Details

sample192.0ms

Algorithm

intervals

Results

95.0ms	125×	body	1280	valid
54.0ms	77×	body	640	valid
17.0ms	42×	body	320	valid
11.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify149.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

149.0ms

(- (- (* (+ 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

localize29.0ms

Local error

Found 3 expressions with local error:

6.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite70.0ms

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

36.0ms	(* (+ n 1) (log (+ n 1)))
19.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
13.0ms	(* n (log n))

series494.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

296.0ms	(* n (log n))
162.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
36.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.3s

Counts

62 → 93

Calls

62 calls:

Slowest

506.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
479.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
317.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))
314.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
303.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune657.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ 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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

(/ 1/6 (* n n))

simplify811.0ms

Counts

15 → 25

Calls

15 calls:

Slowest

330.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
286.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
48.0ms	(- (log 1/6) (log (* n n)))
46.0ms	(- (log 1/6) (+ (log n) (log n)))
24.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune279.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.2s	3654×	body	1280	valid
1.8s	2638×	body	640	valid
593.0ms	1285×	body	320	valid
284.0ms	8000×	pre	80	true
165.0ms	423×	body	160	valid