Average Error: 0.0 → 0.0
Time: 3.0s
Precision: 64
\[x \cdot y + \left(1 - x\right) \cdot z\]
↓
\[x \cdot y + \left(1 - x\right) \cdot z\]
x \cdot y + \left(1 - x\right) \cdot z
↓
x \cdot y + \left(1 - x\right) \cdot z
double f(double x, double y, double z) {
        double r310778 = x;
        double r310779 = y;
        double r310780 = r310778 * r310779;
        double r310781 = 1.0;
        double r310782 = r310781 - r310778;
        double r310783 = z;
        double r310784 = r310782 * r310783;
        double r310785 = r310780 + r310784;
        return r310785;
}
↓
double f(double x, double y, double z) {
        double r310786 = x;
        double r310787 = y;
        double r310788 = r310786 * r310787;
        double r310789 = 1.0;
        double r310790 = r310789 - r310786;
        double r310791 = z;
        double r310792 = r310790 * r310791;
        double r310793 = r310788 + r310792;
        return r310793;
}

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 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020100 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  :precision binary64
  (+ (* x y) (* (- 1 x) z)))