Details

analyze472.0ms (7.4%)

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)

sample95.0ms (1.5%)

Algorithm

1×

intervals

Results

19.0ms	44×	body	1024	valid
17.0ms	63×	body	1024	invalid
12.0ms	49×	body	512	valid
9.0ms	139×	body	128	valid
7.0ms	34×	body	512	invalid
7.0ms	97×	body	128	invalid
3.0ms	22×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify193.0ms (3%)

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

Merged error: 16.2b

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)))
4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_441`
13×	`*-un-lft-identity_binary64_419`
10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`add-cube-cbrt_binary64_454` `associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `distribute-lft-in_binary64_368` `associate-l*_binary64_360`
3×	`sub-neg_binary64_412` `flip3--_binary64_423` `flip--_binary64_394`
2×	`associate-l/_binary64_362` `sinh-undef_binary64_612` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `-commutative_binary64_350`
1×	`unswap-sqr_binary64_387` `diff-log_binary64_511`

Counts

3 → 68

Calls

3 calls:

9.0ms	(.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)))

series170.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
50.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
20.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5155	1264

prune73.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

78 → 1

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
6×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`associate-r_binary64_359` `associate-r/_binary64_361` `associate-l*_binary64_360`
3×	`sinh-def_binary64_604`
2×	`*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `associate-*l/_binary64_362` `sum-log_binary64_510` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 60

Calls

4 calls:

10.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

series437.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
121.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
69.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
34.0ms	(sinh.f64 l)

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4961	1143
1	4961	1143

prune77.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

Compiler

Compiled 1311 to 877 computations (33.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.0b	(sinh.f64 l)
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-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
6×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`associate-r_binary64_359` `associate-l_binary64_360`
3×	`sinh-def_binary64_604` `associate-*r/_binary64_361`
2×	`associate-l/_binary64_362` `-commutative_binary64_350`
1×	`flip3-+_binary64_422` `sum-log_binary64_510` `flip-+_binary64_393` `+-commutative_binary64_349`

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)

series441.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
119.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
76.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
35.0ms	(sinh.f64 l)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1260
1	4953	1260

prune72.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

Compiler

Compiled 1330 to 896 computations (32.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)))

series326.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
72.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
72.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
68.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4856	1101
1	4856	1101

prune135.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 2471 to 1866 computations (24.5% saved)

regimes255.0ms (4%)

Compiler: Compiled 2376 to 2256 computations (5.1% 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%)

sample3.2s (50.4%)

Algorithm

1×

intervals

Results

665.0ms	1623×	body	1024	valid
531.0ms	1983×	body	1024	invalid
309.0ms	4438×	body	128	valid
273.0ms	1177×	body	512	valid
241.0ms	3428×	body	128	invalid
191.0ms	982×	body	512	invalid
97.0ms	706×	body	256	valid
65.0ms	501×	body	256	invalid
34.0ms	56×	body	2048	valid

Compiler

Compiled 256 to 243 computations (5.1% saved)

Details

analyze472.0ms (7.4%)

sample95.0ms (1.5%)

simplify193.0ms (3%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite29.0ms (0.5%)

series170.0ms (2.7%)

simplify67.0ms (1.1%)

prune73.0ms (1.1%)

localize11.0ms (0.2%)

rewrite30.0ms (0.5%)

series437.0ms (6.8%)

simplify49.0ms (0.8%)

prune77.0ms (1.2%)

localize11.0ms (0.2%)

rewrite28.0ms (0.4%)

series441.0ms (6.9%)

simplify62.0ms (1%)

prune72.0ms (1.1%)

localize14.0ms (0.2%)

rewrite16.0ms (0.3%)

series326.0ms (5.1%)

simplify91.0ms (1.4%)

prune135.0ms (2.1%)

regimes255.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (50.4%)

Profiling