Average Error: 0.3 → 0.3
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 r788581 = x;
        double r788582 = y;
        double r788583 = r788582 - r788581;
        double r788584 = 6.0;
        double r788585 = r788583 * r788584;
        double r788586 = z;
        double r788587 = r788585 * r788586;
        double r788588 = r788581 + r788587;
        return r788588;
}
↓
double f(double x, double y, double z) {
        double r788589 = x;
        double r788590 = y;
        double r788591 = r788590 - r788589;
        double r788592 = 6.0;
        double r788593 = r788591 * r788592;
        double r788594 = z;
        double r788595 = r788593 * r788594;
        double r788596 = r788589 + r788595;
        return r788596;
}

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 2020083 +o rules:numerics
(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)))