Average Error: 0.1 → 0.1
Time: 20.0s
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 r5720358 = 1.0;
        double r5720359 = x;
        double r5720360 = r5720358 - r5720359;
        double r5720361 = y;
        double r5720362 = sqrt(r5720359);
        double r5720363 = r5720361 * r5720362;
        double r5720364 = r5720360 + r5720363;
        return r5720364;
}
↓
double f(double x, double y) {
        double r5720365 = y;
        double r5720366 = x;
        double r5720367 = sqrt(r5720366);
        double r5720368 = r5720365 * r5720367;
        double r5720369 = 1.0;
        double r5720370 = r5720369 - r5720366;
        double r5720371 = r5720368 + r5720370;
        return r5720371;
}

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 2019158 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))