Details

sample145.0ms

Algorithm

intervals

Results

68.0ms	113×	body	1280	valid
35.0ms	80×	body	640	valid
13.0ms	50×	body	320	valid
10.0ms	13×	body	160	valid
7.0ms	256×	pre	80	true

simplify174.0ms

Calls

1 calls:

Slowest

174.0ms

(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize38.0ms

Local error

Found 3 expressions with local error:

6.3b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--l+`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-l` `insert-posit16`
2×	`associate-l/` `-commutative`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `flip-+` `flip--`

Calls

3 calls:

Slowest

16.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
6.0ms	(* (+ n 1) (log (+ n 1)))
1.0ms	(* n (log n))

series362.0ms

Calls

3 calls:

Slowest

191.0ms	(* n (log n))
123.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
47.0ms	(* (+ n 1) (log (+ n 1)))

simplify3.5s

Calls

36 calls:

Slowest

495.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
418.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
339.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
329.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) (* 1/6 (pow n 3))))
298.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))

prune616.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 1 expressions with local error:

1.3b	(/ 1/6 (* n n))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(/ 1/6 (* n n))

series19.0ms

Calls

1 calls:

Slowest

19.0ms

(/ 1/6 (* n n))

simplify45.0ms

Calls

3 calls:

Slowest

15.0ms	(/ 1/6 (pow n 2))
15.0ms	(/ 1/6 (pow n 2))
14.0ms	(/ 1/6 (pow n 2))

prune162.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.0s	3569×	body	1280	valid
1.6s	2630×	body	640	valid
630.0ms	8000×	pre	80	true
477.0ms	1358×	body	320	valid
98.0ms	443×	body	160	valid