Average Error: 0.7 → 0.7
Time: 2.2s
Precision: binary64
\[\sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}\]
↓
\[\sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}\]
\sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}
↓
\sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - ((double) exp2(x)))))) - ((double) sqrt(((double) (1.0 + ((double) exp2(x))))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - ((double) exp2(x)))))) - ((double) sqrt(((double) (1.0 + ((double) exp2(x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[\sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}\]

  2. Final simplification0.7

    \[\leadsto \sqrt{1 - 2^{x}} - \sqrt{1 + 2^{x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (- 1 (exp2 x))) (sqrt (+ 1 (exp2 x))))"
  :precision binary64
  (- (sqrt (- 1.0 (exp2 x))) (sqrt (+ 1.0 (exp2 x)))))