Details

sample172.0ms

Algorithm

intervals

Results

80.0ms	115×	body	1280	valid
59.0ms	89×	body	640	valid
13.0ms	37×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	15×	body	160	valid

simplify220.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

219.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize20.0ms

Local error

Found 3 expressions with local error:

5.9b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r` `associate--l+`
7×	`add-cbrt-cube` `associate-l` `add-exp-log`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 84

Calls

3 calls:

Slowest

28.0ms	(* (+ n 1) (log (+ n 1)))
24.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
7.0ms	(* n (log n))

series475.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

269.0ms	(* n (log n))
154.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
52.0ms	(* (+ n 1) (log (+ n 1)))

simplify9.4s

Counts

109 → 93

Calls

109 calls:

Slowest

583.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
572.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
435.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
399.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))
334.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune671.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ -1/6 (* n n))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

Slowest

12.0ms

(/ -1/6 (* n n))

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

54.0ms

(/ -1/6 (* n n))

simplify1.2s

Counts

29 → 25

Calls

29 calls:

Slowest

340.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n)))
282.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) (* n n)) (* n n)))
169.0ms	(* (* (/ -1/6 (* n n)) (/ -1/6 (* n n))) (/ -1/6 (* n n)))
51.0ms	(- (log -1/6) (log (* n n)))
35.0ms	(log (/ -1/6 (* n n)))

prune200.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.8s	3604×	body	1280	valid
1.4s	2628×	body	640	valid
576.0ms	1327×	body	320	valid
407.0ms	8000×	pre	80	true
104.0ms	441×	body	160	valid