Average Error: 0.1 → 0.1
Time: 34.3s
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 r6296194 = x;
        double r6296195 = y;
        double r6296196 = r6296194 * r6296195;
        double r6296197 = z;
        double r6296198 = r6296196 + r6296197;
        double r6296199 = r6296198 * r6296195;
        double r6296200 = t;
        double r6296201 = r6296199 + r6296200;
        return r6296201;
}
↓
double f(double x, double y, double z, double t) {
        double r6296202 = y;
        double r6296203 = z;
        double r6296204 = x;
        double r6296205 = r6296204 * r6296202;
        double r6296206 = r6296203 + r6296205;
        double r6296207 = r6296202 * r6296206;
        double r6296208 = t;
        double r6296209 = r6296207 + r6296208;
        return r6296209;
}

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 2019172 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))