Average Error: 0.0 → 0.0
Time: 1.9s
Precision: binary64
\[\sin x + \sqrt{x - 1}\]
↓
\[\sin x + \sqrt{x - 1}\]
\sin x + \sqrt{x - 1}
↓
\sin x + \sqrt{x - 1}
double code(double x) {
	return ((double) (((double) sin(x)) + ((double) sqrt(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(x)) + ((double) sqrt(((double) (x - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sin x + \sqrt{x - 1}\]

  2. Final simplification0.0

    \[\leadsto \sin x + \sqrt{x - 1}\]

Reproduce

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