Average Error: 0.1 → 0.1
Time: 22.4s
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 r63511 = 1.0;
        double r63512 = x;
        double r63513 = r63511 - r63512;
        double r63514 = y;
        double r63515 = sqrt(r63512);
        double r63516 = r63514 * r63515;
        double r63517 = r63513 + r63516;
        return r63517;
}
↓
double f(double x, double y) {
        double r63518 = 1.0;
        double r63519 = x;
        double r63520 = r63518 - r63519;
        double r63521 = y;
        double r63522 = sqrt(r63519);
        double r63523 = r63521 * r63522;
        double r63524 = r63520 + r63523;
        return r63524;
}

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 2019325 +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))))