Average Error: 0.2 → 0.2
Time: 22.6s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(z \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(z \cdot 6\right)
double f(double x, double y, double z) {
        double r551018 = x;
        double r551019 = y;
        double r551020 = r551019 - r551018;
        double r551021 = 6.0;
        double r551022 = r551020 * r551021;
        double r551023 = z;
        double r551024 = r551022 * r551023;
        double r551025 = r551018 + r551024;
        return r551025;
}
↓
double f(double x, double y, double z) {
        double r551026 = x;
        double r551027 = y;
        double r551028 = r551027 - r551026;
        double r551029 = z;
        double r551030 = 6.0;
        double r551031 = r551029 * r551030;
        double r551032 = r551028 * r551031;
        double r551033 = r551026 + r551032;
        return r551033;
}

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. Simplified0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019323 
(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)))