Average Error: 0.1 → 0.1
Time: 16.6s
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 r67696 = 1.0;
        double r67697 = x;
        double r67698 = r67696 - r67697;
        double r67699 = y;
        double r67700 = sqrt(r67697);
        double r67701 = r67699 * r67700;
        double r67702 = r67698 + r67701;
        return r67702;
}
↓
double f(double x, double y) {
        double r67703 = 1.0;
        double r67704 = x;
        double r67705 = r67703 - r67704;
        double r67706 = y;
        double r67707 = sqrt(r67704);
        double r67708 = r67706 * r67707;
        double r67709 = r67705 + r67708;
        return r67709;
}

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 2019209 +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))))