Details

analyze524.0ms

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

28.0ms	47×	body	1280	valid
17.0ms	42×	body	1280	invalid
16.0ms	46×	body	640	valid
8.0ms	121×	body	80	valid
8.0ms	29×	body	640	invalid
7.0ms	30×	body	320	valid
6.0ms	85×	body	80	invalid
4.0ms	19×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	10×	body	160	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4814	15
1	4814	15

prune8.0ms

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: 21.0b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite25.0ms

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:

8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
22.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify61.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5007	714

prune71.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

69 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

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-r/_binary64` `associate-l*_binary64`
3×	`add-log-exp_binary64` `sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 l)
5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 l)
14.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
27.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4970	490
1	4970	490

prune59.0ms

Filtered

37 candidates to 58 candidates (-56.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize11.0ms

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))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite17.0ms

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))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 l)
26.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
16.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5105	561

prune58.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
0.1b	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
0.1b	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
38.0b	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sinh-def_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `cube-div_binary64` `prod-exp_binary64`
2×	`cbrt-div_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `cbrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
5.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
5.0ms	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
4.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
18.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
27.0ms	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
18.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5208	963

prune89.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes356.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample3.6s

Algorithm

intervals

Results

750.0ms	1224×	body	1280	valid
611.0ms	1452×	body	1280	invalid
463.0ms	1320×	body	640	valid
351.0ms	1222×	body	640	invalid
300.0ms	4156×	body	80	valid
230.0ms	3152×	body	80	invalid
194.0ms	847×	body	320	valid
126.0ms	604×	body	320	invalid
65.0ms	453×	body	160	valid
43.0ms	306×	body	160	invalid

Details

analyze524.0ms

sample116.0ms

simplify67.0ms

prune8.0ms

localize14.0ms

rewrite25.0ms

series37.0ms

simplify61.0ms

prune71.0ms

localize11.0ms

rewrite16.0ms

series47.0ms

simplify44.0ms

prune59.0ms

localize11.0ms

rewrite17.0ms

series49.0ms

simplify43.0ms

prune58.0ms

localize14.0ms

rewrite21.0ms

series90.0ms

simplify50.0ms

prune89.0ms

regimes356.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.6s

Profiling