Average Error: 3.1 → 3.1
Time: 13.6s
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 r287323 = x;
        double r287324 = 1.0;
        double r287325 = y;
        double r287326 = z;
        double r287327 = r287325 * r287326;
        double r287328 = r287324 - r287327;
        double r287329 = r287323 * r287328;
        return r287329;
}
↓
double f(double x, double y, double z) {
        double r287330 = x;
        double r287331 = 1.0;
        double r287332 = y;
        double r287333 = z;
        double r287334 = r287332 * r287333;
        double r287335 = r287331 - r287334;
        double r287336 = r287330 * r287335;
        return r287336;
}

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 3.1

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

  2. Final simplification3.1

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))