Average Error: 16.4 → 0.0
Time: 8.7s
Precision: 64
\[x + \left(1 - x\right) \cdot \left(1 - y\right)\]
↓
\[y \cdot \left(x - 1\right) + 1\]
x + \left(1 - x\right) \cdot \left(1 - y\right)
↓
y \cdot \left(x - 1\right) + 1
double f(double x, double y) {
        double r470605 = x;
        double r470606 = 1.0;
        double r470607 = r470606 - r470605;
        double r470608 = y;
        double r470609 = r470606 - r470608;
        double r470610 = r470607 * r470609;
        double r470611 = r470605 + r470610;
        return r470611;
}
↓
double f(double x, double y) {
        double r470612 = y;
        double r470613 = x;
        double r470614 = 1.0;
        double r470615 = r470613 - r470614;
        double r470616 = r470612 * r470615;
        double r470617 = r470616 + r470614;
        return r470617;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original16.4
Target0.0
Herbie0.0
\[y \cdot x - \left(y - 1\right)\]

Derivation

  1. Initial program 16.4

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

  2. Taylor expanded around 0 0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019298 
(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))))