Details

analyze644.0ms (9.4%)

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)

sample102.0ms (1.5%)

Algorithm

1×

intervals

Results

22.0ms	53×	body	1024	valid
18.0ms	70×	body	1024	invalid
11.0ms	39×	body	512	invalid
10.0ms	144×	body	128	valid
8.0ms	111×	body	128	invalid
7.0ms	31×	body	512	valid
4.0ms	25×	body	256	valid
2.0ms	14×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

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

19.3b

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)))
7.2b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101`
10×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `associate-r_binary64_1041` `cancel-sign-sub-inv_binary64_1067`
5×	`add-log-exp_binary64_1140`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-l*_binary64_1042` `distribute-rgt-in_binary64_1051`
3×	`sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105`
2×	`-commutative_binary64_1032` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `associate-l/_binary64_1044` `sinh-undef_binary64_1294`
1×	`diff-log_binary64_1193` `unswap-sqr_binary64_1069`

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)))

series180.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

107.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
51.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
21.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5155	1264

prune74.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Error

0.1b

Counts

78 → 2

Compiler

Compiled 1528 to 642 computations (58% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
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)
0.2b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
4×	`associate-r/_binary64_1043` `associate-r_binary64_1041` `associate-l*_binary64_1042`
3×	`sinh-def_binary64_1286`
2×	`*-commutative_binary64_1032`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075` `associate-*l/_binary64_1044`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.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)

series443.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
126.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
61.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
35.0ms	(sinh.f64 l)

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4961	1143
1	4961	1143

prune81.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 1406 to 947 computations (32.6% saved)

localize10.0ms (0.2%)

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 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)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
4×	`associate-r_binary64_1041` `associate-l_binary64_1042`
3×	`associate-*r/_binary64_1043` `sinh-def_binary64_1286`
2×	`-commutative_binary64_1032` `associate-l/_binary64_1044`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

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)

series440.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
116.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
73.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
34.0ms	(sinh.f64 l)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4953	1260
1	4953	1260

prune74.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Error

Counts

78 → 6

Compiler

Compiled 1409 to 950 computations (32.6% 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)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
15×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.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)))

series313.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
71.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
70.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
68.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4856	1101
1	4856	1101

prune129.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Error

Counts

91 → 6

Compiler

Compiled 2471 to 1866 computations (24.5% saved)

regimes341.0ms (5%)

Accuracy

Total 0.1b remaining (61.3%)

Threshold costs 0.1b (61.3%)

Compiler

Compiled 3936 to 3486 computations (11.4% 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 (50.8%)

Algorithm

1×

intervals

Results

725.0ms	1695×	body	1024	valid
584.0ms	2092×	body	1024	invalid
312.0ms	4381×	body	128	valid
283.0ms	1193×	body	512	valid
258.0ms	3591×	body	128	invalid
214.0ms	1040×	body	512	invalid
96.0ms	671×	body	256	valid
73.0ms	497×	body	256	invalid
40.0ms	60×	body	2048	valid

Compiler

Compiled 412 to 366 computations (11.2% saved)

Details

analyze644.0ms (9.4%)

sample102.0ms (1.5%)

simplify105.0ms (1.5%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite29.0ms (0.4%)

series180.0ms (2.6%)

simplify65.0ms (1%)

prune74.0ms (1.1%)

localize11.0ms (0.2%)

rewrite28.0ms (0.4%)

series443.0ms (6.5%)

simplify47.0ms (0.7%)

prune81.0ms (1.2%)

localize10.0ms (0.2%)

rewrite28.0ms (0.4%)

series440.0ms (6.4%)

simplify68.0ms (1%)

prune74.0ms (1.1%)

localize14.0ms (0.2%)

rewrite19.0ms (0.3%)

series313.0ms (4.6%)

simplify98.0ms (1.4%)

prune129.0ms (1.9%)

regimes341.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (50.8%)

Profiling