Average Error: 0.7 → 0.7
Time: 864.0ms
Precision: binary64
\[\frac{e^{x}}{e^{x} + e^{y}}\]
↓
\[\frac{e^{x}}{e^{x} + e^{y}}\]
\frac{e^{x}}{e^{x} + e^{y}}
↓
\frac{e^{x}}{e^{x} + e^{y}}
double code(double x, double y) {
	return ((double) (((double) exp(x)) / ((double) (((double) exp(x)) + ((double) exp(y))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) exp(x)) / ((double) (((double) exp(x)) + ((double) exp(y))))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[\frac{e^{x}}{e^{x} + e^{y}}\]

  2. Final simplification0.7

    \[\leadsto \frac{e^{x}}{e^{x} + e^{y}}\]

Reproduce

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