Details

analyze506.0ms (5.1%)

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)

sample108.0ms (1.1%)

Algorithm

1×

intervals

Results

22.0ms	72×	body	1024	invalid
22.0ms	50×	body	1024	valid
12.0ms	49×	body	512	valid
9.0ms	136×	body	128	valid
8.0ms	110×	body	128	invalid
7.0ms	35×	body	512	invalid
3.0ms	21×	body	256	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify196.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

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

18.0b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize13.0ms (0.1%)

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)))
5.9b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite91.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760`
10×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-log-exp_binary64_799`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r/_binary64_702` `associate-l*_binary64_701` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`
2×	`sinh-undef_binary64_953` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728`

Counts

3 → 68

Calls

3 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))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1608 to 602 computations (62.6% saved)

series408.0ms (4.1%)

Error

0.0b

Counts

3 → 25

Calls

3 calls:

264.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
90.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
28.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1297 to 1000 computations (22.9% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4928	1596
1	4928	1596

prune89.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	2	94

Error

0.0b

Counts

94 → 2

Compiler

Compiled 1830 to 796 computations (56.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.0b	(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)))

rewrite95.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`associate-r/_binary64_702` `associate-l_binary64_701` `associate-r*_binary64_700`
3×	`sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

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)))
5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1280 to 818 computations (36.1% saved)

series1.1s (11.2%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

518.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
357.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
155.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
46.0ms	(sinh.f64 l)

Compiler

Compiled 2317 to 1764 computations (23.9% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5027	1716

prune102.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Error

0.0b

Counts

108 → 4

Compiler

Compiled 1771 to 1167 computations (34.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2)))) 1) U)
0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))

rewrite101.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
8×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
4×	`associate-l_binary64_701` `associate-r_binary64_700`
2×	`sinh-def_binary64_945` `*-commutative_binary64_691`
1×	`associate-r/_binary64_702` `associate-l/_binary64_703` `unswap-sqr_binary64_728` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 61

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2)))) 1) U)
8.0ms	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))
4.0ms	(*.f64 J (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1452 to 993 computations (31.6% saved)

series1.0s (10.3%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

520.0ms	(+.f64 (pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2)))) 1) U)
350.0ms	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))
76.0ms	(*.f64 J (cos.f64 (/.f64 K 2)))
42.0ms	(sinh.f64 l)

Compiler

Compiled 2332 to 1831 computations (21.5% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5071	1734

prune104.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	106	4	110

Error

0.0b

Counts

110 → 4

Compiler

Compiled 1902 to 1286 computations (32.4% saved)

localize11.0ms (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 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite94.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`associate-l_binary64_701` `associate-r_binary64_700`
3×	`sinh-def_binary64_945` `associate-*r/_binary64_702`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`
1×	`sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 60

Calls

4 calls:

8.0ms	(+.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)

Compiler

Compiled 1307 to 848 computations (35.1% saved)

series1.1s (11.5%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

532.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
352.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
174.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
45.0ms	(sinh.f64 l)

Compiler

Compiled 2348 to 1798 computations (23.4% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5552	1840

prune96.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Error

0.0b

Counts

110 → 5

Compiler

Compiled 1708 to 1119 computations (34.5% saved)

regimes667.0ms (6.7%)

Accuracy

Total 0.3b remaining (97.8%)

Threshold costs 0.3b (97.8%)

Compiler

Compiled 5118 to 4680 computations (8.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	36
1	29	36

end0.0ms (0%)

sample3.7s (37%)

Algorithm

1×

intervals

Results

727.0ms	1656×	body	1024	valid
538.0ms	1965×	body	1024	invalid
323.0ms	4420×	body	128	valid
277.0ms	1170×	body	512	valid
247.0ms	3382×	body	128	invalid
207.0ms	1041×	body	512	invalid
109.0ms	712×	body	256	valid
66.0ms	488×	body	256	invalid
24.0ms	42×	body	2048	valid

Compiler

Compiled 530 to 481 computations (9.2% saved)

Details

analyze506.0ms (5.1%)

sample108.0ms (1.1%)

simplify196.0ms (2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite91.0ms (0.9%)

series408.0ms (4.1%)

simplify75.0ms (0.8%)

prune89.0ms (0.9%)

localize11.0ms (0.1%)

rewrite95.0ms (1%)

series1.1s (11.2%)

simplify73.0ms (0.7%)

prune102.0ms (1%)

localize13.0ms (0.1%)

rewrite101.0ms (1%)

series1.0s (10.3%)

simplify75.0ms (0.8%)

prune104.0ms (1%)

localize11.0ms (0.1%)

rewrite94.0ms (0.9%)

series1.1s (11.5%)

simplify59.0ms (0.6%)

prune96.0ms (1%)

regimes667.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (37%)

Profiling