Average Error: 3.2 → 3.2
Time: 13.1s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[\left(1 - y \cdot z\right) \cdot x\]
x \cdot \left(1 - y \cdot z\right)
↓
\left(1 - y \cdot z\right) \cdot x
double f(double x, double y, double z) {
        double r9909983 = x;
        double r9909984 = 1.0;
        double r9909985 = y;
        double r9909986 = z;
        double r9909987 = r9909985 * r9909986;
        double r9909988 = r9909984 - r9909987;
        double r9909989 = r9909983 * r9909988;
        return r9909989;
}
↓
double f(double x, double y, double z) {
        double r9909990 = 1.0;
        double r9909991 = y;
        double r9909992 = z;
        double r9909993 = r9909991 * r9909992;
        double r9909994 = r9909990 - r9909993;
        double r9909995 = x;
        double r9909996 = r9909994 * r9909995;
        return r9909996;
}

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 3.2

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

  2. Final simplification3.2

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

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))