Details

analyze1.4s (7.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.7%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.9%	0.1%	9
16.4%	83.5%	0.1%	10
19.1%	80.8%	0.1%	11
20.5%	79.4%	0.1%	12
22%	78%	0.1%	13
22.7%	77.2%	0.1%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample15.9s (80.3%)

Results

12.1s	6098×	body	8192	exit
1.5s	2055×	body	1024	valid
726.0ms	4594×	body	128	valid
545.0ms	1005×	body	1024	invalid
418.0ms	1078×	body	512	valid
210.0ms	493×	body	512	invalid
142.0ms	518×	body	256	valid
66.0ms	266×	body	256	invalid
40.0ms	264×	body	128	invalid
13.0ms	11×	body	2048	valid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-def_binary64`
533×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
354×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	65	18
3	99	17
4	154	17
5	269	17
6	532	17
7	916	17
8	3332	17
9	3260	17
10	4006	17
11	4265	17
12	4692	17
13	4840	17
14	4891	17
15	4917	17

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 50 to 35 computations (30% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series19.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

19.0ms

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

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
571×	`fma-def_binary64`
389×	`times-frac_binary64`
350×	`distribute-rgt-in_binary64`
349×	`*-commutative_binary64`

Counts

49 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1187
1	341	1009
2	1284	991
3	3715	991
4	4820	991
5	4982	991

prune33.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
▶	1.9b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (cbrt.f64 (+.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)))

Status

Error

Program

▶

1.9b

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

Compiler

Compiled 1156 to 502 computations (56.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	0.1b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	0.2b	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
✓	1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series1.5s (7.8%)

Counts

4 → 72

Calls

4 calls:

859.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
361.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
295.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
19.0ms	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite92.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
41×	`pow1_binary64`
40×	`flip-+_binary64`
40×	`flip3-+_binary64`

Counts

4 → 162

Calls

4 calls:

27.0ms	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
15.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
13.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
4.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify246.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-l_binary64`
530×	`associate-r_binary64`
382×	`fma-neg_binary64`
365×	`cancel-sign-sub-inv_binary64`
305×	`unswap-sqr_binary64`

Counts

234 → 265

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	306	8454
1	786	6890
2	3023	6654
3	3997	6609
4	4889	6609
5	4922	6609

prune150.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	323	2	325

Error

Counts

325 → 2

Alt Table

Status	Error	Program
✓	1.9b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (cbrt.f64 (+.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)))

Status

Error

Program

✓

1.9b

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

Compiler

Compiled 12962 to 3484 computations (73.1% saved)

regimes91.0ms (0.5%)

Accuracy

Total 0.0b remaining (12.3%)

Threshold costs 0.0b (12.3%)

Counts

14 → 1

Compiler

Compiled 1598 to 1040 computations (34.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	18	18
2	20	18
3	21	18
4	21	18

end48.0ms (0.2%)

Compiler: Compiled 69 to 43 computations (37.7% saved)

Details

analyze1.4s (7.3%)

sample15.9s (80.3%)

simplify114.0ms (0.6%)

prune2.0ms (0%)

localize8.0ms (0%)

series19.0ms (0.1%)

rewrite10.0ms (0.1%)

simplify82.0ms (0.4%)

prune33.0ms (0.2%)

localize11.0ms (0.1%)

series1.5s (7.8%)

rewrite92.0ms (0.5%)

simplify246.0ms (1.2%)

prune150.0ms (0.8%)

regimes91.0ms (0.5%)

simplify2.0ms (0%)

end48.0ms (0.2%)

Profiling