Details

sample184.0ms

Algorithm

intervals

Results

94.0ms	116×	body	1280	valid
48.0ms	86×	body	640	valid
17.0ms	40×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	14×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
11	4037
10	1949
9	1321
8	957
7	672
6	469
5	319
4	207
3	108
2	41
1	19
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))
5.6b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite87.0ms

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:

33.0ms	(* (+ n 1) (log (+ n 1)))
13.0ms	(* n (log n))
39.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series468.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (+ n 1) (log (+ n 1)))
268.0ms	(* n (log n))
141.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
3	3365
2	1094
1	405
0	162

prune718.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (- (/ 1/6 (* n n)) (log n)))
0.0b	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)
1.2b	(/ 1/6 (* n n))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

71.0ms	(- 1 (- (/ 1/6 (* n n)) (log n)))
2.5s	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)
10.0ms	(/ 1/6 (* n n))

series608.0ms

Counts

3 → 9

Calls

3 calls:

518.0ms	(- 1 (- (/ 1/6 (* n n)) (log n)))
36.0ms	(- (+ (/ 1/2 n) (- 1 (- (/ 1/6 (* n n)) (log n)))) 1)
53.0ms	(/ 1/6 (* n n))

simplify3.8s

Counts

79 → 79

Iterations

Iter	Nodes
3	3719
2	980
1	325
0	135

prune748.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

1.2b	(/ -1/6 (* n n))

rewrite10.0ms

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:

10.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify3.3s

Counts

25 → 25

Iterations

Iter	Nodes
4	4603
3	993
2	285
1	104
0	44

prune217.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.8s	3598×	body	1280	valid
1.9s	2734×	body	640	valid
447.0ms	1269×	body	320	valid
209.0ms	8000×	pre	80	true
85.0ms	399×	body	160	valid