Average Error: 0.3 → 0.3
Time: 4.0s
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 r802033 = x;
        double r802034 = y;
        double r802035 = r802034 - r802033;
        double r802036 = 6.0;
        double r802037 = r802035 * r802036;
        double r802038 = z;
        double r802039 = r802037 * r802038;
        double r802040 = r802033 + r802039;
        return r802040;
}
↓
double f(double x, double y, double z) {
        double r802041 = x;
        double r802042 = y;
        double r802043 = r802042 - r802041;
        double r802044 = 6.0;
        double r802045 = r802043 * r802044;
        double r802046 = z;
        double r802047 = r802045 * r802046;
        double r802048 = r802041 + r802047;
        return r802048;
}

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 2020018 
(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)))