Average Error: 0.2 → 0.2
Time: 6.9s
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 r4961 = x;
        double r4962 = y;
        double r4963 = r4962 - r4961;
        double r4964 = 6.0;
        double r4965 = r4963 * r4964;
        double r4966 = z;
        double r4967 = r4965 * r4966;
        double r4968 = r4961 + r4967;
        return r4968;
}
↓
double f(double x, double y, double z) {
        double r4969 = x;
        double r4970 = y;
        double r4971 = r4970 - r4969;
        double r4972 = 6.0;
        double r4973 = r4971 * r4972;
        double r4974 = z;
        double r4975 = r4973 * r4974;
        double r4976 = r4969 + r4975;
        return r4976;
}

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 2020025 
(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)))