Average Error: 1.2 → 1.2
Time: 3.7s
Precision: binary64
\[\cos^{-1} \left(x + 1\right) \cdot x - \sin x\]
↓
\[\cos^{-1} \left(x + 1\right) \cdot x - \sin x\]
\cos^{-1} \left(x + 1\right) \cdot x - \sin x
↓
\cos^{-1} \left(x + 1\right) \cdot x - \sin x
double code(double x) {
	return ((double) (((double) (((double) acos(((double) (x + 1.0)))) * x)) - ((double) sin(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) acos(((double) (x + 1.0)))) * x)) - ((double) sin(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

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

  2. Final simplification1.2

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

Reproduce

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