Average Error: 0.1 → 0.1
Time: 8.4s
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 r183670 = x;
        double r183671 = y;
        double r183672 = r183670 * r183671;
        double r183673 = z;
        double r183674 = r183672 + r183673;
        double r183675 = r183674 * r183671;
        double r183676 = t;
        double r183677 = r183675 + r183676;
        return r183677;
}
↓
double f(double x, double y, double z, double t) {
        double r183678 = x;
        double r183679 = y;
        double r183680 = r183678 * r183679;
        double r183681 = z;
        double r183682 = r183680 + r183681;
        double r183683 = r183682 * r183679;
        double r183684 = t;
        double r183685 = r183683 + r183684;
        return r183685;
}

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 2020047 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  :precision binary64
  (+ (* (+ (* x y) z) y) t))