Details

analyze339.0ms (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample66.0ms (1.8%)

Algorithm

1×

intervals

Results

20.0ms	58×	body	1024	valid
13.0ms	62×	body	1024	invalid
8.0ms	149×	body	128	valid
5.0ms	31×	body	512	valid
5.0ms	31×	body	512	invalid
2.0ms	18×	body	256	valid
1.0ms	14×	body	256	invalid
1.0ms	16×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify219.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5290	18

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`-un-lft-identity_binary64_419` `associate-r*_binary64_359`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `associate-*r/_binary64_361`
1×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-out_binary64_370` `distribute-lft-in_binary64_368` `-commutative_binary64_350` `associate-l*_binary64_360` `flip-+_binary64_393`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series134.0ms (3.6%)

Counts

1 → 10

Calls

1 calls:

133.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 237 to 194 computations (18.1% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5213	631

prune28.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 522 to 208 computations (60.2% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

0.7b

(*.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite43.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
14×	`sqrt-div_binary64_436` `associate-r_binary64_359`
10×	`-un-lft-identity_binary64_419` `associate-r/_binary64_361`
9×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
8×	`sqrt-prod_binary64_435`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`frac-times_binary64_429`
2×	`associate-l/_binary64_362` `add-log-exp_binary64_458` `distribute-lft-out_binary64_370` `-commutative_binary64_350` `associate-l_binary64_360`

Counts

2 → 57

Calls

2 calls:

25.0ms

(*.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

12.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

series323.0ms (8.6%)

Counts

2 → 20

Calls

2 calls:

176.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

147.0ms

(*.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

Compiler

Compiled 680 to 520 computations (23.5% saved)

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4884	1944
1	4884	1944

prune67.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

Counts

79 → 2

Compiler

Compiled 1810 to 604 computations (66.6% saved)

regimes93.0ms (2.5%)

Accuracy

Total 0.0b remaining (46.8%)

Threshold costs 0.0b (46.8%)

Compiler

Compiled 710 to 530 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.3s (60.2%)

Algorithm

1×

intervals

Results

672.0ms	1982×	body	1024	valid
408.0ms	1883×	body	1024	invalid
250.0ms	4453×	body	128	valid
182.0ms	1070×	body	512	valid
158.0ms	1025×	body	512	invalid
54.0ms	489×	body	256	valid
52.0ms	486×	body	256	invalid
47.0ms	697×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 133 to 102 computations (23.3% saved)

Details

analyze339.0ms (9.1%)

sample66.0ms (1.8%)

simplify219.0ms (5.8%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series134.0ms (3.6%)

simplify62.0ms (1.7%)

prune28.0ms (0.7%)

localize13.0ms (0.4%)

rewrite43.0ms (1.2%)

series323.0ms (8.6%)

simplify76.0ms (2%)

prune67.0ms (1.8%)

regimes93.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (60.2%)

Profiling