Details

analyze499.0ms (8.1%)

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)

sample109.0ms (1.8%)

Algorithm

1×

intervals

Results

19.0ms	33×	body	1280	valid
19.0ms	51×	body	1280	invalid
19.0ms	49×	body	640	valid
9.0ms	143×	body	80	valid
8.0ms	31×	body	640	invalid
7.0ms	111×	body	80	invalid
4.0ms	19×	body	320	valid
4.0ms	21×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	10×	body	160	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4816	24
1	4816	24

prune5.0ms (0.1%)

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: 15.3b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (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)))
6.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 59

Calls

3 calls:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series40.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(.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))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5009	1162

prune48.0ms (0.8%)

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 1378 to 585 computations (57.5% saved)

localize15.0ms (0.2%)

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)))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

17.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
14.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
3.0ms	(sinh.f64 l)

series97.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
29.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
14.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
7.0ms	(sinh.f64 l)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5863	1143

prune72.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

Compiler

Compiled 1374 to 927 computations (32.5% saved)

localize11.0ms (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)))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
3×	`sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
9.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
1.0ms	(sinh.f64 l)

series100.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
27.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
17.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
7.0ms	(sinh.f64 l)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5310	1260

prune62.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

Compiler

Compiled 1377 to 930 computations (32.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-r_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`associate-*l/_binary64`
2×	`pow1/2_binary64` `sinh-def_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
10.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
2.0ms	(sqrt.f64 (cos.f64 (/.f64 K 2)))
2.0ms	(sqrt.f64 (cos.f64 (/.f64 K 2)))

series64.0ms (1%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
27.0ms	(.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
3.0ms	(sqrt.f64 (cos.f64 (/.f64 K 2)))
3.0ms	(sqrt.f64 (cos.f64 (/.f64 K 2)))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5459	1504

prune83.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	91	7	98

Merged error: 0b

Counts

98 → 7

Compiler

Compiled 2017 to 1452 computations (28% saved)

regimes292.0ms (4.8%)

Compiler: Compiled 748 to 742 computations (0.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample4.1s (66.8%)

Algorithm

1×

intervals

Results

716.0ms	1230×	body	1280	valid
569.0ms	1456×	body	1280	invalid
469.0ms	1394×	body	640	valid
338.0ms	1236×	body	640	invalid
279.0ms	4093×	body	80	valid
220.0ms	3198×	body	80	invalid
195.0ms	864×	body	320	valid
125.0ms	635×	body	320	invalid
58.0ms	419×	body	160	valid
41.0ms	293×	body	160	invalid

Compiler

Compiled 150 to 146 computations (2.7% saved)

Details

analyze499.0ms (8.1%)

sample109.0ms (1.8%)

simplify97.0ms (1.6%)

prune5.0ms (0.1%)

localize12.0ms (0.2%)

rewrite25.0ms (0.4%)

series40.0ms (0.6%)

simplify97.0ms (1.6%)

prune48.0ms (0.8%)

localize15.0ms (0.2%)

rewrite42.0ms (0.7%)

series97.0ms (1.6%)

simplify65.0ms (1.1%)

prune72.0ms (1.2%)

localize11.0ms (0.2%)

rewrite29.0ms (0.5%)

series100.0ms (1.6%)

simplify56.0ms (0.9%)

prune62.0ms (1%)

localize15.0ms (0.2%)

rewrite30.0ms (0.5%)

series64.0ms (1%)

simplify64.0ms (1%)

prune83.0ms (1.4%)

regimes292.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.1s (66.8%)

Profiling