Average Error: 16.3 → 0.0
Time: 1.6s
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 r651536 = x;
        double r651537 = 1.0;
        double r651538 = r651537 - r651536;
        double r651539 = y;
        double r651540 = r651537 - r651539;
        double r651541 = r651538 * r651540;
        double r651542 = r651536 + r651541;
        return r651542;
}
↓
double f(double x, double y) {
        double r651543 = x;
        double r651544 = y;
        double r651545 = r651543 * r651544;
        double r651546 = 1.0;
        double r651547 = r651545 + r651546;
        double r651548 = r651546 * r651544;
        double r651549 = r651547 - r651548;
        return r651549;
}

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 2020036 
(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))))