Average Error: 0.0 → 0.0
Time: 922.0ms
Precision: binary64
\[\frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}\]
↓
\[\frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}\]
\frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}
↓
\frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}
double code(double x) {
	return ((double) (((double) (((double) exp(((double) (((double) (x + 1.0)) + 1.0)))) - ((double) exp(60.0)))) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) exp(((double) (((double) (x + 1.0)) + 1.0)))) - ((double) exp(60.0)))) / 2.0));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}\]

  2. Final simplification0.0

    \[\leadsto \frac{e^{\left(x + 1\right) + 1} - e^{60}}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (- (exp (+ (+ x 1.0) 1.0)) (exp 60.0)) 2.0)"
  :precision binary64
  (/ (- (exp (+ (+ x 1.0) 1.0)) (exp 60.0)) 2.0))