Details

analyze469.0ms (6.5%)

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)

sample91.0ms (1.3%)

Algorithm

1×

intervals

Results

21.0ms	49×	body	1024	valid
14.0ms	54×	body	1024	invalid
10.0ms	148×	body	128	valid
10.0ms	93×	body	128	invalid
9.0ms	37×	body	512	valid
5.0ms	25×	body	512	invalid
3.0ms	20×	body	256	valid
2.0ms	19×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify181.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

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

Merged error: 19.0b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize11.0ms (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)))
7.3b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite34.0ms (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:

12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series179.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

102.0ms	(.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))))
24.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5155	1264

prune73.0ms (1%)

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: 0.1b

Counts

78 → 1

Compiler

Compiled 1528 to 642 computations (58% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (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:

8.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
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)

series435.0ms (6%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
128.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
64.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
33.0ms	(sinh.f64 l)

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4961	1143
1	4961	1143

prune79.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

Compiler

Compiled 1380 to 932 computations (32.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

11.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
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)

series443.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
119.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
74.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
33.0ms	(sinh.f64 l)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1260
1	4953	1260

prune75.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

Compiler

Compiled 1381 to 934 computations (32.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
11.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
11.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
11.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64_702`
11×	`pow1_binary64_821`
10×	`add-sqr-sqrt_binary64_782`
9×	`pow1/3_binary64_842`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`cbrt-div_binary64_792` `cbrt-prod_binary64_791` `sinh-def_binary64_945`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `prod-exp_binary64_809` `pow-plus_binary64_823` `frac-times_binary64_770` `cbrt-unprod_binary64_793` `-commutative_binary64_691`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

series943.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

323.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
212.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
211.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
196.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4878	1120
1	4878	1120

prune118.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	8	83

Merged error: 0b

Counts

83 → 8

Compiler

Compiled 2443 to 1627 computations (33.4% saved)

regimes337.0ms (4.7%)

Compiler: Compiled 3836 to 3386 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.4s (46.5%)

Algorithm

1×

intervals

Results

670.0ms	1631×	body	1024	valid
559.0ms	2090×	body	1024	invalid
312.0ms	4406×	body	128	valid
272.0ms	1207×	body	512	valid
260.0ms	3549×	body	128	invalid
201.0ms	1047×	body	512	invalid
99.0ms	692×	body	256	valid
66.0ms	485×	body	256	invalid
39.0ms	64×	body	2048	valid

Compiler

Compiled 402 to 356 computations (11.4% saved)

Details

analyze469.0ms (6.5%)

sample91.0ms (1.3%)

simplify181.0ms (2.5%)

prune3.0ms (0%)

localize11.0ms (0.2%)

rewrite34.0ms (0.5%)

series179.0ms (2.5%)

simplify67.0ms (0.9%)

prune73.0ms (1%)

localize10.0ms (0.1%)

rewrite28.0ms (0.4%)

series435.0ms (6%)

simplify48.0ms (0.7%)

prune79.0ms (1.1%)

localize10.0ms (0.1%)

rewrite31.0ms (0.4%)

series443.0ms (6.1%)

simplify62.0ms (0.9%)

prune75.0ms (1%)

localize16.0ms (0.2%)

rewrite26.0ms (0.4%)

series943.0ms (13.1%)

simplify97.0ms (1.3%)

prune118.0ms (1.6%)

regimes337.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (46.5%)

Profiling