Details

analyze485.0ms (6.2%)

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)

sample101.0ms (1.3%)

Algorithm

1×

intervals

Results

26.0ms	54×	body	1024	valid
21.0ms	70×	body	1024	invalid
10.0ms	149×	body	128	valid
7.0ms	32×	body	512	valid
7.0ms	106×	body	128	invalid
5.0ms	24×	body	512	invalid
3.0ms	22×	body	256	invalid
3.0ms	18×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify262.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

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: 15.4b

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)))
5.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite35.0ms (0.4%)

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)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series333.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

193.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
98.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
41.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5125	1158

prune67.0ms (0.9%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`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`
4×	`add-cube-cbrt_binary64_783` `associate-r/_binary64_695` `-un-lft-identity_binary64_751` `associate-l_binary64_694` `associate-r_binary64_693` `add-sqr-sqrt_binary64_772`
2×	`add-log-exp_binary64_787` `sinh-def_binary64_933` `*-commutative_binary64_684`
1×	`associate-*l/_binary64_696`

Counts

2 → 41

Calls

2 calls:

9.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

series362.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

240.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
122.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4960	676
1	4960	676

prune48.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

Compiler

Compiled 808 to 542 computations (32.9% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`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`
4×	`add-cube-cbrt_binary64_783` `-un-lft-identity_binary64_751` `associate-l_binary64_694` `associate-r*_binary64_693` `add-sqr-sqrt_binary64_772`
3×	`associate-*r/_binary64_695`
2×	`add-log-exp_binary64_787` `sinh-def_binary64_933` `-commutative_binary64_684` `associate-l/_binary64_696`

Counts

2 → 41

Calls

2 calls:

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)))

series356.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

219.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
137.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5150	793

prune46.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

Compiler

Compiled 811 to 545 computations (32.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

rewrite28.0ms (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`
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` `associate-l/_binary64_696`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

series1.8s (23.1%)

Counts

4 → 12

Calls

4 calls:

599.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
408.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
404.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
390.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5081	1120

prune115.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 2443 to 1627 computations (33.4% saved)

regimes66.0ms (0.8%)

Compiler: Compiled 358 to 358 computations (0% 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 (42.9%)

Algorithm

1×

intervals

Results

764.0ms	1612×	body	1024	valid
601.0ms	1937×	body	1024	invalid
477.0ms	1202×	body	512	valid
316.0ms	4452×	body	128	valid
236.0ms	3364×	body	128	invalid
200.0ms	954×	body	512	invalid
102.0ms	673×	body	256	valid
66.0ms	485×	body	256	invalid
41.0ms	61×	body	2048	valid

Compiler

Compiled 85 to 82 computations (3.5% saved)

Details

analyze485.0ms (6.2%)

sample101.0ms (1.3%)

simplify262.0ms (3.4%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite35.0ms (0.4%)

series333.0ms (4.3%)

simplify74.0ms (0.9%)

prune67.0ms (0.9%)

localize12.0ms (0.2%)

rewrite20.0ms (0.3%)

series362.0ms (4.6%)

simplify73.0ms (0.9%)

prune48.0ms (0.6%)

localize11.0ms (0.1%)

rewrite18.0ms (0.2%)

series356.0ms (4.6%)

simplify54.0ms (0.7%)

prune46.0ms (0.6%)

localize15.0ms (0.2%)

rewrite28.0ms (0.4%)

series1.8s (23.1%)

simplify60.0ms (0.8%)

prune115.0ms (1.5%)

regimes66.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (42.9%)

Profiling