Details

sample178.0ms

Algorithm

intervals

Results

104.0ms	118×	body	1280	valid
42.0ms	86×	body	640	valid
14.0ms	45×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	7×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
8	2004
7	1748
6	878
5	482
4	239
3	109
2	43
1	21
0	9

prune8.0ms

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)))
5.4b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite53.0ms

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:

7.0ms	(* n (log n))
28.0ms	(* (+ n 1) (log (+ n 1)))
17.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series464.0ms

Counts

3 → 9

Calls

3 calls:

249.0ms	(* n (log n))
51.0ms	(* (+ n 1) (log (+ n 1)))
164.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	2006
3	2006
2	1235
1	423
0	162

prune733.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite846.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

102.0ms	(- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n)))
732.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
10.0ms	(/ 1/6 (* n n))

series142.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n)))
32.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
51.0ms	(/ 1/6 (* n n))

simplify1.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	2005
2	2005
1	525
0	173

prune776.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(/ 1/6 (* n n))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ 1/6 (* n n))

simplify852.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	2012
4	2012
3	1005
2	291
1	106
0	44

prune201.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.3s	3609×	body	1280	valid
1.8s	2703×	body	640	valid
539.0ms	1265×	body	320	valid
257.0ms	8000×	pre	80	true
96.0ms	423×	body	160	valid