Details

sample223.0ms

Algorithm

intervals

Results

128.0ms	118×	body	1280	valid
53.0ms	86×	body	640	valid
20.0ms	45×	body	320	valid
9.0ms	256×	pre	80	true
2.0ms	7×	body	160	valid

simplify5.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize44.0ms

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)))

rewrite94.0ms

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:

14.0ms	(* n (log n))
41.0ms	(* (+ n 1) (log (+ n 1)))
37.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series497.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(* n (log n))
41.0ms	(* (+ n 1) (log (+ n 1)))
191.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
3	3411
2	1081
1	405
0	162

prune306.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-log-exp`
18×	`distribute-lft-out`
12×	`sum-log`
9×	`add-sqr-sqrt`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-cube-cbrt` `distribute-lft-out--`
4×	`diff-log`
3×	`times-frac` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `log-pow` `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 → 66

Calls

3 calls:

329.0ms	(+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1)
1.6s	(- (+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1) 1)
10.0ms	(/ -1/6 (* n n))

series164.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1)
57.0ms	(- (+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1) 1)
51.0ms	(/ -1/6 (* n n))

simplify2.6s

Counts

75 → 75

Iterations

Iter	Nodes
3	3381
2	938
1	331
0	129

prune223.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify2.6s

Counts

25 → 25

Iterations

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

prune70.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.5s	3609×	body	1280	valid
1.5s	2703×	body	640	valid
523.0ms	1265×	body	320	valid
221.0ms	8000×	pre	80	true
111.0ms	423×	body	160	valid