Average Error: 0.1 → 0.1
Time: 1.3m
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 r10989659 = x;
        double r10989660 = y;
        double r10989661 = r10989659 * r10989660;
        double r10989662 = z;
        double r10989663 = r10989661 + r10989662;
        double r10989664 = r10989663 * r10989660;
        double r10989665 = t;
        double r10989666 = r10989664 + r10989665;
        return r10989666;
}
↓
double f(double x, double y, double z, double t) {
        double r10989667 = y;
        double r10989668 = z;
        double r10989669 = x;
        double r10989670 = r10989669 * r10989667;
        double r10989671 = r10989668 + r10989670;
        double r10989672 = r10989667 * r10989671;
        double r10989673 = t;
        double r10989674 = r10989672 + r10989673;
        return r10989674;
}

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))