Details

analyze489.0ms (7.9%)

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)

sample89.0ms (1.4%)

Algorithm

1×

intervals

Results

23.0ms	58×	body	1024	valid
13.0ms	52×	body	1024	invalid
10.0ms	144×	body	128	valid
8.0ms	35×	body	512	valid
7.0ms	108×	body	128	invalid
5.0ms	26×	body	512	invalid
3.0ms	18×	body	256	valid
2.0ms	19×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify192.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

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

18.3b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
0.2b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
3.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite30.0ms (0.5%)

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)))

series174.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

99.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
53.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
22.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5155	1264

prune78.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Error

0.3b

Counts

78 → 3

Compiler

Compiled 1569 to 679 computations (56.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
0.2b	(.f64 J (.f64 2 (sinh.f64 l)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`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`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701` `associate-*r/_binary64_702`
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)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

series216.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
63.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
34.0ms	(sinh.f64 l)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4948	750
1	4948	750

prune66.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Error

0.3b

Counts

61 → 4

Compiler

Compiled 1031 to 697 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.3b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`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`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701`
3×	`add-log-exp_binary64_799` `associate-*r/_binary64_702` `sinh-def_binary64_945`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`

Counts

3 → 49

Calls

3 calls:

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)

series217.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

111.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
72.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
34.0ms	(sinh.f64 l)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5101	879

prune55.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Error

0.3b

Counts

62 → 4

Compiler

Compiled 1042 to 708 computations (32.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_782`
25×	`associate-r_binary64_700`
21×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796`
14×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
10×	`prod-exp_binary64_809` `associate-l_binary64_701`
8×	`unswap-sqr_binary64_728` `unpow-prod-down_binary64_839`
6×	`cbrt-unprod_binary64_793`
4×	`add-log-exp_binary64_799` `associate-r/_binary64_702` `sqr-pow_binary64_732` `cube-prod_binary64_788` `pow-prod-down_binary64_831` `-commutative_binary64_691`
2×	`associate-*l/_binary64_703` `flip3-+_binary64_763` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`

Counts

4 → 98

Calls

4 calls:

18.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
15.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

series303.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
107.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
30.0ms	(*.f64 1/60 (pow.f64 l 5))
22.0ms	(*.f64 1/3 (pow.f64 l 3))

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5055	2045

prune174.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	108	6	114

Error

0.2b

Counts

114 → 6

Compiler

Compiled 3296 to 2248 computations (31.8% saved)

regimes380.0ms (6.1%)

Accuracy

Total 0.1b remaining (53.1%)

Threshold costs 0.1b (53.1%)

Compiler

Compiled 3990 to 3632 computations (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%)

sample3.3s (53.8%)

Algorithm

1×

intervals

Results

674.0ms	1611×	body	1024	valid
522.0ms	1909×	body	1024	invalid
316.0ms	4479×	body	128	valid
259.0ms	1132×	body	512	valid
242.0ms	3406×	body	128	invalid
184.0ms	948×	body	512	invalid
108.0ms	720×	body	256	valid
71.0ms	531×	body	256	invalid
35.0ms	58×	body	2048	valid

Compiler

Compiled 413 to 376 computations (9% saved)

Details

analyze489.0ms (7.9%)

sample89.0ms (1.4%)

simplify192.0ms (3.1%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite30.0ms (0.5%)

series174.0ms (2.8%)

simplify70.0ms (1.1%)

prune78.0ms (1.2%)

localize10.0ms (0.2%)

rewrite19.0ms (0.3%)

series216.0ms (3.5%)

simplify57.0ms (0.9%)

prune66.0ms (1.1%)

localize10.0ms (0.2%)

rewrite19.0ms (0.3%)

series217.0ms (3.5%)

simplify57.0ms (0.9%)

prune55.0ms (0.9%)

localize16.0ms (0.3%)

rewrite56.0ms (0.9%)

series303.0ms (4.9%)

simplify80.0ms (1.3%)

prune174.0ms (2.8%)

regimes380.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (53.8%)

Profiling