Average Error: 3.4 → 3.4
Time: 5.3s
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 r215473 = x;
        double r215474 = 1.0;
        double r215475 = y;
        double r215476 = z;
        double r215477 = r215475 * r215476;
        double r215478 = r215474 - r215477;
        double r215479 = r215473 * r215478;
        return r215479;
}
↓
double f(double x, double y, double z) {
        double r215480 = x;
        double r215481 = 1.0;
        double r215482 = y;
        double r215483 = z;
        double r215484 = r215482 * r215483;
        double r215485 = r215481 - r215484;
        double r215486 = r215480 * r215485;
        return r215486;
}

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 3.4

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

  2. Final simplification3.4

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

Reproduce

herbie shell --seed 2019322 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))