Average Error: 5.2 → 5.2
Time: 848.0ms
Precision: binary64
\[\mathsf{log1p}\left(\frac{x}{y}\right)\]
↓
\[\mathsf{log1p}\left(\frac{x}{y}\right)\]
\mathsf{log1p}\left(\frac{x}{y}\right)
↓
\mathsf{log1p}\left(\frac{x}{y}\right)
double code(double x, double y) {
	return ((double) log1p(((double) (x / y))));
}
↓
double code(double x, double y) {
	return ((double) log1p(((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 5.2

    \[\mathsf{log1p}\left(\frac{x}{y}\right)\]

  2. Final simplification5.2

    \[\leadsto \mathsf{log1p}\left(\frac{x}{y}\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(log1p (/ x y))"
  :precision binary64
  (log1p (/ x y)))