Details

sample122.0ms

Algorithm

intervals

Results

32.0ms	45×	body	1280	valid
25.0ms	264×	body	80	nan
21.0ms	44×	body	640	valid
17.0ms	137×	body	80	valid
6.0ms	19×	body	320	valid
2.0ms	11×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	28
2	28
1	23
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize21.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (log (+ N 1)) (log N))
3.8b	(log (+ N 1))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

15.0ms	(- (log (+ N 1)) (log N))
7.0ms	(log (+ N 1))

series144.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- (log (+ N 1)) (log N))
58.0ms	(log (+ N 1))

simplify1.2s

Counts

49 → 49

Iterations

Iter	Nodes
4	2202
3	1177
2	631
1	369
0	97

prune417.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
3.9b	(log (/ (+ 1 N) N))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`div-exp` `rem-log-exp` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 62

Calls

2 calls:

28.0ms	(/ (+ 1 N) N)
9.0ms	(log (/ (+ 1 N) N))

series111.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (+ 1 N) N)
59.0ms	(log (/ (+ 1 N) N))

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
4	3837
3	1511
2	731
1	399
0	102

prune544.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

5.0ms	(log (+ 1 N))
3.0ms	(log (+ 1 N))
3.0ms	(log (+ 1 N))
3.0ms	(log (+ 1 N))

series142.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(log (+ 1 N))
38.0ms	(log (+ 1 N))
27.0ms	(log (+ 1 N))
37.0ms	(log (+ 1 N))

simplify1.0s

Counts

76 → 76

Iterations

Iter	Nodes
5	2270
4	976
3	566
2	330
1	203
0	55

prune968.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))
3.8b	(log (+ 1 N))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

6.0ms	(log (+ 1 N))
6.0ms	(log (+ 1 N))
6.0ms	(log (+ 1 N))
6.0ms	(log (+ 1 N))

series110.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(log (+ 1 N))
21.0ms	(log (+ 1 N))
36.0ms	(log (+ 1 N))
22.0ms	(log (+ 1 N))

simplify1.1s

Counts

76 → 76

Iterations

Iter	Nodes
5	2270
4	976
3	566
2	330
1	203
0	55

prune992.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.4b

bsearch43.0ms

Steps

Iters	Range		Point
8	639.0488776514559	7213346.136357025	7804.869598936953

simplify4.0ms

Iterations

Iter	Nodes
2	24
1	24
0	18

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	8045×	body	80	nan
1.0s	1771×	body	1280	valid
492.0ms	1224×	body	640	valid
424.0ms	4068×	body	80	valid
161.0ms	641×	body	320	valid
47.0ms	296×	body	160	valid