Average Error: 0.1 → 0.1
Time: 17.7s
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 r3910230 = x;
        double r3910231 = y;
        double r3910232 = r3910230 * r3910231;
        double r3910233 = z;
        double r3910234 = r3910232 + r3910233;
        double r3910235 = r3910234 * r3910231;
        double r3910236 = t;
        double r3910237 = r3910235 + r3910236;
        return r3910237;
}
↓
double f(double x, double y, double z, double t) {
        double r3910238 = y;
        double r3910239 = z;
        double r3910240 = x;
        double r3910241 = r3910240 * r3910238;
        double r3910242 = r3910239 + r3910241;
        double r3910243 = r3910238 * r3910242;
        double r3910244 = t;
        double r3910245 = r3910243 + r3910244;
        return r3910245;
}

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 2019156 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))