(pow x (pow x x))

Average Error: 0.1 → 0.1

Time: 8.7s

Precision: binary64

• could not determine a ground truth for program body

  1. x = -1.2499510398585455e+92

Math

\[{x}^{\left({x}^{x}\right)}\]

↓

\[{x}^{\left({x}^{x}\right)}\]

C

double code(double x) {
	return ((double) pow(x, ((double) pow(x, x))));
}

↓

double code(double x) {
	return ((double) pow(x, ((double) pow(x, x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.1

   \[{x}^{\left({x}^{x}\right)}\]

2. Final simplification 0.1

   \[\leadsto {x}^{\left({x}^{x}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(pow x (pow x x))"
  :precision binary64
  (pow x (pow x x)))