Average Error: 0.1 → 0.1
Time: 39.3s
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 r7762950 = x;
        double r7762951 = y;
        double r7762952 = r7762950 * r7762951;
        double r7762953 = z;
        double r7762954 = r7762952 + r7762953;
        double r7762955 = r7762954 * r7762951;
        double r7762956 = t;
        double r7762957 = r7762955 + r7762956;
        return r7762957;
}
↓
double f(double x, double y, double z, double t) {
        double r7762958 = y;
        double r7762959 = z;
        double r7762960 = x;
        double r7762961 = r7762960 * r7762958;
        double r7762962 = r7762959 + r7762961;
        double r7762963 = r7762958 * r7762962;
        double r7762964 = t;
        double r7762965 = r7762963 + r7762964;
        return r7762965;
}

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 2019169 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))