Average Error: 0.7 → 0.7
Time: 2.3s
Precision: binary64
\[\sin \left(1 + x\right) - \sqrt{x - 1}\]
↓
\[\sin \left(1 + x\right) - \sqrt{x - 1}\]
\sin \left(1 + x\right) - \sqrt{x - 1}
↓
\sin \left(1 + x\right) - \sqrt{x - 1}
double code(double x) {
	return ((double) (((double) sin(((double) (1.0 + x)))) - ((double) sqrt(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) (1.0 + 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 0.7

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

  2. Final simplification0.7

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sin (+ 1 x)) (sqrt (- x 1)))"
  :precision binary64
  (- (sin (+ 1.0 x)) (sqrt (- x 1.0))))