Details

analyze1.1s (48.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample40.0ms (1.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	34×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	14	12
2	17	12
3	17	12

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(fma.f64 x.re y.im (*.f64 x.im y.re))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-cube-cbrt_binary64`
5×	`fma-udef_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 33

Calls

1 calls:

10.0ms

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

Compiler

Compiled 339 to 71 computations (79.1% saved)

series32.0ms (1.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

29.0ms

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

Compiler

Compiled 372 to 236 computations (36.6% saved)

simplify96.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

693×	`unsub-neg_binary64`
540×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
404×	`distribute-rgt-in_binary64`
311×	`distribute-rgt-out_binary64`

Counts

57 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	661
1	113	636
2	335	636
3	835	636
4	1822	636
5	3444	636
6	4449	636
7	5039	636

prune7.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

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

Compiler

Compiled 250 to 68 computations (72.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(fma.f64 y.re x.im (*.f64 x.re y.im))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-cube-cbrt_binary64`
5×	`fma-udef_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 33

Calls

1 calls:

10.0ms

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

Compiler

Compiled 339 to 71 computations (79.1% saved)

series29.0ms (1.3%)

Error

Counts

1 → 24

Calls

1 calls:

27.0ms

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

Compiler

Compiled 372 to 236 computations (36.6% saved)

simplify101.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

693×	`unsub-neg_binary64`
539×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
404×	`distribute-rgt-in_binary64`
311×	`distribute-rgt-out_binary64`

Counts

57 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	661
1	113	636
2	335	636
3	835	636
4	1822	636
5	3444	636
6	4449	636
7	5039	636

prune7.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

30 → 2

Alt Table

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

Compiler

Compiled 240 to 61 computations (74.6% saved)

regimes56.0ms (2.5%)

Accuracy

Total 0.0b remaining (97.1%)

Threshold costs 0.0b (97.1%)

Compiler

Compiled 454 to 302 computations (33.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	10	12
2	10	12

end23.0ms (1%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 50 to 30 computations (40% saved)

sample695.0ms (30.9%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
42.0ms	1302×	body	128	invalid

Compiler

Compiled 46 to 30 computations (34.8% saved)

Details

analyze1.1s (48.7%)

sample40.0ms (1.8%)

simplify14.0ms (0.6%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite20.0ms (0.9%)

series32.0ms (1.4%)

simplify96.0ms (4.3%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

rewrite19.0ms (0.8%)

series29.0ms (1.3%)

simplify101.0ms (4.5%)

prune7.0ms (0.3%)

regimes56.0ms (2.5%)

simplify3.0ms (0.1%)

end23.0ms (1%)

sample695.0ms (30.9%)

Profiling