Average Error: 0.1 → 0.1
Time: 17.3s
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 r51340 = 1.0;
        double r51341 = x;
        double r51342 = r51340 - r51341;
        double r51343 = y;
        double r51344 = sqrt(r51341);
        double r51345 = r51343 * r51344;
        double r51346 = r51342 + r51345;
        return r51346;
}
↓
double f(double x, double y) {
        double r51347 = 1.0;
        double r51348 = x;
        double r51349 = r51347 - r51348;
        double r51350 = y;
        double r51351 = sqrt(r51348);
        double r51352 = r51350 * r51351;
        double r51353 = r51349 + r51352;
        return r51353;
}

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 2019235 +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))))