Details

sample76.0ms

Algorithm

intervals

Results

25.0ms	56×	body	1280	valid
13.0ms	278×	body	80	nan
10.0ms	38×	body	640	valid
10.0ms	134×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize19.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (log (+ N 1)) (log N))
3.0b	(log (+ N 1))

rewrite12.0ms

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:

8.0ms	(- (log (+ N 1)) (log N))
3.0ms	(log (+ N 1))

series124.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(- (log (+ N 1)) (log N))
29.0ms	(log (+ N 1))

simplify943.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2005
4	2005
3	1329
2	452
1	200
0	97

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))
3.0b	(log (+ N 1))
3.0b	(log (+ N 1))
3.0b	(log (+ N 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

21.0ms	(- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))
3.0ms	(log (+ N 1))
3.0ms	(log (+ N 1))
3.0ms	(log (+ N 1))

series214.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))
26.0ms	(log (+ N 1))
38.0ms	(log (+ N 1))
41.0ms	(log (+ N 1))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	2012
3	2012
2	859
1	321
0	138

prune926.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1) N)
3.0b	(log (/ (+ N 1) N))

rewrite22.0ms

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:

17.0ms	(/ (+ N 1) N)
4.0ms	(log (/ (+ N 1) N))

series141.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (+ N 1) N)
55.0ms	(log (/ (+ N 1) N))

simplify931.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2000
3	2000
2	620
1	233
0	102

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

3.0b	(log (+ N 1))
3.0b	(log (+ N 1))
3.0b	(log (+ N 1))
3.0b	(log (+ N 1))

rewrite33.0ms

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:

7.0ms	(log (+ N 1))
12.0ms	(log (+ N 1))
6.0ms	(log (+ N 1))
7.0ms	(log (+ N 1))

series515.0ms

Counts

4 → 12

Calls

4 calls:

420.0ms	(log (+ N 1))
28.0ms	(log (+ N 1))
27.0ms	(log (+ N 1))
40.0ms	(log (+ N 1))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	2003
5	2003
4	1366
3	528
2	236
1	110
0	55

prune990.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes70.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch37.0ms

Steps

Iters	Range		Point
7	186.95626557948964	5877.37978213442	4683.545058486523

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	1733×	body	1280	valid
557.0ms	1258×	body	640	valid
517.0ms	8086×	body	80	nan
388.0ms	4077×	body	80	valid
281.0ms	641×	body	320	valid
46.0ms	291×	body	160	valid