Average Error: 0.3 → 0.0
Time: 907.0ms
Precision: binary64
\[\frac{e^{x}}{e^{y}}\]
↓
\[e^{x - y}\]
\frac{e^{x}}{e^{y}}
↓
e^{x - y}
double code(double x, double y) {
	return ((double) (((double) exp(x)) / ((double) exp(y))));
}
↓
double code(double x, double y) {
	return ((double) exp(((double) (x - y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

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

  2. Simplified0.0

    \[\leadsto \color{blue}{e^{x - y}}\]

  3. Final simplification0.0

    \[\leadsto e^{x - y}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(/ (exp x) (exp y))"
  :precision binary64
  (/ (exp x) (exp y)))