Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample317.0ms

Algorithm

intervals

Results

257.0ms	96×	body	1280	valid
35.0ms	86×	body	640	valid
13.0ms	49×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	4889	12
1	4889	12

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 59.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5006	1111

prune138.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 0.1b

Counts

89 → 4

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `flip--` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4969	1889
1	4969	1889

prune333.0ms

Filtered

90 candidates to 135 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Merged error: 0.1b

Counts

139 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

5.0b	(log (- 1.0 x))
5.0b	(log (+ 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`rem-log-exp` `log-pow` `add-cbrt-cube` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4954	313
1	4954	313

prune55.0ms

Filtered

28 candidates to 37 candidates (-32.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	36	5	41

Merged error: 0.1b

Counts

41 → 5

regimes98.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	24
1	45	24

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	3350×	body	1280	valid
756.0ms	2531×	body	640	valid
227.0ms	1230×	body	320	valid
79.0ms	665×	body	160	valid
12.0ms	224×	body	80	valid

Details

analyze5.0ms

sample317.0ms

simplify192.0ms

prune5.0ms

localize8.0ms

rewrite17.0ms

series8.0ms

simplify49.0ms

prune138.0ms

localize13.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune9.0ms

localize11.0ms

rewrite29.0ms

series25.0ms

simplify58.0ms

prune333.0ms

localize12.0ms

rewrite7.0ms

series6.0ms

simplify60.0ms

prune55.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling