Average Error: 2.9 → 2.9
Time: 9.2s
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 r208374 = x;
        double r208375 = 1.0;
        double r208376 = y;
        double r208377 = z;
        double r208378 = r208376 * r208377;
        double r208379 = r208375 - r208378;
        double r208380 = r208374 * r208379;
        return r208380;
}
↓
double f(double x, double y, double z) {
        double r208381 = x;
        double r208382 = 1.0;
        double r208383 = y;
        double r208384 = z;
        double r208385 = r208383 * r208384;
        double r208386 = r208382 - r208385;
        double r208387 = r208381 * r208386;
        return r208387;
}

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 2.9

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

  2. Final simplification2.9

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

Reproduce

herbie shell --seed 2019212 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))