Average Error: 0.1 → 0.1
Time: 21.9s
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 r4535870 = 1.0;
        double r4535871 = x;
        double r4535872 = r4535870 - r4535871;
        double r4535873 = y;
        double r4535874 = sqrt(r4535871);
        double r4535875 = r4535873 * r4535874;
        double r4535876 = r4535872 + r4535875;
        return r4535876;
}
↓
double f(double x, double y) {
        double r4535877 = y;
        double r4535878 = x;
        double r4535879 = sqrt(r4535878);
        double r4535880 = r4535877 * r4535879;
        double r4535881 = 1.0;
        double r4535882 = r4535881 - r4535878;
        double r4535883 = r4535880 + r4535882;
        return r4535883;
}

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 2019168 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))