Average Error: 16.6 → 0.0
Time: 8.8s
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 r415556 = x;
        double r415557 = 1.0;
        double r415558 = r415557 - r415556;
        double r415559 = y;
        double r415560 = r415557 - r415559;
        double r415561 = r415558 * r415560;
        double r415562 = r415556 + r415561;
        return r415562;
}
↓
double f(double x, double y) {
        double r415563 = y;
        double r415564 = x;
        double r415565 = 1.0;
        double r415566 = r415564 - r415565;
        double r415567 = r415563 * r415566;
        double r415568 = r415567 + r415565;
        return r415568;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original16.6
Target0.0
Herbie0.0
\[y \cdot x - \left(y - 1\right)\]

Derivation

  1. Initial program 16.6

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

  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 2019297 
(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))))