Average Error: 16.3 → 0.0
Time: 792.0ms
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 r458598 = x;
        double r458599 = 1.0;
        double r458600 = r458599 - r458598;
        double r458601 = y;
        double r458602 = r458599 - r458601;
        double r458603 = r458600 * r458602;
        double r458604 = r458598 + r458603;
        return r458604;
}
↓
double f(double x, double y) {
        double r458605 = x;
        double r458606 = y;
        double r458607 = r458605 * r458606;
        double r458608 = 1.0;
        double r458609 = r458607 + r458608;
        double r458610 = r458608 * r458606;
        double r458611 = r458609 - r458610;
        return r458611;
}

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 2020046 
(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))))