Average Error: 0.1 → 0.1
Time: 3.9s
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 r122228 = 1.0;
        double r122229 = x;
        double r122230 = r122228 - r122229;
        double r122231 = y;
        double r122232 = sqrt(r122229);
        double r122233 = r122231 * r122232;
        double r122234 = r122230 + r122233;
        return r122234;
}
↓
double f(double x, double y) {
        double r122235 = 1.0;
        double r122236 = x;
        double r122237 = r122235 - r122236;
        double r122238 = y;
        double r122239 = sqrt(r122236);
        double r122240 = r122238 * r122239;
        double r122241 = r122237 + r122240;
        return r122241;
}

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 2020062 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))