Average Error: 0.1 → 0.1
Time: 35.0s
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 r8213928 = x;
        double r8213929 = y;
        double r8213930 = r8213928 * r8213929;
        double r8213931 = z;
        double r8213932 = r8213930 + r8213931;
        double r8213933 = r8213932 * r8213929;
        double r8213934 = t;
        double r8213935 = r8213933 + r8213934;
        return r8213935;
}
↓
double f(double x, double y, double z, double t) {
        double r8213936 = y;
        double r8213937 = z;
        double r8213938 = x;
        double r8213939 = r8213938 * r8213936;
        double r8213940 = r8213937 + r8213939;
        double r8213941 = r8213936 * r8213940;
        double r8213942 = t;
        double r8213943 = r8213941 + r8213942;
        return r8213943;
}

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 2019162 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))