Details

analyze495.0ms (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)

sample99.0ms (1.2%)

Algorithm

1×

intervals

Results

25.0ms	54×	body	1024	valid
20.0ms	51×	body	1024	invalid
10.0ms	143×	body	128	valid
8.0ms	34×	body	512	valid
7.0ms	92×	body	128	invalid
6.0ms	29×	body	512	invalid
3.0ms	22×	body	256	valid
2.0ms	3×	body	2048	valid
2.0ms	11×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify261.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4734	24
1	4734	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: 15.6b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
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)))
4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_772`
11×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786`
9×	`associate-r_binary64_693`
8×	`add-log-exp_binary64_787`
7×	`add-cube-cbrt_binary64_783`
4×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r/_binary64_695` `associate-l*_binary64_694` `cbrt-unprod_binary64_781`
3×	`flip--_binary64_726` `sub-neg_binary64_744` `flip3--_binary64_755`
2×	`distribute-lft-out--_binary64_705` `sinh-undef_binary64_941` `-commutative_binary64_684` `associate-l/_binary64_696` `difference-of-squares_binary64_720`
1×	`+-commutative_binary64_683` `unswap-sqr_binary64_719` `flip3-+_binary64_754` `distribute-lft-in_binary64_702` `diff-log_binary64_840` `sum-log_binary64_839` `distribute-rgt-in_binary64_703` `flip-+_binary64_725`

Counts

4 → 70

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

series754.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

423.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
191.0ms	(.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))))
37.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4951	1608
1	4951	1608

prune84.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	1	83

Merged error: 0.0b

Counts

83 → 1

Compiler

Compiled 1714 to 733 computations (57.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
6×	`add-cube-cbrt_binary64_783` `add-log-exp_binary64_787` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-r/_binary64_695` `associate-l_binary64_694` `associate-r*_binary64_693`
3×	`sinh-def_binary64_933`
2×	`*-commutative_binary64_684`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `associate-*l/_binary64_696` `flip-+_binary64_725`

Counts

4 → 60

Calls

4 calls:

10.0ms	(+.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)

series846.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

408.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
234.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
133.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
70.0ms	(sinh.f64 l)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5024	1143

prune77.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 1331 to 893 computations (32.9% 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)))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
6×	`add-cube-cbrt_binary64_783` `add-log-exp_binary64_787` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-l_binary64_694` `associate-r_binary64_693`
3×	`sinh-def_binary64_933` `associate-*r/_binary64_695`
2×	`-commutative_binary64_684` `associate-l/_binary64_696`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `flip-+_binary64_725`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.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)

series848.0ms (10%)

Counts

4 → 12

Calls

4 calls:

423.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
222.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
140.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
63.0ms	(sinh.f64 l)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5441	1260

prune77.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

Compiler

Compiled 1324 to 888 computations (32.9% saved)

localize15.0ms (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_779`
23×	`add-sqr-sqrt_binary64_772`
15×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
11×	`pow1_binary64_809`
9×	`pow1/3_binary64_830`
6×	`swap-sqr_binary64_718` `associate-l_binary64_694` `add-exp-log_binary64_786` `associate-r_binary64_693`
4×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
2×	`pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819`
1×	`prod-exp_binary64_797` `pow-plus_binary64_811` `*-commutative_binary64_684` `cbrt-unprod_binary64_781` `pow2_binary64_829`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)

series620.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
156.0ms	(cbrt.f64 J)
146.0ms	(cbrt.f64 J)
145.0ms	(cbrt.f64 J)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune92.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

Compiler

Compiled 1924 to 999 computations (48.1% saved)

regimes334.0ms (3.9%)

Compiler: Compiled 3216 to 2966 computations (7.8% 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 (41.4%)

Algorithm

1×

intervals

Results

767.0ms	1627×	body	1024	valid
627.0ms	1990×	body	1024	invalid
331.0ms	4460×	body	128	valid
300.0ms	1176×	body	512	valid
238.0ms	3362×	body	128	invalid
211.0ms	1005×	body	512	invalid
105.0ms	679×	body	256	valid
71.0ms	505×	body	256	invalid
40.0ms	58×	body	2048	valid

Compiler

Compiled 340 to 314 computations (7.6% saved)

Details

analyze495.0ms (5.8%)

sample99.0ms (1.2%)

simplify261.0ms (3.1%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite46.0ms (0.5%)

series754.0ms (8.8%)

simplify51.0ms (0.6%)

prune84.0ms (1%)

localize11.0ms (0.1%)

rewrite30.0ms (0.4%)

series846.0ms (9.9%)

simplify63.0ms (0.7%)

prune77.0ms (0.9%)

localize11.0ms (0.1%)

rewrite34.0ms (0.4%)

series848.0ms (10%)

simplify47.0ms (0.6%)

prune77.0ms (0.9%)

localize15.0ms (0.2%)

rewrite17.0ms (0.2%)

series620.0ms (7.3%)

simplify66.0ms (0.8%)

prune92.0ms (1.1%)

regimes334.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (41.4%)

Profiling