Details

analyze345.0ms (10.2%)

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)

sample63.0ms (1.9%)

Algorithm

1×

intervals

Results

19.0ms	58×	body	1024	valid
11.0ms	54×	body	1024	invalid
8.0ms	149×	body	128	valid
6.0ms	37×	body	512	valid
3.0ms	23×	body	512	invalid
2.0ms	26×	body	128	invalid
1.0ms	12×	body	256	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify219.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `associate-r_binary64_700`
3×	`prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series74.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune30.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Compiler

Compiled 670 to 255 computations (61.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_796`
5×	`add-exp-log_binary64_798`
4×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
3×	`associate-/r*_binary64_704` `times-frac_binary64_766`
2×	`cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-exp_binary64_811` `pow1_binary64_821`
1×	`frac-2neg_binary64_771` `distribute-lft-out_binary64_711` `prod-exp_binary64_809` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `clear-num_binary64_759`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
6.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

series140.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

91.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
49.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4952	711
1	4952	711

prune36.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 749 to 376 computations (49.8% saved)

regimes61.0ms (1.8%)

Accuracy

Total 0.0b remaining (52.9%)

Threshold costs 0.0b (52.9%)

Compiler

Compiled 290 to 254 computations (12.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.2s (65.8%)

Algorithm

1×

intervals

Results

695.0ms	1999×	body	1024	valid
421.0ms	1923×	body	1024	invalid
249.0ms	4495×	body	128	valid
182.0ms	1004×	body	512	valid
149.0ms	948×	body	512	invalid
56.0ms	501×	body	256	valid
52.0ms	483×	body	256	invalid
44.0ms	734×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 67 to 57 computations (14.9% saved)

Details

analyze345.0ms (10.2%)

sample63.0ms (1.9%)

simplify219.0ms (6.5%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite18.0ms (0.5%)

series74.0ms (2.2%)

simplify78.0ms (2.3%)

prune30.0ms (0.9%)

localize8.0ms (0.2%)

rewrite17.0ms (0.5%)

series140.0ms (4.1%)

simplify51.0ms (1.5%)

prune36.0ms (1.1%)

regimes61.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.2s (65.8%)

Profiling