Average Error: 0.1 → 0.1
Time: 38.9s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[\left(1 - x\right) + \sqrt{x} \cdot y\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + \sqrt{x} \cdot y
double f(double x, double y) {
        double r3970211 = 1.0;
        double r3970212 = x;
        double r3970213 = r3970211 - r3970212;
        double r3970214 = y;
        double r3970215 = sqrt(r3970212);
        double r3970216 = r3970214 * r3970215;
        double r3970217 = r3970213 + r3970216;
        return r3970217;
}
↓
double f(double x, double y) {
        double r3970218 = 1.0;
        double r3970219 = x;
        double r3970220 = r3970218 - r3970219;
        double r3970221 = sqrt(r3970219);
        double r3970222 = y;
        double r3970223 = r3970221 * r3970222;
        double r3970224 = r3970220 + r3970223;
        return r3970224;
}

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

    \[\leadsto \left(1 - x\right) + \sqrt{x} \cdot y\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))