Average Error: 0.1 → 0.1
Time: 2.2s
Precision: binary64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + y \cdot \sqrt{x}
(FPCore (x y) :precision binary64 (+ (- 1.0 x) (* y (sqrt x))))
↓
(FPCore (x y) :precision binary64 (+ (- 1.0 x) (* y (sqrt x))))
double code(double x, double y) {
	return ((double) (((double) (1.0 - x)) + ((double) (y * ((double) sqrt(x))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (1.0 - x)) + ((double) (y * ((double) sqrt(x))))));
}

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 Error: 0.1 bits

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

  2. Final simplificationError: 0.1 bits

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

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1.0 x) (* y (sqrt x))))