Details

analyze678.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

sample211.0ms

Algorithm

intervals

Results

81.0ms	52×	body	5120	exit
45.0ms	89×	body	1280	valid
33.0ms	101×	body	640	valid
15.0ms	37×	body	1280	nan
8.0ms	29×	body	640	nan
7.0ms	34×	body	320	valid
3.0ms	15×	body	320	nan
3.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid
1.0ms	6×	body	160	nan
1.0ms	9×	body	80	nan

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4797	9
1	4797	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 60.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (cos x))
4.0b	(fmod (exp x) (sqrt (cos x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 20

Calls

2 calls:

2.0ms	(sqrt (cos x))
1.0ms	(fmod (exp x) (sqrt (cos x)))

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(sqrt (cos x))
2.0ms	(fmod (exp x) (sqrt (cos x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4713	150
1	4713	150

prune31.0ms

Filtered

18 candidates to 26 candidates (-44.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Merged error: 60.9b

Counts

27 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos x))
0.1b	(exp (log (fmod (exp x) (sqrt (cos x)))))
2.3b	(log (fmod (exp x) (sqrt (cos x))))
4.0b	(fmod (exp x) (sqrt (cos x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`exp-sum` `sqrt-prod`
2×	`log-pow`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `rem-exp-log`

Counts

4 → 47

Calls

4 calls:

2.0ms	(sqrt (cos x))
2.0ms	(exp (log (fmod (exp x) (sqrt (cos x)))))
1.0ms	(log (fmod (exp x) (sqrt (cos x))))
1.0ms	(fmod (exp x) (sqrt (cos x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (cos x))
1.0ms	(exp (log (fmod (exp x) (sqrt (cos x)))))
15.0ms	(log (fmod (exp x) (sqrt (cos x))))
1.0ms	(fmod (exp x) (sqrt (cos x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4694	415
1	4694	415

prune63.0ms

Filtered

37 candidates to 59 candidates (-59.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 60.9b

Counts

61 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (log (log (exp (fmod (exp x) (sqrt (cos x)))))))
1.8b	(log (exp (fmod (exp x) (sqrt (cos x)))))
2.3b	(log (log (exp (fmod (exp x) (sqrt (cos x))))))
4.0b	(fmod (exp x) (sqrt (cos x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
14×	`log-pow`
13×	`exp-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
7×	`exp-sum`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp`
1×	`rem-exp-log`

Counts

4 → 57

Calls

4 calls:

3.0ms	(exp (log (log (exp (fmod (exp x) (sqrt (cos x)))))))
2.0ms	(log (exp (fmod (exp x) (sqrt (cos x)))))
2.0ms	(log (log (exp (fmod (exp x) (sqrt (cos x))))))
1.0ms	(fmod (exp x) (sqrt (cos x)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(exp (log (log (exp (fmod (exp x) (sqrt (cos x)))))))
1.0ms	(log (exp (fmod (exp x) (sqrt (cos x)))))
15.0ms	(log (log (exp (fmod (exp x) (sqrt (cos x))))))
1.0ms	(fmod (exp x) (sqrt (cos x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4993	576
1	4993	576

prune63.0ms

Filtered

44 candidates to 69 candidates (-56.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	2	71

Merged error: 60.9b

Counts

71 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

2.3b	(log (fmod (exp x) (sqrt (cos x))))
4.0b	(fmod (exp x) (sqrt (cos x)))
4.0b	(fmod (exp x) (sqrt (cos x)))
4.0b	(fmod (exp x) (sqrt (cos x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

Calls

4 calls:

1.0ms	(log (fmod (exp x) (sqrt (cos x))))
1.0ms	(fmod (exp x) (sqrt (cos x)))
1.0ms	(fmod (exp x) (sqrt (cos x)))
1.0ms	(fmod (exp x) (sqrt (cos x)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(log (fmod (exp x) (sqrt (cos x))))
1.0ms	(fmod (exp x) (sqrt (cos x)))
1.0ms	(fmod (exp x) (sqrt (cos x)))
1.0ms	(fmod (exp x) (sqrt (cos x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4820	363
1	4820	363

prune48.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 60.9b

Counts

47 → 2

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 59.8b against oracle of 59.7b and baseline of 59.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	10	13

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.2s	1486×	body	5120	exit
1.6s	3170×	body	1280	valid
832.0ms	2507×	body	640	valid
462.0ms	1199×	body	1280	nan
275.0ms	1242×	body	320	valid
260.0ms	971×	body	640	nan
98.0ms	478×	body	320	nan
89.0ms	620×	body	160	valid
36.0ms	461×	body	80	valid
35.0ms	246×	body	160	nan
18.0ms	236×	body	80	nan

Details

analyze678.0ms

sample211.0ms

simplify79.0ms

prune6.0ms

localize8.0ms

rewrite3.0ms

series6.0ms

simplify62.0ms

prune31.0ms

localize12.0ms

rewrite7.0ms

series21.0ms

simplify72.0ms

prune63.0ms

localize12.0ms

rewrite9.0ms

series19.0ms

simplify54.0ms

prune63.0ms

localize14.0ms

rewrite4.0ms

series19.0ms

simplify55.0ms

prune48.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.1s

Profiling