Details

analyze508.0ms (7.3%)

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)

sample106.0ms (1.5%)

Algorithm

1×

intervals

Results

28.0ms	55×	body	1024	valid
19.0ms	61×	body	1024	invalid
11.0ms	44×	body	512	valid
10.0ms	132×	body	128	valid
7.0ms	106×	body	128	invalid
6.0ms	27×	body	512	invalid
4.0ms	24×	body	256	valid
3.0ms	23×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify262.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4774	24
1	4774	24

prune7.0ms (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: 18.3b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

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)))
5.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_789`
13×	`*-un-lft-identity_binary64_767`
10×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`associate-r_binary64_707` `cancel-sign-sub-inv_binary64_733` `add-cube-cbrt_binary64_802`
5×	`add-log-exp_binary64_806`
4×	`associate-l_binary64_708` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `distribute-rgt-in_binary64_717` `associate-*r/_binary64_709` `distribute-lft-in_binary64_716` `pow-prod-down_binary64_838`
3×	`sub-neg_binary64_760` `flip--_binary64_742` `flip3--_binary64_771`
2×	`-commutative_binary64_698` `distribute-lft-out--_binary64_719` `2sinh-undef_binary64_962` `associate-l/_binary64_710` `difference-of-squares_binary64_736`
1×	`unswap-sqr_binary64_735` `diff-log_binary64_859`

Counts

3 → 68

Calls

3 calls:

11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series352.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

209.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
100.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
43.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4910	1264
1	4910	1264

prune80.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	1	78

Merged error: 0.0b

Counts

78 → 1

Compiler

Compiled 1601 to 715 computations (55.3% saved)

localize11.0ms (0.2%)

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)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
5×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `associate-*r/_binary64_709`
3×	`add-log-exp_binary64_806` `sinh-def_binary64_952`
2×	`*-commutative_binary64_698`
1×	`associate-*l/_binary64_710`

Counts

3 → 49

Calls

3 calls:

9.0ms	(.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)

series456.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

243.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
143.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
70.0ms	(sinh.f64 l)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5010	750

prune99.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

Compiler

Compiled 1572 to 1199 computations (23.7% saved)

localize11.0ms (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)))
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
5×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `associate-r_binary64_707`
3×	`add-log-exp_binary64_806` `associate-*r/_binary64_709` `sinh-def_binary64_952`
2×	`-commutative_binary64_698` `associate-l/_binary64_710`

Counts

3 → 49

Calls

3 calls:

9.0ms	(.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)

series442.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

242.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
130.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
70.0ms	(sinh.f64 l)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5132	879

prune74.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

Compiler

Compiled 1261 to 907 computations (28.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_798`
23×	`add-sqr-sqrt_binary64_789`
15×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
11×	`pow1_binary64_828`
9×	`pow1/3_binary64_849`
6×	`associate-l_binary64_708` `associate-r_binary64_707` `swap-sqr_binary64_734` `add-exp-log_binary64_805`
4×	`unswap-sqr_binary64_735` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
2×	`pow-prod-up_binary64_837` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`
1×	`pow2_binary64_848` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `*-commutative_binary64_698`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

series570.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
132.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
127.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
118.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4874	1101
1	4874	1101

prune146.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

Compiler

Compiled 2593 to 1977 computations (23.8% saved)

regimes93.0ms (1.3%)

Compiler: Compiled 598 to 580 computations (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%)

sample3.3s (48.1%)

Algorithm

1×

intervals

Results

797.0ms	1664×	body	1024	valid
622.0ms	1963×	body	1024	invalid
325.0ms	4431×	body	128	valid
291.0ms	1163×	body	512	valid
260.0ms	3516×	body	128	invalid
204.0ms	958×	body	512	invalid
107.0ms	698×	body	256	valid
72.0ms	469×	body	256	invalid
32.0ms	44×	body	2048	valid

Compiler

Compiled 125 to 119 computations (4.8% saved)

Details

analyze508.0ms (7.3%)

sample106.0ms (1.5%)

simplify262.0ms (3.8%)

prune7.0ms (0.1%)

localize13.0ms (0.2%)

rewrite34.0ms (0.5%)

series352.0ms (5.1%)

simplify65.0ms (0.9%)

prune80.0ms (1.2%)

localize11.0ms (0.2%)

rewrite21.0ms (0.3%)

series456.0ms (6.6%)

simplify56.0ms (0.8%)

prune99.0ms (1.4%)

localize11.0ms (0.2%)

rewrite21.0ms (0.3%)

series442.0ms (6.4%)

simplify58.0ms (0.8%)

prune74.0ms (1.1%)

localize14.0ms (0.2%)

rewrite19.0ms (0.3%)

series570.0ms (8.2%)

simplify75.0ms (1.1%)

prune146.0ms (2.1%)

regimes93.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (48.1%)

Profiling