Details

analyze66.0ms (7.4%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample31.0ms (3.5%)

Algorithm

1×

intervals

Symmetry

(sort re im)

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify6.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	9	8
3	9	8

prune2.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 31 to 14 computations (54.8% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 re re (*.f64 im im))

series6.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(fma.f64 re re (*.f64 im im))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 re re (*.f64 im im))

simplify63.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-l_binary64`
644×	`associate-+l+_binary64`
599×	`associate-r_binary64`
588×	`associate-+r+_binary64`
575×	`fma-def_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	292
1	27	263
2	59	263
3	141	263
4	506	263
5	2877	263
6	4856	263
7	4984	263

prune12.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (hypot.f64 im re) (hypot.f64 im re))
✓	0.0b	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 238 to 64 computations (73.1% saved)

localize3.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 im re)
✓	0.0b	(*.f64 (hypot.f64 im re) (hypot.f64 im re))

series56.0ms (6.3%)

Counts

2 → 48

Calls

2 calls:

46.0ms	(*.f64 (hypot.f64 im re) (hypot.f64 im re))
11.0ms	(hypot.f64 im re)

rewrite10.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`hypot-udef_binary64`

Counts

2 → 39

Calls

2 calls:

8.0ms	(*.f64 (hypot.f64 im re) (hypot.f64 im re))
0.0ms	(hypot.f64 im re)

simplify66.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-neg_binary64`
529×	`cancel-sign-sub-inv_binary64`
315×	`neg-mul-1_binary64`
262×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`

Counts

87 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	1096
1	224	1007
2	646	961
3	2510	953
4	4393	890
5	4972	890

prune54.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Error

Counts

132 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (hypot.f64 im re) (hypot.f64 im re))
✓	0.0b	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 1944 to 830 computations (57.3% saved)

regimes66.0ms (7.3%)

Accuracy

Total 0.0b remaining (37.9%)

Threshold costs 0.0b (37.9%)

Counts

13 → 1

Compiler

Compiled 574 to 321 computations (44.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end6.0ms (0.6%)

Remove: (sort re im)
Compiler: Compiled 24 to 12 computations (50% saved)

sample441.0ms (49.3%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 37 to 20 computations (45.9% saved)

Details

analyze66.0ms (7.4%)

sample31.0ms (3.5%)

simplify6.0ms (0.6%)

prune2.0ms (0.3%)

localize4.0ms (0.4%)

series6.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify63.0ms (7.1%)

prune12.0ms (1.3%)

localize3.0ms (0.4%)

series56.0ms (6.3%)

rewrite10.0ms (1.1%)

simplify66.0ms (7.4%)

prune54.0ms (6.1%)

regimes66.0ms (7.3%)

simplify2.0ms (0.2%)

end6.0ms (0.6%)

sample441.0ms (49.3%)

Profiling