Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	64×	body	1280	valid
7.0ms	334×	body	80	nan
5.0ms	130×	body	80	valid
5.0ms	33×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4
done	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.2b	(log (+ N 1.0))
3.5b	(- (log (+ N 1.0)) (log N))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(log (+ N 1.0))
13.0ms	(- (log (+ N 1.0)) (log N))

series138.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(log (+ N 1.0))
92.0ms	(- (log (+ N 1.0)) (log N))

simplify52.0ms

Counts

47 → 47

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	212	281
1	547	264
2	1875	250
3	5001	247
done	5001	247

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.5b	(log (/ (+ N 1.0) N))

rewrite27.0ms

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` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 60

Calls

2 calls:

18.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series134.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ N 1.0) N)
82.0ms	(log (/ (+ N 1.0) N))

simplify97.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	233	373
1	773	351
2	3489	339
3	5002	339
done	5002	339

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (/ (+ N 1.0) N)))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`distribute-lft-out`
8×	`pow1`
6×	`rem-log-exp`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `div-exp` `div-inv`
1×	`pow1/3`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ N 1.0) N)))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))

series435.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (log (/ (+ N 1.0) N)))
83.0ms	(log (/ (+ N 1.0) N))
83.0ms	(log (/ (+ N 1.0) N))
82.0ms	(log (/ (+ N 1.0) N))

simplify120.0ms

Counts

105 → 105

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	333	821
1	1015	770
2	4428	701
3	5002	699
done	5002	699

prune272.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp`
4×	`log-div` `div-exp` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))

series340.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(log (/ (+ N 1.0) N))
85.0ms	(log (/ (+ N 1.0) N))
85.0ms	(log (/ (+ N 1.0) N))
86.0ms	(log (/ (+ N 1.0) N))

simplify62.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	167	836
1	455	784
2	1964	736
3	5002	736
done	5002	736

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.6b

bsearch28.0ms

Steps

Iters	Range		Point
9	1640.3133596211642	526447839.8444867	9843.297794559383

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10
done	24	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

416.0ms	1749×	body	1280	valid
195.0ms	1316×	body	640	valid
185.0ms	8104×	body	80	nan
161.0ms	4045×	body	80	valid
56.0ms	594×	body	320	valid
17.0ms	296×	body	160	valid