Average Error: 0.3 → 0.3
Time: 3.9s
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 r917310 = x;
        double r917311 = y;
        double r917312 = r917311 - r917310;
        double r917313 = 6.0;
        double r917314 = r917312 * r917313;
        double r917315 = z;
        double r917316 = r917314 * r917315;
        double r917317 = r917310 + r917316;
        return r917317;
}
↓
double f(double x, double y, double z) {
        double r917318 = x;
        double r917319 = y;
        double r917320 = r917319 - r917318;
        double r917321 = 6.0;
        double r917322 = r917320 * r917321;
        double r917323 = z;
        double r917324 = r917322 * r917323;
        double r917325 = r917318 + r917324;
        return r917325;
}

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 2020049 
(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)))