Details

analyze676.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5058	168
0	4	4
1	4	4

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)

sample102.0ms (1%)

Algorithm

1×

intervals

Results

18.0ms	43×	body	1024	valid
17.0ms	65×	body	1024	invalid
14.0ms	156×	body	128	valid
8.0ms	38×	body	512	valid
8.0ms	41×	body	512	invalid
7.0ms	108×	body	128	invalid
3.0ms	21×	body	256	invalid
3.0ms	19×	body	256	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

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

Error

14.0b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (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)))
6.1b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite108.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760`
10×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-log-exp_binary64_799`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r/_binary64_702` `associate-l*_binary64_701` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`
2×	`sinh-undef_binary64_953` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728`

Counts

3 → 68

Calls

3 calls:

9.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1608 to 602 computations (62.6% saved)

series663.0ms (6.7%)

Error

0.0b

Counts

3 → 29

Calls

3 calls:

436.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
145.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
42.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1553 to 1163 computations (25.1% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5332	1781

prune112.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Error

0.0b

Counts

98 → 2

Compiler

Compiled 1966 to 881 computations (55.2% saved)

localize13.0ms (0.1%)

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)))

rewrite74.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
5×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`associate-r/_binary64_702` `associate-l_binary64_701` `associate-r*_binary64_700`
3×	`add-log-exp_binary64_799` `sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703`

Counts

3 → 49

Calls

3 calls:

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

Compiler

Compiled 976 to 620 computations (36.5% saved)

series883.0ms (8.9%)

Error

0.0b

Counts

3 → 29

Calls

3 calls:

567.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
217.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
65.0ms	(sinh.f64 l)

Compiler

Compiled 1577 to 1185 computations (24.9% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	1205
1	4955	1205

prune85.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	78	2	80

Error

0.0b

Counts

80 → 2

Compiler

Compiled 1357 to 898 computations (33.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite88.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
9×	`add-sqr-sqrt_binary64_782` `associate-l_binary64_701`
7×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
5×	`associate-r_binary64_700`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728`

Counts

3 → 57

Calls

3 calls:

8.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
5.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
5.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1089 to 757 computations (30.5% saved)

series724.0ms (7.3%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

294.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
274.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
128.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1260 to 1013 computations (19.6% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5007	1290

prune89.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Error

0.0b

Counts

92 → 3

Compiler

Compiled 1410 to 928 computations (34.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))))
0.5b	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
0.5b	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
0.5b	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))

rewrite137.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))))
3.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
3.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
3.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))

Compiler

Compiled 2068 to 1536 computations (25.7% saved)

series1.7s (16.7%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

498.0ms	(.f64 (cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2)))) (cbrt.f64 (.f64 J (cos.f64 (*.f64 K 1/2)))))
378.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
366.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))
358.0ms	(cbrt.f64 (.f64 J (cos.f64 (.f64 K 1/2))))

Compiler

Compiled 2876 to 2413 computations (16.1% saved)

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4866	1097
1	4866	1097

prune155.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Error

0.0b

Counts

92 → 3

Compiler

Compiled 2630 to 1927 computations (26.7% saved)

regimes359.0ms (3.6%)

Accuracy

Total 0.0b remaining (35.4%)

Threshold costs 0.0b (35.4%)

Compiler

Compiled 3283 to 3076 computations (6.3% 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%)

sample3.5s (35.4%)

Algorithm

1×

intervals

Results

679.0ms	1628×	body	1024	valid
571.0ms	2039×	body	1024	invalid
314.0ms	4505×	body	128	valid
263.0ms	1126×	body	512	valid
245.0ms	3426×	body	128	invalid
197.0ms	1011×	body	512	invalid
106.0ms	678×	body	256	valid
74.0ms	502×	body	256	invalid
38.0ms	63×	body	2048	valid

Compiler

Compiled 343 to 321 computations (6.4% saved)

Details

analyze676.0ms (6.8%)

sample102.0ms (1%)

simplify101.0ms (1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite108.0ms (1.1%)

series663.0ms (6.7%)

simplify80.0ms (0.8%)

prune112.0ms (1.1%)

localize13.0ms (0.1%)

rewrite74.0ms (0.7%)

series883.0ms (8.9%)

simplify69.0ms (0.7%)

prune85.0ms (0.9%)

localize9.0ms (0.1%)

rewrite88.0ms (0.9%)

series724.0ms (7.3%)

simplify59.0ms (0.6%)

prune89.0ms (0.9%)

localize13.0ms (0.1%)

rewrite137.0ms (1.4%)

series1.7s (16.7%)

simplify139.0ms (1.4%)

prune155.0ms (1.6%)

regimes359.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (35.4%)

Profiling