Average Error: 16.3 → 0.0
Time: 850.0ms
Precision: 64
\[x + \left(1 - x\right) \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y + 1\right) - 1 \cdot y\]
x + \left(1 - x\right) \cdot \left(1 - y\right)
↓
\left(x \cdot y + 1\right) - 1 \cdot y
double f(double x, double y) {
        double r609997 = x;
        double r609998 = 1.0;
        double r609999 = r609998 - r609997;
        double r610000 = y;
        double r610001 = r609998 - r610000;
        double r610002 = r609999 * r610001;
        double r610003 = r609997 + r610002;
        return r610003;
}
↓
double f(double x, double y) {
        double r610004 = x;
        double r610005 = y;
        double r610006 = r610004 * r610005;
        double r610007 = 1.0;
        double r610008 = r610006 + r610007;
        double r610009 = r610007 * r610005;
        double r610010 = r610008 - r610009;
        return r610010;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original16.3
Target0.0
Herbie0.0
\[y \cdot x - \left(y - 1\right)\]

Derivation

  1. Initial program 16.3

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

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{\left(x \cdot y + 1\right) - 1 \cdot y}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020060 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- (* y x) (- y 1))

  (+ x (* (- 1 x) (- 1 y))))