Average Error: 0.3 → 0.3
Time: 15.2s
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 r581656 = x;
        double r581657 = y;
        double r581658 = r581657 - r581656;
        double r581659 = 6.0;
        double r581660 = r581658 * r581659;
        double r581661 = z;
        double r581662 = r581660 * r581661;
        double r581663 = r581656 + r581662;
        return r581663;
}
↓
double f(double x, double y, double z) {
        double r581664 = x;
        double r581665 = y;
        double r581666 = r581665 - r581664;
        double r581667 = 6.0;
        double r581668 = r581666 * r581667;
        double r581669 = z;
        double r581670 = r581668 * r581669;
        double r581671 = r581664 + r581670;
        return r581671;
}

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 2019199 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))