Average Error: 0.1 → 0.1
Time: 3.7s
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 r86560 = 1.0;
        double r86561 = x;
        double r86562 = r86560 - r86561;
        double r86563 = y;
        double r86564 = sqrt(r86561);
        double r86565 = r86563 * r86564;
        double r86566 = r86562 + r86565;
        return r86566;
}
↓
double f(double x, double y) {
        double r86567 = 1.0;
        double r86568 = x;
        double r86569 = r86567 - r86568;
        double r86570 = y;
        double r86571 = sqrt(r86568);
        double r86572 = r86570 * r86571;
        double r86573 = r86569 + r86572;
        return r86573;
}

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 2020060 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))