Average Error: 0.1 → 0.1
Time: 5.3s
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 r67585 = 1.0;
        double r67586 = x;
        double r67587 = r67585 - r67586;
        double r67588 = y;
        double r67589 = sqrt(r67586);
        double r67590 = r67588 * r67589;
        double r67591 = r67587 + r67590;
        return r67591;
}
↓
double f(double x, double y) {
        double r67592 = 1.0;
        double r67593 = x;
        double r67594 = r67592 - r67593;
        double r67595 = y;
        double r67596 = sqrt(r67593);
        double r67597 = r67595 * r67596;
        double r67598 = r67594 + r67597;
        return r67598;
}

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 2019322 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))