10062023 + r10062024;
        return r10062025;
}
↓
double f(double x, double y, double z, double t) {
        double r10062026 = y;
        double r10062027 = z;
        double r10062028 = x;
        double r10062029 = r10062028 * r10062026;
        double r10062030 = r10062027 + r10062029;
        double r10062031 = r10062026 * r10062030;
        double r10062032 = t;
        double r10062033 = r10062031 + r10062032;
        return r10062033;
}

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 2019158 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))