Average Error: 0.2 → 0.2
Time: 4.1s
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 r867143 = x;
        double r867144 = y;
        double r867145 = r867144 - r867143;
        double r867146 = 6.0;
        double r867147 = r867145 * r867146;
        double r867148 = z;
        double r867149 = r867147 * r867148;
        double r867150 = r867143 + r867149;
        return r867150;
}
↓
double f(double x, double y, double z) {
        double r867151 = x;
        double r867152 = y;
        double r867153 = r867152 - r867151;
        double r867154 = 6.0;
        double r867155 = r867153 * r867154;
        double r867156 = z;
        double r867157 = r867155 * r867156;
        double r867158 = r867151 + r867157;
        return r867158;
}

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)))