Details

analyze679.0ms (3%)

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample152.0ms (0.7%)

Algorithm

1×

intervals

Results

33.0ms	42×	body	1024	valid
26.0ms	57×	body	1024	invalid
15.0ms	146×	body	128	valid
15.0ms	120×	body	128	invalid
13.0ms	36×	body	512	valid
10.0ms	36×	body	512	invalid
6.0ms	30×	body	256	valid
3.0ms	15×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify288.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4815	24
1	4815	24

prune4.0ms (0%)

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: 15.8b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize22.0ms (0.1%)

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)))
6.2b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`cancel-sign-sub-inv_binary64_726` `add-cube-cbrt_binary64_795` `associate-r_binary64_700`
5×	`add-log-exp_binary64_799`
4×	`prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-l_binary64_701` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
3×	`sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `sinh-undef_binary64_953` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728`

Counts

3 → 68

Calls

3 calls:

12.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
11.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series271.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

177.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
67.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
25.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5155	1264

prune427.0ms (1.9%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	53	24	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	25	78

Merged error: 0.0b

Counts

78 → 25

Compiler

Compiled 2097 to 1058 computations (49.5% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite55.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701` `associate-*r/_binary64_702`
3×	`sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 60

Calls

4 calls:

17.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
16.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
11.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
2.0ms	(sinh.f64 l)

series603.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
218.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
64.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
42.0ms	(sinh.f64 l)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4961	1143
1	4961	1143

prune705.0ms (3.1%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	49	23	72
Fresh	10	13	23
Picked	0	1	1
Done	1	0	1
Total	60	37	97

Merged error: 0.0b

Counts

97 → 37

Compiler

Compiled 2173 to 1545 computations (28.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (.f64 2 (.f64 (.f64 2 (sinh.f64 l)) 1/2)))
0.0b	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2)))

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
25×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
6×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `associate-r/_binary64_702` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701`
3×	`associate-*l/_binary64_703` `sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 72

Calls

4 calls:

30.0ms	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2))) U)
17.0ms	(.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2)))
13.0ms	(.f64 J (.f64 2 (.f64 (.f64 2 (sinh.f64 l)) 1/2)))
2.0ms	(sinh.f64 l)

series736.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

372.0ms	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2))) U)
225.0ms	(.f64 (.f64 J (.f64 2 (.f64 (*.f64 2 (sinh.f64 l)) 1/2))) (cos.f64 (/.f64 K 2)))
97.0ms	(.f64 J (.f64 2 (.f64 (.f64 2 (sinh.f64 l)) 1/2)))
42.0ms	(sinh.f64 l)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5594	1307

prune764.0ms (3.4%)

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	5	30	35
Picked	0	1	1
Done	0	1	1
Total	80	41	121

Merged error: 0.0b

Counts

121 → 41

Compiler

Compiled 2507 to 1817 computations (27.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (*.f64 2 (sinh.f64 l)) 2)) 1/2)))
0.0b	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2)))

rewrite56.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
45×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
38×	`pow1_binary64_821`
25×	`pow-prod-down_binary64_831`
6×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `associate-r/_binary64_702` `add-sqr-sqrt_binary64_782`
4×	`cbrt-undiv_binary64_794` `associate-r_binary64_700` `associate-l_binary64_701` `div-exp_binary64_811`
3×	`associate-*l/_binary64_703`
2×	`*-commutative_binary64_691`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `sinh-def_binary64_945`

Counts

4 → 80

Calls

4 calls:

16.0ms	(.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2)))
16.0ms	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2))) U)
13.0ms	(.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (*.f64 2 (sinh.f64 l)) 2)) 1/2)))
1.0ms	(sinh.f64 l)

series565.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

310.0ms	(+.f64 (.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2))) U)
139.0ms	(.f64 (.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (.f64 2 (sinh.f64 l)) 2)) 1/2))) (cos.f64 (/.f64 K 2)))
74.0ms	(.f64 J (.f64 2 (.f64 (.f64 2 (/.f64 (*.f64 2 (sinh.f64 l)) 2)) 1/2)))
41.0ms	(sinh.f64 l)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5155	1431

prune884.0ms (3.9%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	3	35	38
Picked	0	1	1
Done	0	2	2
Total	88	45	133

Merged error: 0.0b

Counts

133 → 45

Compiler

Compiled 1720 to 1185 computations (31.1% saved)

regimes3.8s (16.9%)

Compiler: Compiled 29750 to 26349 computations (11.4% saved)

bsearch3.6s (16.3%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	26
1	22	26

end0.0ms (0%)

sample8.3s (36.9%)

Algorithm

1×

intervals

Results

929.0ms	1661×	body	1024	valid
711.0ms	2007×	body	1024	invalid
419.0ms	4374×	body	128	valid
385.0ms	1210×	body	512	valid
346.0ms	3529×	body	128	invalid
275.0ms	1019×	body	512	invalid
134.0ms	709×	body	256	valid
97.0ms	496×	body	256	invalid
35.0ms	46×	body	2048	valid

Compiler

Compiled 2922 to 2595 computations (11.2% saved)

Pareto

Details

analyze679.0ms (3%)

sample152.0ms (0.7%)

simplify288.0ms (1.3%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite36.0ms (0.2%)

series271.0ms (1.2%)

simplify84.0ms (0.4%)

prune427.0ms (1.9%)

localize26.0ms (0.1%)

rewrite55.0ms (0.2%)

series603.0ms (2.7%)

simplify72.0ms (0.3%)

prune705.0ms (3.1%)

localize15.0ms (0.1%)

rewrite71.0ms (0.3%)

series736.0ms (3.3%)

simplify87.0ms (0.4%)

prune764.0ms (3.4%)

localize16.0ms (0.1%)

rewrite56.0ms (0.2%)

series565.0ms (2.5%)

simplify81.0ms (0.4%)

prune884.0ms (3.9%)

regimes3.8s (16.9%)

bsearch3.6s (16.3%)

simplify9.0ms (0%)

end0.0ms (0%)

sample8.3s (36.9%)

Profiling