Average Error: 0.3 → 0.3
Time: 3.9s
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 r803665 = x;
        double r803666 = y;
        double r803667 = r803666 - r803665;
        double r803668 = 6.0;
        double r803669 = r803667 * r803668;
        double r803670 = z;
        double r803671 = r803669 * r803670;
        double r803672 = r803665 + r803671;
        return r803672;
}
↓
double f(double x, double y, double z) {
        double r803673 = x;
        double r803674 = y;
        double r803675 = r803674 - r803673;
        double r803676 = 6.0;
        double r803677 = r803675 * r803676;
        double r803678 = z;
        double r803679 = r803677 * r803678;
        double r803680 = r803673 + r803679;
        return r803680;
}

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

Original0.3
Target0.2
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020020 
(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)))