Details

sample191.0ms

Algorithm

intervals

Results

111.0ms	123×	body	1280	valid
44.0ms	85×	body	640	valid
13.0ms	36×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify136.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

136.0ms

(- (- (* (+ 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

localize36.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b	(* n (log n))
0.2b	(* (+ n 1) (log (+ n 1)))

rewrite42.0ms

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

18.0ms	(* (+ n 1) (log (+ n 1)))
17.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
6.0ms	(* n (log n))

series583.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

327.0ms	(* n (log n))
191.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
64.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.3s

Counts

62 → 93

Calls

62 calls:

Slowest

476.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
414.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
388.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
326.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))
316.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune703.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ 1/6 (* n n))
0.0b	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-log-exp`
11×	`distribute-lft-out--`
8×	`add-sqr-sqrt` `diff-log`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-cube-cbrt`
3×	`pow1` `times-frac` `associate--l+` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `sum-log` `sub-neg` `div-exp` `insert-posit16` `difference-of-squares`
1×	`associate--l-` `clear-num` `associate-+r-` `associate-/r*` `frac-2neg` `flip3--` `difference-of-sqr-1` `prod-exp` `log-pow` `cbrt-unprod` `div-inv` `flip--` `associate--r-`

Counts

2 → 50

Calls

2 calls:

Slowest

2.0s	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
12.0ms	(/ 1/6 (* n n))

series76.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

47.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
29.0ms	(/ 1/6 (* n n))

simplify6.7s

Counts

33 → 56

Calls

33 calls:

Slowest

601.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
545.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
527.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
519.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
485.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

prune443.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.7b	(/ 1/6 (* n n))

rewrite8.0ms

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

8.0ms

(/ 1/6 (* n n))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(/ 1/6 (* n n))

simplify727.0ms

Counts

15 → 25

Calls

15 calls:

Slowest

313.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
268.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
44.0ms	(- (log 1/6) (log (* n n)))
24.0ms	(- (log 1/6) (+ (log n) (log n)))
15.0ms	(/ 1/6 (pow n 2))

prune193.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.9s	3633×	body	1280	valid
1.6s	2673×	body	640	valid
455.0ms	1267×	body	320	valid
268.0ms	8000×	pre	80	true
122.0ms	427×	body	160	valid