Details

analyze500.0ms (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)

sample99.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	42×	body	1024	valid
20.0ms	64×	body	1024	invalid
10.0ms	42×	body	512	valid
10.0ms	143×	body	128	valid
8.0ms	116×	body	128	invalid
5.0ms	23×	body	512	invalid
4.0ms	26×	body	256	valid
2.0ms	3×	body	2048	valid
2.0ms	12×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify268.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

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: 15.5b

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)))
5.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_772`
10×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786`
9×	`associate-r_binary64_693`
6×	`add-cube-cbrt_binary64_783`
5×	`add-log-exp_binary64_787`
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×	`unswap-sqr_binary64_719` `distribute-lft-in_binary64_702` `diff-log_binary64_840` `distribute-rgt-in_binary64_703`

Counts

3 → 59

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)))

series359.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

217.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
101.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
40.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5125	1158

prune68.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	1	69

Merged error: 0.0b

Counts

69 → 1

Compiler

Compiled 1376 to 593 computations (56.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`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`
5×	`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`
2×	`sinh-def_binary64_933` `*-commutative_binary64_684`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `associate-*l/_binary64_696` `flip-+_binary64_725`

Counts

3 → 52

Calls

3 calls:

12.0ms	(+.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)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

series814.0ms (10.5%)

Counts

3 → 9

Calls

3 calls:

444.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
238.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
132.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5948	1057

prune68.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

Compiler

Compiled 1198 to 809 computations (32.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`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`
5×	`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×	`associate-*r/_binary64_695`
2×	`sinh-def_binary64_933` `-commutative_binary64_684` `associate-l/_binary64_696`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `flip-+_binary64_725`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.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)))

series818.0ms (10.6%)

Counts

3 → 9

Calls

3 calls:

442.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
234.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
142.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5352	1174

prune70.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

Compiler

Compiled 1211 to 820 computations (32.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite18.0ms (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:

7.0ms	(*.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)))

series544.0ms (7%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
122.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
121.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
119.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4908	1101
1	4908	1101

prune135.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 2471 to 1866 computations (24.5% saved)

regimes100.0ms (1.3%)

Compiler: Compiled 904 to 790 computations (12.6% 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 (45.1%)

Algorithm

1×

intervals

Results

832.0ms	1698×	body	1024	valid
624.0ms	1930×	body	1024	invalid
336.0ms	4317×	body	128	valid
316.0ms	1221×	body	512	valid
269.0ms	3491×	body	128	invalid
227.0ms	1034×	body	512	invalid
113.0ms	690×	body	256	valid
69.0ms	448×	body	256	invalid
54.0ms	74×	body	2048	valid

Compiler

Compiled 176 to 154 computations (12.5% saved)

Details

analyze500.0ms (6.5%)

sample99.0ms (1.3%)

simplify268.0ms (3.5%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite36.0ms (0.5%)

series359.0ms (4.6%)

simplify73.0ms (0.9%)

prune68.0ms (0.9%)

localize11.0ms (0.1%)

rewrite30.0ms (0.4%)

series814.0ms (10.5%)

simplify45.0ms (0.6%)

prune68.0ms (0.9%)

localize14.0ms (0.2%)

rewrite29.0ms (0.4%)

series818.0ms (10.6%)

simplify45.0ms (0.6%)

prune70.0ms (0.9%)

localize14.0ms (0.2%)

rewrite18.0ms (0.2%)

series544.0ms (7%)

simplify76.0ms (1%)

prune135.0ms (1.7%)

regimes100.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (45.1%)

Profiling