Average Error: 0.1 → 0.1
Time: 17.6s
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 r67850 = 1.0;
        double r67851 = x;
        double r67852 = r67850 - r67851;
        double r67853 = y;
        double r67854 = sqrt(r67851);
        double r67855 = r67853 * r67854;
        double r67856 = r67852 + r67855;
        return r67856;
}
↓
double f(double x, double y) {
        double r67857 = 1.0;
        double r67858 = x;
        double r67859 = r67857 - r67858;
        double r67860 = y;
        double r67861 = sqrt(r67858);
        double r67862 = r67860 * r67861;
        double r67863 = r67859 + r67862;
        return r67863;
}

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 2019322 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))