Average Error: 0.2 → 0.2
Time: 4.0s
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 r738572 = x;
        double r738573 = y;
        double r738574 = r738573 - r738572;
        double r738575 = 6.0;
        double r738576 = r738574 * r738575;
        double r738577 = z;
        double r738578 = r738576 * r738577;
        double r738579 = r738572 + r738578;
        return r738579;
}
↓
double f(double x, double y, double z) {
        double r738580 = x;
        double r738581 = y;
        double r738582 = r738581 - r738580;
        double r738583 = 6.0;
        double r738584 = r738582 * r738583;
        double r738585 = z;
        double r738586 = r738584 * r738585;
        double r738587 = r738580 + r738586;
        return r738587;
}

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
Target0.2
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 2020025 
(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)))