Details

analyze87.0ms (8.4%)

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)

sample744.0ms (71.5%)

Symmetry

(sort re im)

Results

713.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 17 computations (41.4% 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

prune32.0ms (3.1%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.6%)

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))

simplify60.0ms (5.8%)

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

prune10.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

24 → 1

Alt Table

Status	Error	Program
▶	0b	(*.f64 (hypot.f64 im re) (hypot.f64 im re))

Compiler

Compiled 230 to 60 computations (73.9% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(*.f64 (hypot.f64 im re) (hypot.f64 im re))

Compiler

Compiled 9 to 4 computations (55.6% saved)

regimes48.0ms (4.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

7 → 1

Compiler

Compiled 356 to 211 computations (40.7% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	5	10

end37.0ms (3.5%)

Remove: (sort re im)
Compiler: Compiled 45 to 20 computations (55.6% saved)

Details

analyze87.0ms (8.4%)

sample744.0ms (71.5%)

simplify6.0ms (0.6%)

prune32.0ms (3.1%)

localize4.0ms (0.3%)

series6.0ms (0.6%)

rewrite1.0ms (0.1%)

simplify60.0ms (5.8%)

prune10.0ms (1%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes48.0ms (4.7%)

simplify2.0ms (0.2%)

end37.0ms (3.5%)

Profiling