Details

analyze507.0ms (9.4%)

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)

sample4.4s (82.5%)

Results

1.4s	2096×	body	1024	valid
1.1s	2059×	body	1024	invalid
652.0ms	4600×	body	128	valid
408.0ms	1086×	body	512	valid
352.0ms	993×	body	512	invalid
121.0ms	490×	body	256	invalid
112.0ms	467×	body	256	valid
102.0ms	705×	body	128	invalid
8.0ms	7×	body	2048	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify111.0ms (2.1%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	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)

localize9.0ms (0.2%)

Local error

Found 2 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)))
✓	0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series20.0ms (0.4%)

Counts

2 → 32

Calls

2 calls:

18.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

7.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
445×	`fma-neg_binary64`
389×	`times-frac_binary64`
362×	`*-commutative_binary64`
355×	`distribute-rgt-in_binary64`

Counts

74 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1507
1	389	1292
2	1387	1265
3	3915	1265
4	5044	1265

prune46.0ms (0.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	1	83

Error

Counts

83 → 1

Alt Table

Status	Error	Program
✓	0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 1609 to 670 computations (58.4% saved)

regimes110.0ms (2.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

8 → 1

Compiler

Compiled 554 to 416 computations (24.9% saved)

simplify3.0ms (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

end43.0ms (0.8%)

Compiler: Compiled 39 to 30 computations (23.1% saved)

Details

analyze507.0ms (9.4%)

sample4.4s (82.5%)

simplify111.0ms (2.1%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series20.0ms (0.4%)

rewrite13.0ms (0.2%)

simplify75.0ms (1.4%)

prune46.0ms (0.9%)

regimes110.0ms (2.1%)

simplify3.0ms (0.1%)

end43.0ms (0.8%)

Profiling