Average Error: 0.1 → 0.1
Time: 14.7s
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 r60020 = 1.0;
        double r60021 = x;
        double r60022 = r60020 - r60021;
        double r60023 = y;
        double r60024 = sqrt(r60021);
        double r60025 = r60023 * r60024;
        double r60026 = r60022 + r60025;
        return r60026;
}
↓
double f(double x, double y) {
        double r60027 = 1.0;
        double r60028 = x;
        double r60029 = r60027 - r60028;
        double r60030 = y;
        double r60031 = sqrt(r60028);
        double r60032 = r60030 * r60031;
        double r60033 = r60029 + r60032;
        return r60033;
}

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 2019323 +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))))