Details

analyze501.0ms (6.7%)

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)

sample103.0ms (1.4%)

Algorithm

1×

intervals

Results

24.0ms	51×	body	1024	valid
18.0ms	67×	body	1024	invalid
9.0ms	134×	body	128	valid
9.0ms	40×	body	512	valid
7.0ms	105×	body	128	invalid
6.0ms	31×	body	512	invalid
4.0ms	28×	body	256	valid
3.0ms	18×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify188.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

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

Error

18.9b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

5.4b	(-.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)))
0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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)))
5.4b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite31.0ms (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

6 calls:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
0.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

series360.0ms (4.8%)

Counts

3 → 21

Calls

3 calls:

252.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
85.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
23.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 670 to 611 computations (8.8% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5286	1464

prune87.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Error

0.0b

Counts

90 → 2

Compiler

Compiled 1722 to 732 computations (57.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-r_binary64_700`
14×	`add-sqr-sqrt_binary64_782`
12×	`add-exp-log_binary64_798`
9×	`add-cbrt-cube_binary64_796`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
6×	`prod-exp_binary64_809`
4×	`unswap-sqr_binary64_728` `associate-l_binary64_701` `cbrt-unprod_binary64_793` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
3×	`pow-prod-down_binary64_831`
2×	`associate-l/_binary64_703` `add-log-exp_binary64_799` `associate-r/_binary64_702` `sqr-pow_binary64_732` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `flip3-+_binary64_763` `unpow3_binary64_826` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829`

Counts

2 → 51

Calls

4 calls:

13.0ms	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
0.0ms	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
0.0ms	(*.f64 1/3 (pow.f64 l 3))

series447.0ms (6%)

Counts

2 → 17

Calls

2 calls:

414.0ms	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
33.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 678 to 591 computations (12.8% saved)

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5220	1188

prune105.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 1674 to 1095 computations (34.6% saved)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.1b	(.f64 J (.f64 (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (+.f64 (+.f64 l l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 (+.f64 (+.f64 l l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 J (.f64 (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_782`
16×	`associate-r_binary64_700`
15×	`add-exp-log_binary64_798`
12×	`add-cbrt-cube_binary64_796`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
9×	`associate-l_binary64_701`
7×	`prod-exp_binary64_809`
5×	`unswap-sqr_binary64_728` `cbrt-unprod_binary64_793`
4×	`associate-*l/_binary64_703` `cube-prod_binary64_788` `pow-prod-down_binary64_831` `unpow-prod-down_binary64_839`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702` `sqr-pow_binary64_732`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `pow-exp_binary64_828` `pow-to-exp_binary64_829`

Counts

3 → 71

Calls

6 calls:

15.0ms	(.f64 J (.f64 (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
12.0ms	(.f64 (+.f64 (+.f64 l l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
0.0ms	(.f64 (+.f64 (+.f64 l l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
0.0ms	(*.f64 1/3 (pow.f64 l 3))

series671.0ms (8.9%)

Counts

3 → 28

Calls

3 calls:

405.0ms	(.f64 J (.f64 (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2))))
232.0ms	(.f64 (+.f64 (+.f64 l l) (.f64 1/3 (pow.f64 l 3))) (cos.f64 (/.f64 K 2)))
34.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1088 to 961 computations (11.7% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5259	1919

prune134.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Error

Counts

105 → 5

Compiler

Compiled 2371 to 1530 computations (35.5% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))
0.1b	(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
0.0b	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2)))))
0.0b	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2)))))
0.1b	(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
10×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
9×	`associate-l_binary64_701` `add-sqr-sqrt_binary64_782`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
5×	`associate-r_binary64_700`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728`

Counts

3 → 57

Calls

6 calls:

8.0ms	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2)))))
6.0ms	(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
5.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))
0.0ms	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2)))))
0.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

series467.0ms (6.2%)

Counts

3 → 30

Calls

3 calls:

201.0ms	(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2)))))
180.0ms	(.f64 l (.f64 J (cos.f64 (*.f64 K 1/2))))
86.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

Compiler

Compiled 756 to 708 computations (6.3% saved)

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4740	1186
1	4740	1186

prune78.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1302 to 896 computations (31.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	197	571
1	197	571

regimes309.0ms (4.1%)

Compiler: Compiled 3130 to 2848 computations (9% saved)

bsearch0.0ms (0%)

regimes91.0ms (1.2%)

Compiler: Compiled 376 to 478 computations (-27.1% saved)

bsearch0.0ms (0%)

regimes38.0ms (0.5%)

Compiler: Compiled 48 to 124 computations (-158.3% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.4%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes30.0ms (0.4%)

Accuracy

Total 0.4b remaining (94.3%)

Threshold costs 0.4b (94.3%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch4.0ms (0%)

Compiler: Compiled 41 to 45 computations (-9.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	60
1	38	60

end0.0ms (0%)

sample3.4s (45.5%)

Algorithm

1×

intervals

Results

676.0ms	1580×	body	1024	valid
541.0ms	1993×	body	1024	invalid
320.0ms	4494×	body	128	valid
279.0ms	1191×	body	512	valid
242.0ms	3404×	body	128	invalid
198.0ms	989×	body	512	invalid
100.0ms	682×	body	256	valid
78.0ms	540×	body	256	invalid
31.0ms	53×	body	2048	valid

Compiler

Compiled 434 to 397 computations (8.5% saved)

Pareto

0.8189419897641522

Details

analyze501.0ms (6.7%)

sample103.0ms (1.4%)

simplify188.0ms (2.5%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite31.0ms (0.4%)

series360.0ms (4.8%)

simplify72.0ms (1%)

prune87.0ms (1.2%)

localize13.0ms (0.2%)

rewrite25.0ms (0.3%)

series447.0ms (6%)

simplify37.0ms (0.5%)

prune105.0ms (1.4%)

localize13.0ms (0.2%)

rewrite41.0ms (0.5%)

series671.0ms (8.9%)

simplify63.0ms (0.8%)

prune134.0ms (1.8%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series467.0ms (6.2%)

simplify87.0ms (1.2%)

prune78.0ms (1%)

simplify9.0ms (0.1%)

regimes309.0ms (4.1%)

bsearch0.0ms (0%)

regimes91.0ms (1.2%)

bsearch0.0ms (0%)

regimes38.0ms (0.5%)

bsearch0.0ms (0%)

regimes33.0ms (0.4%)

bsearch0.0ms (0%)

regimes30.0ms (0.4%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (45.5%)

Profiling