Average Error: 3.3 → 3.3
Time: 16.4s
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 r187601 = x;
        double r187602 = 1.0;
        double r187603 = y;
        double r187604 = z;
        double r187605 = r187603 * r187604;
        double r187606 = r187602 - r187605;
        double r187607 = r187601 * r187606;
        return r187607;
}
↓
double f(double x, double y, double z) {
        double r187608 = x;
        double r187609 = 1.0;
        double r187610 = y;
        double r187611 = z;
        double r187612 = r187610 * r187611;
        double r187613 = r187609 - r187612;
        double r187614 = r187608 * r187613;
        return r187614;
}

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 +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))))