Average Error: 0.1 → 0.1
Time: 3.5s
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 r109517 = 1.0;
        double r109518 = x;
        double r109519 = r109517 - r109518;
        double r109520 = y;
        double r109521 = sqrt(r109518);
        double r109522 = r109520 * r109521;
        double r109523 = r109519 + r109522;
        return r109523;
}
↓
double f(double x, double y) {
        double r109524 = 1.0;
        double r109525 = x;
        double r109526 = r109524 - r109525;
        double r109527 = y;
        double r109528 = sqrt(r109525);
        double r109529 = r109527 * r109528;
        double r109530 = r109526 + r109529;
        return r109530;
}

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 2020003 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))