Average Error: 0.2 → 0.2
Time: 37.1s
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 r886258 = x;
        double r886259 = y;
        double r886260 = r886259 - r886258;
        double r886261 = 6.0;
        double r886262 = r886260 * r886261;
        double r886263 = z;
        double r886264 = r886262 * r886263;
        double r886265 = r886258 + r886264;
        return r886265;
}
↓
double f(double x, double y, double z) {
        double r886266 = x;
        double r886267 = y;
        double r886268 = r886267 - r886266;
        double r886269 = 6.0;
        double r886270 = r886268 * r886269;
        double r886271 = z;
        double r886272 = r886270 * r886271;
        double r886273 = r886266 + r886272;
        return r886273;
}

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)))