Average Error: 0.1 → 0.1
Time: 4.7s
Precision: 64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[\left(x \cdot y + z\right) \cdot y + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
\left(x \cdot y + z\right) \cdot y + t
double f(double x, double y, double z, double t) {
        double r181169 = x;
        double r181170 = y;
        double r181171 = r181169 * r181170;
        double r181172 = z;
        double r181173 = r181171 + r181172;
        double r181174 = r181173 * r181170;
        double r181175 = t;
        double r181176 = r181174 + r181175;
        return r181176;
}
↓
double f(double x, double y, double z, double t) {
        double r181177 = x;
        double r181178 = y;
        double r181179 = r181177 * r181178;
        double r181180 = z;
        double r181181 = r181179 + r181180;
        double r181182 = r181181 * r181178;
        double r181183 = t;
        double r181184 = r181182 + r181183;
        return r181184;
}

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

    \[\leadsto \left(x \cdot y + z\right) \cdot y + t\]

Reproduce

herbie shell --seed 2020057 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  :precision binary64
  (+ (* (+ (* x y) z) y) t))