Average Error: 0.2 → 0.2
Time: 13.1s
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 r789272 = x;
        double r789273 = y;
        double r789274 = r789273 - r789272;
        double r789275 = 6.0;
        double r789276 = r789274 * r789275;
        double r789277 = z;
        double r789278 = r789276 * r789277;
        double r789279 = r789272 + r789278;
        return r789279;
}
↓
double f(double x, double y, double z) {
        double r789280 = x;
        double r789281 = y;
        double r789282 = r789281 - r789280;
        double r789283 = 6.0;
        double r789284 = r789282 * r789283;
        double r789285 = z;
        double r789286 = r789284 * r789285;
        double r789287 = r789280 + r789286;
        return r789287;
}

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 
(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)))