Details

sample113.0ms

Algorithm

intervals

Results

65.0ms	123×	body	1280	valid
22.0ms	73×	body	640	valid
9.0ms	47×	body	320	valid
3.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
13	4900
12	3723
11	3170
10	2700
9	1772
8	1205
7	919
6	716
5	496
4	240
3	112
2	41
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
5.8b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite59.0ms

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`
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 → 81

Calls

3 calls:

25.0ms	(* (+ n 1.0) (log (+ n 1.0)))
9.0ms	(* n (log n))
23.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series594.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (+ n 1.0) (log (+ n 1.0)))
259.0ms	(* n (log n))
244.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1315
1	455
0	171

prune511.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)
0.3b	(/ 0.16666666666666669 (* n n))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

2.6s	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)
12.0ms	(/ 0.16666666666666669 (* n n))

series88.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)
44.0ms	(/ 0.16666666666666669 (* n n))

simplify2.5s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	4705
2	853
1	267
0	112

prune253.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 0.16666666666666669 (* 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` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/ 0.16666666666666669 (* n n))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ 0.16666666666666669 (* n n))

simplify1.3s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
3	1448
2	324
1	102
0	43

prune86.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.1s	3658×	body	1280	valid
875.0ms	2578×	body	640	valid
303.0ms	1318×	body	320	valid
170.0ms	8000×	pre	80	true
54.0ms	446×	body	160	valid