Average Error: 59.5 → 59.5
Time: 3.1s
Precision: binary64
\[\frac{\cos^{-1} \left(x + 1\right)}{2}\]
↓
\[\frac{\cos^{-1} \left(x + 1\right)}{2}\]
\frac{\cos^{-1} \left(x + 1\right)}{2}
↓
\frac{\cos^{-1} \left(x + 1\right)}{2}
double code(double x) {
	return ((double) (((double) acos(((double) (x + 1.0)))) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) acos(((double) (x + 1.0)))) / 2.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.5

    \[\frac{\cos^{-1} \left(x + 1\right)}{2}\]

  2. Final simplification59.5

    \[\leadsto \frac{\cos^{-1} \left(x + 1\right)}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (acos (+ x 1.0)) 2.0)"
  :precision binary64
  (/ (acos (+ x 1.0)) 2.0))