Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	45×	body	1280	valid
8.0ms	280×	body	80	nan
8.0ms	47×	body	640	valid
7.0ms	140×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	7×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 27.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

2.2b	(- (log (+ N 1.0)) (log N))
3.2b	(log (+ N 1.0))

rewrite11.0ms

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:

7.0ms	(- (log (+ N 1.0)) (log N))
3.0ms	(log (+ N 1.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- (log (+ N 1.0)) (log N))
41.0ms	(log (+ N 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	212	281
1	547	264
2	1874	250
3	5001	247

prune100.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.3b	(log (/ (+ N 1.0) N))

rewrite12.0ms

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:

5.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

series132.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (+ N 1.0) N)
81.0ms	(log (/ (+ N 1.0) N))

simplify104.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (19.0ms)

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

prune85.0ms

Filtered

66 candidates to 44 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 N))
2.2b	(+ (log (+ N 1.0)) (log (/ 1 N)))
3.2b	(log (+ N 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod`
27×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
13×	`associate-+r+`
10×	`pow1`
9×	`add-exp-log`
8×	`log-pow`
6×	`log-div` `distribute-lft-out`
5×	`rem-log-exp`
4×	`associate-+l+`
3×	`flip3-+` `log-rec` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`associate-+l-` `div-exp` `div-inv`
1×	`+-commutative` `associate-+r-` `rec-exp` `pow-flip` `1-exp` `unsub-neg` `sum-log` `inv-pow`

Counts

3 → 81

Calls

3 calls:

3.0ms	(log (/ 1 N))
9.0ms	(+ (log (+ N 1.0)) (log (/ 1 N)))
3.0ms	(log (+ N 1.0))

series238.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(log (/ 1 N))
78.0ms	(+ (log (+ N 1.0)) (log (/ 1 N)))
44.0ms	(log (+ N 1.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	324	495
1	906	452
2	3587	406
3	5001	387

prune133.0ms

Filtered

90 candidates to 59 candidates (65.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1 N))
0.5b	(cbrt (/ 1 N))
3.2b	(log (+ N 1.0))
21.2b	(+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
32×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
20×	`log-prod`
16×	`associate-+r+`
6×	`pow1` `add-log-exp`
5×	`add-exp-log` `log-div`
4×	`add-cbrt-cube`
3×	`associate-+r-` `cbrt-div` `flip3-+` `sum-log` `flip-+` `div-inv` `distribute-lft-out`
2×	`associate-+l-` `pow1/3` `log-pow`
1×	`+-commutative` `associate-+l+` `rem-log-exp`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (/ 1 N))
2.0ms	(cbrt (/ 1 N))
3.0ms	(log (+ N 1.0))
11.0ms	(+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (/ 1 N))
167.0ms	(cbrt (/ 1 N))
44.0ms	(log (+ N 1.0))
88.0ms	(+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))

simplify41.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	409	879
1	1266	801
2	5001	731

prune258.0ms

Filtered

105 candidates to 82 candidates (78.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

Details

sample48.0ms

simplify5.0ms

prune2.0ms

localize9.0ms

rewrite11.0ms

series132.0ms

simplify52.0ms

prune100.0ms

localize5.0ms

rewrite12.0ms

series132.0ms

simplify104.0ms

prune85.0ms

localize8.0ms

rewrite17.0ms

series238.0ms

simplify95.0ms

prune133.0ms

localize12.0ms

rewrite22.0ms

series469.0ms

simplify41.0ms

prune258.0ms

regimes27.0ms

bsearch2.0ms

Profiling