Average Error: 16.4 → 0.0
Time: 2.3s
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 r587072 = x;
        double r587073 = 1.0;
        double r587074 = r587073 - r587072;
        double r587075 = y;
        double r587076 = r587073 - r587075;
        double r587077 = r587074 * r587076;
        double r587078 = r587072 + r587077;
        return r587078;
}
↓
double f(double x, double y) {
        double r587079 = y;
        double r587080 = x;
        double r587081 = 1.0;
        double r587082 = r587080 - r587081;
        double r587083 = r587079 * r587082;
        double r587084 = r587083 + r587081;
        return r587084;
}

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 2019304 
(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))))