Details

analyze1.1s (14.9%)

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 14 to 11 computations (21.4% saved)

sample192.0ms (2.5%)

Algorithm

1×

intervals

Results

56.0ms	60×	body	1024	valid
45.0ms	65×	body	1024	invalid
19.0ms	139×	body	128	valid
17.0ms	38×	body	512	valid
15.0ms	36×	body	512	invalid
7.0ms	25×	body	256	invalid
5.0ms	19×	body	256	valid
4.0ms	31×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify120.0ms (1.6%)

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

prune4.0ms (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)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series4.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

4.0ms

(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

10.0ms

(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-neg_binary64`
724×	`unswap-sqr_binary64`
476×	`fma-def_binary64`
344×	`associate-l_binary64`
294×	`associate-r_binary64`

Counts

25 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	320
1	128	283
2	295	274
3	724	274
4	2402	273
5	4600	273
6	5145	273

prune39.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	0.6b	(.f64 (.f64 1/2 (cos.f64 re)) (fma.f64 im im 2))

Compiler

Compiled 515 to 241 computations (53.2% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series30.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

30.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (fma.f64 im im 2))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (fma.f64 im im 2))

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

578×	`associate--r+_binary64`
547×	`unswap-sqr_binary64`
507×	`cancel-sign-sub-inv_binary64`
354×	`associate-+l-_binary64`
318×	`fma-neg_binary64`

Counts

46 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	808
1	224	735
2	829	713
3	2445	707
4	4573	707
5	5637	707

prune55.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	0.6b	(.f64 (.f64 1/2 (cos.f64 re)) (fma.f64 im im 2))

Compiler

Compiled 761 to 491 computations (35.5% saved)

regimes101.0ms (1.3%)

Accuracy

Total 0.0b remaining (10.3%)

Threshold costs 0.0b (10.3%)

Counts

7 → 1

Compiler

Compiled 464 to 368 computations (20.7% saved)

simplify4.0ms (0.1%)

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

end1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

sample5.6s (74.6%)

Algorithm

1×

intervals

Results

1.8s	1969×	body	1024	valid
1.3s	1951×	body	1024	invalid
598.0ms	4533×	body	128	valid
417.0ms	990×	body	512	valid
395.0ms	944×	body	512	invalid
152.0ms	504×	body	256	valid
136.0ms	500×	body	256	invalid
99.0ms	710×	body	128	invalid
9.0ms	4×	body	2048	valid

Compiler

Compiled 53 to 41 computations (22.6% saved)

Details

analyze1.1s (14.9%)

sample192.0ms (2.5%)

simplify120.0ms (1.6%)

prune4.0ms (0%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

rewrite11.0ms (0.1%)

simplify83.0ms (1.1%)

prune39.0ms (0.5%)

localize13.0ms (0.2%)

series30.0ms (0.4%)

rewrite10.0ms (0.1%)

simplify110.0ms (1.5%)

prune55.0ms (0.7%)

regimes101.0ms (1.3%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample5.6s (74.6%)

Profiling