Average Error: 0.1 → 0.1
Time: 11.6s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[1 - \left(x - \sqrt{x} \cdot y\right)\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
1 - \left(x - \sqrt{x} \cdot y\right)
double f(double x, double y) {
        double r80527 = 1.0;
        double r80528 = x;
        double r80529 = r80527 - r80528;
        double r80530 = y;
        double r80531 = sqrt(r80528);
        double r80532 = r80530 * r80531;
        double r80533 = r80529 + r80532;
        return r80533;
}
↓
double f(double x, double y) {
        double r80534 = 1.0;
        double r80535 = x;
        double r80536 = sqrt(r80535);
        double r80537 = y;
        double r80538 = r80536 * r80537;
        double r80539 = r80535 - r80538;
        double r80540 = r80534 - r80539;
        return r80540;
}

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

    \[\left(1 - x\right) + y \cdot \sqrt{x}\]

  2. Simplified0.1

    \[\leadsto \color{blue}{1 - \left(x - \sqrt{x} \cdot y\right)}\]

  3. Final simplification0.1

    \[\leadsto 1 - \left(x - \sqrt{x} \cdot y\right)\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))