Details

analyze497.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample102.0ms

Algorithm

intervals

Results

23.0ms	39×	body	1280	valid
14.0ms	45×	body	640	valid
13.0ms	34×	body	1280	invalid
10.0ms	39×	body	640	invalid
9.0ms	141×	body	80	valid
6.0ms	97×	body	80	invalid
4.0ms	19×	body	320	valid
2.0ms	10×	body	320	invalid
2.0ms	12×	body	160	valid
2.0ms	11×	body	160	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune7.0ms

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: 15.7b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
4.9b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sinh-undef_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series30.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4905	467
1	4905	467

prune42.0ms

Filtered

30 candidates to 40 candidates (-33.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	1	41

Merged error: 0.1b

Counts

41 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `sinh-def_binary64` `associate-*r/_binary64`
1×	`associate-l_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

1.0ms	(sinh.f64 l)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(sinh.f64 l)
31.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4952	344
1	4952	344

prune50.0ms

Filtered

24 candidates to 36 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
3×	`add-log-exp_binary64` `sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 l)
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 l)
31.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0))))
18.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5112	561

prune63.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))))
14.8b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
14.8b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
14.8b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-*r/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
7×	`cbrt-div_binary64` `sinh-def_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))))
70.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
70.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))
71.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	1194

prune117.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Merged error: 0b

Counts

81 → 6

regimes369.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

676.0ms	1166×	body	1280	valid
591.0ms	1530×	body	1280	invalid
472.0ms	1389×	body	640	valid
329.0ms	1233×	body	640	invalid
281.0ms	4145×	body	80	valid
220.0ms	3355×	body	80	invalid
187.0ms	858×	body	320	valid
126.0ms	619×	body	320	invalid
65.0ms	442×	body	160	valid
43.0ms	328×	body	160	invalid

Details

analyze497.0ms

sample102.0ms

simplify67.0ms

prune7.0ms

localize12.0ms

rewrite16.0ms

series30.0ms

simplify68.0ms

prune42.0ms

localize11.0ms

rewrite10.0ms

series40.0ms

simplify53.0ms

prune50.0ms

localize10.0ms

rewrite16.0ms

series57.0ms

simplify42.0ms

prune63.0ms

localize15.0ms

rewrite28.0ms

series319.0ms

simplify53.0ms

prune117.0ms

regimes369.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.4s

Profiling