Details

sample85.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
15.0ms	47×	body	640	valid
13.0ms	262×	body	80	nan
11.0ms	140×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize8.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (log (+ N 1.0)) (log N))
4.8b	(log (+ N 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`pow1` `add-sqr-sqrt` `prod-diff`
14×	`add-cube-cbrt` `log-pow`
11×	`log-prod`
4×	`log-div` `fma-neg` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 65

Calls

2 calls:

29.0ms	(- (log (+ N 1.0)) (log N))
5.0ms	(log (+ N 1.0))

series216.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(- (log (+ N 1.0)) (log N))
71.0ms	(log (+ N 1.0))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	127	1052
1	288	863
2	1086	705
done	5001	614

prune221.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

1.6b	(log (/ (+ N 1.0) N))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
15×	`*-un-lft-identity`
12×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log`
3×	`distribute-lft-out`
2×	`pow1` `rem-log-exp`
1×	`expm1-log1p-u` `log-div` `div-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(log (/ (+ N 1.0) N))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(log (/ (+ N 1.0) N))

simplify1.2s

Counts

32 → 32

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	86	395
1	174	373
2	467	346
3	1942	333
done	5001	331

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
21×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate--l+`
7×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`log-div` `associate--r+` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

17.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
5.0ms	(log (+ N 1.0))
5.0ms	(log (+ N 1.0))
16.0ms	(log (+ N 1.0))

series369.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
56.0ms	(log (+ N 1.0))
77.0ms	(log (+ N 1.0))
61.0ms	(log (+ N 1.0))

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	1317
1	430	1220
2	1714	1094
done	5002	1080

prune443.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
4×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

9.0ms	(log (+ N 1.0))
11.0ms	(log (+ N 1.0))
9.0ms	(log (+ N 1.0))
9.0ms	(log (+ N 1.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (+ N 1.0))
61.0ms	(log (+ N 1.0))
81.0ms	(log (+ N 1.0))
80.0ms	(log (+ N 1.0))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	752
1	134	704
2	436	636
3	1709	632
done	5001	604

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes55.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.2b

bsearch34.0ms

Steps

Iters	Range		Point
9	388.37859194422595	403275480.5297131	11278.661948217234

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	21	24
done	21	24

end0.0ms

sample3.1s

Algorithm

intervals

Results

924.0ms	1242×	body	640	valid
812.0ms	1777×	body	1280	valid
480.0ms	8084×	body	80	nan
289.0ms	4097×	body	80	valid
104.0ms	591×	body	320	valid
38.0ms	293×	body	160	valid