Average Error: 0.2 → 0.2
Time: 6.7s
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 r5040 = x;
        double r5041 = y;
        double r5042 = r5041 - r5040;
        double r5043 = 6.0;
        double r5044 = r5042 * r5043;
        double r5045 = z;
        double r5046 = r5044 * r5045;
        double r5047 = r5040 + r5046;
        return r5047;
}
↓
double f(double x, double y, double z) {
        double r5048 = x;
        double r5049 = y;
        double r5050 = r5049 - r5048;
        double r5051 = 6.0;
        double r5052 = r5050 * r5051;
        double r5053 = z;
        double r5054 = r5052 * r5053;
        double r5055 = r5048 + r5054;
        return r5055;
}

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 +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)))