Average Error: 0.2 → 0.2
Time: 12.9s
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 r23887583 = x;
        double r23887584 = y;
        double r23887585 = r23887584 - r23887583;
        double r23887586 = 6.0;
        double r23887587 = r23887585 * r23887586;
        double r23887588 = z;
        double r23887589 = r23887587 * r23887588;
        double r23887590 = r23887583 + r23887589;
        return r23887590;
}
↓
double f(double x, double y, double z) {
        double r23887591 = x;
        double r23887592 = y;
        double r23887593 = r23887592 - r23887591;
        double r23887594 = 6.0;
        double r23887595 = r23887593 * r23887594;
        double r23887596 = z;
        double r23887597 = r23887595 * r23887596;
        double r23887598 = r23887591 + r23887597;
        return r23887598;
}

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

Original0.2
Target0.1
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019169 +o rules:numerics
(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)))