Exception for logs (example 3.8)

\[n > 6.8 \cdot 10^{+15}\]

Math

\[\left(\left(n + 1\right) \cdot \log \left(n + 1\right) - n \cdot \log n\right) - 1 \]

FPCore

(FPCore (n)
 :precision binary64
 (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0))

C

double code(double n) {
	return (((n + 1.0) * log((n + 1.0))) - (n * log(n))) - 1.0;
}

Fortran

real(8) function code(n)
    real(8), intent (in) :: n
    code = (((n + 1.0d0) * log((n + 1.0d0))) - (n * log(n))) - 1.0d0
end function

Java

public static double code(double n) {
	return (((n + 1.0) * Math.log((n + 1.0))) - (n * Math.log(n))) - 1.0;
}

Python

def code(n):
	return (((n + 1.0) * math.log((n + 1.0))) - (n * math.log(n))) - 1.0

Julia

function code(n)
	return Float64(Float64(Float64(Float64(n + 1.0) * log(Float64(n + 1.0))) - Float64(n * log(n))) - 1.0)
end

MATLAB

function tmp = code(n)
	tmp = (((n + 1.0) * log((n + 1.0))) - (n * log(n))) - 1.0;
end

Wolfram

code[n_] := N[(N[(N[(N[(n + 1.0), $MachinePrecision] * N[Log[N[(n + 1.0), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] - N[(n * N[Log[n], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2022150 
(FPCore (n)
  :name "logs (example 3.8)"
  :precision binary64
  :pre (> n 6.8e+15)

  :herbie-target
  (- (log (+ n 1.0)) (- (/ 1.0 (* 2.0 n)) (- (/ 1.0 (* 3.0 (* n n))) (/ 4.0 (pow n 3.0)))))

  (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0))

Backtrace

application: required keyword argument not supplied procedure: batch-egg-rewrite required keyword: #:rules arguments...: '(#<rule erfc-erf_binary64> #<rule erf-erfc_binary64> #<rule erf-odd_binary64> #<rule prod-diff_binary64> #<rule hypot-udef_binary64> #<rule expm1-log1p-u_binary64> #<rule log1p-expm1-u_binary64> #<rule log1p-udef_binary64> #<rule expm1-udef_binary64> #... #:depths '(1 1 1) #:roots '((2) (2) (2))		L	C
(unnamed)	/opt/racket-8.1/collects/racket/private/kw.rkt	1558	14
rewrite-expressions	/data/pavpan/nightlies/herbie/timeline/src/core/matcher.rkt	171	0
gen-rewrites!	/data/pavpan/nightlies/herbie/timeline/src/patch.rkt	144	0
patch-table-run	/data/pavpan/nightlies/herbie/timeline/src/patch.rkt	291	0
(unnamed)	/opt/racket-8.1/collects/racket/contract/private/arrow-val-first.rkt	486	18
run-iter!	/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt	246	0
mutate!	/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt	379	0
run-improve!	/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt	326	0
(unnamed)	/data/pavpan/nightlies/herbie/timeline/src/sandbox.rkt	66	6
(unnamed)	/opt/racket-8.1/share/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/opt/racket-8.1/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/opt/racket-8.1/collects/racket/engine.rkt	42	24