Average Error: 10.0 → 10.0
Time: 1.4s
Precision: binary64
\[\log \left(x + 1\right) - logx\]
↓
\[\log \left(x + 1\right) - logx\]
\log \left(x + 1\right) - logx
↓
\log \left(x + 1\right) - logx
double code(double x, double logx) {
	return ((double) (((double) log(((double) (x + 1.0)))) - logx));
}
↓
double code(double x, double logx) {
	return ((double) (((double) log(((double) (x + 1.0)))) - logx));
}

Error

Bits error versus x

Bits error versus logx

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 10.0

    \[\log \left(x + 1\right) - logx\]

  2. Final simplification10.0

    \[\leadsto \log \left(x + 1\right) - logx\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x logx)
  :name "(- (log (+ x 1.0)) logx)"
  :precision binary64
  (- (log (+ x 1.0)) logx))