Average Error: 0.3 → 0.2
Time: 3.8s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6 \cdot z\right)
double f(double x, double y, double z) {
        double r1665635 = x;
        double r1665636 = y;
        double r1665637 = r1665636 - r1665635;
        double r1665638 = 6.0;
        double r1665639 = r1665637 * r1665638;
        double r1665640 = z;
        double r1665641 = r1665639 * r1665640;
        double r1665642 = r1665635 + r1665641;
        return r1665642;
}
↓
double f(double x, double y, double z) {
        double r1665643 = x;
        double r1665644 = y;
        double r1665645 = r1665644 - r1665643;
        double r1665646 = 6.0;
        double r1665647 = z;
        double r1665648 = r1665646 * r1665647;
        double r1665649 = r1665645 * r1665648;
        double r1665650 = r1665643 + r1665649;
        return r1665650;
}

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

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6 \cdot z\right)}\]

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020057 
(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)))