Average Error: 30.7 → 30.7
Time: 5.2s
Precision: binary64
\[\cos^{-1} \left(\sin x + \cos x\right)\]
↓
\[\cos^{-1} \left(\sin x + \cos x\right)\]
\cos^{-1} \left(\sin x + \cos x\right)
↓
\cos^{-1} \left(\sin x + \cos x\right)
double code(double x) {
	return ((double) acos(((double) (((double) sin(x)) + ((double) cos(x))))));
}
↓
double code(double x) {
	return ((double) acos(((double) (((double) sin(x)) + ((double) cos(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(acos (+ (sin x) (cos x)))"
  :precision binary64
  (acos (+ (sin x) (cos x))))