Details

analyze473.0ms (8.7%)

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 (81.5%)

Results

1.3s	2076×	body	1024	valid
1.1s	2033×	body	1024	invalid
666.0ms	4582×	body	128	valid
371.0ms	1063×	body	512	valid
355.0ms	1098×	body	512	invalid
197.0ms	513×	body	256	invalid
124.0ms	529×	body	256	valid
103.0ms	785×	body	128	invalid
7.0ms	6×	body	2048	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify110.0ms (2%)

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 (0.1%)

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)))

series17.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

17.0ms

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

rewrite22.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

119×	`add-sqr-sqrt_binary64`
112×	`log1p-expm1-u_binary64`
112×	`expm1-log1p-u_binary64`
111×	`add-log-exp_binary64`
109×	`add-cbrt-cube_binary64`

Counts

1 → 0

Calls

1 calls:

22.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	233	18
2	25	18
0	0	0
1	0	0

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-neg_binary64`
578×	`associate--r+_binary64`
406×	`fma-def_binary64`
240×	`sub-neg_binary64`
179×	`distribute-rgt-neg-in_binary64`

Counts

24 → 18

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	585
1	186	533
2	586	517
3	2279	476
4	4999	476

prune18.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

Counts

19 → 2

Alt Table

Status	Error	Program
▶	0.9b	(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 417 to 235 computations (43.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
✓	0.1b	(.f64 (cos.f64 re) (.f64 im im))

series25.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
10.0ms	(.f64 (cos.f64 re) (.f64 im im))

rewrite70.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
141×	`expm1-udef_binary64`
141×	`log1p-udef_binary64`
127×	`log-pow_binary64`

Counts

2 → 43

Calls

2 calls:

68.0ms	(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
68.0ms	(.f64 (cos.f64 re) (.f64 im im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	161	24
2	1783	24
3	4957	24
4	4935	24
0	0	0
1	0	0

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-neg_binary64`
290×	`distribute-rgt-neg-in_binary64`
280×	`fma-def_binary64`
279×	`sub-neg_binary64`
278×	`distribute-lft-neg-in_binary64`

Counts

91 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	728
1	148	715
2	511	644
3	2186	637
4	4884	637
5	5012	637

prune44.0ms (0.8%)

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

Error

Counts

68 → 2

Alt Table

Status	Error	Program
✓	0.9b	(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 1103 to 545 computations (50.6% saved)

regimes65.0ms (1.2%)

Accuracy

Total 0.0b remaining (31.7%)

Threshold costs 0.0b (31.7%)

Counts

11 → 1

Compiler

Compiled 722 to 530 computations (26.6% 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

end46.0ms (0.8%)

Compiler: Compiled 51 to 37 computations (27.5% saved)

Details

analyze473.0ms (8.7%)

sample4.4s (81.5%)

simplify110.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series17.0ms (0.3%)

rewrite22.0ms (0.4%)

simplify42.0ms (0.8%)

prune18.0ms (0.3%)

localize6.0ms (0.1%)

series25.0ms (0.5%)

rewrite70.0ms (1.3%)

simplify62.0ms (1.1%)

prune44.0ms (0.8%)

regimes65.0ms (1.2%)

simplify2.0ms (0%)

end46.0ms (0.8%)

Profiling