Average Error: 0.1 → 0.1
Time: 3.5s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + y \cdot \sqrt{x}
double f(double x, double y) {
        double r91587 = 1.0;
        double r91588 = x;
        double r91589 = r91587 - r91588;
        double r91590 = y;
        double r91591 = sqrt(r91588);
        double r91592 = r91590 * r91591;
        double r91593 = r91589 + r91592;
        return r91593;
}
↓
double f(double x, double y) {
        double r91594 = 1.0;
        double r91595 = x;
        double r91596 = r91594 - r91595;
        double r91597 = y;
        double r91598 = sqrt(r91595);
        double r91599 = r91597 * r91598;
        double r91600 = r91596 + r91599;
        return r91600;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020056 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))