Details

analyze517.0ms

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

sample116.0ms

Algorithm

intervals

Results

23.0ms	40×	body	1280	valid
17.0ms	44×	body	1280	invalid
15.0ms	44×	body	640	valid
9.0ms	132×	body	80	valid
9.0ms	30×	body	640	invalid
8.0ms	117×	body	80	invalid
5.0ms	21×	body	320	valid
3.0ms	14×	body	320	invalid
3.0ms	19×	body	160	valid
2.0ms	12×	body	160	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune4.0ms

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: 20.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
0.2b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.8b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 59

Calls

3 calls:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
14.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify58.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6051	735

prune70.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0.1b

Counts

69 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0))) U)
0.1b	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `flip-+_binary64` `associate-l/_binary64`
1×	`associate-l_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

10.0ms	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0))) U)
8.0ms	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+.f64 (.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0))) U)
15.0ms	(.f64 (.f64 J (+.f64 l l)) (cos.f64 (/.f64 K 2.0)))

simplify30.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4939	463
1	4939	463

prune59.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))) U)
0.1b	(.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0))))
0.1b	(*.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `-commutative_binary64`
1×	`count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(+.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))) U)
8.0ms	(.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0))))
8.0ms	(*.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+.f64 (.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))) U)
15.0ms	(.f64 J (.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0))))
10.0ms	(*.f64 (+.f64 l l) (cos.f64 (/.f64 K 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5004	734

prune79.0ms

Filtered

51 candidates to 69 candidates (-35.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))) U)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))
0.2b	(.f64 J (.f64 2 (sinh.f64 l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh.f64 l)
9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))) U)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))
8.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sinh.f64 l)
44.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))) U)
30.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))
17.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4933	723
1	4933	723

prune65.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes379.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample3.5s

Algorithm

intervals

Results

729.0ms	1238×	body	1280	valid
594.0ms	1479×	body	1280	invalid
445.0ms	1320×	body	640	valid
341.0ms	1219×	body	640	invalid
293.0ms	4148×	body	80	valid
217.0ms	3259×	body	80	invalid
181.0ms	812×	body	320	valid
130.0ms	630×	body	320	invalid
72.0ms	482×	body	160	valid
41.0ms	305×	body	160	invalid

Details

analyze517.0ms

sample116.0ms

simplify67.0ms

prune4.0ms

localize13.0ms

rewrite26.0ms

series47.0ms

simplify58.0ms

prune70.0ms

localize9.0ms

rewrite19.0ms

series41.0ms

simplify30.0ms

prune59.0ms

localize10.0ms

rewrite27.0ms

series51.0ms

simplify45.0ms

prune79.0ms

localize11.0ms

rewrite28.0ms

series97.0ms

simplify57.0ms

prune65.0ms

regimes379.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling