Details

analyze479.0ms (4.9%)

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)

sample93.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	45×	body	1024	valid
16.0ms	62×	body	1024	invalid
12.0ms	132×	body	128	invalid
10.0ms	47×	body	512	valid
9.0ms	140×	body	128	valid
5.0ms	25×	body	512	invalid
3.0ms	24×	body	256	valid
2.0ms	16×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify188.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4815	24
1	4815	24

prune3.0ms (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: 17.9b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize18.0ms (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)))
5.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite31.0ms (0.3%)

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:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series451.0ms (4.6%)

Counts

3 → 18

Calls

3 calls:

322.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
115.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4905	1463
1	4905	1463

prune80.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

Compiler

Compiled 1703 to 720 computations (57.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.3%)

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:

9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

series1.1s (11.5%)

Counts

4 → 30

Calls

4 calls:

447.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
387.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
258.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
38.0ms	(sinh.f64 l)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5706	1517

prune93.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0b

Counts

92 → 4

Compiler

Compiled 1585 to 1034 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.3%)

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`
3×	`associate-*r/_binary64_702` `sinh-def_binary64_945`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 60

Calls

4 calls:

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

series946.0ms (9.6%)

Counts

4 → 30

Calls

4 calls:

441.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
296.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
179.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
30.0ms	(sinh.f64 l)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5296	1626

prune83.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0b

Counts

94 → 4

Compiler

Compiled 1575 to 1038 computations (34.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
14.0b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
14.0b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
14.0b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64_702`
11×	`pow1_binary64_821`
10×	`add-sqr-sqrt_binary64_782`
9×	`pow1/3_binary64_842`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`cbrt-div_binary64_792` `cbrt-prod_binary64_791` `sinh-def_binary64_945`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `prod-exp_binary64_809` `pow-plus_binary64_823` `frac-times_binary64_770` `cbrt-unprod_binary64_793` `-commutative_binary64_691`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

series2.3s (23.1%)

Counts

4 → 24

Calls

4 calls:

782.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
508.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
497.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
491.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5149	1370

prune139.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

Compiler

Compiled 2851 to 1912 computations (32.9% saved)

regimes271.0ms (2.7%)

Compiler: Compiled 2706 to 2466 computations (8.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.2s (32.1%)

Algorithm

1×

intervals

Results

690.0ms	1620×	body	1024	valid
502.0ms	1898×	body	1024	invalid
304.0ms	4384×	body	128	valid
276.0ms	1228×	body	512	valid
243.0ms	3549×	body	128	invalid
187.0ms	999×	body	512	invalid
99.0ms	721×	body	256	valid
62.0ms	473×	body	256	invalid
28.0ms	47×	body	2048	valid

Compiler

Compiled 289 to 264 computations (8.7% saved)

Details

analyze479.0ms (4.9%)

sample93.0ms (0.9%)

simplify188.0ms (1.9%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite31.0ms (0.3%)

series451.0ms (4.6%)

simplify70.0ms (0.7%)

prune80.0ms (0.8%)

localize10.0ms (0.1%)

rewrite29.0ms (0.3%)

series1.1s (11.5%)

simplify56.0ms (0.6%)

prune93.0ms (0.9%)

localize11.0ms (0.1%)

rewrite28.0ms (0.3%)

series946.0ms (9.6%)

simplify59.0ms (0.6%)

prune83.0ms (0.8%)

localize15.0ms (0.2%)

rewrite28.0ms (0.3%)

series2.3s (23.1%)

simplify110.0ms (1.1%)

prune139.0ms (1.4%)

regimes271.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (32.1%)

Profiling