Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)\]
↓
\[\left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)\]
\left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)
↓
\left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) sqrt(x)) + 1.0)) + 1.0)) + ((double) fmax(x, y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) sqrt(x)) + 1.0)) + 1.0)) + ((double) fmax(x, y))));
}

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 0.0

    \[\left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\sqrt{x} + 1\right) + 1\right) + \mathsf{max}\left(x, y\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (+ (+ (sqrt x) 1) 1) (fmax x y))"
  :precision binary64
  (+ (+ (+ (sqrt x) 1.0) 1.0) (fmax x y)))