Average Error: 39.0 → 39.0
Time: 2.0s
Precision: binary64
\[\frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}\]
↓
\[\frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}\]
\frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}
↓
\frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}
double code(double x) {
	return ((double) (((double) (((double) exp(((double) (2.0 * x)))) - 1.0)) / ((double) (((double) exp(((double) (2.0 * x)))) + 1.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) exp(((double) (2.0 * x)))) - 1.0)) / ((double) (((double) exp(((double) (2.0 * x)))) + 1.0))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 39.0

    \[\frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}\]

  2. Final simplification39.0

    \[\leadsto \frac{e^{2 \cdot x} - 1}{e^{2 \cdot x} + 1}\]

Reproduce

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