Average Error: 3.4 → 3.4
Time: 16.2s
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 r10106290 = x;
        double r10106291 = 1.0;
        double r10106292 = y;
        double r10106293 = z;
        double r10106294 = r10106292 * r10106293;
        double r10106295 = r10106291 - r10106294;
        double r10106296 = r10106290 * r10106295;
        return r10106296;
}
↓
double f(double x, double y, double z) {
        double r10106297 = 1.0;
        double r10106298 = y;
        double r10106299 = z;
        double r10106300 = r10106298 * r10106299;
        double r10106301 = r10106297 - r10106300;
        double r10106302 = x;
        double r10106303 = r10106301 * r10106302;
        return r10106303;
}

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 3.4

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

  2. Final simplification3.4

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

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))