Average Error: 16.6 → 0.0
Time: 1.0s
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 r634145 = x;
        double r634146 = 1.0;
        double r634147 = r634146 - r634145;
        double r634148 = y;
        double r634149 = r634146 - r634148;
        double r634150 = r634147 * r634149;
        double r634151 = r634145 + r634150;
        return r634151;
}
↓
double f(double x, double y) {
        double r634152 = x;
        double r634153 = y;
        double r634154 = r634152 * r634153;
        double r634155 = 1.0;
        double r634156 = r634154 + r634155;
        double r634157 = r634155 * r634153;
        double r634158 = r634156 - r634157;
        return r634158;
}

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

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

Reproduce

herbie shell --seed 2020049 
(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))))