Details

analyze200.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample35.0ms (1.4%)

Algorithm

1×

intervals

Results

10.0ms	43×	body	1024	valid
7.0ms	182×	body	128	valid
3.0ms	18×	body	1024	invalid
2.0ms	19×	body	512	valid
1.0ms	14×	body	512	invalid
1.0ms	12×	body	256	valid
0.0ms	5×	body	256	invalid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify145.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune3.0ms (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 10 to 10 computations (0% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_441`
3×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360` `add-cbrt-cube_binary64_455` `pow1_binary64_480`
2×	`add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

1 → 18

Calls

1 calls:

11.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

series55.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

55.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

simplify124.0ms (5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4923	219
1	4923	219

prune26.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

Counts

22 → 2

Compiler

Compiled 198 to 59 computations (70.2% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(sqrt.f64 (exp.f64 re))

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_441`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435` `pow1_binary64_480`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`associate-l_binary64_360`
8×	`sqrt-pow1_binary64_437`
7×	`associate-r_binary64_359`
6×	`exp-prod_binary64_471`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`pow1/2_binary64_499` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `rem-sqrt-square_binary64_432`

Counts

4 → 75

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
4.0ms	(sqrt.f64 (exp.f64 re))
4.0ms	(sqrt.f64 (exp.f64 re))

series155.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
57.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
15.0ms	(sqrt.f64 (exp.f64 re))
13.0ms	(sqrt.f64 (exp.f64 re))

simplify117.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4861	844
1	4861	844

prune92.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Error

Counts

89 → 2

Compiler

Compiled 1123 to 259 computations (76.9% saved)

regimes47.0ms (1.9%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Compiler

Compiled 97 to 90 computations (7.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.4s (57.1%)

Algorithm

1×

intervals

Results

401.0ms	1333×	body	1024	valid
299.0ms	5659×	body	128	valid
137.0ms	627×	body	1024	invalid
117.0ms	687×	body	512	valid
49.0ms	325×	body	512	invalid
37.0ms	318×	body	256	valid
19.0ms	152×	body	256	invalid
11.0ms	183×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 26 to 25 computations (3.8% saved)

Details

analyze200.0ms (8%)

sample35.0ms (1.4%)

simplify145.0ms (5.8%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

rewrite13.0ms (0.5%)

series55.0ms (2.2%)

simplify124.0ms (5%)

prune26.0ms (1%)

localize12.0ms (0.5%)

rewrite35.0ms (1.4%)

series155.0ms (6.2%)

simplify117.0ms (4.7%)

prune92.0ms (3.7%)

regimes47.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (57.1%)

Profiling