Details

analyze132.0ms (6.2%)

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 (1.6%)

Algorithm

1×

intervals

Results

10.0ms	36×	body	1024	valid
7.0ms	187×	body	128	valid
4.0ms	19×	body	1024	invalid
3.0ms	20×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	6×	body	512	invalid
1.0ms	1×	body	2048	valid
0.0ms	10×	body	128	invalid
0.0ms	3×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify164.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_435`
3×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447` `associate-l_binary64_357` `associate-r*_binary64_356`
2×	`add-exp-log_binary64_449`
1×	`*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `add-log-exp_binary64_450` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series60.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4896	219
1	4896	219

prune16.0ms (0.8%)

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

Merged error: 0.0b

Counts

22 → 2

Compiler

Compiled 196 to 60 computations (69.4% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
0.4b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_435`
8×	`pow1_binary64_472` `cbrt-prod_binary64_442` `add-cbrt-cube_binary64_447`
7×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
6×	`add-exp-log_binary64_449`
3×	`pow-unpow_binary64_488` `associate-l_binary64_357` `add-log-exp_binary64_450` `associate-r_binary64_356`
2×	`cube-prod_binary64_439` `cube-mult_binary64_441` `sqr-pow_binary64_386` `pow-pow_binary64_483` `prod-exp_binary64_460` `pow-exp_binary64_479` `pow-prod-down_binary64_482` `unpow3_binary64_477` `unpow-prod-down_binary64_490` `cbrt-unprod_binary64_444` `rem-cube-cbrt_binary64_436`
1×	`*-commutative_binary64_347` `rem-cbrt-cube_binary64_437` `pow-to-exp_binary64_480` `pow1/3_binary64_493` `unswap-sqr_binary64_382`

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series238.0ms (11.1%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
55.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
55.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify110.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4897	728
1	4897	728

prune41.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0.0b

Counts

68 → 2

Compiler

Compiled 737 to 283 computations (61.6% saved)

regimes38.0ms (1.8%)

Compiler: Compiled 87 to 95 computations (-9.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.2s (56.1%)

Algorithm

1×

intervals

Results

383.0ms	1383×	body	1024	valid
230.0ms	5577×	body	128	valid
132.0ms	682×	body	1024	invalid
99.0ms	701×	body	512	valid
44.0ms	327×	body	512	invalid
30.0ms	335×	body	256	valid
12.0ms	144×	body	256	invalid
10.0ms	197×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 24 to 26 computations (-8.3% saved)

Details

analyze132.0ms (6.2%)

sample35.0ms (1.6%)

simplify164.0ms (7.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.3%)

series60.0ms (2.8%)

simplify64.0ms (3%)

prune16.0ms (0.8%)

localize8.0ms (0.4%)

rewrite17.0ms (0.8%)

series238.0ms (11.1%)

simplify110.0ms (5.1%)

prune41.0ms (1.9%)

regimes38.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (56.1%)

Profiling