Average Error: 0.3 → 0.3
Time: 24.3s
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 r605043 = x;
        double r605044 = y;
        double r605045 = r605044 - r605043;
        double r605046 = 6.0;
        double r605047 = r605045 * r605046;
        double r605048 = z;
        double r605049 = r605047 * r605048;
        double r605050 = r605043 + r605049;
        return r605050;
}
↓
double f(double x, double y, double z) {
        double r605051 = x;
        double r605052 = y;
        double r605053 = r605052 - r605051;
        double r605054 = 6.0;
        double r605055 = r605053 * r605054;
        double r605056 = z;
        double r605057 = r605055 * r605056;
        double r605058 = r605051 + r605057;
        return r605058;
}

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 2019306 +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)))