Average Error: 23.6 → 23.6
Time: 960.0ms
Precision: binary64
\[\frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}\]
↓
\[\frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}\]
\frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}
↓
\frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}
double code(double x) {
	return ((double) (((double) (((double) pow(x, 2.0)) + 1.0)) / ((double) pow(((double) (((double) pow(x, 2.0)) - 1.0)), 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) pow(x, 2.0)) + 1.0)) / ((double) pow(((double) (((double) pow(x, 2.0)) - 1.0)), 2.0))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.6

    \[\frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}\]

  2. Final simplification23.6

    \[\leadsto \frac{{x}^{2} + 1}{{\left({x}^{2} - 1\right)}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (+ (pow x 2) 1) (pow (- (pow x 2) 1) 2))"
  :precision binary64
  (/ (+ (pow x 2.0) 1.0) (pow (- (pow x 2.0) 1.0) 2.0)))