Average Error: 0.3 → 0.2
Time: 16.1s
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 r41340638 = x;
        double r41340639 = y;
        double r41340640 = r41340639 - r41340638;
        double r41340641 = 6.0;
        double r41340642 = r41340640 * r41340641;
        double r41340643 = z;
        double r41340644 = r41340642 * r41340643;
        double r41340645 = r41340638 + r41340644;
        return r41340645;
}
↓
double f(double x, double y, double z) {
        double r41340646 = x;
        double r41340647 = y;
        double r41340648 = r41340647 - r41340646;
        double r41340649 = 6.0;
        double r41340650 = z;
        double r41340651 = r41340649 * r41340650;
        double r41340652 = r41340648 * r41340651;
        double r41340653 = r41340646 + r41340652;
        return r41340653;
}

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 2019172 
(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)))