Average Error: 0.1 → 0.1
Time: 37.5s
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 r10405181 = x;
        double r10405182 = y;
        double r10405183 = r10405181 * r10405182;
        double r10405184 = z;
        double r10405185 = r10405183 + r10405184;
        double r10405186 = r10405185 * r10405182;
        double r10405187 = t;
        double r10405188 = r10405186 + r10405187;
        return r10405188;
}
↓
double f(double x, double y, double z, double t) {
        double r10405189 = y;
        double r10405190 = z;
        double r10405191 = x;
        double r10405192 = r10405191 * r10405189;
        double r10405193 = r10405190 + r10405192;
        double r10405194 = r10405189 * r10405193;
        double r10405195 = t;
        double r10405196 = r10405194 + r10405195;
        return r10405196;
}

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 2019164 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))