(/ Y (log (exp x)))

Average Error: 60.6 → 60.6

Time: 8.8s

Precision: binary64

• could not determine a ground truth for program body

  1. Y = 5.439533459030745e-36
  2. x = 2.7279434923395366e+116

Math

\[\frac{Y}{\log \left(e^{x}\right)}\]

↓

\[\frac{Y}{\log \left(e^{x}\right)}\]

C

double code(double Y, double x) {
	return ((double) (Y / ((double) log(((double) exp(x))))));
}

↓

double code(double Y, double x) {
	return ((double) (Y / ((double) log(((double) exp(x))))));
}

Error

Bits error versus Y

Bits error versus x

Derivation

1. Initial program 60.6

   \[\frac{Y}{\log \left(e^{x}\right)}\]

2. Final simplification 60.6

   \[\leadsto \frac{Y}{\log \left(e^{x}\right)}\]

Reproduce

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