Average Error: 0.2 → 0.2
Time: 12.6s
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 r41844792 = x;
        double r41844793 = y;
        double r41844794 = r41844793 - r41844792;
        double r41844795 = 6.0;
        double r41844796 = r41844794 * r41844795;
        double r41844797 = z;
        double r41844798 = r41844796 * r41844797;
        double r41844799 = r41844792 + r41844798;
        return r41844799;
}
↓
double f(double x, double y, double z) {
        double r41844800 = x;
        double r41844801 = y;
        double r41844802 = r41844801 - r41844800;
        double r41844803 = 6.0;
        double r41844804 = z;
        double r41844805 = r41844803 * r41844804;
        double r41844806 = r41844802 * r41844805;
        double r41844807 = r41844800 + r41844806;
        return r41844807;
}

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. 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 2019179 
(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)))