Details

analyze919.0ms (6.1%)

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)

sample189.0ms (1.2%)

Algorithm

1×

intervals

Results

40.0ms	44×	body	1024	valid
37.0ms	60×	body	1024	invalid
22.0ms	38×	body	512	valid
19.0ms	144×	body	128	valid
16.0ms	121×	body	128	invalid
12.0ms	29×	body	512	invalid
8.0ms	28×	body	256	valid
4.0ms	15×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify446.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	4774	24
1	4774	24

prune5.0ms (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: 16.5b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize32.0ms (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)))
5.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite68.0ms (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:

22.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
20.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
12.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series655.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

387.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
182.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
86.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4910	1264
1	4910	1264

prune140.0ms (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 1553 to 662 computations (57.4% saved)

localize22.0ms (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)))

rewrite61.0ms (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:

19.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
17.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
12.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
2.0ms	(sinh.f64 l)

series1.6s (10.5%)

Counts

4 → 12

Calls

4 calls:

750.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
463.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
260.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
127.0ms	(sinh.f64 l)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4955	1143
1	4955	1143

prune137.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

Compiler

Compiled 1346 to 902 computations (33% saved)

localize29.0ms (0.2%)

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)))

rewrite65.0ms (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:

20.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
18.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
14.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
3.0ms	(sinh.f64 l)

series1.7s (11.2%)

Counts

4 → 12

Calls

4 calls:

824.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
450.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
300.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
129.0ms	(sinh.f64 l)

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4941	1260
1	4941	1260

prune137.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

Compiler

Compiled 1368 to 918 computations (32.9% saved)

localize30.0ms (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)

rewrite30.0ms (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:

12.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
2.0ms	(cbrt.f64 J)
2.0ms	(cbrt.f64 J)
2.0ms	(cbrt.f64 J)

series1.2s (8.2%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
313.0ms	(cbrt.f64 J)
290.0ms	(cbrt.f64 J)
288.0ms	(cbrt.f64 J)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5245	563

prune148.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

Compiler

Compiled 1924 to 999 computations (48.1% saved)

regimes594.0ms (3.9%)

Compiler: Compiled 3366 to 2866 computations (14.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample6.5s (42.7%)

Algorithm

1×

intervals

Results

1.5s	1624×	body	1024	valid
1.2s	1962×	body	1024	invalid
584.0ms	4411×	body	128	valid
567.0ms	1180×	body	512	valid
463.0ms	3522×	body	128	invalid
367.0ms	910×	body	512	invalid
208.0ms	727×	body	256	valid
129.0ms	487×	body	256	invalid
72.0ms	58×	body	2048	valid

Compiler

Compiled 355 to 304 computations (14.4% saved)

Details

analyze919.0ms (6.1%)

sample189.0ms (1.2%)

simplify446.0ms (2.9%)

prune5.0ms (0%)

localize32.0ms (0.2%)

rewrite68.0ms (0.4%)

series655.0ms (4.3%)

simplify117.0ms (0.8%)

prune140.0ms (0.9%)

localize22.0ms (0.1%)

rewrite61.0ms (0.4%)

series1.6s (10.5%)

simplify84.0ms (0.6%)

prune137.0ms (0.9%)

localize29.0ms (0.2%)

rewrite65.0ms (0.4%)

series1.7s (11.2%)

simplify152.0ms (1%)

prune137.0ms (0.9%)

localize30.0ms (0.2%)

rewrite30.0ms (0.2%)

series1.2s (8.2%)

simplify92.0ms (0.6%)

prune148.0ms (1%)

regimes594.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.5s (42.7%)

Profiling