Average Error: 3.3 → 3.3
Time: 9.5s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[x \cdot \left(1 - y \cdot z\right)\]
x \cdot \left(1 - y \cdot z\right)
↓
x \cdot \left(1 - y \cdot z\right)
double f(double x, double y, double z) {
        double r253502 = x;
        double r253503 = 1.0;
        double r253504 = y;
        double r253505 = z;
        double r253506 = r253504 * r253505;
        double r253507 = r253503 - r253506;
        double r253508 = r253502 * r253507;
        return r253508;
}
↓
double f(double x, double y, double z) {
        double r253509 = x;
        double r253510 = 1.0;
        double r253511 = y;
        double r253512 = z;
        double r253513 = r253511 * r253512;
        double r253514 = r253510 - r253513;
        double r253515 = r253509 * r253514;
        return r253515;
}

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

Derivation

  1. Initial program 3.3

    \[x \cdot \left(1 - y \cdot z\right)\]

  2. Final simplification3.3

    \[\leadsto x \cdot \left(1 - y \cdot z\right)\]

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))