Average Error: 0.2 → 0.2
Time: 14.4s
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 r1023622 = x;
        double r1023623 = y;
        double r1023624 = r1023623 - r1023622;
        double r1023625 = 6.0;
        double r1023626 = r1023624 * r1023625;
        double r1023627 = z;
        double r1023628 = r1023626 * r1023627;
        double r1023629 = r1023622 + r1023628;
        return r1023629;
}
↓
double f(double x, double y, double z) {
        double r1023630 = x;
        double r1023631 = y;
        double r1023632 = r1023631 - r1023630;
        double r1023633 = 6.0;
        double r1023634 = r1023632 * r1023633;
        double r1023635 = z;
        double r1023636 = r1023634 * r1023635;
        double r1023637 = r1023630 + r1023636;
        return r1023637;
}

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 2020046 +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)))