Average Error: 3.3 → 3.3
Time: 10.6s
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 r253228 = x;
        double r253229 = 1.0;
        double r253230 = y;
        double r253231 = z;
        double r253232 = r253230 * r253231;
        double r253233 = r253229 - r253232;
        double r253234 = r253228 * r253233;
        return r253234;
}
↓
double f(double x, double y, double z) {
        double r253235 = x;
        double r253236 = 1.0;
        double r253237 = y;
        double r253238 = z;
        double r253239 = r253237 * r253238;
        double r253240 = r253236 - r253239;
        double r253241 = r253235 * r253240;
        return r253241;
}

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 2020043 +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))))