Details

analyze496.0ms (5.3%)

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)

sample106.0ms (1.1%)

Algorithm

1×

intervals

Results

24.0ms	52×	body	1024	valid
21.0ms	68×	body	1024	invalid
11.0ms	120×	body	128	invalid
10.0ms	148×	body	128	valid
8.0ms	34×	body	512	valid
7.0ms	36×	body	512	invalid
3.0ms	21×	body	256	valid
2.0ms	14×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify275.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

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: 15.7b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 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 (*.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)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
7×	`add-log-exp_binary64_787`
6×	`*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`add-cube-cbrt_binary64_783`
3×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781`
2×	`flip--_binary64_726` `associate-r/_binary64_695` `associate-l/_binary64_696` `flip3--_binary64_755`
1×	`distribute-lft-out--_binary64_705` `+-commutative_binary64_683` `flip3-+_binary64_754` `sinh-undef_binary64_941` `-commutative_binary64_684` `diff-log_binary64_840` `sum-log_binary64_839` `associate-l*_binary64_694` `sub-neg_binary64_744` `flip-+_binary64_725` `difference-of-squares_binary64_720`

Counts

3 → 45

Calls

3 calls:

11.0ms

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

11.0ms

(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

6.0ms

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

series695.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

449.0ms

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

204.0ms

(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

43.0ms

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4939	1206
1	4939	1206

prune58.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	1	55

Merged error: 0.1b

Counts

55 → 1

Compiler

Compiled 1150 to 524 computations (54.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

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

series336.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

262.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
75.0ms	(sinh.f64 l)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4949	538
1	4949	538

prune47.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

Compiler

Compiled 694 to 487 computations (29.8% saved)

localize14.0ms (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))))

rewrite20.0ms (0.2%)

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:

8.0ms	(.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)))
1.0ms	(sinh.f64 l)

series478.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

256.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
149.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
73.0ms	(sinh.f64 l)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5105	879

prune60.0ms (0.6%)

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 1048 to 714 computations (31.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
15.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
15.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
15.3b	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64_695`
11×	`pow1_binary64_809`
10×	`add-sqr-sqrt_binary64_772`
9×	`pow1/3_binary64_830`
8×	`add-cube-cbrt_binary64_783` `-un-lft-identity_binary64_751` `associate-l/_binary64_696`
7×	`cbrt-prod_binary64_779` `sinh-def_binary64_933` `cbrt-div_binary64_780`
6×	`add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `swap-sqr_binary64_718` `associate-l_binary64_694` `associate-r_binary64_693`
2×	`pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819`
1×	`prod-exp_binary64_797` `frac-times_binary64_761` `unswap-sqr_binary64_719` `pow-plus_binary64_811` `*-commutative_binary64_684` `cbrt-unprod_binary64_781` `pow2_binary64_829`

Counts

4 → 64

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
6.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

series2.7s (29.2%)

Counts

4 → 12

Calls

4 calls:

991.0ms	(.f64 (cbrt.f64 (.f64 (.f64 J (.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))))
593.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
573.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))
567.0ms	(cbrt.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))))

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4869	1809
1	4869	1809

prune159.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

Compiler

Compiled 3211 to 2234 computations (30.4% saved)

regimes116.0ms (1.2%)

Compiler: Compiled 886 to 820 computations (7.4% 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%)

sample3.4s (36%)

Algorithm

1×

intervals

Results

814.0ms	1698×	body	1024	valid
602.0ms	1923×	body	1024	invalid
318.0ms	4374×	body	128	valid
301.0ms	1167×	body	512	valid
249.0ms	3525×	body	128	invalid
191.0ms	937×	body	512	invalid
105.0ms	682×	body	256	valid
72.0ms	494×	body	256	invalid
54.0ms	79×	body	2048	valid

Compiler

Compiled 173 to 159 computations (8.1% saved)

Details

analyze496.0ms (5.3%)

sample106.0ms (1.1%)

simplify275.0ms (2.9%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite32.0ms (0.3%)

series695.0ms (7.4%)

simplify45.0ms (0.5%)

prune58.0ms (0.6%)

localize11.0ms (0.1%)

rewrite12.0ms (0.1%)

series336.0ms (3.6%)

simplify70.0ms (0.8%)

prune47.0ms (0.5%)

localize14.0ms (0.1%)

rewrite20.0ms (0.2%)

series478.0ms (5.1%)

simplify57.0ms (0.6%)

prune60.0ms (0.6%)

localize16.0ms (0.2%)

rewrite37.0ms (0.4%)

series2.7s (29.2%)

simplify92.0ms (1%)

prune159.0ms (1.7%)

regimes116.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (36%)

Profiling