Details

analyze480.0ms (5.8%)

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)

sample101.0ms (1.2%)

Algorithm

1×

intervals

Results

21.0ms	47×	body	1024	valid
21.0ms	63×	body	1024	invalid
10.0ms	43×	body	512	valid
9.0ms	134×	body	128	valid
7.0ms	35×	body	512	invalid
6.0ms	92×	body	128	invalid
4.0ms	29×	body	256	valid
3.0ms	3×	body	2048	valid
2.0ms	17×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify258.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4774	24
1	4774	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: 17.1b

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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.9b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite32.0ms (0.4%)

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:

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)))

series349.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

203.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
102.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
44.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4910	1264
1	4910	1264

prune75.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 1552 to 663 computations (57.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.4%)

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

series841.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

422.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
230.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
121.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
68.0ms	(sinh.f64 l)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4955	1143
1	4955	1143

prune83.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

Compiler

Compiled 1400 to 946 computations (32.4% 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 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite31.0ms (0.4%)

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:

10.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
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)

series852.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

430.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
219.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
132.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
71.0ms	(sinh.f64 l)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4941	1260
1	4941	1260

prune80.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0b

Counts

78 → 7

Compiler

Compiled 1419 to 965 computations (32% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)

series629.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
149.0ms	(cbrt.f64 J)
149.0ms	(cbrt.f64 J)
148.0ms	(cbrt.f64 J)

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	563

prune91.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0b

Counts

92 → 7

Compiler

Compiled 1924 to 999 computations (48.1% saved)

regimes566.0ms (6.8%)

Compiler: Compiled 3876 to 3556 computations (8.3% 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 (42.2%)

Algorithm

1×

intervals

Results

804.0ms	1717×	body	1024	valid
583.0ms	1904×	body	1024	invalid
311.0ms	4344×	body	128	valid
291.0ms	1187×	body	512	valid
239.0ms	3424×	body	128	invalid
200.0ms	959×	body	512	invalid
101.0ms	692×	body	256	valid
71.0ms	521×	body	256	invalid
40.0ms	60×	body	2048	valid

Compiler

Compiled 406 to 373 computations (8.1% saved)

Details

analyze480.0ms (5.8%)

sample101.0ms (1.2%)

simplify258.0ms (3.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite32.0ms (0.4%)

series349.0ms (4.2%)

simplify63.0ms (0.8%)

prune75.0ms (0.9%)

localize11.0ms (0.1%)

rewrite32.0ms (0.4%)

series841.0ms (10.1%)

simplify46.0ms (0.5%)

prune83.0ms (1%)

localize11.0ms (0.1%)

rewrite31.0ms (0.4%)

series852.0ms (10.2%)

simplify82.0ms (1%)

prune80.0ms (1%)

localize14.0ms (0.2%)

rewrite17.0ms (0.2%)

series629.0ms (7.6%)

simplify52.0ms (0.6%)

prune91.0ms (1.1%)

regimes566.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (42.2%)

Profiling