Details

analyze490.0ms (7.1%)

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)

sample107.0ms (1.5%)

Algorithm

1×

intervals

Results

29.0ms	55×	body	1024	valid
19.0ms	61×	body	1024	invalid
11.0ms	44×	body	512	valid
9.0ms	132×	body	128	valid
8.0ms	106×	body	128	invalid
6.0ms	27×	body	512	invalid
4.0ms	24×	body	256	valid
3.0ms	23×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify267.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4734	24
1	4734	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: 18.3b

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)))
5.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_772`
10×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786`
9×	`associate-r_binary64_693`
6×	`add-cube-cbrt_binary64_783`
5×	`add-log-exp_binary64_787`
4×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r/_binary64_695` `associate-l*_binary64_694` `cbrt-unprod_binary64_781`
3×	`flip--_binary64_726` `sub-neg_binary64_744` `flip3--_binary64_755`
2×	`distribute-lft-out--_binary64_705` `sinh-undef_binary64_941` `-commutative_binary64_684` `associate-l/_binary64_696` `difference-of-squares_binary64_720`
1×	`unswap-sqr_binary64_719` `distribute-lft-in_binary64_702` `diff-log_binary64_840` `distribute-rgt-in_binary64_703`

Counts

3 → 59

Calls

3 calls:

12.0ms	(.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))))
10.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series374.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

221.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
113.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
40.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5125	1158

prune68.0ms (1%)

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 1376 to 593 computations (56.9% saved)

localize13.0ms (0.2%)

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)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-r/_binary64_695` `associate-l_binary64_694` `associate-r*_binary64_693`
3×	`add-log-exp_binary64_787` `sinh-def_binary64_933`
2×	`*-commutative_binary64_684`
1×	`associate-*l/_binary64_696`

Counts

3 → 49

Calls

3 calls:

9.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
7.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
2.0ms	(sinh.f64 l)

series464.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

253.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
134.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
77.0ms	(sinh.f64 l)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5010	750

prune66.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

Compiler

Compiled 1029 to 695 computations (32.5% saved)

localize11.0ms (0.2%)

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))))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-l_binary64_694` `associate-r_binary64_693`
3×	`add-log-exp_binary64_787` `sinh-def_binary64_933` `associate-*r/_binary64_695`
2×	`-commutative_binary64_684` `associate-l/_binary64_696`

Counts

3 → 49

Calls

3 calls:

10.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
7.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
2.0ms	(sinh.f64 l)

series485.0ms (7%)

Counts

3 → 9

Calls

3 calls:

247.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
159.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
79.0ms	(sinh.f64 l)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5105	879

prune58.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

Compiler

Compiled 1040 to 706 computations (32.1% saved)

localize18.0ms (0.3%)

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)))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_779`
23×	`add-sqr-sqrt_binary64_772`
15×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
11×	`pow1_binary64_809`
9×	`pow1/3_binary64_830`
6×	`swap-sqr_binary64_718` `associate-l_binary64_694` `add-exp-log_binary64_786` `associate-r_binary64_693`
4×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
2×	`pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819`
1×	`prod-exp_binary64_797` `pow-plus_binary64_811` `*-commutative_binary64_684` `cbrt-unprod_binary64_781` `pow2_binary64_829`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.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)))

series575.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
130.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
125.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
125.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4908	1101
1	4908	1101

prune133.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

Compiler

Compiled 2471 to 1866 computations (24.5% saved)

regimes91.0ms (1.3%)

Compiler: Compiled 598 to 580 computations (3% 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%)

sample3.3s (48%)

Algorithm

1×

intervals

Results

809.0ms	1664×	body	1024	valid
608.0ms	1963×	body	1024	invalid
327.0ms	4431×	body	128	valid
298.0ms	1163×	body	512	valid
262.0ms	3516×	body	128	invalid
202.0ms	958×	body	512	invalid
108.0ms	698×	body	256	valid
66.0ms	469×	body	256	invalid
29.0ms	44×	body	2048	valid

Compiler

Compiled 125 to 119 computations (4.8% saved)

Details

analyze490.0ms (7.1%)

sample107.0ms (1.5%)

simplify267.0ms (3.9%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite39.0ms (0.6%)

series374.0ms (5.4%)

simplify73.0ms (1.1%)

prune68.0ms (1%)

localize13.0ms (0.2%)

rewrite23.0ms (0.3%)

series464.0ms (6.7%)

simplify56.0ms (0.8%)

prune66.0ms (1%)

localize11.0ms (0.2%)

rewrite23.0ms (0.3%)

series485.0ms (7%)

simplify60.0ms (0.9%)

prune58.0ms (0.8%)

localize18.0ms (0.3%)

rewrite22.0ms (0.3%)

series575.0ms (8.3%)

simplify73.0ms (1.1%)

prune133.0ms (1.9%)

regimes91.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (48%)

Profiling