Details

analyze816.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5058	168
0	4	4
1	4	4

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 (1.1%)

Algorithm

1×

intervals

Results

21.0ms	52×	body	1024	valid
16.0ms	61×	body	1024	invalid
12.0ms	47×	body	512	invalid
10.0ms	46×	body	512	valid
8.0ms	127×	body	128	valid
6.0ms	88×	body	128	invalid
4.0ms	28×	body	256	valid
2.0ms	15×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify101.0ms (1.1%)

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

19.2b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.1%)

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)))
5.0b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite132.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-cube-cbrt_binary64_795`
9×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
8×	`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` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 79

Calls

4 calls:

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

Compiler

Compiled 1954 to 737 computations (62.3% saved)

series1.0s (11%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

566.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
280.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
106.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
30.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 2410 to 1827 computations (24.2% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5004	2522

prune133.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	2	129

Error

0.0b

Counts

129 → 2

Compiler

Compiled 2505 to 1114 computations (55.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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)))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`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`
5×	`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×	`add-log-exp_binary64_799` `sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703`

Counts

3 → 49

Calls

3 calls:

9.0ms	(.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)

Compiler

Compiled 976 to 620 computations (36.5% saved)

series621.0ms (6.6%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

382.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
159.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
49.0ms	(sinh.f64 l)

Compiler

Compiled 1438 to 1107 computations (23% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4941	1141
1	4941	1141

prune85.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	6	79

Error

Counts

79 → 6

Compiler

Compiled 1418 to 966 computations (31.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`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`
5×	`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×	`add-log-exp_binary64_799` `sinh-def_binary64_945` `associate-*r/_binary64_702`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`

Counts

3 → 49

Calls

3 calls:

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)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1003 to 650 computations (35.2% saved)

series636.0ms (6.8%)

Error

Counts

3 → 28

Calls

3 calls:

366.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
189.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
47.0ms	(sinh.f64 l)

Compiler

Compiled 1478 to 1151 computations (22.1% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5234	1270

prune79.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Error

Counts

83 → 6

Compiler

Compiled 1409 to 962 computations (31.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite76.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`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`
7×	`add-sqr-sqrt_binary64_782`
5×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
4×	`associate-l_binary64_701` `associate-r_binary64_700`
3×	`add-log-exp_binary64_799`
2×	`*-commutative_binary64_691` `sinh-def_binary64_945`
1×	`unswap-sqr_binary64_728` `associate-r/_binary64_702` `associate-l/_binary64_703`

Counts

3 → 49

Calls

3 calls:

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 1089 to 741 computations (32% saved)

series577.0ms (6.1%)

Error

Counts

3 → 26

Calls

3 calls:

405.0ms	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))
92.0ms	(*.f64 J (cos.f64 (/.f64 K 2)))
51.0ms	(sinh.f64 l)

Compiler

Compiled 1421 to 1153 computations (18.9% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4975	1095
1	4975	1095

prune77.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Error

Counts

81 → 6

Compiler

Compiled 1401 to 977 computations (30.3% saved)

regimes629.0ms (6.7%)

Accuracy

Total 0.0b remaining (82.7%)

Threshold costs 0.0b (82.7%)

Compiler

Compiled 7081 to 6421 computations (9.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.8s (40.7%)

Algorithm

1×

intervals

Results

710.0ms	1659×	body	1024	valid
525.0ms	1947×	body	1024	invalid
307.0ms	4392×	body	128	valid
295.0ms	1206×	body	512	valid
239.0ms	3335×	body	128	invalid
191.0ms	995×	body	512	invalid
98.0ms	679×	body	256	valid
69.0ms	487×	body	256	invalid
48.0ms	64×	body	2048	valid

Compiler

Compiled 711 to 643 computations (9.6% saved)

Details

analyze816.0ms (8.7%)

sample103.0ms (1.1%)

simplify101.0ms (1.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite132.0ms (1.4%)

series1.0s (11%)

simplify93.0ms (1%)

prune133.0ms (1.4%)

localize10.0ms (0.1%)

rewrite74.0ms (0.8%)

series621.0ms (6.6%)

simplify71.0ms (0.8%)

prune85.0ms (0.9%)

localize10.0ms (0.1%)

rewrite72.0ms (0.8%)

series636.0ms (6.8%)

simplify50.0ms (0.5%)

prune79.0ms (0.8%)

localize11.0ms (0.1%)

rewrite76.0ms (0.8%)

series577.0ms (6.1%)

simplify70.0ms (0.7%)

prune77.0ms (0.8%)

regimes629.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (40.7%)

Profiling