Average Error: 3.3 → 3.3
Time: 14.5s
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 r195462 = x;
        double r195463 = 1.0;
        double r195464 = y;
        double r195465 = z;
        double r195466 = r195464 * r195465;
        double r195467 = r195463 - r195466;
        double r195468 = r195462 * r195467;
        return r195468;
}
↓
double f(double x, double y, double z) {
        double r195469 = x;
        double r195470 = 1.0;
        double r195471 = y;
        double r195472 = z;
        double r195473 = r195471 * r195472;
        double r195474 = r195470 - r195473;
        double r195475 = r195469 * r195474;
        return r195475;
}

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 2019304 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))