Average Error: 0.1 → 0.1
Time: 41.0s
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 r7438948 = x;
        double r7438949 = y;
        double r7438950 = r7438948 * r7438949;
        double r7438951 = z;
        double r7438952 = r7438950 + r7438951;
        double r7438953 = r7438952 * r7438949;
        double r7438954 = t;
        double r7438955 = r7438953 + r7438954;
        return r7438955;
}
↓
double f(double x, double y, double z, double t) {
        double r7438956 = y;
        double r7438957 = z;
        double r7438958 = x;
        double r7438959 = r7438958 * r7438956;
        double r7438960 = r7438957 + r7438959;
        double r7438961 = r7438956 * r7438960;
        double r7438962 = t;
        double r7438963 = r7438961 + r7438962;
        return r7438963;
}

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 2019171 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))