Average Error: 24.9 → 24.9
Time: 3.1s
Precision: binary64
\[{\left(\sin \left(x + 1\right)\right)}^{2} + {\left(\cos x\right)}^{2}\]
↓
\[{\left(\sin \left(x + 1\right)\right)}^{2} + {\left(\cos x\right)}^{2}\]
{\left(\sin \left(x + 1\right)\right)}^{2} + {\left(\cos x\right)}^{2}
↓
{\left(\sin \left(x + 1\right)\right)}^{2} + {\left(\cos x\right)}^{2}
double code(double x) {
	return ((double) (((double) pow(((double) sin(((double) (x + 1.0)))), 2.0)) + ((double) pow(((double) cos(x)), 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) pow(((double) sin(((double) (x + 1.0)))), 2.0)) + ((double) pow(((double) cos(x)), 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 24.9

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

  2. Final simplification24.9

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (pow (sin (+ x 1)) 2) (pow (cos x) 2))"
  :precision binary64
  (+ (pow (sin (+ x 1.0)) 2.0) (pow (cos x) 2.0)))