Average Error: 0.4 → 0.4
Time: 4.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r794744 = x;
        double r794745 = y;
        double r794746 = r794745 - r794744;
        double r794747 = 6.0;
        double r794748 = r794746 * r794747;
        double r794749 = z;
        double r794750 = r794748 * r794749;
        double r794751 = r794744 + r794750;
        return r794751;
}
↓
double f(double x, double y, double z) {
        double r794752 = x;
        double r794753 = y;
        double r794754 = r794753 - r794752;
        double r794755 = 6.0;
        double r794756 = r794754 * r794755;
        double r794757 = z;
        double r794758 = r794756 * r794757;
        double r794759 = r794752 + r794758;
        return r794759;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.2
Herbie0.4
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.4

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

  2. Final simplification0.4

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

Reproduce

herbie shell --seed 2020081 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"
  :precision binary64

  :herbie-target
  (- x (* (* 6 z) (- x y)))

  (+ x (* (* (- y x) 6) z)))