Average Error: 31.5 → 31.5
Time: 1.4s
Precision: binary64
\[\frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}\]
↓
\[\frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}\]
\frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}
↓
\frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}
double code(double x) {
	return ((double) (((double) cos(((double) (4.0 * ((double) pow(x, 6.0)))))) / ((double) (16.0 + ((double) pow(x, 4.0))))));
}
↓
double code(double x) {
	return ((double) (((double) cos(((double) (4.0 * ((double) pow(x, 6.0)))))) / ((double) (16.0 + ((double) pow(x, 4.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

    \[\frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}\]

  2. Final simplification31.5

    \[\leadsto \frac{\cos \left(4 \cdot {x}^{6}\right)}{16 + {x}^{4}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (cos (* 4 (pow x 6))) (+ 16 (pow x 4)))"
  :precision binary64
  (/ (cos (* 4.0 (pow x 6.0))) (+ 16.0 (pow x 4.0))))