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 r219235 = x;
        double r219236 = y;
        double r219237 = r219235 * r219236;
        double r219238 = z;
        double r219239 = r219237 + r219238;
        double r219240 = r219239 * r219236;
        double r219241 = t;
        double r219242 = r219240 + r219241;
        return r219242;
}

double f(double x, double y, double z, double t) {
        double r219243 = x;
        double r219244 = y;
        double r219245 = r219243 * r219244;
        double r219246 = z;
        double r219247 = r219245 + r219246;
        double r219248 = r219247 * r219244;
        double r219249 = t;
        double r219250 = r219248 + r219249;
        return r219250;
}

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 2020062 +o rules:numerics
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  :precision binary64
  (+ (* (+ (* x y) z) y) t))