(sqrt (- (pow PI x) (pow E x)))

Average Error: 59.2 → 59.2

Time: 28.3s

Precision: binary64

• could not determine a ground truth for program body

  1. x = -6.606250752825857e+65

Math

\[\sqrt{{\pi}^{x} - {e}^{x}}\]

↓

\[\sqrt{{\pi}^{x} - {e}^{x}}\]

C

double code(double x) {
	return ((double) sqrt(((double) (((double) pow(((double) M_PI), x)) - ((double) pow(((double) M_E), x))))));
}

↓

double code(double x) {
	return ((double) sqrt(((double) (((double) pow(((double) M_PI), x)) - ((double) pow(((double) M_E), x))))));
}

Error

Bits error versus x

Derivation

1. Initial program 59.2

   \[\sqrt{{\pi}^{x} - {e}^{x}}\]

2. Final simplification 59.2

   \[\leadsto \sqrt{{\pi}^{x} - {e}^{x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (- (pow PI x) (pow E x)))"
  :precision binary64
  (sqrt (- (pow PI x) (pow E x))))