Average Error: 0.3 → 0.3
Time: 3.8s
Precision: binary64
\[{\left(\sin x\right)}^{2} + {\left(\cos y\right)}^{2}\]
↓
\[{\left(\sin x\right)}^{2} + {\left(\cos y\right)}^{2}\]
{\left(\sin x\right)}^{2} + {\left(\cos y\right)}^{2}
↓
{\left(\sin x\right)}^{2} + {\left(\cos y\right)}^{2}
double code(double x, double y) {
	return ((double) (((double) pow(((double) sin(x)), 2.0)) + ((double) pow(((double) cos(y)), 2.0))));
}
↓
double code(double x, double y) {
	return ((double) (((double) pow(((double) sin(x)), 2.0)) + ((double) pow(((double) cos(y)), 2.0))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

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