Average Error: 3.5 → 3.5
Time: 16.8s
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 r268188 = x;
        double r268189 = 1.0;
        double r268190 = y;
        double r268191 = z;
        double r268192 = r268190 * r268191;
        double r268193 = r268189 - r268192;
        double r268194 = r268188 * r268193;
        return r268194;
}
↓
double f(double x, double y, double z) {
        double r268195 = x;
        double r268196 = 1.0;
        double r268197 = y;
        double r268198 = z;
        double r268199 = r268197 * r268198;
        double r268200 = r268196 - r268199;
        double r268201 = r268195 * r268200;
        return r268201;
}

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 3.5

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

  2. Final simplification3.5

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

Reproduce

herbie shell --seed 2019198 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))