Average Error: 26.8 → 26.8
Time: 2.3s
Precision: binary64
\[\left(\sqrt{x + 1} - \sqrt{x}\right) + \sin \left(x - 1\right)\]
↓
\[\left(\sqrt{x + 1} - \sqrt{x}\right) + \sin \left(x - 1\right)\]
\left(\sqrt{x + 1} - \sqrt{x}\right) + \sin \left(x - 1\right)
↓
\left(\sqrt{x + 1} - \sqrt{x}\right) + \sin \left(x - 1\right)
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x)))) + ((double) sin(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x)))) + ((double) sin(((double) (x - 1.0))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 26.8

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

  2. Final simplification26.8

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

Reproduce

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