Average Error: 0.1 → 0.1
Time: 4.0s
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 r76218 = 1.0;
        double r76219 = x;
        double r76220 = r76218 - r76219;
        double r76221 = y;
        double r76222 = sqrt(r76219);
        double r76223 = r76221 * r76222;
        double r76224 = r76220 + r76223;
        return r76224;
}
↓
double f(double x, double y) {
        double r76225 = 1.0;
        double r76226 = x;
        double r76227 = r76225 - r76226;
        double r76228 = y;
        double r76229 = sqrt(r76226);
        double r76230 = r76228 * r76229;
        double r76231 = r76227 + r76230;
        return r76231;
}

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))))