Average Error: 0.1 → 0.1
Time: 8.5s
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 r109765 = 1.0;
        double r109766 = x;
        double r109767 = r109765 - r109766;
        double r109768 = y;
        double r109769 = sqrt(r109766);
        double r109770 = r109768 * r109769;
        double r109771 = r109767 + r109770;
        return r109771;
}
↓
double f(double x, double y) {
        double r109772 = 1.0;
        double r109773 = x;
        double r109774 = r109772 - r109773;
        double r109775 = y;
        double r109776 = sqrt(r109773);
        double r109777 = r109775 * r109776;
        double r109778 = r109774 + r109777;
        return r109778;
}

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 2020047 +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))))