Details

sample159.0ms

Algorithm

intervals

Results

68.0ms	101×	body	1280	valid
51.0ms	92×	body	640	valid
16.0ms	46×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid

simplify175.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

174.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize20.0ms

Local error

Found 3 expressions with local error:

4.6b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite79.0ms

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

42.0ms	(* (+ n 1) (log (+ n 1)))
21.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
13.0ms	(* n (log n))

series482.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

290.0ms	(* n (log n))
144.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
48.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.8s

Counts

62 → 93

Calls

62 calls:

Slowest

551.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
489.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
403.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
374.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
365.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))

prune734.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

1.1b	(/ -1/6 (* n n))

rewrite6.0ms

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

6.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

29.0ms

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

simplify769.0ms

Counts

15 → 25

Calls

15 calls:

Slowest

330.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n)))
285.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) (* n n)) (* n n)))
34.0ms	(- (log -1/6) (log (* n n)))
25.0ms	(- (log -1/6) (+ (log n) (log n)))
19.0ms	(/ -1/6 (pow n 2))

prune221.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.1s	3602×	body	1280	valid
1.9s	2650×	body	640	valid
1.1s	1327×	body	320	valid
241.0ms	8000×	pre	80	true
99.0ms	421×	body	160	valid