Details

sample152.0ms

Algorithm

intervals

Results

85.0ms	122×	body	1280	valid
34.0ms	79×	body	640	valid
14.0ms	46×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify943.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize19.0ms

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))

rewrite45.0ms

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

series435.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

268.0ms	(* n (log n))
118.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
50.0ms	(* (+ n 1) (log (+ n 1)))

simplify372.0ms

Counts: 109 → 93

prune728.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 2 expressions with local error:

1.1b	(/ 1/6 (* n n))
0.0b	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

Slowest

2.2s	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)
12.0ms	(/ 1/6 (* n n))

series73.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(/ 1/6 (* n n))
35.0ms	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)

simplify332.0ms

Counts: 63 → 54

prune477.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

30.0ms

(/ 1/6 (* n n))

simplify471.0ms

Counts: 29 → 25

prune210.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.2s	3676×	body	1280	valid
1.2s	2649×	body	640	valid
471.0ms	1293×	body	320	valid
267.0ms	8000×	pre	80	true
112.0ms	382×	body	160	valid