Average Error: 0.1 → 0.1
Time: 8.7s
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 r112401 = 1.0;
        double r112402 = x;
        double r112403 = r112401 - r112402;
        double r112404 = y;
        double r112405 = sqrt(r112402);
        double r112406 = r112404 * r112405;
        double r112407 = r112403 + r112406;
        return r112407;
}
↓
double f(double x, double y) {
        double r112408 = 1.0;
        double r112409 = x;
        double r112410 = r112408 - r112409;
        double r112411 = y;
        double r112412 = sqrt(r112409);
        double r112413 = r112411 * r112412;
        double r112414 = r112410 + r112413;
        return r112414;
}

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 2020042 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))