Average Error: 0.3 → 0.3
Time: 2.8s
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 r854819 = x;
        double r854820 = y;
        double r854821 = r854820 - r854819;
        double r854822 = 6.0;
        double r854823 = r854821 * r854822;
        double r854824 = z;
        double r854825 = r854823 * r854824;
        double r854826 = r854819 + r854825;
        return r854826;
}
↓
double f(double x, double y, double z) {
        double r854827 = x;
        double r854828 = y;
        double r854829 = r854828 - r854827;
        double r854830 = 6.0;
        double r854831 = r854829 * r854830;
        double r854832 = z;
        double r854833 = r854831 * r854832;
        double r854834 = r854827 + r854833;
        return r854834;
}

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
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020036 
(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)))