Average Error: 0.1 → 0.1
Time: 1.0s
Precision: binary64
\[\left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e\]
↓
\[\left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e\]
\left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e
↓
\left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) M_PI))) + ((double) (x * ((double) log(((double) (x + 1.0)))))))) - ((double) M_E)));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) M_PI))) + ((double) (x * ((double) log(((double) (x + 1.0)))))))) - ((double) M_E)));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e\]

  2. Final simplification0.1

    \[\leadsto \left(\sqrt{\pi} + x \cdot \log \left(x + 1\right)\right) - e\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (+ (sqrt PI) (* x (log (+ x 1)))) E)"
  :precision binary64
  (- (+ (sqrt PI) (* x (log (+ x 1.0)))) E))