Average Error: 1.2 → 1.2
Time: 2.5s
Precision: binary64
\[\sin^{-1} \left(x + 1\right) - \sin^{-1} x\]
↓
\[\sin^{-1} \left(x + 1\right) - \sin^{-1} x\]
\sin^{-1} \left(x + 1\right) - \sin^{-1} x
↓
\sin^{-1} \left(x + 1\right) - \sin^{-1} x
double code(double x) {
	return ((double) (((double) asin(((double) (x + 1.0)))) - ((double) asin(x))));
}
↓
double code(double x) {
	return ((double) (((double) asin(((double) (x + 1.0)))) - ((double) asin(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.2

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

  2. Final simplification1.2

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

Reproduce

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