Average Error: 0.1 → 0.1
Time: 9.8s
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 r90551 = 1.0;
        double r90552 = x;
        double r90553 = r90551 - r90552;
        double r90554 = y;
        double r90555 = sqrt(r90552);
        double r90556 = r90554 * r90555;
        double r90557 = r90553 + r90556;
        return r90557;
}
↓
double f(double x, double y) {
        double r90558 = 1.0;
        double r90559 = x;
        double r90560 = r90558 - r90559;
        double r90561 = y;
        double r90562 = sqrt(r90559);
        double r90563 = r90561 * r90562;
        double r90564 = r90560 + r90563;
        return r90564;
}

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 2020045 +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))))