Details

sample154.0ms

Algorithm

intervals

Results

82.0ms	122×	body	1280	valid
40.0ms	87×	body	640	valid
11.0ms	39×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1472
4	496
3	150
2	46
1	21
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1) (log (+ n 1)))
4.3b	(- (* (+ 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:

13.0ms	(* n (log n))
42.0ms	(* (+ n 1) (log (+ n 1)))
37.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series456.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(* n (log n))
67.0ms	(* (+ n 1) (log (+ n 1)))
134.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1993
1	437
0	162

prune446.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

604.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
6.0ms	(/ 1/6 (* n n))

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
40.0ms	(/ 1/6 (* n n))

simplify1.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1382
1	299
0	113

prune202.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

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:

7.0ms

(/ 1/6 (* n n))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ 1/6 (* n n))

simplify638.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	542
1	113
0	44

prune107.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.3s	3672×	body	1280	valid
1.6s	2619×	body	640	valid
548.0ms	1292×	body	320	valid
214.0ms	8000×	pre	80	true
87.0ms	417×	body	160	valid