Average Error: 0.2 → 0.2
Time: 1.9s
Precision: binary64
\[\sqrt{\left(e^{a} - \sin b\right) + 1}\]
↓
\[\sqrt{\left(e^{a} - \sin b\right) + 1}\]
\sqrt{\left(e^{a} - \sin b\right) + 1}
↓
\sqrt{\left(e^{a} - \sin b\right) + 1}
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) (((double) exp(a)) - ((double) sin(b)))) + 1.0))));
}
↓
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) (((double) exp(a)) - ((double) sin(b)))) + 1.0))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\sqrt{\left(e^{a} - \sin b\right) + 1}\]

  2. Final simplification0.2

    \[\leadsto \sqrt{\left(e^{a} - \sin b\right) + 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(sqrt (+ (- (exp a) (sin b)) 1))"
  :precision binary64
  (sqrt (+ (- (exp a) (sin b)) 1.0)))