Details

analyze516.0ms (8.8%)

Algorithm

1×

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

sample121.0ms (2.1%)

Algorithm

1×

intervals

Results

23.0ms	39×	body	1280	valid
21.0ms	50×	body	1280	invalid
15.0ms	40×	body	640	valid
12.0ms	141×	body	80	valid
11.0ms	39×	body	640	invalid
6.0ms	94×	body	80	invalid
5.0ms	22×	body	320	valid
3.0ms	15×	body	320	invalid
2.0ms	15×	body	160	invalid
2.0ms	14×	body	160	valid

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune8.0ms (0.1%)

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: 16.9b

Counts

2 → 1

localize13.0ms (0.2%)

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 2.0)))
4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite31.0ms (0.5%)

Algorithm

1×	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:

15.0ms	(.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))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series44.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2.0)))
12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5019	714

prune89.0ms (1.5%)

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

localize12.0ms (0.2%)

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

rewrite28.0ms (0.5%)

Algorithm

1×	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:

10.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))) U)
9.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

series115.0ms (2%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0))) U)
32.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2.0)))
19.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
9.0ms	(sinh.f64 l)

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5873	735

prune108.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.5%)

Algorithm

1×	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-l_binary64`
3×	`sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

10.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))) U)
9.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0))))
7.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))
1.0ms	(sinh.f64 l)

series121.0ms (2%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))) U)
32.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0))))
21.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2.0)))
9.0ms	(sinh.f64 l)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5323	806

prune100.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2.0))) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
0.2b	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2.0))) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))
2.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))

series87.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2.0))) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))
21.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
19.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))
18.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2.0)))

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4915	681
1	4915	681

prune141.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes365.0ms (6.2%)

Accuracy

Total 0.0b remaining (43.9%)

Threshold costs 0.0b (43.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms (0%)

sample3.6s (61.8%)

Algorithm

1×

intervals

Results

750.0ms	1201×	body	1280	valid
603.0ms	1444×	body	1280	invalid
473.0ms	1342×	body	640	valid
347.0ms	1200×	body	640	invalid
304.0ms	4187×	body	80	valid
251.0ms	3272×	body	80	invalid
193.0ms	814×	body	320	valid
120.0ms	589×	body	320	invalid
70.0ms	456×	body	160	valid
44.0ms	312×	body	160	invalid

Details

analyze516.0ms (8.8%)

sample121.0ms (2.1%)

simplify76.0ms (1.3%)

prune8.0ms (0.1%)

localize13.0ms (0.2%)

rewrite31.0ms (0.5%)

series44.0ms (0.8%)

simplify74.0ms (1.3%)

prune89.0ms (1.5%)

localize12.0ms (0.2%)

rewrite28.0ms (0.5%)

series115.0ms (2%)

simplify43.0ms (0.7%)

prune108.0ms (1.8%)

localize14.0ms (0.2%)

rewrite29.0ms (0.5%)

series121.0ms (2%)

simplify44.0ms (0.7%)

prune100.0ms (1.7%)

localize15.0ms (0.3%)

rewrite13.0ms (0.2%)

series87.0ms (1.5%)

simplify43.0ms (0.7%)

prune141.0ms (2.4%)

regimes365.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (61.8%)

Profiling