Average Error: 0.1 → 0.1
Time: 48.8s
Precision: 64
\[\left(1.0 - x\right) + y \cdot \sqrt{x}\]
↓
\[y \cdot \sqrt{x} + \left(1.0 - x\right)\]
\left(1.0 - x\right) + y \cdot \sqrt{x}
↓
y \cdot \sqrt{x} + \left(1.0 - x\right)
double f(double x, double y) {
        double r4850735 = 1.0;
        double r4850736 = x;
        double r4850737 = r4850735 - r4850736;
        double r4850738 = y;
        double r4850739 = sqrt(r4850736);
        double r4850740 = r4850738 * r4850739;
        double r4850741 = r4850737 + r4850740;
        return r4850741;
}
↓
double f(double x, double y) {
        double r4850742 = y;
        double r4850743 = x;
        double r4850744 = sqrt(r4850743);
        double r4850745 = r4850742 * r4850744;
        double r4850746 = 1.0;
        double r4850747 = r4850746 - r4850743;
        double r4850748 = r4850745 + r4850747;
        return r4850748;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(1.0 - x\right) + y \cdot \sqrt{x}\]

  2. Final simplification0.1

    \[\leadsto y \cdot \sqrt{x} + \left(1.0 - x\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))