Average Error: 0.1 → 0.1
Time: 11.2s
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 r168478 = 1.0;
        double r168479 = x;
        double r168480 = r168478 - r168479;
        double r168481 = y;
        double r168482 = sqrt(r168479);
        double r168483 = r168481 * r168482;
        double r168484 = r168480 + r168483;
        return r168484;
}
↓
double f(double x, double y) {
        double r168485 = 1.0;
        double r168486 = x;
        double r168487 = r168485 - r168486;
        double r168488 = y;
        double r168489 = sqrt(r168486);
        double r168490 = r168488 * r168489;
        double r168491 = r168487 + r168490;
        return r168491;
}

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 2019350 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))