Details

sample99.0ms

Algorithm

intervals

Results

55.0ms	128×	body	1280	valid
21.0ms	77×	body	640	valid
8.0ms	40×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3602
7	1748
6	878
5	482
4	239
3	109
2	43
1	21
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1) (log (+ n 1)))
5.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite97.0ms

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:

16.0ms	(* n (log n))
36.0ms	(* (+ n 1) (log (+ n 1)))
40.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series438.0ms

Counts

3 → 9

Calls

3 calls:

240.0ms	(* n (log n))
49.0ms	(* (+ n 1) (log (+ n 1)))
150.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1235
1	423
0	162

prune323.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n))
0.0b	(- (+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n)) 1)
1.4b	(/ -1/6 (* n n))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

361.0ms	(+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n))
2.0s	(- (+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n)) 1)
8.0ms	(/ -1/6 (* n n))

series112.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n))
32.0ms	(- (+ (+ (/ 1/2 n) (+ 1 (/ -1/6 (* n n)))) (log n)) 1)
33.0ms	(/ -1/6 (* n n))

simplify3.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5016
3	4896
2	1170
1	367
0	140

prune282.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 1 expressions with local error:

1.4b	(/ -1/6 (* n n))

rewrite16.0ms

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:

15.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify3.9s

Counts

25 → 25

Iterations

Iter	Nodes
done	5171
4	4593
3	1005
2	291
1	106
0	44

prune98.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.1s	3635×	body	1280	valid
1.4s	2641×	body	640	valid
356.0ms	1333×	body	320	valid
219.0ms	8000×	pre	80	true
55.0ms	391×	body	160	valid