Average Error: 3.3 → 3.3
Time: 4.5s
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 r291201 = x;
        double r291202 = 1.0;
        double r291203 = y;
        double r291204 = z;
        double r291205 = r291203 * r291204;
        double r291206 = r291202 - r291205;
        double r291207 = r291201 * r291206;
        return r291207;
}
↓
double f(double x, double y, double z) {
        double r291208 = x;
        double r291209 = 1.0;
        double r291210 = y;
        double r291211 = z;
        double r291212 = r291210 * r291211;
        double r291213 = r291209 - r291212;
        double r291214 = r291208 * r291213;
        return r291214;
}

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 2020036 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))