Average Error: 26.1 → 26.1
Time: 3.2s
Precision: binary64
\[\sqrt{\left(e^{a \cdot b} - \sin \left(d \cdot e\right)\right) + 1}\]
↓
\[\sqrt{\left(e^{a \cdot b} - \sin \left(d \cdot e\right)\right) + 1}\]
\sqrt{\left(e^{a \cdot b} - \sin \left(d \cdot e\right)\right) + 1}
↓
\sqrt{\left(e^{a \cdot b} - \sin \left(d \cdot e\right)\right) + 1}
double code(double a, double b, double d, double e) {
	return ((double) sqrt(((double) (((double) (((double) exp(((double) (a * b)))) - ((double) sin(((double) (d * e)))))) + 1.0))));
}
↓
double code(double a, double b, double d, double e) {
	return ((double) sqrt(((double) (((double) (((double) exp(((double) (a * b)))) - ((double) sin(((double) (d * e)))))) + 1.0))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus d

Bits error versus e

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 26.1

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

  2. Final simplification26.1

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

Reproduce

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